Details

analyze6.4s (15%)

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)

sample433.0ms (1%)

Algorithm

1×

intervals

Results

317.0ms	174×	body	1024	valid
44.0ms	34×	body	512	valid
31.0ms	11×	body	2048	valid
12.0ms	16×	body	256	valid
7.0ms	21×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify201.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

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

Error

23.1b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize29.0ms (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))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`sin-diff_binary64_4306` `pow1_binary64_4231` `add-sqr-sqrt_binary64_4192` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `add-cbrt-cube_binary64_4206` `div-sub_binary64_4175` `add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205`

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))

series335.0ms (0.8%)

Counts

4 → 44

Calls

4 calls:

89.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
86.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
81.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
78.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 4452 to 3282 computations (26.3% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5209	1314

prune341.0ms (0.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	55	21	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	21	77

Error

22.1b

Counts

77 → 21

Compiler

Compiled 6962 to 4288 computations (38.4% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 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))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`sin-diff_binary64_4306` `pow1_binary64_4231` `add-sqr-sqrt_binary64_4192` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `add-cbrt-cube_binary64_4206` `div-sub_binary64_4175` `add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205`

Counts

4 → 32

Calls

4 calls:

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

series366.0ms (0.9%)

Counts

4 → 43

Calls

4 calls:

102.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
95.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
92.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
77.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 5258 to 4026 computations (23.4% saved)

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4972	1273
1	4972	1273

prune435.0ms (1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	59	16	75
Fresh	8	12	20
Picked	1	0	1
Done	0	0	0
Total	68	28	96

Error

21.5b

Counts

96 → 28

Compiler

Compiled 8531 to 5677 computations (33.5% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`sin-diff_binary64_4306` `pow1_binary64_4231` `add-sqr-sqrt_binary64_4192` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `add-cbrt-cube_binary64_4206` `div-sub_binary64_4175` `add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205`

Counts

4 → 32

Calls

4 calls:

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

series387.0ms (0.9%)

Counts

4 → 40

Calls

4 calls:

108.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
107.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
87.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
86.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 5824 to 4580 computations (21.4% saved)

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4972	1168
1	4972	1168

prune525.0ms (1.2%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	55	17	72
Fresh	9	18	27
Picked	1	0	1
Done	0	0	0
Total	65	35	100

Error

21.0b

Counts

100 → 35

Compiler

Compiled 9999 to 7018 computations (29.8% saved)

localize57.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda1 2)) (cos.f64 (/.f64 lambda2 2))) (.f64 (cos.f64 (/.f64 lambda1 2)) (sin.f64 (/.f64 lambda2 2))))) (-.f64 (.f64 (sin.f64 (/.f64 lambda1 2)) (cos.f64 (/.f64 lambda2 2))) (*.f64 (cos.f64 (/.f64 lambda1 2)) (sin.f64 (/.f64 lambda2 2)))))))
2.6b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite46.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_4209`
8×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
5×	`add-cube-cbrt_binary64_4205`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
3×	`sin-diff_binary64_4306` `div-sub_binary64_4175` `cancel-sign-sub-inv_binary64_4136`
2×	`diff-log_binary64_4262` `difference-of-squares_binary64_4139`
1×	`associate--r+_binary64_4106` `flip3--_binary64_4174` `distribute-lft-out--_binary64_4122` `sum-log_binary64_4261` `flip--_binary64_4145` `sub-neg_binary64_4163`

Counts

4 → 43

Calls

4 calls:

19.0ms	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda1 2)) (cos.f64 (/.f64 lambda2 2))) (.f64 (cos.f64 (/.f64 lambda1 2)) (sin.f64 (/.f64 lambda2 2))))) (-.f64 (.f64 (sin.f64 (/.f64 lambda1 2)) (cos.f64 (/.f64 lambda2 2))) (*.f64 (cos.f64 (/.f64 lambda1 2)) (sin.f64 (/.f64 lambda2 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))

series4.9s (11.6%)

Counts

4 → 57

Calls

4 calls:

4.5s	(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda1 2)) (cos.f64 (/.f64 lambda2 2))) (.f64 (cos.f64 (/.f64 lambda1 2)) (sin.f64 (/.f64 lambda2 2))))) (-.f64 (.f64 (sin.f64 (/.f64 lambda1 2)) (cos.f64 (/.f64 lambda2 2))) (*.f64 (cos.f64 (/.f64 lambda1 2)) (sin.f64 (/.f64 lambda2 2)))))))
119.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
117.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
114.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 10504 to 8216 computations (21.8% saved)

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4960	7036
1	4960	7036

prune907.0ms (2.1%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	83	17	100
Fresh	16	18	34
Picked	1	0	1
Done	0	0	0
Total	100	35	135

Error

11.5b

Counts

135 → 35

Compiler

Compiled 12448 to 8764 computations (29.6% saved)

regimes6.5s (15.3%)

Accuracy

Total 0.7b remaining (5.2%)

Threshold costs 0.7b (5.2%)

Compiler

Compiled 115508 to 88331 computations (23.5% saved)

bsearch0.0ms (0%)

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	569	187
1	569	187

end0.0ms (0%)

sample19.9s (47.2%)

Algorithm

1×

intervals

Results

9.1s	5307×	body	1024	valid
1.4s	476×	body	2048	valid
1.4s	1209×	body	512	valid
270.0ms	370×	body	256	valid
214.0ms	638×	body	128	valid
3.0ms	2×	body	1024	invalid
1.0ms	1×	body	512	invalid

Compiler

Compiled 9568 to 7327 computations (23.4% saved)

Details

analyze6.4s (15%)

sample433.0ms (1%)

simplify201.0ms (0.5%)

prune6.0ms (0%)

localize29.0ms (0.1%)

rewrite27.0ms (0.1%)

series335.0ms (0.8%)

simplify74.0ms (0.2%)

prune341.0ms (0.8%)

localize42.0ms (0.1%)

rewrite27.0ms (0.1%)

series366.0ms (0.9%)

simplify96.0ms (0.2%)

prune435.0ms (1%)

localize48.0ms (0.1%)

rewrite29.0ms (0.1%)

series387.0ms (0.9%)

simplify94.0ms (0.2%)

prune525.0ms (1.2%)

localize57.0ms (0.1%)

rewrite46.0ms (0.1%)

series4.9s (11.6%)

simplify92.0ms (0.2%)

prune907.0ms (2.1%)

regimes6.5s (15.3%)

bsearch0.0ms (0%)

simplify25.0ms (0.1%)

end0.0ms (0%)

sample19.9s (47.2%)

Profiling