Details

analyze1.9s (12.2%)

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)

sample147.0ms (0.9%)

Algorithm

1×

intervals

Results

94.0ms	142×	body	1024	valid
23.0ms	61×	body	512	valid
5.0ms	4×	body	2048	valid
4.0ms	17×	body	256	valid
4.0ms	32×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	271	32
1	271	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

Error

0.9b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize16.0ms (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))))
2.8b	(cos.f64 (-.f64 lambda1 lambda2))
2.9b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite94.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

6×	`add-cube-cbrt_binary64_2841` `cancel-sign-sub-inv_binary64_2772` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-log-exp_binary64_2845`
4×	`sin-sum_binary64_2939` `pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `cos-sum_binary64_2940`
3×	`cos-diff_binary64_2943`
2×	`sub-neg_binary64_2799` `associate-+r+_binary64_2738`
1×	`sin-diff_binary64_2942` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `+-commutative_binary64_2736`

Counts

4 → 44

Calls

4 calls:

9.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.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) (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)

series584.0ms (3.7%)

Error

0.8b

Counts

4 → 52

Calls

4 calls:

324.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
105.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
56.0ms	(cos.f64 (-.f64 lambda1 lambda2))
47.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3252 to 1618 computations (50.2% saved)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5014	1831

prune133.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	83	13	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	13	97

Error

0.7b

Counts

97 → 13

Compiler

Compiled 2735 to 617 computations (77.4% saved)

localize24.0ms (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) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.5b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
2.9b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite84.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-sqr-sqrt_binary64_2828`
7×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
4×	`sin-sum_binary64_2939`
3×	`cancel-sign-sub-inv_binary64_2772` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate-+r+_binary64_2738`
1×	`sin-diff_binary64_2942` `sub-neg_binary64_2799` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `+-commutative_binary64_2736` `sin-mult_binary64_2961` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

4 → 51

Calls

4 calls:

5.0ms	(*.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)

series1.0s (6.7%)

Error

0.5b

Counts

4 → 52

Calls

4 calls:

682.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
153.0ms	(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))))))
94.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
59.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4445 to 2211 computations (50.3% saved)

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5110	2624

prune124.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	106	10	116

Error

0.1b

Counts

116 → 10

Compiler

Compiled 3645 to 673 computations (81.5% saved)

localize26.0ms (0.2%)

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

rewrite99.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`add-sqr-sqrt_binary64_2828`
8×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
6×	`add-log-exp_binary64_2845` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate-+r+_binary64_2738` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`
1×	`sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `+-commutative_binary64_2736` `sin-mult_binary64_2961`

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)))))
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)

series1.1s (7%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

678.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
164.0ms	(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))))))
101.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
100.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5207 to 2291 computations (56% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5080	2826

prune137.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	105	11	116

Error

0.1b

Counts

116 → 11

Compiler

Compiled 4451 to 716 computations (83.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 3))
0.7b	(pow.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 3)
2.8b	(cos.f64 (-.f64 lambda1 lambda2))
2.9b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite128.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `cbrt-prod_binary64_2837`
6×	`cancel-sign-sub-inv_binary64_2772` `unpow-prod-down_binary64_2885` `cube-prod_binary64_2834`
5×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
4×	`sin-sum_binary64_2939` `add-log-exp_binary64_2845` `cos-sum_binary64_2940` `cube-div_binary64_2835`
3×	`pow-unpow_binary64_2883`
2×	`sub-neg_binary64_2799` `unpow3_binary64_2872` `cube-mult_binary64_2836` `flip3-+_binary64_2809` `flip-+_binary64_2780` `sqr-pow_binary64_2778` `cbrt-div_binary64_2838`
1×	`sin-diff_binary64_2942` `cos-diff_binary64_2943` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `rem-cube-cbrt_binary64_2829` `pow1/3_binary64_2888` `rem-cbrt-cube_binary64_2830`

Counts

4 → 72

Calls

4 calls:

8.0ms	(pow.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 3))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2556 to 688 computations (73.1% saved)

series1.6s (10.1%)

Error

0.1b

Counts

4 → 60

Calls

4 calls:

1.0s	(pow.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 3)
334.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)) 3))
60.0ms	(cos.f64 (-.f64 lambda1 lambda2))
50.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 6619 to 3679 computations (44.4% saved)

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4982	4302
1	4982	4302

prune185.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	130	13	143

Error

0.1b

Counts

143 → 13

Compiler

Compiled 4694 to 1449 computations (69.1% saved)

regimes1.2s (7.8%)

Accuracy

Total 0.1b remaining (61.6%)

Threshold costs 0.1b (61.6%)

Compiler

Compiled 15743 to 10335 computations (34.4% 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%)

sample6.5s (41.9%)

Algorithm

1×

intervals

Results

3.0s	4459×	body	1024	valid
708.0ms	1756×	body	512	valid
191.0ms	694×	body	256	valid
168.0ms	123×	body	2048	valid
117.0ms	968×	body	128	valid

Compiler

Compiled 2296 to 1505 computations (34.5% saved)

Details

analyze1.9s (12.2%)

sample147.0ms (0.9%)

simplify117.0ms (0.7%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite94.0ms (0.6%)

series584.0ms (3.7%)

simplify76.0ms (0.5%)

prune133.0ms (0.9%)

localize24.0ms (0.2%)

rewrite84.0ms (0.5%)

series1.0s (6.7%)

simplify69.0ms (0.4%)

prune124.0ms (0.8%)

localize26.0ms (0.2%)

rewrite99.0ms (0.6%)

series1.1s (7%)

simplify72.0ms (0.5%)

prune137.0ms (0.9%)

localize19.0ms (0.1%)

rewrite128.0ms (0.8%)

series1.6s (10.1%)

simplify101.0ms (0.6%)

prune185.0ms (1.2%)

regimes1.2s (7.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.5s (41.9%)

Profiling