Details

analyze4.0s (15.8%)

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)

sample266.0ms (1.1%)

Algorithm

1×

intervals

Results

167.0ms	149×	body	1024	valid
39.0ms	54×	body	512	valid
16.0ms	4×	body	2048	valid
11.0ms	25×	body	256	valid
5.0ms	24×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	271	32
1	271	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

Error

0.7b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize33.0ms (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)))))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
3.3b	(sin.f64 (-.f64 lambda1 lambda2))
3.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite158.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

6×	`add-cube-cbrt_binary64_2159` `cancel-sign-sub-inv_binary64_2090` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124` `add-log-exp_binary64_2163`
4×	`cos-sum_binary64_2258` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sin-sum_binary64_2257`
3×	`cos-diff_binary64_2261`
2×	`sub-neg_binary64_2117` `associate-+r+_binary64_2056`
1×	`sin-diff_binary64_2260` `sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `+-commutative_binary64_2054`

Counts

4 → 44

Calls

4 calls:

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

series966.0ms (3.9%)

Error

0.7b

Counts

4 → 48

Calls

4 calls:

567.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
171.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
83.0ms	(sin.f64 (-.f64 lambda1 lambda2))
72.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2914 to 1470 computations (49.6% saved)

simplify151.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4906	1743
1	4906	1743

prune217.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	79	13	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	13	93

Error

0.5b

Counts

93 → 13

Compiler

Compiled 2648 to 587 computations (77.8% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
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))))
3.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite162.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-sqr-sqrt_binary64_2146`
7×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
5×	`cos-diff_binary64_2261`
4×	`cos-sum_binary64_2258`
3×	`cancel-sign-sub-inv_binary64_2090` `associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`distribute-rgt-in_binary64_2074` `associate-+r+_binary64_2056` `distribute-lft-in_binary64_2073`
1×	`sub-neg_binary64_2117` `sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054` `cos-mult_binary64_2278` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`

Counts

4 → 53

Calls

4 calls:

11.0ms	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
9.0ms	(cos.f64 (-.f64 lambda1 lambda2))
9.0ms	(+.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)))))

Compiler

Compiled 1988 to 326 computations (83.6% saved)

series1.4s (5.6%)

Error

0.2b

Counts

4 → 59

Calls

4 calls:

617.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
318.0ms	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
244.0ms	(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)))))
110.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4784 to 2344 computations (51% saved)

simplify146.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4945	2438
1	4945	2438

prune253.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	114	11	125

Error

0.1b

Counts

125 → 11

Compiler

Compiled 3936 to 676 computations (82.8% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
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 (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)))))

rewrite494.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

8×	`add-log-exp_binary64_2163` `add-sqr-sqrt_binary64_2146`
6×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+r+_binary64_2056` `+-commutative_binary64_2054` `sin-mult_binary64_2279`
1×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `cos-mult_binary64_2278` `frac-add_binary64_2132`

Counts

4 → 51

Calls

4 calls:

347.0ms	(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
10.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
8.0ms	(+.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 2387 to 359 computations (85% saved)

series2.1s (8.2%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

1.2s	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
283.0ms	(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))))))
265.0ms	(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
180.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5323 to 2328 computations (56.3% saved)

simplify133.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5046	3095

prune233.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	105	11	116

Error

0.1b

Counts

116 → 11

Compiler

Compiled 4443 to 727 computations (83.6% saved)

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.3b	(sin.f64 (-.f64 lambda1 lambda2))
3.5b	(cos.f64 (-.f64 lambda1 lambda2))
3.5b	(cos.f64 (-.f64 lambda1 lambda2))
3.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite198.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`cos-sum_binary64_2258` `cancel-sign-sub-inv_binary64_2090`
8×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`sub-neg_binary64_2117` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sin-sum_binary64_2257`
3×	`cos-diff_binary64_2261`
1×	`sin-diff_binary64_2260`

Counts

4 → 48

Calls

4 calls:

9.0ms	(cos.f64 (-.f64 lambda1 lambda2))
9.0ms	(cos.f64 (-.f64 lambda1 lambda2))
9.0ms	(cos.f64 (-.f64 lambda1 lambda2))
9.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2784 to 625 computations (77.6% saved)

series489.0ms (2%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

105.0ms	(cos.f64 (-.f64 lambda1 lambda2))
102.0ms	(cos.f64 (-.f64 lambda1 lambda2))
96.0ms	(sin.f64 (-.f64 lambda1 lambda2))
88.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4956 to 2014 computations (59.4% saved)

simplify241.0ms (1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (212.0ms)

Iter	Nodes	Cost
0	4768	950
1	4768	950

prune243.0ms (1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	83	12	95

Error

0.1b

Counts

95 → 12

Compiler

Compiled 4466 to 912 computations (79.6% saved)

regimes1.9s (7.6%)

Accuracy

Total 0.1b remaining (61.2%)

Threshold costs 0.1b (61.2%)

Compiler

Compiled 14714 to 8963 computations (39.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	57	56
1	57	56

end0.0ms (0%)

sample11.1s (44.4%)

Algorithm

1×

intervals

Results

5.2s	4444×	body	1024	valid
1.3s	1772×	body	512	valid
335.0ms	731×	body	256	valid
285.0ms	116×	body	2048	valid
206.0ms	937×	body	128	valid

Compiler

Compiled 2149 to 1309 computations (39.1% saved)

Details

analyze4.0s (15.8%)

sample266.0ms (1.1%)

simplify50.0ms (0.2%)

prune6.0ms (0%)

localize33.0ms (0.1%)

rewrite158.0ms (0.6%)

series966.0ms (3.9%)

simplify151.0ms (0.6%)

prune217.0ms (0.9%)

localize49.0ms (0.2%)

rewrite162.0ms (0.6%)

series1.4s (5.6%)

simplify146.0ms (0.6%)

prune253.0ms (1%)

localize50.0ms (0.2%)

rewrite494.0ms (2%)

series2.1s (8.2%)

simplify133.0ms (0.5%)

prune233.0ms (0.9%)

localize55.0ms (0.2%)

rewrite198.0ms (0.8%)

series489.0ms (2%)

simplify241.0ms (1%)

prune243.0ms (1%)

regimes1.9s (7.6%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample11.1s (44.4%)

Profiling