Details

analyze2.3s (12.2%)

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
0.8%	99%	0.2%	11
4.7%	95.1%	0.2%	12
5.9%	93.2%	0.8%	13
8.5%	90.2%	1.3%	14

Compiler

Compiled 33 to 22 computations (33.3% saved)

sample82.0ms (0.4%)

Algorithm

1×

intervals

Results

21.0ms	205×	body	128	valid
11.0ms	21×	body	1024	valid
9.0ms	16×	body	1024	invalid
8.0ms	75×	body	128	invalid
7.0ms	20×	body	512	valid
4.0ms	11×	body	512	invalid
2.0ms	10×	body	256	valid
1.0ms	5×	body	256	invalid

Compiler

Compiled 65 to 48 computations (26.2% saved)

simplify297.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4986	49
1	4986	49

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 36.1b

Counts

2 → 1

Compiler

Compiled 64 to 42 computations (34.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
5.3b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.3b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
33.2b	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite83.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

142×	`associate-*l/_binary64_696`
102×	`flip--_binary64_726` `flip3--_binary64_755`
68×	`frac-times_binary64_761`
66×	`sqrt-div_binary64_767`
64×	`frac-add_binary64_759`
44×	`pow1_binary64_809`
34×	`associate-*r/_binary64_695`
17×	`pow-prod-down_binary64_819`
16×	`add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
8×	`prod-exp_binary64_797` `cbrt-unprod_binary64_781`
6×	`add-sqr-sqrt_binary64_772`
5×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
4×	`pow-sqr_binary64_724` `add-log-exp_binary64_787` `pow-prod-up_binary64_818`
3×	`sqrt-prod_binary64_766`
2×	`pow-plus_binary64_811`
1×	`flip3-+_binary64_754` `rem-sqrt-square_binary64_764` `pow1/2_binary64_828` `-commutative_binary64_684` `swap-sqr_binary64_718` `associate-l_binary64_694` `associate-r*_binary64_693` `pow2_binary64_829` `sqrt-pow1_binary64_768` `flip-+_binary64_725`

Counts

4 → 135

Calls

4 calls:

21.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
17.0ms	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
6.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))

series1.6s (8.6%)

Counts

4 → 12

Calls

4 calls:

1.3s	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
276.0ms	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
30.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
29.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5181	10334

prune289.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	140	7	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	7	148

Merged error: 24.9b

Counts

148 → 7

Compiler

Compiled 8755 to 2922 computations (66.6% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
5.3b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.3b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
33.2b	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite70.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

128×	`associate-*l/_binary64_696`
96×	`flip--_binary64_726` `flip3--_binary64_755`
66×	`sqrt-div_binary64_767`
64×	`frac-times_binary64_761` `frac-add_binary64_759`
32×	`associate-*r/_binary64_695`
8×	`add-sqr-sqrt_binary64_772`
7×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
6×	`pow1_binary64_809`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `log-pow_binary64_837` `add-exp-log_binary64_786`
3×	`exp-prod_binary64_800` `log-prod_binary64_834` `sqrt-prod_binary64_766`
1×	`rem-log-exp_binary64_789` `flip3-+_binary64_754` `rem-sqrt-square_binary64_764` `pow1/2_binary64_828` `sqrt-pow1_binary64_768` `flip-+_binary64_725`

Counts

4 → 108

Calls

4 calls:

22.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
6.0ms	(log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
5.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))

series2.2s (11.9%)

Counts

4 → 12

Calls

4 calls:

2.1s	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
82.0ms	(log.f64 (exp.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
27.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
25.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5318	9530

prune256.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	119	8	127

Merged error: 24.9b

Counts

127 → 8

Compiler

Compiled 8049 to 2712 computations (66.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.3b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.3b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
33.2b	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
33.2b	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite129.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

