Details

analyze2.7s (13.6%)

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)

sample211.0ms (1%)

Algorithm

1×

intervals

Results

148.0ms	166×	body	1024	valid
29.0ms	46×	body	512	valid
8.0ms	3×	body	2048	valid
4.0ms	29×	body	128	valid
4.0ms	12×	body	256	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify22.0ms (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

11.6b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize19.0ms (0.1%)

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)))
4.0b	(cos.f64 (-.f64 lambda1 lambda2))
4.0b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite114.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

11×	`add-sqr-sqrt_binary64_3169` `pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
6×	`cancel-sign-sub-inv_binary64_3113` `associate-r_binary64_3087`
4×	`sin-sum_binary64_3280` `add-log-exp_binary64_3186` `cos-sum_binary64_3281` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-l_binary64_3088`
3×	`cos-diff_binary64_3284`
2×	`sub-neg_binary64_3140` `*-commutative_binary64_3078`
1×	`sin-diff_binary64_3283` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `sin-cos-mult_binary64_3303` `associate-*l/_binary64_3090` `unswap-sqr_binary64_3115`

Counts

4 → 63

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

Compiler

Compiled 2012 to 363 computations (82% saved)

series688.0ms (3.4%)

Error

7.8b

Counts

4 → 55

Calls

4 calls:

385.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
120.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
57.0ms	(sin.f64 (-.f64 lambda1 lambda2))
57.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4115 to 1962 computations (52.3% saved)

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4972	1863
1	4972	1863

prune167.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	100	18	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	18	119

Error

5.3b

Counts

119 → 18

Compiler

Compiled 3973 to 907 computations (77.2% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
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 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite133.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_3169`
13×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
10×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
9×	`associate-r_binary64_3087`
7×	`associate-l_binary64_3088`
5×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`cos-sum_binary64_3281` `add-log-exp_binary64_3186`
3×	`cos-diff_binary64_3284` `cancel-sign-sub-inv_binary64_3113` `associate-l/_binary64_3090` `-commutative_binary64_3078`
2×	`unswap-sqr_binary64_3115`
1×	`sub-neg_binary64_3140` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `sin-cos-mult_binary64_3303` `flip3--_binary64_3151` `flip--_binary64_3122`

Counts

4 → 71

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

Compiler

Compiled 2860 to 385 computations (86.5% saved)

series1.0s (5.2%)

Error

5.0b

Counts

4 → 57

Calls

4 calls:

408.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
369.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
127.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
65.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5377 to 2610 computations (51.5% saved)

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4962	2517
1	4962	2517

prune178.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	122	6	128
Fresh	13	4	17
Picked	1	0	1
Done	0	0	0
Total	136	10	146

Error

0.0b

Counts

146 → 10

Compiler

Compiled 5090 to 817 computations (83.9% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite164.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
16×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
13×	`add-sqr-sqrt_binary64_3169`
10×	`associate-l_binary64_3088`
9×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
8×	`associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `*-commutative_binary64_3078`
2×	`sin-mult_binary64_3302` `unswap-sqr_binary64_3115` `associate-*l/_binary64_3090`
1×	`associate-*r/_binary64_3089` `flip3--_binary64_3151` `flip--_binary64_3122`

Counts

4 → 83

Calls

4 calls:

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

Compiler

Compiled 4416 to 490 computations (88.9% saved)

series1.6s (7.8%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

509.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
473.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
390.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
106.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 8128 to 3301 computations (59.4% saved)

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5107	3470

prune212.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	145	11	156

Error

0.0b

Counts

156 → 11

Compiler

Compiled 7840 to 1077 computations (86.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda1)))
0.6b	(cbrt.f64 (sin.f64 lambda1))
0.6b	(cbrt.f64 (sin.f64 lambda1))
0.6b	(cbrt.f64 (sin.f64 lambda1))

rewrite122.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
15×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `unswap-sqr_binary64_3115`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda1)))
2.0ms	(cbrt.f64 (sin.f64 lambda1))
2.0ms	(cbrt.f64 (sin.f64 lambda1))
1.0ms	(cbrt.f64 (sin.f64 lambda1))

Compiler

Compiled 4285 to 545 computations (87.3% saved)

series364.0ms (1.8%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

102.0ms	(*.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda1)))
84.0ms	(cbrt.f64 (sin.f64 lambda1))
77.0ms	(cbrt.f64 (sin.f64 lambda1))
75.0ms	(cbrt.f64 (sin.f64 lambda1))

Compiler

Compiled 2462 to 1114 computations (54.8% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4890	770
1	4890	770

prune345.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	89	11	100

Error

0.0b

Counts

100 → 11

Compiler

Compiled 4936 to 638 computations (87.1% saved)

regimes1.8s (9.1%)

Accuracy

Total 0.1b remaining (79%)

Threshold costs 0.1b (79%)

Compiler

Compiled 27417 to 16643 computations (39.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	169	85
1	169	85

end0.0ms (0%)

sample9.8s (48.7%)

Algorithm

1×

intervals

Results

4.7s	5338×	body	1024	valid
731.0ms	1305×	body	512	valid
361.0ms	177×	body	2048	valid
137.0ms	394×	body	256	valid
136.0ms	786×	body	128	valid

Compiler

Compiled 4470 to 2705 computations (39.5% saved)

Details

analyze2.7s (13.6%)

sample211.0ms (1%)

simplify22.0ms (0.1%)

prune3.0ms (0%)

localize19.0ms (0.1%)

rewrite114.0ms (0.6%)

series688.0ms (3.4%)

simplify84.0ms (0.4%)

prune167.0ms (0.8%)

localize30.0ms (0.1%)

rewrite133.0ms (0.7%)

series1.0s (5.2%)

simplify93.0ms (0.5%)

prune178.0ms (0.9%)

localize30.0ms (0.1%)

rewrite164.0ms (0.8%)

series1.6s (7.8%)

simplify65.0ms (0.3%)

prune212.0ms (1.1%)

localize33.0ms (0.2%)

rewrite122.0ms (0.6%)

series364.0ms (1.8%)

simplify59.0ms (0.3%)

prune345.0ms (1.7%)

regimes1.8s (9.1%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample9.8s (48.7%)

Profiling