Details

analyze2.0s (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)

sample170.0ms (1.5%)

Algorithm

1×

intervals

Results

115.0ms	148×	body	1024	valid
22.0ms	50×	body	512	valid
10.0ms	36×	body	128	valid
5.0ms	3×	body	2048	valid
5.0ms	19×	body	256	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify185.0ms (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: 1.4b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
3.2b	(sin.f64 (-.f64 lambda1 lambda2))
3.2b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 38

Calls

4 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))
1.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))

series375.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
77.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
32.0ms	(sin.f64 (-.f64 lambda1 lambda2))
31.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4805	950
1	4805	950

prune88.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	38	12	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	12	51

Merged error: 1.1b

Counts

51 → 12

Compiler

Compiled 1658 to 453 computations (72.7% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
3.2b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite24.0ms (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`
3×	`cos-diff_binary64_548` `sub-neg_binary64_407` `associate-l_binary64_357` `associate-r_binary64_356`
2×	`distribute-lft-in_binary64_365` `distribute-rgt-in_binary64_366` `associate-+r+_binary64_348` `associate-*r/_binary64_358`
1×	`flip3--_binary64_418` `flip3-+_binary64_417` `*-commutative_binary64_347` `+-commutative_binary64_346` `prod-exp_binary64_460` `cos-sum_binary64_545` `pow-prod-down_binary64_482` `flip-+_binary64_388` `flip--_binary64_389` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `sum-log_binary64_502`

Counts

4 → 51

Calls

4 calls:

8.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))

series630.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

281.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
221.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
97.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
31.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4974	1613
1	4974	1613

prune91.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	65	10	75

Merged error: 0.1b

Counts

75 → 10

Compiler

Compiled 2492 to 458 computations (81.6% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_435`
8×	`pow1_binary64_472` `add-cube-cbrt_binary64_446` `add-exp-log_binary64_449` `*-un-lft-identity_binary64_414` `add-cbrt-cube_binary64_447`
6×	`associate-l_binary64_357` `add-log-exp_binary64_450` `associate-r_binary64_356`
2×	`-commutative_binary64_347` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `sub-neg_binary64_407` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `associate-r/_binary64_358`
1×	`distribute-lft-in_binary64_365` `flip3--_binary64_418` `flip3-+_binary64_417` `distribute-rgt-in_binary64_366` `+-commutative_binary64_346` `flip-+_binary64_388` `flip--_binary64_389` `sum-log_binary64_502` `sin-mult_binary64_566`

Counts

4 → 59

Calls

4 calls:

8.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
6.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2)))
1.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2))) (.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2))))

series712.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

284.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
239.0ms	(+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2)))
120.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2))) (.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2))))
70.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4947	1845
1	4947	1845

prune107.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	71	10	81

Merged error: 0.1b

Counts

81 → 10

Compiler

Compiled 3412 to 500 computations (85.3% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
0.7b	(log.f64 (exp.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
3.2b	(sin.f64 (-.f64 lambda1 lambda2))
3.2b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-log-exp_binary64_450` `add-sqr-sqrt_binary64_435`
5×	`pow1_binary64_472`
4×	`log-pow_binary64_500` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `log-prod_binary64_497`
3×	`exp-prod_binary64_463`
2×	`sub-neg_binary64_407`
1×	`flip3-+_binary64_417` `rem-log-exp_binary64_452` `sin-diff_binary64_547` `exp-sum_binary64_457` `+-commutative_binary64_346` `cos-sum_binary64_545` `cos-diff_binary64_548` `flip-+_binary64_388` `sin-sum_binary64_544` `sum-log_binary64_502`

Counts

4 → 45

Calls

4 calls:

5.0ms	(log.f64 (exp.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
5.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

series677.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

393.0ms	(log.f64 (exp.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
223.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
35.0ms	(sin.f64 (-.f64 lambda1 lambda2))
26.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4930	968
1	4930	968

prune56.0ms (0.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	56	11	67

Merged error: 0.1b

Counts

67 → 11

Compiler

Compiled 1556 to 301 computations (80.7% saved)

regimes178.0ms (1.6%)

Compiler: Compiled 2158 to 1240 computations (42.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	61
1	59	61

end0.0ms (0%)

sample5.6s (49.3%)

Algorithm

1×

intervals

Results

3.7s	4370×	body	1024	valid
793.0ms	1792×	body	512	valid
210.0ms	113×	body	2048	valid
199.0ms	712×	body	256	valid
144.0ms	1013×	body	128	valid

Compiler

Compiled 415 to 239 computations (42.4% saved)

Details

analyze2.0s (17.4%)

sample170.0ms (1.5%)

simplify185.0ms (1.6%)

prune3.0ms (0%)

localize21.0ms (0.2%)

rewrite18.0ms (0.2%)

series375.0ms (3.3%)

simplify114.0ms (1%)

prune88.0ms (0.8%)

localize34.0ms (0.3%)

rewrite24.0ms (0.2%)

series630.0ms (5.5%)

simplify76.0ms (0.7%)

prune91.0ms (0.8%)

localize31.0ms (0.3%)

rewrite28.0ms (0.2%)

series712.0ms (6.2%)

simplify66.0ms (0.6%)

prune107.0ms (0.9%)

localize25.0ms (0.2%)

rewrite25.0ms (0.2%)

series677.0ms (5.9%)

simplify76.0ms (0.7%)

prune56.0ms (0.5%)

regimes178.0ms (1.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.6s (49.3%)

Profiling