Details

analyze2.5s (11.1%)

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)

sample158.0ms (0.7%)

Algorithm

1×

intervals

Results

102.0ms	143×	body	1024	valid
22.0ms	54×	body	512	valid
8.0ms	24×	body	256	valid
4.0ms	33×	body	128	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

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

0.6b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize31.0ms (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))))
3.4b	(cos.f64 (-.f64 lambda1 lambda2))
3.5b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite128.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

6×	`add-cube-cbrt_binary64_2500` `cancel-sign-sub-inv_binary64_2431` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465` `add-log-exp_binary64_2504`
4×	`sin-sum_binary64_2598` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `cos-sum_binary64_2599`
3×	`cos-diff_binary64_2602`
2×	`sub-neg_binary64_2458` `associate-+r+_binary64_2397`
1×	`sin-diff_binary64_2601` `sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `+-commutative_binary64_2395`

Counts

4 → 44

Calls

4 calls:

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

series712.0ms (3.1%)

Error

0.6b

Counts

4 → 53

Calls

4 calls:

420.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
109.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
75.0ms	(cos.f64 (-.f64 lambda1 lambda2))
55.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3307 to 1659 computations (49.8% saved)

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5063	1863

prune142.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	84	13	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	13	98

Error

0.4b

Counts

98 → 13

Compiler

Compiled 2822 to 635 computations (77.5% saved)

localize23.0ms (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) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.6b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
3.5b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite112.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_2487`
7×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`sin-sum_binary64_2598`
3×	`cancel-sign-sub-inv_binary64_2431` `associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`associate-+r+_binary64_2397`
1×	`sin-diff_binary64_2601` `sub-neg_binary64_2458` `sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `+-commutative_binary64_2395` `sin-mult_binary64_2620` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`

Counts

4 → 51

Calls

4 calls:

9.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
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) (sin.f64 (-.f64 lambda1 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 1946 to 351 computations (82% saved)

series1.3s (5.7%)

Error

0.3b

Counts

4 → 53

Calls

4 calls:

821.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
197.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
110.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
81.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4484 to 2241 computations (50% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4981	2629
1	4981	2629

prune172.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	108	9	117

Error

0.0b

Counts

117 → 9

Compiler

Compiled 3689 to 663 computations (82% saved)

localize23.0ms (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) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.6b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

rewrite114.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_2487`
8×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`add-log-exp_binary64_2504` `associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`associate-+r+_binary64_2397` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`
1×	`sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `+-commutative_binary64_2395` `sin-mult_binary64_2620`

Counts

4 → 57

Calls

4 calls:

5.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
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)))))
0.0ms	(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)

series1.4s (6.2%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

887.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
217.0ms	(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))))))
132.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
113.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5339 to 2352 computations (55.9% saved)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5056	2899

prune180.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	108	9	117

Error

0.0b

Counts

117 → 9

Compiler

Compiled 4559 to 716 computations (84.3% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
0.6b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
0.6b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
0.6b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))

rewrite181.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_2504`
6×	`associate-+r+_binary64_2397`
5×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
4×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3-+_binary64_2468` `flip-+_binary64_2439`
3×	`sum-log_binary64_2556` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `+-commutative_binary64_2395` `cbrt-prod_binary64_2496`
2×	`cbrt-div_binary64_2497`
1×	`pow1/3_binary64_2547`

Counts

4 → 52

Calls

4 calls:

7.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
4.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
4.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
3.0ms	(cbrt.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))

Compiler

Compiled 4687 to 313 computations (93.3% saved)

series5.1s (22.4%)

Error

0.0b

Counts

4 → 87

Calls

4 calls:

2.3s	(cbrt.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
890.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
863.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
819.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))

Compiler

Compiled 18864 to 5938 computations (68.5% saved)

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5851	5669

prune331.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	138	10	148

Error

0.0b

Counts

148 → 10

Compiler

Compiled 11535 to 1073 computations (90.7% saved)

regimes1.9s (8.1%)

Accuracy

Total 0.1b remaining (65.5%)

Threshold costs 0.1b (65.5%)

Compiler

Compiled 18949 to 10853 computations (42.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	57	56
1	57	56

end0.0ms (0%)

sample7.9s (34.3%)

Algorithm

1×

intervals

Results

3.4s	4464×	body	1024	valid
821.0ms	1729×	body	512	valid
220.0ms	122×	body	2048	valid
216.0ms	728×	body	256	valid
148.0ms	957×	body	128	valid

Compiler

Compiled 2754 to 1579 computations (42.7% saved)

Details

analyze2.5s (11.1%)

sample158.0ms (0.7%)

simplify42.0ms (0.2%)

prune6.0ms (0%)

localize31.0ms (0.1%)

rewrite128.0ms (0.6%)

series712.0ms (3.1%)

simplify87.0ms (0.4%)

prune142.0ms (0.6%)

localize23.0ms (0.1%)

rewrite112.0ms (0.5%)

series1.3s (5.7%)

simplify93.0ms (0.4%)

prune172.0ms (0.8%)

localize23.0ms (0.1%)

rewrite114.0ms (0.5%)

series1.4s (6.2%)

simplify102.0ms (0.4%)

prune180.0ms (0.8%)

localize45.0ms (0.2%)

rewrite181.0ms (0.8%)

series5.1s (22.4%)

simplify87.0ms (0.4%)

prune331.0ms (1.4%)

regimes1.9s (8.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample7.9s (34.3%)

Profiling