Details

analyze12.6s (24.2%)

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)

sample809.0ms (1.6%)

Algorithm

1×

intervals

Results

581.0ms	171×	body	1024	valid
86.0ms	38×	body	512	valid
63.0ms	11×	body	2048	valid
21.0ms	21×	body	128	valid
21.0ms	15×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify373.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (190.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	103

prune12.0ms (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: 24.0b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize62.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.3b	(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))

rewrite56.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_2465` `sin-diff_binary64_2601` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `div-sub_binary64_2470` `add-sqr-sqrt_binary64_2487` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`

Counts

4 → 32

Calls

4 calls:

12.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
11.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
11.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
11.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series152.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify254.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (233.0ms)

Iter	Nodes	Cost
0	4808	612
1	4808	612

prune341.0ms (0.7%)

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: 22.7b

Counts

45 → 12

Compiler

Compiled 3968 to 2408 computations (39.3% saved)

localize89.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.3b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite53.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_2465` `sin-diff_binary64_2601` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `div-sub_binary64_2470` `add-sqr-sqrt_binary64_2487` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`

Counts

4 → 32

Calls

4 calls:

11.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
10.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
10.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
10.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

series147.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

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

simplify255.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	4808	612
1	4808	612

prune395.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	41	15	56

Merged error: 12.4b

Counts

56 → 15

Compiler

Compiled 4843 to 3168 computations (34.6% saved)

localize73.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite58.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_2465` `sin-diff_binary64_2601` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `div-sub_binary64_2470` `add-sqr-sqrt_binary64_2487` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`

Counts

4 → 32

Calls

4 calls:

13.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
11.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
10.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
10.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series152.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify293.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (271.0ms)

Iter	Nodes	Cost
0	4752	612
1	4752	612

prune476.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	42	17	59

Merged error: 12.3b

Counts

59 → 17

Compiler

Compiled 5712 to 3932 computations (31.2% saved)

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.3b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
9.1b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite66.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_2496`
7×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
3×	`sin-diff_binary64_2601` `cube-prod_binary64_2493` `div-sub_binary64_2470` `unpow-prod-down_binary64_2544`
1×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `pow1/3_binary64_2547` `sqr-pow_binary64_2437` `rem-cbrt-cube_binary64_2489`

Counts

4 → 45

Calls

4 calls:

13.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
12.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
11.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
10.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series154.0ms (0.3%)

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

simplify146.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune466.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	4	12	16
Picked	1	0	1
Done	0	0	0
Total	55	19	74

Merged error: 12.3b

Counts

74 → 19

Compiler

Compiled 5589 to 3773 computations (32.5% saved)

regimes4.1s (8%)

Compiler: Compiled 39532 to 29644 computations (25% saved)

bsearch0.0ms (0%)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	154	150
1	154	150

end0.0ms (0%)

sample30.3s (58.2%)

Algorithm

1×

intervals

Results

17.9s	5296×	body	1024	valid
2.8s	410×	body	2048	valid
2.7s	1203×	body	512	valid
549.0ms	391×	body	256	valid
434.0ms	700×	body	128	valid
3.0ms	1×	body	1024	invalid

Compiler

Compiled 3415 to 2560 computations (25% saved)

Details

analyze12.6s (24.2%)

sample809.0ms (1.6%)

simplify373.0ms (0.7%)

prune12.0ms (0%)

localize62.0ms (0.1%)

rewrite56.0ms (0.1%)

series152.0ms (0.3%)

simplify254.0ms (0.5%)

prune341.0ms (0.7%)

localize89.0ms (0.2%)

rewrite53.0ms (0.1%)

series147.0ms (0.3%)

simplify255.0ms (0.5%)

prune395.0ms (0.8%)

localize73.0ms (0.1%)

rewrite58.0ms (0.1%)

series152.0ms (0.3%)

simplify293.0ms (0.6%)

prune476.0ms (0.9%)

localize82.0ms (0.2%)

rewrite66.0ms (0.1%)

series154.0ms (0.3%)

simplify146.0ms (0.3%)

prune466.0ms (0.9%)

regimes4.1s (8%)

bsearch0.0ms (0%)

simplify9.0ms (0%)

end0.0ms (0%)

sample30.3s (58.2%)

Profiling