Details

analyze6.1s (15.4%)

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 (1.1%)

Algorithm

1×

intervals

Results

308.0ms	178×	body	1024	valid
49.0ms	17×	body	2048	valid
47.0ms	43×	body	512	valid
5.0ms	8×	body	256	valid
3.0ms	10×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify422.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

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

25.0b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1478` `sin-diff_binary64_1578` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503` `div-sub_binary64_1447` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`

Counts

4 → 32

Calls

4 calls:

8.0ms	(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))

series348.0ms (0.9%)

Counts

4 → 46

Calls

4 calls:

88.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
87.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
87.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
86.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 4576 to 3336 computations (27.1% saved)

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4940	1330
1	4940	1330

prune351.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	59	19	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	19	79

Error

24.0b

Counts

79 → 19

Compiler

Compiled 6934 to 4228 computations (39% saved)

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1478` `sin-diff_binary64_1578` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503` `div-sub_binary64_1447` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`

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))

series409.0ms (1%)

Counts

4 → 43

Calls

4 calls:

128.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
98.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
95.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
88.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 5194 to 3938 computations (24.2% saved)

simplify97.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5051	1225

prune435.0ms (1.1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	60	15	75
Fresh	5	13	18
Picked	1	0	1
Done	0	0	0
Total	66	28	94

Error

23.4b

Counts

94 → 28

Compiler

Compiled 8485 to 5616 computations (33.8% saved)

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1478` `sin-diff_binary64_1578` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503` `div-sub_binary64_1447` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`

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))

series407.0ms (1%)

Counts

4 → 43

Calls

4 calls:

106.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
104.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
99.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
98.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 6000 to 4673 computations (22.1% saved)

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5051	1225

prune530.0ms (1.3%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	6	21	27
Picked	1	0	1
Done	0	0	0
Total	71	32	103

Error

13.1b

Counts

103 → 32

Compiler

Compiled 9925 to 6893 computations (30.5% saved)

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (cos.f64 (/.f64 phi2 2))) (.f64 (cos.f64 (/.f64 phi1 2)) (sin.f64 (/.f64 phi2 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 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)))))))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite41.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_1481`
8×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
5×	`add-cube-cbrt_binary64_1477`
4×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
3×	`cancel-sign-sub-inv_binary64_1408` `sin-diff_binary64_1578` `div-sub_binary64_1447`
2×	`diff-log_binary64_1534` `difference-of-squares_binary64_1411`
1×	`sum-log_binary64_1533` `sub-neg_binary64_1435` `flip3--_binary64_1446` `flip--_binary64_1417` `associate--r+_binary64_1378` `distribute-lft-out--_binary64_1394`

Counts

4 → 43

Calls

4 calls:

12.0ms	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (cos.f64 (/.f64 phi2 2))) (.f64 (cos.f64 (/.f64 phi1 2)) (sin.f64 (/.f64 phi2 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 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 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series3.8s (9.6%)

Counts

4 → 55

Calls

4 calls:

3.4s	(-.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (cos.f64 (/.f64 phi2 2))) (.f64 (cos.f64 (/.f64 phi1 2)) (sin.f64 (/.f64 phi2 2)))) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 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)))))))
117.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
114.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
101.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 10095 to 7820 computations (22.5% saved)

simplify85.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5018	6622

prune865.0ms (2.2%)

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	79	19	98
Fresh	9	22	31
Picked	1	0	1
Done	0	0	0
Total	89	41	130

Error

12.9b

Counts

130 → 41

Compiler

Compiled 12029 to 8432 computations (29.9% saved)

regimes5.5s (14.1%)

Accuracy

Total 0.6b remaining (4.4%)

Threshold costs 0.6b (4.4%)

Compiler

Compiled 100034 to 75878 computations (24.1% saved)

bsearch0.0ms (0%)

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	569	187
1	569	187

end0.0ms (0%)

sample19.1s (48.5%)

Algorithm

1×

intervals

Results

9.2s	5256×	body	1024	valid
1.5s	1299×	body	512	valid
1.3s	416×	body	2048	valid
293.0ms	396×	body	256	valid
210.0ms	633×	body	128	valid

Compiler

Compiled 8265 to 6279 computations (24% saved)

Details

analyze6.1s (15.4%)

sample433.0ms (1.1%)

simplify422.0ms (1.1%)

prune6.0ms (0%)

localize31.0ms (0.1%)

rewrite29.0ms (0.1%)

series348.0ms (0.9%)

simplify94.0ms (0.2%)

prune351.0ms (0.9%)

localize44.0ms (0.1%)

rewrite29.0ms (0.1%)

series409.0ms (1%)

simplify97.0ms (0.2%)

prune435.0ms (1.1%)

localize61.0ms (0.2%)

rewrite27.0ms (0.1%)

series407.0ms (1%)

simplify76.0ms (0.2%)

prune530.0ms (1.3%)

localize51.0ms (0.1%)

rewrite41.0ms (0.1%)

series3.8s (9.6%)

simplify85.0ms (0.2%)

prune865.0ms (2.2%)

regimes5.5s (14.1%)

bsearch0.0ms (0%)

simplify26.0ms (0.1%)

end0.0ms (0%)

sample19.1s (48.5%)

Profiling