Details

analyze2.7s (17.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1713	273
1	1713	273
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
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample220.0ms (1.4%)

Algorithm

1×

intervals

Results

172.0ms	186×	body	1024	valid
18.0ms	33×	body	512	valid
10.0ms	6×	body	2048	valid
3.0ms	10×	body	256	valid
3.0ms	21×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

prune3.0ms (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

15.6b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.7b	(sin.f64 (-.f64 lambda1 lambda2))
3.7b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite35.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_2828` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
9×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
6×	`cancel-sign-sub-inv_binary64_2772` `associate-r_binary64_2746`
4×	`associate-l_binary64_2747` `sin-sum_binary64_2939` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `add-log-exp_binary64_2845` `cos-sum_binary64_2940` `pow-prod-down_binary64_2877`
3×	`cos-diff_binary64_2943`
2×	`*-commutative_binary64_2737` `sub-neg_binary64_2799` `sin-cos-mult_binary64_2962`
1×	`sin-diff_binary64_2942` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `associate-*l/_binary64_2749` `unswap-sqr_binary64_2774`

Counts

4 → 64

Calls

4 calls:

12.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
7.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

series220.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
70.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
18.0ms	(sin.f64 (-.f64 lambda1 lambda2))
17.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5363	1102

prune118.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	61	15	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	15	77

Error

8.6b

Counts

77 → 15

Compiler

Compiled 2634 to 565 computations (78.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.7b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
10×	`add-sqr-sqrt_binary64_2828`
8×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
6×	`add-log-exp_binary64_2845` `associate-r_binary64_2746`
4×	`associate-l_binary64_2747` `cancel-sign-sub-inv_binary64_2772` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `cos-sum_binary64_2940` `pow-prod-down_binary64_2877`
3×	`cos-diff_binary64_2943` `associate-*l/_binary64_2749`
2×	`*-commutative_binary64_2737` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781`
1×	`distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `diff-log_binary64_2898` `unswap-sqr_binary64_2774` `sin-cos-mult_binary64_2962`

Counts

4 → 65

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))

series341.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
107.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
88.0ms	(-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
18.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5115	1606

prune122.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	10	4	14
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Error

0.1b

Counts

92 → 10

Compiler

Compiled 3296 to 526 computations (84% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_2828` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
9×	`-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `associate-r*_binary64_2746`
7×	`associate-l_binary64_2747`
6×	`add-log-exp_binary64_2845`
5×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow-prod-down_binary64_2877`
4×	`sin-cos-mult_binary64_2962`
3×	`frac-times_binary64_2816` `-commutative_binary64_2737` `associate-r/_binary64_2748` `associate-*l/_binary64_2749` `sin-mult_binary64_2961`
2×	`flip3--_binary64_2810` `flip-+_binary64_2780` `flip--_binary64_2781` `frac-add_binary64_2814` `cos-mult_binary64_2960` `flip3-+_binary64_2809` `unswap-sqr_binary64_2774`
1×	`cancel-sign-sub-inv_binary64_2772` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `diff-log_binary64_2898` `sub-neg_binary64_2799`

Counts

4 → 78

Calls

4 calls:

14.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
4.0ms	(-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))

series474.0ms (3%)

Counts

4 → 12

Calls

4 calls:

208.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
144.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
82.0ms	(-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
40.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4999	2247
1	4999	2247

prune168.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	87	13	100

Error

0.1b

Counts

100 → 13

Compiler

Compiled 4764 to 759 computations (84.1% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
0.5b	(cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.5b	(cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.5b	(cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite54.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`cbrt-div_binary64_2838`
25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
15×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
11×	`flip-+_binary64_2780` `frac-add_binary64_2814` `cos-mult_binary64_2960` `flip3-+_binary64_2809` `pow1_binary64_2867` `sin-mult_binary64_2961`
9×	`frac-times_binary64_2816` `pow1/3_binary64_2888`
6×	`associate-l_binary64_2747` `add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-r_binary64_2746`
4×	`add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845` `unswap-sqr_binary64_2774`
3×	`associate-r/_binary64_2748` `associate-l/_binary64_2749`
2×	`pow-sqr_binary64_2779` `pow-prod-up_binary64_2876` `pow-prod-down_binary64_2877`
1×	`*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow2_binary64_2887` `pow-plus_binary64_2869`

Counts

4 → 97

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
5.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

series736.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

223.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
177.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
171.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
166.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4923	3857
1	4923	3857

prune188.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	108	14	122

Error

0.1b

Counts

122 → 14

Compiler

Compiled 7970 to 807 computations (89.9% saved)

regimes1.3s (8.4%)

Accuracy

Total 0.2b remaining (81.2%)

Threshold costs 0.2b (81.2%)

Compiler

Compiled 16075 to 9353 computations (41.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	122	90
1	122	90

end0.0ms (0%)

sample8.4s (54%)

Algorithm

1×

intervals

Results

4.9s	5394×	body	1024	valid
641.0ms	1174×	body	512	valid
375.0ms	194×	body	2048	valid
146.0ms	426×	body	256	valid
139.0ms	812×	body	128	valid

Compiler

Compiled 2635 to 1523 computations (42.2% saved)

Details

analyze2.7s (17.3%)

sample220.0ms (1.4%)

simplify21.0ms (0.1%)

prune3.0ms (0%)

localize20.0ms (0.1%)

rewrite35.0ms (0.2%)

series220.0ms (1.4%)

simplify77.0ms (0.5%)

prune118.0ms (0.8%)

localize28.0ms (0.2%)

rewrite30.0ms (0.2%)

series341.0ms (2.2%)

simplify47.0ms (0.3%)

prune122.0ms (0.8%)

localize28.0ms (0.2%)

rewrite41.0ms (0.3%)

series474.0ms (3%)

simplify65.0ms (0.4%)

prune168.0ms (1.1%)

localize37.0ms (0.2%)

rewrite54.0ms (0.3%)

series736.0ms (4.7%)

simplify97.0ms (0.6%)

prune188.0ms (1.2%)

regimes1.3s (8.4%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.4s (54%)

Profiling