Details

analyze1.9s (16.6%)

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)

sample165.0ms (1.5%)

Algorithm

1×

intervals

Results

110.0ms	140×	body	1024	valid
23.0ms	55×	body	512	valid
7.0ms	4×	body	2048	valid
7.0ms	26×	body	256	valid
4.0ms	31×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify188.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

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)

localize20.0ms (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))))
6.0b	(sin.f64 (-.f64 lambda1 lambda2))
6.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_421` `add-cube-cbrt_binary64_456` `add-log-exp_binary64_460` `add-sqr-sqrt_binary64_443` `cancel-sign-sub-inv_binary64_387`
4×	`cos-sum_binary64_555` `pow1_binary64_482` `sin-sum_binary64_554` `add-cbrt-cube_binary64_457` `add-exp-log_binary64_459`
3×	`cos-diff_binary64_558`
2×	`sub-neg_binary64_414` `associate-+r+_binary64_353`
1×	`flip3-+_binary64_424` `sin-diff_binary64_557` `sum-log_binary64_512` `+-commutative_binary64_351` `distribute-lft-in_binary64_370` `distribute-rgt-in_binary64_371` `flip-+_binary64_395`

Counts

4 → 44

Calls

4 calls:

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

series357.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
69.0ms	(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))

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4992	1058
1	4992	1058

prune95.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	42	14	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	14	57

Merged error: 0.9b

Counts

57 → 14

Compiler

Compiled 1860 to 484 computations (74% saved)

localize29.0ms (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))))
6.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_443`
7×	`*-un-lft-identity_binary64_421` `add-cube-cbrt_binary64_456`
6×	`add-log-exp_binary64_460` `pow1_binary64_482` `add-cbrt-cube_binary64_457` `add-exp-log_binary64_459`
5×	`cancel-sign-sub-inv_binary64_387`
4×	`cos-sum_binary64_555`
3×	`sub-neg_binary64_414` `associate-l_binary64_362` `associate-r_binary64_361` `distribute-lft-in_binary64_370` `distribute-rgt-in_binary64_371` `cos-diff_binary64_558`
2×	`associate-*r/_binary64_363` `associate-+r+_binary64_353`
1×	`flip3-+_binary64_424` `flip3--_binary64_425` `*-commutative_binary64_352` `flip--_binary64_396` `sum-log_binary64_512` `+-commutative_binary64_351` `pow-prod-down_binary64_492` `flip-+_binary64_395` `unswap-sqr_binary64_389` `cbrt-unprod_binary64_454` `prod-exp_binary64_470`

Counts

4 → 56

Calls

4 calls:

9.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
5.0ms	(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)))))

series618.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

279.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
214.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
90.0ms	(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)))))
35.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4933	1723
1	4933	1723

prune100.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	70	12	82

Merged error: 0.1b

Counts

82 → 12

Compiler

Compiled 2703 to 494 computations (81.7% saved)

localize29.0ms (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 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.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)))))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_443`
8×	`*-un-lft-identity_binary64_421` `add-cube-cbrt_binary64_456` `pow1_binary64_482` `add-cbrt-cube_binary64_457` `add-exp-log_binary64_459`
6×	`add-log-exp_binary64_460` `associate-l_binary64_362` `associate-r_binary64_361`
3×	`distribute-lft-in_binary64_370` `distribute-rgt-in_binary64_371`
2×	`sub-neg_binary64_414` `associate-r/_binary64_363` `-commutative_binary64_352` `associate-+r+_binary64_353` `pow-prod-down_binary64_492` `unswap-sqr_binary64_389` `cancel-sign-sub-inv_binary64_387` `cbrt-unprod_binary64_454` `prod-exp_binary64_470`
1×	`flip3-+_binary64_424` `flip3--_binary64_425` `flip--_binary64_396` `sin-mult_binary64_576` `sum-log_binary64_512` `+-commutative_binary64_351` `flip-+_binary64_395`

Counts

4 → 63

Calls

4 calls:

9.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
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 (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) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

series881.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

439.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
266.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
103.0ms	(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) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
73.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4963	2107
1	4963	2107

prune103.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	75	12	87

Merged error: 0.1b

Counts

87 → 12

Compiler

Compiled 3442 to 540 computations (84.3% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 phi2))
0.3b	(cbrt.f64 (cos.f64 phi2))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
6.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_421` `add-cube-cbrt_binary64_456` `add-sqr-sqrt_binary64_443`
6×	`add-log-exp_binary64_460` `cbrt-prod_binary64_452`
4×	`cos-sum_binary64_555` `pow1_binary64_482` `add-cbrt-cube_binary64_457` `add-exp-log_binary64_459`
3×	`cos-diff_binary64_558` `cancel-sign-sub-inv_binary64_387`
2×	`pow1/3_binary64_503` `associate-+r+_binary64_353`
1×	`sub-neg_binary64_414` `flip3-+_binary64_424` `sum-log_binary64_512` `+-commutative_binary64_351` `distribute-lft-in_binary64_370` `distribute-rgt-in_binary64_371` `flip-+_binary64_395`

Counts

4 → 47

Calls

4 calls:

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

series482.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

221.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
118.0ms	(cbrt.f64 (cos.f64 phi2))
116.0ms	(cbrt.f64 (cos.f64 phi2))
26.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4917	780
1	4917	780

prune76.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	58	13	71

Merged error: 0.1b

Counts

71 → 13

Compiler

Compiled 2426 to 310 computations (87.2% saved)

regimes216.0ms (1.9%)

Compiler: Compiled 2650 to 1534 computations (42.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	56
1	57	56

end0.0ms (0%)

sample5.7s (49.9%)

Algorithm

1×

intervals

Results

3.4s	4450×	body	1024	valid
1.0s	1790×	body	512	valid
202.0ms	114×	body	2048	valid
196.0ms	727×	body	256	valid
124.0ms	919×	body	128	valid

Compiler

Compiled 494 to 287 computations (41.9% saved)

Details

analyze1.9s (16.6%)

sample165.0ms (1.5%)

simplify188.0ms (1.7%)

prune3.0ms (0%)

localize20.0ms (0.2%)

rewrite23.0ms (0.2%)

series357.0ms (3.1%)

simplify84.0ms (0.7%)

prune95.0ms (0.8%)

localize29.0ms (0.3%)

rewrite26.0ms (0.2%)

series618.0ms (5.4%)

simplify74.0ms (0.7%)

prune100.0ms (0.9%)

localize29.0ms (0.3%)

rewrite28.0ms (0.2%)

series881.0ms (7.8%)

simplify70.0ms (0.6%)

prune103.0ms (0.9%)

localize33.0ms (0.3%)

rewrite19.0ms (0.2%)

series482.0ms (4.2%)

simplify81.0ms (0.7%)

prune76.0ms (0.7%)

regimes216.0ms (1.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.7s (49.9%)

Profiling