Details

analyze12.3s (24.6%)

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)

sample930.0ms (1.9%)

Algorithm

1×

intervals

Results

650.0ms	166×	body	1024	valid
107.0ms	15×	body	2048	valid
98.0ms	38×	body	512	valid
25.0ms	17×	body	256	valid
13.0ms	20×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify562.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (266.0ms)

Iter	Nodes	Cost
0	4731	103
1	4731	103

prune13.0ms (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)

localize66.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite55.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1121` `add-sqr-sqrt_binary64_1109` `sin-diff_binary64_1221` `add-exp-log_binary64_1123` `div-sub_binary64_1093` `add-log-exp_binary64_1124` `pow1_binary64_1146` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`

Counts

4 → 32

Calls

4 calls:

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

series281.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
70.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
68.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
67.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify258.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (238.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune337.0ms (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: 24.7b

Counts

45 → 10

Compiler

Compiled 3816 to 2297 computations (39.8% saved)

localize81.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.0b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite62.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1116`
7×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
4×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `add-log-exp_binary64_1124` `pow1_binary64_1146`
3×	`cube-prod_binary64_1113` `unpow-prod-down_binary64_1164` `sin-diff_binary64_1221` `div-sub_binary64_1093`
1×	`unpow3_binary64_1151` `sqr-pow_binary64_1060` `cube-mult_binary64_1115` `rem-cbrt-cube_binary64_1111` `pow1/3_binary64_1167`

Counts

4 → 45

Calls

4 calls:

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

series282.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
75.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
64.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
64.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify162.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune408.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	56	11	67

Merged error: 24.7b

Counts

67 → 11

Compiler

Compiled 4928 to 3001 computations (39.1% saved)

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.0b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
8.0b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite70.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_1116`
10×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
6×	`cube-prod_binary64_1113` `unpow-prod-down_binary64_1164`
4×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `add-log-exp_binary64_1124` `pow1_binary64_1146`
2×	`unpow3_binary64_1151` `sqr-pow_binary64_1060` `cube-mult_binary64_1115` `sin-diff_binary64_1221` `rem-cbrt-cube_binary64_1111` `div-sub_binary64_1093` `pow1/3_binary64_1167`

Counts

4 → 58

Calls

4 calls:

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

series316.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
81.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
76.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
76.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify165.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4780	1046
1	4780	1046

prune476.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	70	11	81

Merged error: 24.7b

Counts

81 → 11

Compiler

Compiled 5986 to 3675 computations (38.6% saved)

localize88.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite57.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1121` `add-sqr-sqrt_binary64_1109` `sin-diff_binary64_1221` `add-exp-log_binary64_1123` `div-sub_binary64_1093` `add-log-exp_binary64_1124` `pow1_binary64_1146` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`

Counts

4 → 32

Calls

4 calls:

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

series292.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
74.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
72.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
65.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify261.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (241.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune307.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	39	16	55

Merged error: 24.6b

Counts

55 → 16

Compiler

Compiled 3828 to 2254 computations (41.1% saved)

regimes1.3s (2.5%)

Compiler: Compiled 10830 to 7832 computations (27.7% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	126	113
1	126	113

end0.0ms (0%)

sample31.0s (61.7%)

Algorithm

1×

intervals

Results

20.8s	5237×	body	1024	valid
3.1s	421×	body	2048	valid
3.0s	1266×	body	512	valid
563.0ms	374×	body	256	valid
445.0ms	702×	body	128	valid
19.0ms	5×	body	1024	invalid

Compiler

Compiled 1486 to 1071 computations (27.9% saved)

Details

analyze12.3s (24.6%)

sample930.0ms (1.9%)

simplify562.0ms (1.1%)

prune13.0ms (0%)

localize66.0ms (0.1%)

rewrite55.0ms (0.1%)

series281.0ms (0.6%)

simplify258.0ms (0.5%)

prune337.0ms (0.7%)

localize81.0ms (0.2%)

rewrite62.0ms (0.1%)

series282.0ms (0.6%)

simplify162.0ms (0.3%)

prune408.0ms (0.8%)

localize82.0ms (0.2%)

rewrite70.0ms (0.1%)

series316.0ms (0.6%)

simplify165.0ms (0.3%)

prune476.0ms (0.9%)

localize88.0ms (0.2%)

rewrite57.0ms (0.1%)

series292.0ms (0.6%)

simplify261.0ms (0.5%)

prune307.0ms (0.6%)

regimes1.3s (2.5%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample31.0s (61.7%)

Profiling