Details

analyze2.5s (13.2%)

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
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 (1.1%)

Algorithm

1×

intervals

Results

153.0ms	172×	body	1024	valid
22.0ms	41×	body	512	valid
11.0ms	5×	body	2048	valid
6.0ms	18×	body	256	valid
3.0ms	20×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify120.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

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

Error

13.8b

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 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.9b	(sin.f64 (-.f64 lambda1 lambda2))
4.1b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite112.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.4b

Rules

11×	`add-sqr-sqrt_binary64_3851` `pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
9×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
6×	`cancel-sign-sub-inv_binary64_3795` `associate-r_binary64_3769`
4×	`cos-sum_binary64_3963` `add-log-exp_binary64_3868` `sin-sum_binary64_3962` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `associate-l_binary64_3770`
3×	`cos-diff_binary64_3966`
2×	`sub-neg_binary64_3822` `sin-cos-mult_binary64_3985` `*-commutative_binary64_3760`
1×	`sin-diff_binary64_3965` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `associate-*l/_binary64_3772` `unswap-sqr_binary64_3797`

Counts

4 → 64

Calls

4 calls:

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

Compiler

Compiled 2066 to 344 computations (83.3% saved)

series766.0ms (4.1%)

Error

10.0b

Counts

4 → 62

Calls

4 calls:

379.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
199.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
55.0ms	(sin.f64 (-.f64 lambda1 lambda2))
52.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4651 to 2159 computations (53.6% saved)

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5024	2169

prune177.0ms (1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	111	15	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	15	127

Error

6.4b

Counts

127 → 15

Compiler

Compiled 4142 to 839 computations (79.7% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (cos.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)))
4.1b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite125.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_3851`
13×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
10×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
9×	`associate-r_binary64_3769`
7×	`associate-l_binary64_3770`
5×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
4×	`cos-sum_binary64_3963` `add-log-exp_binary64_3868`
3×	`cos-diff_binary64_3966` `cancel-sign-sub-inv_binary64_3795` `associate-l/_binary64_3772` `-commutative_binary64_3760`
2×	`sin-cos-mult_binary64_3985` `unswap-sqr_binary64_3797`
1×	`sub-neg_binary64_3822` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `flip3--_binary64_3833` `flip--_binary64_3804`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.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	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2897 to 394 computations (86.4% saved)

series1.0s (5.4%)

Error

6.2b

Counts

4 → 54

Calls

4 calls:

406.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
381.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
98.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
61.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5114 to 2489 computations (51.3% saved)

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4983	2450
1	4983	2450

prune167.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	11	3	14
Picked	1	0	1
Done	0	0	0
Total	134	7	141

Error

0.1b

Counts

141 → 7

Compiler

Compiled 4861 to 718 computations (85.2% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite147.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
16×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
13×	`add-sqr-sqrt_binary64_3851`
10×	`associate-l_binary64_3770`
9×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
8×	`associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `*-commutative_binary64_3760`
2×	`sin-mult_binary64_3984` `unswap-sqr_binary64_3797`
1×	`associate-*r/_binary64_3771`

Counts

4 → 81

Calls

4 calls:

9.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
9.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 4165 to 516 computations (87.6% saved)

series1.3s (6.8%)

Error

0.1b

Counts

4 → 56

Calls

4 calls:

493.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
487.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
112.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
101.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 7246 to 2991 computations (58.7% saved)

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5116	2453

prune199.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	136	8	144

Error

0.0b

Counts

144 → 8

Compiler

Compiled 6964 to 964 computations (86.2% 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))

rewrite133.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-l_binary64_3770` `associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `unswap-sqr_binary64_3797`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`

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))
1.0ms	(cbrt.f64 (sin.f64 lambda1))
1.0ms	(cbrt.f64 (sin.f64 lambda1))

Compiler

Compiled 4285 to 545 computations (87.3% saved)

series367.0ms (2%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

105.0ms	(*.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda1)))
79.0ms	(cbrt.f64 (sin.f64 lambda1))
79.0ms	(cbrt.f64 (sin.f64 lambda1))
76.0ms	(cbrt.f64 (sin.f64 lambda1))

Compiler

Compiled 2462 to 1114 computations (54.8% saved)

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4890	770
1	4890	770

prune135.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	89	8	97

Error

0.0b

Counts

97 → 8

Compiler

Compiled 4936 to 638 computations (87.1% saved)

regimes1.7s (9.2%)

Accuracy

Total 0.1b remaining (67.9%)

Threshold costs 0.1b (67.9%)

Compiler

Compiled 21455 to 13667 computations (36.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	170	89
1	170	89

end0.0ms (0%)

sample9.1s (48.9%)

Algorithm

1×

intervals

Results

4.7s	5324×	body	1024	valid
719.0ms	1334×	body	512	valid
340.0ms	175×	body	2048	valid
136.0ms	769×	body	128	valid
131.0ms	398×	body	256	valid

Compiler

Compiled 3520 to 2235 computations (36.5% saved)

Details

analyze2.5s (13.2%)

sample211.0ms (1.1%)

simplify120.0ms (0.6%)

prune4.0ms (0%)

localize19.0ms (0.1%)

rewrite112.0ms (0.6%)

series766.0ms (4.1%)

simplify67.0ms (0.4%)

prune177.0ms (1%)

localize26.0ms (0.1%)

rewrite125.0ms (0.7%)

series1.0s (5.4%)

simplify70.0ms (0.4%)

prune167.0ms (0.9%)

localize29.0ms (0.2%)

rewrite147.0ms (0.8%)

series1.3s (6.8%)

simplify72.0ms (0.4%)

prune199.0ms (1.1%)

localize33.0ms (0.2%)

rewrite133.0ms (0.7%)

series367.0ms (2%)

simplify63.0ms (0.3%)

prune135.0ms (0.7%)

regimes1.7s (9.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample9.1s (48.9%)

Profiling