Details

analyze3.5s (14.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1273	224
1	1273	224
0	4	4
1	4	4

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)

sample159.0ms (0.7%)

Algorithm

1×

intervals

Results

99.0ms	142×	body	1024	valid
29.0ms	61×	body	512	valid
6.0ms	24×	body	256	valid
4.0ms	27×	body	128	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	271	32
1	271	32

prune6.0ms (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

Error

1.6b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize28.0ms (0.1%)

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)))))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))
3.5b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite130.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

6×	`add-cube-cbrt_binary64_795` `cancel-sign-sub-inv_binary64_726` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760` `add-log-exp_binary64_799`
4×	`sin-sum_binary64_893` `pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cos-sum_binary64_894`
3×	`cos-diff_binary64_897`
2×	`sub-neg_binary64_753` `associate-+r+_binary64_692`
1×	`sin-diff_binary64_896` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `+-commutative_binary64_690`

Counts

4 → 44

Calls

4 calls:

10.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
9.0ms	(cos.f64 (-.f64 lambda1 lambda2))
7.0ms	(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)))))

Compiler

Compiled 1356 to 285 computations (79% saved)

series971.0ms (4%)

Error

1.5b

Counts

4 → 58

Calls

4 calls:

519.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
190.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
86.0ms	(sin.f64 (-.f64 lambda1 lambda2))
82.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3581 to 1767 computations (50.7% saved)

simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4984	2089
1	4984	2089

prune206.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	88	14	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	14	103

Error

1.3b

Counts

103 → 14

Compiler

Compiled 2992 to 709 computations (76.3% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
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)))))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite129.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-sqr-sqrt_binary64_782`
7×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
6×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`cos-sum_binary64_894`
3×	`cos-diff_binary64_897` `cancel-sign-sub-inv_binary64_726` `associate-l_binary64_701` `associate-r_binary64_700`
2×	`associate-+r+_binary64_692`
1×	`sub-neg_binary64_753` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `+-commutative_binary64_690` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`

Counts

4 → 50

Calls

4 calls:

9.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
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)))))

Compiler

Compiled 1857 to 334 computations (82% saved)

series1.0s (4.2%)

Error

0.8b

Counts

4 → 55

Calls

4 calls:

493.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
162.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
161.0ms	(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)))))
101.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4412 to 2202 computations (50.1% saved)

simplify143.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5027	2268

prune186.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	109	10	119

Error

0.1b

Counts

119 → 10

Compiler

Compiled 3666 to 694 computations (81.1% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite115.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`add-sqr-sqrt_binary64_782`
8×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
6×	`add-log-exp_binary64_799` `associate-l_binary64_701` `associate-r_binary64_700`
2×	`associate-+r+_binary64_692` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`
1×	`sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `+-commutative_binary64_690` `sin-mult_binary64_915`

Counts

4 → 57

Calls

4 calls:

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

Compiler

Compiled 2538 to 380 computations (85% saved)

series1.8s (7.2%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

1.1s	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
282.0ms	(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 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
148.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
125.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5562 to 2438 computations (56.2% saved)

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5059	3067

prune255.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	109	12	121

Error

0.1b

Counts

121 → 12

Compiler

Compiled 4753 to 835 computations (82.4% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
0.6b	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))
3.5b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite131.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

8×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`cancel-sign-sub-inv_binary64_726` `add-log-exp_binary64_799`
5×	`pow1_binary64_821`
4×	`sin-sum_binary64_893` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cos-sum_binary64_894` `log-pow_binary64_849` `log-prod_binary64_846`
3×	`exp-prod_binary64_812`
2×	`sub-neg_binary64_753`
1×	`sin-diff_binary64_896` `cos-diff_binary64_897` `exp-sum_binary64_806` `rem-log-exp_binary64_801` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

4 → 51

Calls

4 calls:

12.0ms	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
10.0ms	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
9.0ms	(sin.f64 (-.f64 lambda1 lambda2))
8.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1636 to 365 computations (77.7% saved)

series1.9s (7.8%)

Error

0.1b

Counts

4 → 69

Calls

4 calls:

1.1s	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
457.0ms	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
90.0ms	(sin.f64 (-.f64 lambda1 lambda2))
83.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4763 to 2439 computations (48.8% saved)

simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5046	2399

prune212.0ms (0.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	119	13	132

Error

0.1b

Counts

132 → 13

Compiler

Compiled 3323 to 689 computations (79.3% saved)

regimes1.9s (8%)

Accuracy

Total 0.1b remaining (66.3%)

Threshold costs 0.1b (66.3%)

Compiler

Compiled 19593 to 12309 computations (37.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	57	56
1	57	56

end0.0ms (0%)

sample11.0s (45.4%)

Algorithm

1×

intervals

Results

5.0s	4506×	body	1024	valid
1.1s	1712×	body	512	valid
292.0ms	702×	body	256	valid
227.0ms	111×	body	2048	valid
183.0ms	969×	body	128	valid

Compiler

Compiled 2846 to 1787 computations (37.2% saved)

Details

analyze3.5s (14.6%)

sample159.0ms (0.7%)

simplify44.0ms (0.2%)

prune6.0ms (0%)

localize28.0ms (0.1%)

rewrite130.0ms (0.5%)

series971.0ms (4%)

simplify107.0ms (0.4%)

prune206.0ms (0.8%)

localize35.0ms (0.1%)

rewrite129.0ms (0.5%)

series1.0s (4.2%)

simplify143.0ms (0.6%)

prune186.0ms (0.8%)

localize25.0ms (0.1%)

rewrite115.0ms (0.5%)

series1.8s (7.2%)

simplify94.0ms (0.4%)

prune255.0ms (1.1%)

localize37.0ms (0.2%)

rewrite131.0ms (0.5%)

series1.9s (7.8%)

simplify101.0ms (0.4%)

prune212.0ms (0.9%)

regimes1.9s (8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample11.0s (45.4%)

Profiling