256×	`associate-*l/_binary64_696`
192×	`flip--_binary64_726` `flip3--_binary64_755`
132×	`sqrt-div_binary64_767`
128×	`frac-times_binary64_761` `frac-add_binary64_759`
64×	`associate-*r/_binary64_695`
8×	`add-sqr-sqrt_binary64_772`
6×	`add-cube-cbrt_binary64_783` `pow1_binary64_809` `*-un-lft-identity_binary64_751` `sqrt-prod_binary64_766`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
2×	`flip3-+_binary64_754` `rem-sqrt-square_binary64_764` `pow1/2_binary64_828` `sqrt-pow1_binary64_768` `flip-+_binary64_725`

Counts

4 → 172

Calls

4 calls:

25.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
21.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
5.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))

series2.7s (14.5%)

Counts

4 → 12

Calls

4 calls:

1.3s	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
1.3s	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
26.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
25.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))

simplify146.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5484	18224

prune701.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	184	8	192

Merged error: 24.9b

Counts

192 → 8

Compiler

Compiled 19620 to 6688 computations (65.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.3b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.3b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.8b	(exp.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))
33.2b	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite134.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

256×	`associate-*l/_binary64_696`
192×	`flip--_binary64_726` `flip3--_binary64_755`
132×	`sqrt-div_binary64_767`
128×	`frac-times_binary64_761` `frac-add_binary64_759`
66×	`log-div_binary64_835` `exp-diff_binary64_796`
64×	`associate-*r/_binary64_695`
9×	`add-sqr-sqrt_binary64_772`
8×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
7×	`pow1_binary64_809`
6×	`exp-prod_binary64_800` `log-prod_binary64_834` `sqrt-prod_binary64_766` `exp-sum_binary64_794`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
3×	`log-pow_binary64_837`
2×	`flip3-+_binary64_754` `pow1/2_binary64_828` `sqrt-pow1_binary64_768` `flip-+_binary64_725`
1×	`rem-sqrt-square_binary64_764` `rem-exp-log_binary64_788`

Counts

4 → 179

Calls

4 calls:

36.0ms	(exp.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))
22.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
6.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))

series3.1s (16.9%)

Counts

4 → 12

Calls

4 calls:

1.8s	(exp.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))
1.3s	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
26.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
25.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))

simplify150.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5180	18510

prune434.0ms (2.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	183	8	191
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	184	15	199

Merged error: 17.2b

Counts

199 → 15

Compiler

Compiled 13915 to 4356 computations (68.7% saved)

regimes506.0ms (2.7%)

Compiler: Compiled 5174 to 3412 computations (34.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 29 to 19 computations (34.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	109
1	63	109

end0.0ms (0%)

sample3.1s (16.7%)

Algorithm

1×

intervals

Results

645.0ms	6065×	body	128	valid
464.0ms	827×	body	1024	valid
261.0ms	715×	body	512	valid
252.0ms	2449×	body	128	invalid
251.0ms	458×	body	1024	invalid
142.0ms	387×	body	512	invalid
103.0ms	391×	body	256	valid
41.0ms	178×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 625 to 411 computations (34.2% saved)

Details

analyze2.3s (12.2%)

sample82.0ms (0.4%)

simplify297.0ms (1.6%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite83.0ms (0.4%)

series1.6s (8.6%)

simplify93.0ms (0.5%)

prune289.0ms (1.6%)

localize24.0ms (0.1%)

rewrite70.0ms (0.4%)

series2.2s (11.9%)

simplify88.0ms (0.5%)

prune256.0ms (1.4%)

localize20.0ms (0.1%)

rewrite129.0ms (0.7%)

series2.7s (14.5%)

simplify146.0ms (0.8%)

prune701.0ms (3.8%)

localize20.0ms (0.1%)

rewrite134.0ms (0.7%)

series3.1s (16.9%)

simplify150.0ms (0.8%)

prune434.0ms (2.3%)

regimes506.0ms (2.7%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.1s (16.7%)

Profiling