Details

analyze1.9s (13.9%)

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)

sample147.0ms (1.1%)

Algorithm

1×

intervals

Results

97.0ms	143×	body	1024	valid
21.0ms	56×	body	512	valid
7.0ms	5×	body	2048	valid
4.0ms	35×	body	128	valid
4.0ms	17×	body	256	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	271	32
1	271	32

prune3.0ms (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

Error

0.5b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))
3.5b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_100`
8×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `cancel-sign-sub-inv_binary64_44` `pow1_binary64_139`
5×	`cos-diff_binary64_215`
4×	`sin-sum_binary64_211` `cos-sum_binary64_212`
3×	`associate-l_binary64_19` `associate-r_binary64_18`
2×	`distribute-lft-in_binary64_27` `associate-+r+_binary64_10` `distribute-rgt-in_binary64_28` `sub-neg_binary64_71`
1×	`+-commutative_binary64_8` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip-+_binary64_52` `sin-diff_binary64_214` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `cos-mult_binary64_232` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

4 → 58

Calls

4 calls:

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

series612.0ms (4.5%)

Counts

4 → 52

Calls

4 calls:

328.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
179.0ms	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
57.0ms	(cos.f64 (-.f64 lambda1 lambda2))
47.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2102 to 1451 computations (31% saved)

simplify129.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4839	1679
1	4839	1679

prune123.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Error

0.4b

Counts

111 → 10

Compiler

Compiled 3027 to 629 computations (79.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.7b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
3.5b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_100`
9×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
8×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
6×	`associate-l_binary64_19` `add-log-exp_binary64_117` `associate-r_binary64_18`
4×	`sin-sum_binary64_211`
3×	`associate-*r/_binary64_20` `cancel-sign-sub-inv_binary64_44`
2×	`distribute-lft-in_binary64_27` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip-+_binary64_52` `associate-+r+_binary64_10` `distribute-rgt-in_binary64_28` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `sin-mult_binary64_233` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `frac-add_binary64_86` `sin-diff_binary64_214` `cos-mult_binary64_232` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

4 → 67

Calls

4 calls:

9.0ms	(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
4.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

series1.2s (8.7%)

Counts

4 → 52

Calls

4 calls:

672.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
359.0ms	(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
102.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
55.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2661 to 1868 computations (29.8% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5031	2566

prune134.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	119	10	129

Error

0.1b

Counts

129 → 10

Compiler

Compiled 4170 to 751 computations (82% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
0.2b	(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.7b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_100`
10×	`add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `*-un-lft-identity_binary64_78` `pow1_binary64_139`
9×	`associate-l_binary64_19` `associate-r_binary64_18`
6×	`add-log-exp_binary64_117`
3×	`-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `associate-r/_binary64_20`
2×	`distribute-lft-in_binary64_27` `flip-+_binary64_52` `associate-+r+_binary64_10` `distribute-rgt-in_binary64_28` `sin-mult_binary64_233` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `frac-add_binary64_86` `sin-cos-mult_binary64_234` `cos-mult_binary64_232` `sum-log_binary64_169`

Counts

4 → 74

Calls

4 calls:

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

series1.2s (8.8%)

Counts

4 → 49

Calls

4 calls:

656.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
356.0ms	(.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
93.0ms	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
88.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 3149 to 1948 computations (38.1% saved)

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5026	2567

prune155.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	122	11	133

Error

0.1b

Counts

133 → 11

Compiler

Compiled 5172 to 836 computations (83.8% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2)))
0.2b	(.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.5b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `pow1_binary64_139`
9×	`add-sqr-sqrt_binary64_100`
7×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`associate-l_binary64_19`
4×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-r_binary64_18` `pow-prod-down_binary64_149` `sum-log_binary64_169`
3×	`flip-+_binary64_52` `sin-mult_binary64_233` `flip3-+_binary64_81`
2×	`+-commutative_binary64_8` `-commutative_binary64_9` `frac-add_binary64_86` `associate-l/_binary64_21`
1×	`associate-+l+_binary64_11` `unswap-sqr_binary64_46` `cos-mult_binary64_232` `associate-*r/_binary64_20`

Counts

4 → 64

Calls

4 calls:

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

series1.4s (10.6%)

Counts

4 → 60

Calls

4 calls:

644.0ms	(+.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2)))
441.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))
253.0ms	(.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))
105.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 4039 to 2428 computations (39.9% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4983	2853
1	4983	2853

prune139.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	124	11	135

Error

0.1b

Counts

135 → 11

Compiler

Compiled 5183 to 653 computations (87.4% saved)

regimes529.0ms (3.9%)

Accuracy

Total 0.1b remaining (57.7%)

Threshold costs 0.1b (57.7%)

Compiler

Compiled 7203 to 4350 computations (39.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	61
1	59	61

end0.0ms (0%)

sample5.3s (39.3%)

Algorithm

1×

intervals

Results

2.8s	4463×	body	1024	valid
908.0ms	1725×	body	512	valid
198.0ms	738×	body	256	valid
160.0ms	115×	body	2048	valid
115.0ms	959×	body	128	valid

Compiler

Compiled 1079 to 651 computations (39.7% saved)

Details

analyze1.9s (13.9%)

sample147.0ms (1.1%)

simplify120.0ms (0.9%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite30.0ms (0.2%)

series612.0ms (4.5%)

simplify129.0ms (0.9%)

prune123.0ms (0.9%)

localize23.0ms (0.2%)

rewrite30.0ms (0.2%)

series1.2s (8.7%)

simplify75.0ms (0.6%)

prune134.0ms (1%)

localize25.0ms (0.2%)

rewrite32.0ms (0.2%)

series1.2s (8.8%)

simplify74.0ms (0.5%)

prune155.0ms (1.1%)

localize30.0ms (0.2%)

rewrite34.0ms (0.2%)

series1.4s (10.6%)

simplify78.0ms (0.6%)

prune139.0ms (1%)

regimes529.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.3s (39.3%)

Profiling