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)

sample149.0ms (1%)

Algorithm

1×

intervals

Results

99.0ms	151×	body	1024	valid
22.0ms	55×	body	512	valid
4.0ms	3×	body	2048	valid
4.0ms	17×	body	256	valid
4.0ms	30×	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

0.4b

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

rewrite84.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

6×	`add-cube-cbrt_binary64_454` `cancel-sign-sub-inv_binary64_385` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419` `add-log-exp_binary64_458`
4×	`cos-sum_binary64_553` `pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sin-sum_binary64_552`
3×	`cos-diff_binary64_556`
2×	`sub-neg_binary64_412` `associate-+r+_binary64_351`
1×	`sin-diff_binary64_555` `sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `+-commutative_binary64_349`

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))
0.0ms	(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)

series577.0ms (4%)

Error

0.4b

Counts

4 → 49

Calls

4 calls:

333.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
110.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
46.0ms	(sin.f64 (-.f64 lambda1 lambda2))
44.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3003 to 1516 computations (49.5% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5194	1775

prune118.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	80	13	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	13	94

Error

0.2b

Counts

94 → 13

Compiler

Compiled 2665 to 598 computations (77.6% 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) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite80.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 50

Calls

4 calls:

5.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
0.0ms	(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 1857 to 334 computations (82% saved)

series702.0ms (4.9%)

Error

0.1b

Counts

4 → 50

Calls

4 calls:

348.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
144.0ms	(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)))))
100.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
56.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4086 to 2076 computations (49.2% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4953	2084
1	4953	2084

prune127.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	101	12	113

Error

0.0b

Counts

113 → 12

Compiler

Compiled 3518 to 655 computations (81.4% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
0.2b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.4b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 phi2))))

rewrite120.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 72

Calls

4 calls:

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

Compiler

Compiled 3302 to 463 computations (86% saved)

series1.1s (7.5%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

464.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 phi2))))
356.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
102.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
98.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5513 to 2361 computations (57.2% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5100	2376

prune157.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	124	12	136

Error

0.0b

Counts

136 → 12

Compiler

Compiled 5523 to 842 computations (84.8% saved)

localize21.0ms (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))))
3.3b	(sin.f64 (-.f64 lambda1 lambda2))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite89.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`cancel-sign-sub-inv_binary64_385` `add-log-exp_binary64_458`
5×	`pow1_binary64_480`
4×	`cos-sum_binary64_553` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sin-sum_binary64_552` `log-pow_binary64_508` `log-prod_binary64_505`
3×	`exp-prod_binary64_471`
2×	`sub-neg_binary64_412`
1×	`cos-diff_binary64_556` `sin-diff_binary64_555` `exp-sum_binary64_465` `rem-log-exp_binary64_460` `sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

4 → 51

Calls

4 calls:

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

Compiler

Compiled 1636 to 365 computations (77.7% saved)

series1.3s (8.7%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

766.0ms	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
339.0ms	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
49.0ms	(sin.f64 (-.f64 lambda1 lambda2))
43.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3809 to 2011 computations (47.2% saved)

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4961	1867
1	4961	1867

prune100.0ms (0.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	106	13	119

Error

0.0b

Counts

119 → 13

Compiler

Compiled 2807 to 527 computations (81.2% saved)

regimes1.1s (7.8%)

Accuracy

Total 0.1b remaining (63.8%)

Threshold costs 0.1b (63.8%)

Compiler

Compiled 15316 to 9537 computations (37.7% 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%)

sample6.1s (42.7%)

Algorithm

1×

intervals

Results

2.9s	4453×	body	1024	valid
692.0ms	1748×	body	512	valid
181.0ms	715×	body	256	valid
142.0ms	107×	body	2048	valid
121.0ms	977×	body	128	valid

Compiler

Compiled 2238 to 1392 computations (37.8% saved)

Details

analyze2.1s (14.4%)

sample149.0ms (1%)

simplify27.0ms (0.2%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite84.0ms (0.6%)

series577.0ms (4%)

simplify70.0ms (0.5%)

prune118.0ms (0.8%)

localize24.0ms (0.2%)

rewrite80.0ms (0.6%)

series702.0ms (4.9%)

simplify70.0ms (0.5%)

prune127.0ms (0.9%)

localize30.0ms (0.2%)

rewrite120.0ms (0.8%)

series1.1s (7.5%)

simplify69.0ms (0.5%)

prune157.0ms (1.1%)

localize21.0ms (0.1%)

rewrite89.0ms (0.6%)

series1.3s (8.7%)

simplify74.0ms (0.5%)

prune100.0ms (0.7%)

regimes1.1s (7.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.1s (42.7%)

Profiling