Details

analyze2.1s (14.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1273	224
1	1273	224
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
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)

sample145.0ms (1%)

Algorithm

1×

intervals

Results

90.0ms	135×	body	1024	valid
26.0ms	66×	body	512	valid
6.0ms	24×	body	256	valid
4.0ms	3×	body	2048	valid
3.0ms	28×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify27.0ms (0.2%)

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

0.8b

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	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.8b	(sin.f64 (-.f64 lambda1 lambda2))
2.8b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite88.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

6×	`add-cube-cbrt_binary64_3182` `cancel-sign-sub-inv_binary64_3113` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147` `add-log-exp_binary64_3186`
4×	`cos-sum_binary64_3281` `pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sin-sum_binary64_3280`
3×	`cos-diff_binary64_3284`
2×	`sub-neg_binary64_3140` `associate-+r+_binary64_3079`
1×	`sin-diff_binary64_3283` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `+-commutative_binary64_3077`

Counts

4 → 44

Calls

4 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))
1.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))

Compiler

Compiled 1356 to 285 computations (79% saved)

series604.0ms (4.1%)

Error

0.8b

Counts

4 → 56

Calls

4 calls:

345.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
101.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
53.0ms	(cos.f64 (-.f64 lambda1 lambda2))
47.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3456 to 1713 computations (50.4% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5007	2025

prune138.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	87	13	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	13	101

Error

0.6b

Counts

101 → 13

Compiler

Compiled 2971 to 675 computations (77.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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)))))
0.2b	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.8b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite106.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-sqr-sqrt_binary64_3169`
7×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
5×	`cancel-sign-sub-inv_binary64_3113`
4×	`cos-sum_binary64_3281`
3×	`cos-diff_binary64_3284` `sub-neg_binary64_3140` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `associate-l_binary64_3088` `associate-r_binary64_3087`
2×	`associate-+r+_binary64_3079` `associate-*r/_binary64_3089`
1×	`sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `flip3--_binary64_3151` `flip--_binary64_3122` `*-commutative_binary64_3078`

Counts

4 → 56

Calls

4 calls:

12.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
6.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
5.0ms	(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)))))

Compiler

Compiled 2198 to 339 computations (84.6% saved)

series998.0ms (6.8%)

Error

0.4b

Counts

4 → 60

Calls

4 calls:

391.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
343.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
142.0ms	(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)))))
57.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4938 to 2465 computations (50.1% saved)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5248	3086

prune146.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Error

0.1b

Counts

129 → 12

Compiler

Compiled 4324 to 749 computations (82.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite100.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`add-sqr-sqrt_binary64_3169`
8×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
6×	`add-log-exp_binary64_3186` `associate-l_binary64_3088` `associate-r_binary64_3087`
3×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
2×	`associate-+r+_binary64_3079` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `-commutative_binary64_3078` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113` `associate-r/_binary64_3089`
1×	`sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `sin-mult_binary64_3302` `flip3--_binary64_3151` `flip--_binary64_3122`

Counts

4 → 63

Calls

4 calls:

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

Compiler

Compiled 2921 to 391 computations (86.6% saved)

series1.4s (9.8%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

720.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
386.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
171.0ms	(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) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
90.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 6244 to 2717 computations (56.5% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5256	3892

prune154.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	123	12	135

Error

0.1b

Counts

135 → 12

Compiler

Compiled 5430 to 867 computations (84% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (-.f64 lambda1 lambda2))
2.8b	(cos.f64 (-.f64 lambda1 lambda2))
2.8b	(cos.f64 (-.f64 lambda1 lambda2))
2.8b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite106.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`cos-sum_binary64_3281` `cancel-sign-sub-inv_binary64_3113`
8×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
4×	`sub-neg_binary64_3140` `pow1_binary64_3208` `add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sin-sum_binary64_3280`
3×	`cos-diff_binary64_3284`
1×	`sin-diff_binary64_3283`

Counts

4 → 48

Calls

4 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2784 to 625 computations (77.6% saved)

series287.0ms (2%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

67.0ms	(cos.f64 (-.f64 lambda1 lambda2))
65.0ms	(cos.f64 (-.f64 lambda1 lambda2))
51.0ms	(sin.f64 (-.f64 lambda1 lambda2))
48.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5155 to 2079 computations (59.7% saved)

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4855	993
1	4855	993

prune127.0ms (0.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	85	13	98

Error

0.1b

Counts

98 → 13

Compiler

Compiled 4584 to 941 computations (79.5% saved)

regimes1.2s (8.5%)

Accuracy

Total 0.1b remaining (61.6%)

Threshold costs 0.1b (61.6%)

Compiler

Compiled 18529 to 11308 computations (39% 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%)

sample6.4s (43.6%)

Algorithm

1×

intervals

Results

2.8s	4436×	body	1024	valid
706.0ms	1782×	body	512	valid
184.0ms	725×	body	256	valid
144.0ms	109×	body	2048	valid
112.0ms	948×	body	128	valid

Compiler

Compiled 2694 to 1644 computations (39% saved)

Details

analyze2.1s (14.4%)

sample145.0ms (1%)

simplify27.0ms (0.2%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite88.0ms (0.6%)

series604.0ms (4.1%)

simplify81.0ms (0.6%)

prune138.0ms (0.9%)

localize23.0ms (0.2%)

rewrite106.0ms (0.7%)

series998.0ms (6.8%)

simplify76.0ms (0.5%)

prune146.0ms (1%)

localize24.0ms (0.2%)

rewrite100.0ms (0.7%)

series1.4s (9.8%)

simplify66.0ms (0.5%)

prune154.0ms (1%)

localize27.0ms (0.2%)

rewrite106.0ms (0.7%)

series287.0ms (2%)

simplify132.0ms (0.9%)

prune127.0ms (0.9%)

regimes1.2s (8.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.4s (43.6%)

Profiling