Details

analyze6.5s (23.1%)

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)

sample437.0ms (1.5%)

Algorithm

1×

intervals

Results

287.0ms	166×	body	1024	valid
56.0ms	45×	body	512	valid
52.0ms	16×	body	2048	valid
7.0ms	22×	body	128	valid
5.0ms	7×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify193.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	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

Error

23.3b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize38.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
0.1b	(sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1478` `sin-diff_binary64_1578` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503` `div-sub_binary64_1447` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`

Counts

4 → 32

Calls

8 calls:

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))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series347.0ms (1.2%)

Counts

4 → 46

Calls

4 calls:

89.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
88.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
86.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
84.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 4576 to 3336 computations (27.1% saved)

simplify93.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4940	1330
1	4940	1330

prune463.0ms (1.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	59	19	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	19	79

Error

22.4b

Counts

79 → 19

Compiler

Compiled 6928 to 4221 computations (39.1% saved)

localize42.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
0.1b	(sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1473`
7×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1_binary64_1503`
3×	`sin-diff_binary64_1578` `cube-prod_binary64_1470` `div-sub_binary64_1447` `unpow-prod-down_binary64_1521`
1×	`cube-mult_binary64_1472` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466`

Counts

4 → 45

Calls

8 calls:

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))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series361.0ms (1.3%)

Counts

4 → 46

Calls

4 calls:

92.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
90.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
90.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
89.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

Compiler

Compiled 4720 to 3480 computations (26.3% saved)

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4935	1527
1	4935	1527

prune416.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	91	19	110

Error

22.4b

Counts

110 → 19

Compiler

Compiled 8030 to 4941 computations (38.5% saved)

localize41.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
0.1b	(sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1473`
7×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1_binary64_1503`
3×	`sin-diff_binary64_1578` `cube-prod_binary64_1470` `div-sub_binary64_1447` `unpow-prod-down_binary64_1521`
1×	`cube-mult_binary64_1472` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466`

Counts

4 → 45

Calls

8 calls:

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))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series365.0ms (1.3%)

Counts

4 → 45

Calls

4 calls:

93.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
92.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
91.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
88.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

Compiler

Compiled 4720 to 3480 computations (26.3% saved)

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4935	1486
1	4935	1486

prune425.0ms (1.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	88	21	109

Error

22.4b

Counts

109 → 21

Compiler

Compiled 8077 to 4988 computations (38.2% saved)

localize45.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
0.1b	(sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
0.1b	(*.f64 (cos.f64 phi1) (cos.f64 phi2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))
5.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite44.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`cbrt-prod_binary64_1473`
24×	`cube-prod_binary64_1470` `unpow-prod-down_binary64_1521`
16×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-cbrt-cube_binary64_1478` `cube-mult_binary64_1472` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `pow1_binary64_1503`
2×	`sin-diff_binary64_1578` `pow1/3_binary64_1524` `div-sub_binary64_1447` `rem-cbrt-cube_binary64_1466`

Counts

4 → 82

Calls

8 calls:

10.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))
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))
0.0ms	(*.f64 (cos.f64 phi1) (cos.f64 phi2))

series370.0ms (1.3%)

Counts

4 → 44

Calls

4 calls:

96.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
92.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
92.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
90.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))

Compiler

Compiled 4816 to 3576 computations (25.7% saved)

simplify103.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4916	2212
1	4916	2212

prune521.0ms (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	127	20	147

Error

22.4b

Counts

147 → 20

Compiler

Compiled 9380 to 5580 computations (40.5% saved)

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	1394	4183
1	1394	4183

regimes1.3s (4.5%)

Compiler: Compiled 21118 to 15560 computations (26.3% saved)

bsearch0.0ms (0%)

regimes280.0ms (1%)

Accuracy

Total 1.0b remaining (4.2%)

Threshold costs 0b (0%)

Compiler

Compiled 4286 to 3136 computations (26.8% saved)

bsearch7.0ms (0%)

Compiler: Compiled 144 to 106 computations (26.4% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	175	230
1	175	230

end0.0ms (0%)

sample15.6s (55%)

Algorithm

1×

intervals

Results

9.4s	5331×	body	1024	valid
1.6s	457×	body	2048	valid
1.4s	1239×	body	512	valid
272.0ms	356×	body	256	valid
195.0ms	617×	body	128	valid
3.0ms	2×	body	1024	invalid

Compiler

Compiled 2845 to 2091 computations (26.5% saved)

Pareto

0.0

Details

analyze6.5s (23.1%)

sample437.0ms (1.5%)

simplify193.0ms (0.7%)

prune6.0ms (0%)

localize38.0ms (0.1%)

rewrite28.0ms (0.1%)

series347.0ms (1.2%)

simplify93.0ms (0.3%)

prune463.0ms (1.6%)

localize42.0ms (0.1%)

rewrite31.0ms (0.1%)

series361.0ms (1.3%)

simplify77.0ms (0.3%)

prune416.0ms (1.5%)

localize41.0ms (0.1%)

rewrite31.0ms (0.1%)

series365.0ms (1.3%)

simplify81.0ms (0.3%)

prune425.0ms (1.5%)

localize45.0ms (0.2%)

rewrite44.0ms (0.2%)

series370.0ms (1.3%)

simplify103.0ms (0.4%)

prune521.0ms (1.8%)

simplify83.0ms (0.3%)

regimes1.3s (4.5%)

bsearch0.0ms (0%)

regimes280.0ms (1%)

bsearch7.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample15.6s (55%)

Profiling