Details

analyze2.5s (14.7%)

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 (1.2%)

Algorithm

1×

intervals

Results

158.0ms	177×	body	1024	valid
19.0ms	36×	body	512	valid
11.0ms	6×	body	2048	valid
5.0ms	16×	body	256	valid
3.0ms	21×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

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

11.4b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize21.0ms (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)))
2.5b	(cos.f64 (-.f64 lambda1 lambda2))
2.7b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `add-sqr-sqrt_binary64_5556` `pow1_binary64_5595`
9×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
6×	`cancel-sign-sub-inv_binary64_5500` `associate-r_binary64_5474`
4×	`cbrt-unprod_binary64_5567` `sin-sum_binary64_5667` `associate-l_binary64_5475` `add-log-exp_binary64_5573` `cos-sum_binary64_5668` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
3×	`cos-diff_binary64_5671`
2×	`*-commutative_binary64_5465` `sub-neg_binary64_5527`
1×	`associate-*l/_binary64_5477` `sin-diff_binary64_5670` `distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483` `unswap-sqr_binary64_5502` `sin-cos-mult_binary64_5690`

Counts

4 → 63

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

series655.0ms (3.9%)

Counts

4 → 55

Calls

4 calls:

432.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
109.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
59.0ms	(cos.f64 (-.f64 lambda1 lambda2))
55.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2420 to 1645 computations (32% saved)

simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4953	1893
1	4953	1893

prune159.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	102	16	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	16	119

Error

6.0b

Counts

119 → 16

Compiler

Compiled 3904 to 835 computations (78.6% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_5556`
13×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `pow1_binary64_5595`
10×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
9×	`associate-r_binary64_5474`
7×	`associate-l_binary64_5475`
5×	`cbrt-unprod_binary64_5567` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
4×	`add-log-exp_binary64_5573` `cos-sum_binary64_5668`
3×	`cancel-sign-sub-inv_binary64_5500` `*-commutative_binary64_5465` `cos-diff_binary64_5671`
2×	`unswap-sqr_binary64_5502` `sin-cos-mult_binary64_5690`
1×	`associate-*l/_binary64_5477` `distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483` `sub-neg_binary64_5527`

Counts

4 → 70

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
5.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

series701.0ms (4.1%)

Counts

4 → 54

Calls

4 calls:

409.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
119.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
111.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
62.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2919 to 2055 computations (29.6% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4999	1946
1	4999	1946

prune166.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	9	6	15
Picked	1	0	1
Done	0	0	0
Total	129	11	140

Error

0.1b

Counts

140 → 11

Compiler

Compiled 4821 to 847 computations (82.4% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
0.3b	(.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))

rewrite41.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `pow1_binary64_5595`
18×	`cbrt-unprod_binary64_5567` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
12×	`add-sqr-sqrt_binary64_5556`
8×	`associate-l_binary64_5475` `-un-lft-identity_binary64_5534` `associate-r*_binary64_5474` `add-cube-cbrt_binary64_5569`
4×	`*-commutative_binary64_5465` `add-log-exp_binary64_5573` `sin-cos-mult_binary64_5690`
3×	`sin-mult_binary64_5689`
2×	`associate-l/_binary64_5477` `associate-r/_binary64_5476` `frac-times_binary64_5544` `unswap-sqr_binary64_5502` `cos-mult_binary64_5688`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
9.0ms	(.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

series1.3s (7.9%)

Counts

4 → 60

Calls

4 calls:

594.0ms	(.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
514.0ms	(.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2)))
124.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
103.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 4668 to 2693 computations (42.3% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5218	2935

prune224.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	140	7	147
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	147	11	158

Error

0.0b

Counts

158 → 11

Compiler

Compiled 7754 to 1091 computations (85.9% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
7.2b	(cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
7.2b	(cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
7.2b	(cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_5595`
10×	`add-sqr-sqrt_binary64_5556`
9×	`pow1/3_binary64_5616`
8×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
7×	`sin-mult_binary64_5689` `cbrt-prod_binary64_5565` `cbrt-div_binary64_5566`
6×	`add-exp-log_binary64_5572`
4×	`associate-l_binary64_5475` `swap-sqr_binary64_5501` `add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `associate-r_binary64_5474`
2×	`pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605`
1×	`associate-l/_binary64_5477` `associate-r/_binary64_5476` `cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `*-commutative_binary64_5465` `pow2_binary64_5615` `frac-times_binary64_5544` `unswap-sqr_binary64_5502` `prod-exp_binary64_5583`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
3.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
3.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
3.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))

series1.1s (6.8%)

Counts

4 → 32

Calls

4 calls:

372.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
265.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
259.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
252.0ms	(cbrt.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))

Compiler

Compiled 3774 to 2102 computations (44.3% saved)

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5343	1173

prune141.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	96	11	107

Error

0.0b

Counts

107 → 11

Compiler

Compiled 5771 to 655 computations (88.7% saved)

regimes850.0ms (5%)

Accuracy

Total 0.1b remaining (69.1%)

Threshold costs 0.1b (69.1%)

Compiler

Compiled 11683 to 7278 computations (37.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	160	99
1	160	99

end0.0ms (0%)

sample8.2s (48.2%)

Algorithm

1×

intervals

Results

5.1s	5449×	body	1024	valid
693.0ms	1234×	body	512	valid
326.0ms	166×	body	2048	valid
148.0ms	421×	body	256	valid
117.0ms	730×	body	128	valid

Compiler

Compiled 1928 to 1189 computations (38.3% saved)

Details

analyze2.5s (14.7%)

sample211.0ms (1.2%)

simplify118.0ms (0.7%)

prune3.0ms (0%)

localize21.0ms (0.1%)

rewrite28.0ms (0.2%)

series655.0ms (3.9%)

simplify109.0ms (0.6%)

prune159.0ms (0.9%)

localize28.0ms (0.2%)

rewrite30.0ms (0.2%)

series701.0ms (4.1%)

simplify86.0ms (0.5%)

prune166.0ms (1%)

localize34.0ms (0.2%)

rewrite41.0ms (0.2%)

series1.3s (7.9%)

simplify63.0ms (0.4%)

prune224.0ms (1.3%)

localize37.0ms (0.2%)

rewrite29.0ms (0.2%)

series1.1s (6.8%)

simplify81.0ms (0.5%)

prune141.0ms (0.8%)

regimes850.0ms (5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample8.2s (48.2%)

Profiling