Details

analyze1.9s (12.1%)

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)

sample137.0ms (0.9%)

Algorithm

1×

intervals

Results

78.0ms	131×	body	1024	valid
24.0ms	64×	body	512	valid
10.0ms	33×	body	128	valid
7.0ms	26×	body	256	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	271	32
1	271	32

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

0.7b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize22.0ms (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)))))
0.7b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.5b	(sin.f64 (-.f64 lambda1 lambda2))
2.7b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite88.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

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)

series617.0ms (4%)

Error

0.7b

Counts

4 → 54

Calls

4 calls:

360.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
105.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
52.0ms	(cos.f64 (-.f64 lambda1 lambda2))
45.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3357 to 1680 computations (50% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5151	1904

prune135.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	82	16	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	16	99

Error

0.6b

Counts

99 → 16

Compiler

Compiled 2914 to 691 computations (76.3% saved)

localize24.0ms (0.2%)

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) (+.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)))))
2.5b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite85.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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×	`sin-sum_binary64_552`
3×	`cancel-sign-sub-inv_binary64_385` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`associate-+r+_binary64_351`
1×	`sin-diff_binary64_555` `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` `sin-mult_binary64_574` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

4 → 51

Calls

4 calls:

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)))))
0.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 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 1946 to 351 computations (82% saved)

series1.1s (7.2%)

Error

0.4b

Counts

4 → 54

Calls

4 calls:

731.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
157.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
103.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
59.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4580 to 2282 computations (50.2% saved)

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4966	2721
1	4966	2721

prune136.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	108	13	121

Error

0.1b

Counts

121 → 13

Compiler

Compiled 3861 to 763 computations (80.2% saved)

localize29.0ms (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))
0.7b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

rewrite94.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

8×	`add-log-exp_binary64_458` `add-sqr-sqrt_binary64_441`
6×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
3×	`associate-l_binary64_360` `associate-r_binary64_359`
2×	`sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `associate-+r+_binary64_351` `+-commutative_binary64_349` `sin-mult_binary64_574`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `cos-mult_binary64_573` `frac-add_binary64_427`

Counts

4 → 51

Calls

4 calls:

7.0ms	(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.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)))))
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) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

Compiler

Compiled 2387 to 359 computations (85% saved)

series1.3s (8.1%)

Error

0.1b

Counts

4 → 55

Calls

4 calls:

746.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
180.0ms	(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))))))
157.0ms	(+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
115.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5548 to 2433 computations (56.1% saved)

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5053	3232

prune138.0ms (0.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	106	13	119

Error

0.1b

Counts

119 → 13

Compiler

Compiled 4625 to 787 computations (83% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
0.8b	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
2.5b	(sin.f64 (-.f64 lambda1 lambda2))
2.7b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite95.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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

Compiler

Compiled 1636 to 365 computations (77.7% saved)

series1.3s (8.5%)

Error

0.1b

Counts

4 → 64

Calls

4 calls:

797.0ms	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
337.0ms	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
58.0ms	(cos.f64 (-.f64 lambda1 lambda2))
49.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4439 to 2308 computations (48% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5017	2090

prune108.0ms (0.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	114	14	128

Error

0.1b

Counts

128 → 14

Compiler

Compiled 3051 to 609 computations (80% saved)

regimes1.3s (8.5%)

Accuracy

Total 0.1b remaining (63.9%)

Threshold costs 0.1b (63.9%)

Compiler

Compiled 18452 to 11343 computations (38.5% 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 (41.4%)

Algorithm

1×

intervals

Results

2.8s	4465×	body	1024	valid
693.0ms	1718×	body	512	valid
200.0ms	741×	body	256	valid
162.0ms	119×	body	2048	valid
121.0ms	957×	body	128	valid

Compiler

Compiled 2683 to 1649 computations (38.5% saved)

Details

analyze1.9s (12.1%)

sample137.0ms (0.9%)

simplify119.0ms (0.8%)

prune3.0ms (0%)

localize22.0ms (0.1%)

rewrite88.0ms (0.6%)

series617.0ms (4%)

simplify80.0ms (0.5%)

prune135.0ms (0.9%)

localize24.0ms (0.2%)

rewrite85.0ms (0.5%)

series1.1s (7.2%)

simplify107.0ms (0.7%)

prune136.0ms (0.9%)

localize29.0ms (0.2%)

rewrite94.0ms (0.6%)

series1.3s (8.1%)

simplify77.0ms (0.5%)

prune138.0ms (0.9%)

localize20.0ms (0.1%)

rewrite95.0ms (0.6%)

series1.3s (8.5%)

simplify79.0ms (0.5%)

prune108.0ms (0.7%)

regimes1.3s (8.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.4s (41.4%)

Profiling