Details

analyze1.9s (12.7%)

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)

sample142.0ms (1%)

Algorithm

1×

intervals

Results

97.0ms	153×	body	1024	valid
18.0ms	47×	body	512	valid
5.0ms	38×	body	128	valid
4.0ms	16×	body	256	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	271	32
1	271	32

prune8.0ms (0.1%)

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

0.7b

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) (sin.f64 (-.f64 lambda1 lambda2)))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
3.2b	(sin.f64 (-.f64 lambda1 lambda2))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite117.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

12×	`cancel-sign-sub-inv_binary64_2772` `add-sqr-sqrt_binary64_2828` `sin-sum_binary64_2939`
10×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
4×	`sub-neg_binary64_2799` `cos-sum_binary64_2940`
3×	`cos-diff_binary64_2943` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate-+r+_binary64_2738`
1×	`sin-diff_binary64_2942` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

4 → 63

Calls

4 calls:

7.0ms	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1901 to 401 computations (78.9% saved)

series658.0ms (4.5%)

Error

0.6b

Counts

4 → 60

Calls

4 calls:

326.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
165.0ms	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
50.0ms	(cos.f64 (-.f64 lambda1 lambda2))
49.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3833 to 1873 computations (51.1% saved)

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4959	2103
1	4959	2103

prune156.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	110	13	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	13	124

Error

0.5b

Counts

124 → 13

Compiler

Compiled 3526 to 771 computations (78.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))
3.2b	(sin.f64 (-.f64 lambda1 lambda2))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite105.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

12×	`log-prod_binary64_2892`
11×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
9×	`cancel-sign-sub-inv_binary64_2772`
8×	`cos-sum_binary64_2940` `associate-+r+_binary64_2738`
6×	`add-log-exp_binary64_2845`
5×	`pow1_binary64_2867`
4×	`cos-diff_binary64_2943` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sin-sum_binary64_2939` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `log-pow_binary64_2895` `exp-diff_binary64_2854` `log-div_binary64_2893`
3×	`sub-neg_binary64_2799` `exp-sum_binary64_2852` `exp-prod_binary64_2858`
1×	`sin-diff_binary64_2942` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736` `rem-log-exp_binary64_2847`

Counts

4 → 63

Calls

4 calls:

8.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))
6.0ms	(log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2029 to 470 computations (76.8% saved)

series944.0ms (6.4%)

Error

0.5b

Counts

4 → 52

Calls

4 calls:

579.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))
201.0ms	(log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))
54.0ms	(cos.f64 (-.f64 lambda1 lambda2))
54.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3627 to 1854 computations (48.9% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5190	1760

prune123.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	115	13	128

Error

0.5b

Counts

128 → 13

Compiler

Compiled 3405 to 775 computations (77.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.2b	(sin.f64 (-.f64 lambda1 lambda2))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite107.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

12×	`cos-sum_binary64_2940` `cancel-sign-sub-inv_binary64_2772`
8×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
4×	`sub-neg_binary64_2799` `pow1_binary64_2867` `add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sin-sum_binary64_2939`
3×	`cos-diff_binary64_2943`
1×	`sin-diff_binary64_2942`

Counts

4 → 48

Calls

4 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2784 to 625 computations (77.6% saved)

series333.0ms (2.3%)

Error

0.5b

Counts

4 → 42

Calls

4 calls:

67.0ms	(cos.f64 (-.f64 lambda1 lambda2))
67.0ms	(cos.f64 (-.f64 lambda1 lambda2))
64.0ms	(cos.f64 (-.f64 lambda1 lambda2))
62.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5680 to 2303 computations (59.5% saved)

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4960	1070
1	4960	1070

prune159.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	91	12	103

Error

0.5b

Counts

103 → 12

Compiler

Compiled 5169 to 1204 computations (76.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
0.7b	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
3.2b	(sin.f64 (-.f64 lambda1 lambda2))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite96.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

8×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
6×	`cancel-sign-sub-inv_binary64_2772` `add-log-exp_binary64_2845`
5×	`pow1_binary64_2867`
4×	`cos-sum_binary64_2940` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sin-sum_binary64_2939` `log-pow_binary64_2895` `log-prod_binary64_2892`
3×	`exp-prod_binary64_2858`
2×	`sub-neg_binary64_2799`
1×	`cos-diff_binary64_2943` `sin-diff_binary64_2942` `exp-sum_binary64_2852` `rem-log-exp_binary64_2847` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`

Counts

4 → 51

Calls

4 calls:

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

Compiler

Compiled 1636 to 365 computations (77.7% saved)

series1.3s (8.6%)

Error

0.5b

Counts

4 → 62

Calls

4 calls:

759.0ms	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
331.0ms	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
58.0ms	(sin.f64 (-.f64 lambda1 lambda2))
58.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4348 to 2228 computations (48.8% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5098	1998

prune108.0ms (0.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	112	13	125

Error

0.5b

Counts

125 → 13

Compiler

Compiled 2982 to 572 computations (80.8% saved)

regimes1.4s (9.8%)

Accuracy

Total 0.2b remaining (22.8%)

Threshold costs 0.2b (22.8%)

Compiler

Compiled 20503 to 12477 computations (39.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	44
1	61	44

end0.0ms (0%)

sample6.6s (44.4%)

Algorithm

1×

intervals

Results

2.7s	4418×	body	1024	valid
721.0ms	1800×	body	512	valid
196.0ms	724×	body	256	valid
174.0ms	126×	body	2048	valid
109.0ms	932×	body	128	valid

Compiler

Compiled 2969 to 1810 computations (39% saved)

Details

analyze1.9s (12.7%)

sample142.0ms (1%)

simplify111.0ms (0.8%)

prune8.0ms (0.1%)

localize16.0ms (0.1%)

rewrite117.0ms (0.8%)

series658.0ms (4.5%)

simplify120.0ms (0.8%)

prune156.0ms (1.1%)

localize19.0ms (0.1%)

rewrite105.0ms (0.7%)

series944.0ms (6.4%)

simplify79.0ms (0.5%)

prune123.0ms (0.8%)

localize26.0ms (0.2%)

rewrite107.0ms (0.7%)

series333.0ms (2.3%)

simplify75.0ms (0.5%)

prune159.0ms (1.1%)

localize18.0ms (0.1%)

rewrite96.0ms (0.7%)

series1.3s (8.6%)

simplify80.0ms (0.5%)

prune108.0ms (0.7%)

regimes1.4s (9.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.6s (44.4%)

Profiling