Details

analyze2.6s (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
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)

sample239.0ms (1.3%)

Algorithm

1×

intervals

Results

160.0ms	147×	body	1024	valid
37.0ms	53×	body	512	valid
10.0ms	27×	body	256	valid
9.0ms	5×	body	2048	valid
5.0ms	24×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify216.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	211	32
1	211	32

prune6.0ms (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

Merged error: 0.9b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.3b	(sin.f64 (-.f64 lambda1 lambda2))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite39.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_441` `sin-sum_binary64_552` `cancel-sign-sub-inv_binary64_385`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
6×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
5×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
4×	`cos-sum_binary64_553` `sub-neg_binary64_412`
3×	`associate-r_binary64_359` `associate-l_binary64_360` `cos-diff_binary64_556`
2×	`associate-+r+_binary64_351`
1×	`flip3-+_binary64_422` `pow-prod-down_binary64_490` `sin-diff_binary64_555` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `sum-log_binary64_510` `*-commutative_binary64_350` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

4 → 63

Calls

4 calls:

10.0ms	(sin.f64 (-.f64 lambda1 lambda2))
9.0ms	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
8.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

series525.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

298.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
155.0ms	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
42.0ms	(sin.f64 (-.f64 lambda1 lambda2))
30.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify158.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4791	1221
1	4791	1221

prune149.0ms (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: 0.6b

Counts

76 → 11

Compiler

Compiled 2309 to 492 computations (78.7% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.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) (cos.f64 (-.f64 lambda1 lambda2)))))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite22.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_441`
7×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
6×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
4×	`cos-sum_binary64_553`
3×	`associate-r_binary64_359` `associate-l_binary64_360` `cancel-sign-sub-inv_binary64_385` `cos-diff_binary64_556`
2×	`associate-+r+_binary64_351`
1×	`flip3-+_binary64_422` `pow-prod-down_binary64_490` `sub-neg_binary64_412` `distribute-rgt-in_binary64_369` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `sum-log_binary64_510` `distribute-lft-in_binary64_368` `*-commutative_binary64_350` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

4 → 50

Calls

4 calls:

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

series617.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

315.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
147.0ms	(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) (cos.f64 (-.f64 lambda1 lambda2)))))
101.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
54.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify157.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4763	1242
1	4763	1242

prune186.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	63	10	73

Merged error: 0.1b

Counts

73 → 10

Compiler

Compiled 2446 to 497 computations (79.7% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
0.1b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.6b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_441`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`associate-r_binary64_359` `associate-l_binary64_360`
6×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `distribute-rgt-in_binary64_369` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `distribute-lft-in_binary64_368` `*-commutative_binary64_350`
2×	`associate-+r+_binary64_351` `sub-neg_binary64_412` `associate-*r/_binary64_361` `cancel-sign-sub-inv_binary64_385`
1×	`flip3-+_binary64_422` `sin-mult_binary64_574` `sum-log_binary64_510` `flip3--_binary64_423` `flip-+_binary64_393` `flip--_binary64_394` `+-commutative_binary64_349`

Counts

4 → 74

Calls

4 calls:

9.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
7.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
6.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

series1.1s (6.3%)

Counts

4 → 12

Calls

4 calls:

584.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
349.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
121.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
72.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5108	1737

prune145.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	85	11	96

Merged error: 0.1b

Counts

96 → 11

Compiler

Compiled 3901 to 647 computations (83.4% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.6b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
0.6b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
0.6b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

rewrite40.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_458`
6×	`associate-+r+_binary64_351`
5×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`flip3-+_binary64_422` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`distribute-rgt-in_binary64_369` `cbrt-prod_binary64_450` `sum-log_binary64_510` `distribute-lft-in_binary64_368` `+-commutative_binary64_349`
2×	`cbrt-div_binary64_451`
1×	`pow1/3_binary64_501`

Counts

4 → 52

Calls

4 calls:

10.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
10.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
5.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
4.0ms	(cbrt.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

series2.7s (15.3%)

Counts

4 → 12

Calls

4 calls:

1.1s	(cbrt.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
571.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
544.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
524.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4902	2289
1	4902	2289

prune121.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	65	10	75

Merged error: 0.1b

Counts

75 → 10

Compiler

Compiled 5266 to 359 computations (93.2% saved)

regimes958.0ms (5.4%)

Compiler: Compiled 7007 to 3825 computations (45.4% 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%)

sample7.4s (41.5%)

Algorithm

1×

intervals

Results

4.3s	4435×	body	1024	valid
994.0ms	1744×	body	512	valid
252.0ms	112×	body	2048	valid
250.0ms	726×	body	256	valid
170.0ms	983×	body	128	valid

Compiler

Compiled 1048 to 575 computations (45.1% saved)

Details

analyze2.6s (14.7%)

sample239.0ms (1.3%)

simplify216.0ms (1.2%)

prune6.0ms (0%)

localize24.0ms (0.1%)

rewrite39.0ms (0.2%)

series525.0ms (2.9%)

simplify158.0ms (0.9%)

prune149.0ms (0.8%)

localize38.0ms (0.2%)

rewrite22.0ms (0.1%)

series617.0ms (3.4%)

simplify157.0ms (0.9%)

prune186.0ms (1%)

localize30.0ms (0.2%)

rewrite46.0ms (0.3%)

series1.1s (6.3%)

simplify96.0ms (0.5%)

prune145.0ms (0.8%)

localize42.0ms (0.2%)

rewrite40.0ms (0.2%)

series2.7s (15.3%)

simplify123.0ms (0.7%)

prune121.0ms (0.7%)

regimes958.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.4s (41.5%)

Profiling