Details

analyze6.3s (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)

sample414.0ms (1.6%)

Algorithm

1×

intervals

Results

285.0ms	165×	body	1024	valid
52.0ms	43×	body	512	valid
39.0ms	14×	body	2048	valid
8.0ms	11×	body	256	valid
7.0ms	23×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify194.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	103

prune7.0ms (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: 22.3b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`div-sub_binary64_1788` `add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `sin-diff_binary64_1919` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

4 → 32

Calls

4 calls:

7.0ms	(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))

series85.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify157.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4752	612
1	4752	612

prune186.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	33	11	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	11	45

Merged error: 21.6b

Counts

45 → 11

Compiler

Compiled 3884 to 2346 computations (39.6% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.2b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1814`
7×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`div-sub_binary64_1788` `unpow-prod-down_binary64_1862` `sin-diff_binary64_1919` `cube-prod_binary64_1811`
1×	`sqr-pow_binary64_1755` `rem-cbrt-cube_binary64_1807` `cube-mult_binary64_1813` `unpow3_binary64_1849` `pow1/3_binary64_1865`

Counts

4 → 45

Calls

4 calls:

7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series88.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
23.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune245.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	52	16	68

Merged error: 21.6b

Counts

68 → 16

Compiler

Compiled 5281 to 3256 computations (38.3% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
5×	`pow1_binary64_1844`
4×	`div-sub_binary64_1788` `add-cbrt-cube_binary64_1819` `log-pow_binary64_1872` `add-exp-log_binary64_1821` `sin-diff_binary64_1919` `add-log-exp_binary64_1822`
3×	`log-prod_binary64_1869` `exp-prod_binary64_1835`
1×	`exp-diff_binary64_1831` `rem-log-exp_binary64_1824` `log-div_binary64_1870`

Counts

4 → 40

Calls

4 calls:

7.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 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 lambda1 lambda2) 2))

series136.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
27.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
23.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4940	732
1	4940	732

prune218.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	54	14	68

Merged error: 21.6b

Counts

68 → 14

Compiler

Compiled 4781 to 2935 computations (38.6% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
5×	`pow1_binary64_1844`
4×	`div-sub_binary64_1788` `add-cbrt-cube_binary64_1819` `log-pow_binary64_1872` `add-exp-log_binary64_1821` `sin-diff_binary64_1919` `add-log-exp_binary64_1822`
3×	`log-prod_binary64_1869` `exp-prod_binary64_1835`
1×	`exp-diff_binary64_1831` `rem-log-exp_binary64_1824` `log-div_binary64_1870`

Counts

4 → 40

Calls

4 calls:

7.0ms	(log.f64 (exp.f64 (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))

series135.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
26.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
21.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4940	732
1	4940	732

prune175.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	52	14	66

Merged error: 21.6b

Counts

66 → 14

Compiler

Compiled 3887 to 2330 computations (40.1% saved)

regimes1.8s (7%)

Compiler: Compiled 29896 to 21676 computations (27.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	132	112
1	132	112

end0.0ms (0%)

sample15.4s (58.8%)

Algorithm

1×

intervals

Results

9.3s	5310×	body	1024	valid
1.6s	1219×	body	512	valid
1.4s	436×	body	2048	valid
286.0ms	391×	body	256	valid
207.0ms	644×	body	128	valid
2.0ms	1×	body	1024	invalid

Compiler

Compiled 2588 to 1875 computations (27.6% saved)

Details

analyze6.3s (24.2%)

sample414.0ms (1.6%)

simplify194.0ms (0.7%)

prune7.0ms (0%)

localize35.0ms (0.1%)

rewrite27.0ms (0.1%)

series85.0ms (0.3%)

simplify157.0ms (0.6%)

prune186.0ms (0.7%)

localize36.0ms (0.1%)

rewrite32.0ms (0.1%)

series88.0ms (0.3%)

simplify80.0ms (0.3%)

prune245.0ms (0.9%)

localize39.0ms (0.1%)

rewrite30.0ms (0.1%)

series136.0ms (0.5%)

simplify96.0ms (0.4%)

prune218.0ms (0.8%)

localize43.0ms (0.2%)

rewrite30.0ms (0.1%)

series135.0ms (0.5%)

simplify94.0ms (0.4%)

prune175.0ms (0.7%)

regimes1.8s (7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample15.4s (58.8%)

Profiling