Details

analyze2.1s (17.4%)

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
9.4%	90.4%	0.2%	9
9.4%	90.4%	0.2%	10
10.9%	88.9%	0.2%	11
10.9%	88.9%	0.2%	12
10.9%	88.9%	0.2%	13
10.9%	88.9%	0.2%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample176.0ms (1.5%)

Algorithm

1×

intervals

Results

121.0ms	148×	body	1024	valid
28.0ms	64×	body	512	valid
5.0ms	3×	body	2048	valid
5.0ms	18×	body	256	valid
3.0ms	23×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify184.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	211	32
1	211	32

prune3.0ms (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: 1.1b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
4.3b	(sin.f64 (-.f64 lambda1 lambda2))
4.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_435`
6×	`pow1_binary64_472` `add-cube-cbrt_binary64_446` `add-exp-log_binary64_449` `*-un-lft-identity_binary64_414` `add-cbrt-cube_binary64_447` `add-log-exp_binary64_450`
4×	`sub-neg_binary64_407`
3×	`cos-diff_binary64_548` `associate-l_binary64_357` `sin-sum_binary64_544` `associate-r_binary64_356`
2×	`distribute-lft-in_binary64_365` `distribute-rgt-in_binary64_366` `associate-+r+_binary64_348`
1×	`flip3-+_binary64_417` `sin-diff_binary64_547` `*-commutative_binary64_347` `+-commutative_binary64_346` `prod-exp_binary64_460` `cos-sum_binary64_545` `pow-prod-down_binary64_482` `flip-+_binary64_388` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `sum-log_binary64_502`

Counts

4 → 51

Calls

4 calls:

8.0ms	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

series411.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

218.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
129.0ms	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
33.0ms	(sin.f64 (-.f64 lambda1 lambda2))
30.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4958	945
1	4958	945

prune98.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	51	12	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	12	64

Merged error: 0.9b

Counts

64 → 12

Compiler

Compiled 1979 to 513 computations (74.1% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(atan2.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2))) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b	(.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
4.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
6×	`add-log-exp_binary64_450`
5×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
3×	`prod-exp_binary64_460` `pow-prod-down_binary64_482` `cos-diff_binary64_548` `associate-r_binary64_356` `cbrt-unprod_binary64_444`
2×	`associate-+r+_binary64_348`
1×	`distribute-lft-in_binary64_365` `flip3-+_binary64_417` `distribute-rgt-in_binary64_366` `-commutative_binary64_347` `+-commutative_binary64_346` `cos-sum_binary64_545` `sub-neg_binary64_407` `associate-l*_binary64_357` `flip-+_binary64_388` `sum-log_binary64_502`

Counts

4 → 47

Calls

4 calls:

6.0ms	(.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2))
4.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))
1.0ms	(atan2.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2))) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))

series476.0ms (4%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
130.0ms	(.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2))
96.0ms	(atan2.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2))) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
32.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4830	1247
1	4830	1247

prune92.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	61	10	71

Merged error: 0.0b

Counts

71 → 10

Compiler

Compiled 2469 to 471 computations (80.9% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(atan2.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2))) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.2b	(.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.5b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
9×	`add-sqr-sqrt_binary64_435`
7×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
6×	`add-log-exp_binary64_450` `associate-r_binary64_356`
4×	`prod-exp_binary64_460` `pow-prod-down_binary64_482` `associate-l_binary64_357` `cbrt-unprod_binary64_444`
2×	`*-commutative_binary64_347` `associate-+r+_binary64_348`
1×	`distribute-lft-in_binary64_365` `flip3-+_binary64_417` `distribute-rgt-in_binary64_366` `+-commutative_binary64_346` `flip-+_binary64_388` `unswap-sqr_binary64_382` `sum-log_binary64_502` `sin-mult_binary64_566`

Counts

4 → 57

Calls

4 calls:

7.0ms	(.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
1.0ms	(atan2.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2))) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

series773.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

452.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
135.0ms	(.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2))
113.0ms	(atan2.f64 (+.f64 (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2))) (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
73.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4920	1685
1	4920	1685

prune105.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

Compiler

Compiled 3306 to 517 computations (84.4% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.5b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (log.f64 (exp.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
3.9b	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`pow1_binary64_472`
11×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
10×	`add-sqr-sqrt_binary64_435`
8×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
7×	`add-log-exp_binary64_450`
6×	`associate-r_binary64_356`
4×	`prod-exp_binary64_460` `pow-prod-down_binary64_482` `associate-l_binary64_357` `cbrt-unprod_binary64_444`
3×	`log-pow_binary64_500` `log-prod_binary64_497`
2×	`*-commutative_binary64_347` `associate-+r+_binary64_348`
1×	`distribute-lft-in_binary64_365` `flip3-+_binary64_417` `rem-log-exp_binary64_452` `distribute-rgt-in_binary64_366` `exp-to-pow_binary64_473` `+-commutative_binary64_346` `flip-+_binary64_388` `unswap-sqr_binary64_382` `sum-log_binary64_502` `sin-mult_binary64_566` `exp-prod_binary64_463`

Counts

4 → 64

Calls

4 calls:

6.0ms	(.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (log.f64 (exp.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
2.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

series842.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

503.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (log.f64 (exp.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
135.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
134.0ms	(.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (cos.f64 phi2))
70.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4952	1264
1	4952	1264

prune100.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

Compiler

Compiled 3349 to 461 computations (86.2% saved)

regimes157.0ms (1.3%)

Compiler: Compiled 1822 to 1090 computations (40.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	65
1	77	65

end0.0ms (0%)

sample5.8s (49%)

Algorithm

1×

intervals

Results

3.6s	4477×	body	1024	valid
1.0s	1710×	body	512	valid
221.0ms	120×	body	2048	valid
206.0ms	723×	body	256	valid
146.0ms	970×	body	128	valid

Compiler

Compiled 361 to 216 computations (40.2% saved)

Details

analyze2.1s (17.4%)

sample176.0ms (1.5%)

simplify184.0ms (1.6%)

prune3.0ms (0%)

localize22.0ms (0.2%)

rewrite26.0ms (0.2%)

series411.0ms (3.5%)

simplify80.0ms (0.7%)

prune98.0ms (0.8%)

localize33.0ms (0.3%)

rewrite22.0ms (0.2%)

series476.0ms (4%)

simplify80.0ms (0.7%)

prune92.0ms (0.8%)

localize34.0ms (0.3%)

rewrite26.0ms (0.2%)

series773.0ms (6.6%)

simplify72.0ms (0.6%)

prune105.0ms (0.9%)

localize38.0ms (0.3%)

rewrite28.0ms (0.2%)

series842.0ms (7.2%)

simplify70.0ms (0.6%)

prune100.0ms (0.8%)

regimes157.0ms (1.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.8s (49%)

Profiling