Details

analyze2.6s (18.1%)

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
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)

sample228.0ms (1.6%)

Algorithm

1×

intervals

Results

167.0ms	180×	body	1024	valid
26.0ms	37×	body	512	valid
10.0ms	5×	body	2048	valid
6.0ms	16×	body	256	valid
3.0ms	18×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

prune4.0ms (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

Merged error: 13.2b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.6b	(cos.f64 (-.f64 lambda1 lambda2))
3.8b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
9×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
6×	`cancel-sign-sub-inv_binary64_2431` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `cos-sum_binary64_2599` `prod-exp_binary64_2514` `sin-sum_binary64_2598` `pow-prod-down_binary64_2536` `associate-l_binary64_2406` `cbrt-unprod_binary64_2498`
3×	`cos-diff_binary64_2602`
2×	`*-commutative_binary64_2396` `sub-neg_binary64_2458`
1×	`associate-*l/_binary64_2408` `sin-diff_binary64_2601` `distribute-lft-in_binary64_2414` `unswap-sqr_binary64_2433` `sin-cos-mult_binary64_2621` `distribute-rgt-in_binary64_2415`

Counts

4 → 63

Calls

4 calls:

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

series193.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
39.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
19.0ms	(sin.f64 (-.f64 lambda1 lambda2))
16.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4860	1037
1	4860	1037

prune111.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	11	76

Merged error: 6.5b

Counts

76 → 11

Compiler

Compiled 2493 to 519 computations (79.2% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.6b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2487`
13×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
10×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
9×	`associate-r_binary64_2405`
7×	`associate-l_binary64_2406`
5×	`prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `cos-sum_binary64_2599`
3×	`*-commutative_binary64_2396` `cancel-sign-sub-inv_binary64_2431` `cos-diff_binary64_2602`
2×	`unswap-sqr_binary64_2433` `sin-cos-mult_binary64_2621`
1×	`associate-*l/_binary64_2408` `distribute-lft-in_binary64_2414` `sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415`

Counts

4 → 70

Calls

4 calls:

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

series211.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
39.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
38.0ms	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
17.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4886	1103
1	4886	1103

prune106.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.1b

Counts

93 → 8

Compiler

Compiled 3175 to 518 computations (83.7% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite40.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_2487`
15×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
12×	`associate-r_binary64_2405`
11×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
10×	`associate-l_binary64_2406`
6×	`prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
5×	`sin-cos-mult_binary64_2621`
4×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`
3×	`sin-mult_binary64_2620` `frac-times_binary64_2475` `associate-*r/_binary64_2407` `unswap-sqr_binary64_2433`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `cos-mult_binary64_2619` `frac-add_binary64_2473`
1×	`associate-*l/_binary64_2408` `distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415`

Counts

4 → 83

Calls

4 calls:

12.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

series339.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

215.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
45.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
39.0ms	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
39.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4977	1744
1	4977	1744

prune164.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	92	11	103

Merged error: 0.0b

Counts

103 → 11

Compiler

Compiled 4650 to 741 computations (84.1% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 lambda2)) (cbrt.f64 (sin.f64 lambda2)))
0.7b	(cbrt.f64 (sin.f64 lambda2))
0.7b	(cbrt.f64 (sin.f64 lambda2))
0.7b	(cbrt.f64 (sin.f64 lambda2))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`swap-sqr_binary64_2432` `add-exp-log_binary64_2503` `associate-r_binary64_2405` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `add-cbrt-cube_binary64_2501`
2×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 lambda2)) (cbrt.f64 (sin.f64 lambda2)))
2.0ms	(cbrt.f64 (sin.f64 lambda2))
2.0ms	(cbrt.f64 (sin.f64 lambda2))
2.0ms	(cbrt.f64 (sin.f64 lambda2))

series323.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 (sin.f64 lambda2)) (cbrt.f64 (sin.f64 lambda2)))
81.0ms	(cbrt.f64 (sin.f64 lambda2))
80.0ms	(cbrt.f64 (sin.f64 lambda2))
71.0ms	(cbrt.f64 (sin.f64 lambda2))

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4877	797
1	4877	797

prune122.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

Compiler

Compiled 4247 to 686 computations (83.8% saved)

regimes914.0ms (6.4%)

Compiler: Compiled 12784 to 7674 computations (40% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	136	63
1	136	63

end0.0ms (0%)

sample8.2s (57.8%)

Algorithm

1×

intervals

Results

4.9s	5332×	body	1024	valid
757.0ms	1291×	body	512	valid
370.0ms	182×	body	2048	valid
152.0ms	415×	body	256	valid
140.0ms	780×	body	128	valid

Compiler

Compiled 2083 to 1247 computations (40.1% saved)

Details

analyze2.6s (18.1%)

sample228.0ms (1.6%)

simplify110.0ms (0.8%)

prune4.0ms (0%)

localize28.0ms (0.2%)

rewrite28.0ms (0.2%)

series193.0ms (1.4%)

simplify101.0ms (0.7%)

prune111.0ms (0.8%)

localize29.0ms (0.2%)

rewrite30.0ms (0.2%)

series211.0ms (1.5%)

simplify89.0ms (0.6%)

prune106.0ms (0.7%)

localize30.0ms (0.2%)

rewrite40.0ms (0.3%)

series339.0ms (2.4%)

simplify78.0ms (0.6%)

prune164.0ms (1.1%)

localize34.0ms (0.2%)

rewrite25.0ms (0.2%)

series323.0ms (2.3%)

simplify84.0ms (0.6%)

prune122.0ms (0.9%)

regimes914.0ms (6.4%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.2s (57.8%)

Profiling