Details

analyze6.6s (24.9%)

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)

sample475.0ms (1.8%)

Algorithm

1×

intervals

Results

334.0ms	161×	body	1024	valid
53.0ms	42×	body	512	valid
40.0ms	10×	body	2048	valid
18.0ms	18×	body	256	valid
8.0ms	25×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify323.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4731	103
1	4731	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: 25.1b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cube-cbrt_binary64_1457` `sin-diff_binary64_1558` `div-sub_binary64_1430` `add-sqr-sqrt_binary64_1446` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461` `*-un-lft-identity_binary64_1425`

Counts

4 → 32

Calls

4 calls:

6.0ms	(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))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series145.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify143.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune181.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	34	10	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	10	45

Merged error: 24.5b

Counts

45 → 10

Compiler

Compiled 3817 to 2298 computations (39.8% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cube-cbrt_binary64_1457` `sin-diff_binary64_1558` `div-sub_binary64_1430` `add-sqr-sqrt_binary64_1446` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461` `*-un-lft-identity_binary64_1425`

Counts

4 → 32

Calls

4 calls:

6.0ms	(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))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series150.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify143.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune184.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	41	13	54

Merged error: 24.5b

Counts

54 → 13

Compiler

Compiled 4147 to 2564 computations (38.2% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite34.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1453`
7×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
4×	`add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461`
3×	`sin-diff_binary64_1558` `div-sub_binary64_1430` `unpow-prod-down_binary64_1501` `cube-prod_binary64_1450`
1×	`unpow3_binary64_1488` `pow1/3_binary64_1504` `cube-mult_binary64_1452` `rem-cbrt-cube_binary64_1448` `sqr-pow_binary64_1397`

Counts

4 → 45

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.0ms	(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))

series161.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune247.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	56	14	70

Merged error: 24.5b

Counts

70 → 14

Compiler

Compiled 5292 to 3298 computations (37.7% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cube-cbrt_binary64_1457` `sin-diff_binary64_1558` `div-sub_binary64_1430` `add-sqr-sqrt_binary64_1446` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461` `*-un-lft-identity_binary64_1425`

Counts

4 → 32

Calls

4 calls:

8.0ms	(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))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series153.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify146.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune140.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	44	14	58

Merged error: 24.5b

Counts

58 → 14

Compiler

Compiled 3256 to 1946 computations (40.2% saved)

regimes556.0ms (2.1%)

Compiler: Compiled 8606 to 6320 computations (26.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	125	111
1	125	111

end0.0ms (0%)

sample16.5s (61.8%)

Algorithm

1×

intervals

Results

10.9s	5231×	body	1024	valid
1.8s	435×	body	2048	valid
1.7s	1283×	body	512	valid
306.0ms	374×	body	256	valid
232.0ms	677×	body	128	valid
2.0ms	1×	body	1024	invalid

Compiler

Compiled 1206 to 880 computations (27% saved)

Details

analyze6.6s (24.9%)

sample475.0ms (1.8%)

simplify323.0ms (1.2%)

prune6.0ms (0%)

localize36.0ms (0.1%)

rewrite30.0ms (0.1%)

series145.0ms (0.5%)

simplify143.0ms (0.5%)

prune181.0ms (0.7%)

localize40.0ms (0.1%)

rewrite30.0ms (0.1%)

series150.0ms (0.6%)

simplify143.0ms (0.5%)

prune184.0ms (0.7%)

localize47.0ms (0.2%)

rewrite34.0ms (0.1%)

series161.0ms (0.6%)

simplify91.0ms (0.3%)

prune247.0ms (0.9%)

localize40.0ms (0.2%)

rewrite32.0ms (0.1%)

series153.0ms (0.6%)

simplify146.0ms (0.5%)

prune140.0ms (0.5%)

regimes556.0ms (2.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample16.5s (61.8%)

Profiling