Details

analyze2.7s (12.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1713	273
1	1713	273
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
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample203.0ms (0.9%)

Algorithm

1×

intervals

Results

150.0ms	171×	body	1024	valid
24.0ms	46×	body	512	valid
5.0ms	3×	body	2048	valid
4.0ms	25×	body	128	valid
3.0ms	11×	body	256	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

14.0b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.2b	(sin.f64 (-.f64 lambda1 lambda2))
4.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite125.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

11×	`add-sqr-sqrt_binary64_2487` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`cancel-sign-sub-inv_binary64_2431` `associate-r_binary64_2405`
4×	`cos-sum_binary64_2599` `add-log-exp_binary64_2504` `sin-sum_binary64_2598` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406`
3×	`cos-diff_binary64_2602`
2×	`sub-neg_binary64_2458` `*-commutative_binary64_2396`
1×	`sin-diff_binary64_2601` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `sin-cos-mult_binary64_2621` `associate-*l/_binary64_2408` `unswap-sqr_binary64_2433`

Counts

4 → 63

Calls

4 calls:

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

Compiler

Compiled 2012 to 363 computations (82% saved)

series843.0ms (3.9%)

Error

9.9b

Counts

4 → 45

Calls

4 calls:

492.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
148.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
71.0ms	(sin.f64 (-.f64 lambda1 lambda2))
63.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3331 to 1636 computations (50.9% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5019	1518

prune188.0ms (0.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	90	18	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	18	109

Error

7.5b

Counts

109 → 18

Compiler

Compiled 3542 to 790 computations (77.7% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite137.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_2487`
13×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`associate-r_binary64_2405`
7×	`associate-l_binary64_2406`
5×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`cos-sum_binary64_2599` `add-log-exp_binary64_2504`
3×	`cos-diff_binary64_2602` `cancel-sign-sub-inv_binary64_2431` `*-commutative_binary64_2396`
2×	`unswap-sqr_binary64_2433`
1×	`sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `sin-cos-mult_binary64_2621` `associate-*l/_binary64_2408`

Counts

4 → 69

Calls

4 calls:

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

Compiler

Compiled 2635 to 424 computations (83.9% saved)

series1.0s (4.7%)

Error

7.0b

Counts

4 → 46

Calls

4 calls:

543.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
164.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
155.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
65.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4252 to 2112 computations (50.3% saved)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5291	1619

prune203.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	10	7	17
Picked	1	0	1
Done	0	0	0
Total	122	11	133

Error

0.1b

Counts

133 → 11

Compiler

Compiled 4398 to 766 computations (82.6% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite199.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_2487`
15×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
12×	`associate-r_binary64_2405`
11×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
10×	`associate-l_binary64_2406`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `sin-cos-mult_binary64_2621` `*-commutative_binary64_2396`
3×	`sin-mult_binary64_2620` `frac-times_binary64_2475` `associate-*r/_binary64_2407` `unswap-sqr_binary64_2433`
2×	`cos-mult_binary64_2619` `frac-add_binary64_2473` `flip3-+_binary64_2468` `flip-+_binary64_2439`
1×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-*l/_binary64_2408`

Counts

4 → 82

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
5.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 3862 to 530 computations (86.3% saved)

series1.5s (7.2%)

Error

0.1b

Counts

4 → 48

Calls

4 calls:

1.0s	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
159.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
150.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
148.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5471 to 2433 computations (55.5% saved)

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4965	2655
1	4965	2655

prune238.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	125	5	130
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	131	10	141

Error

0.0b

Counts

141 → 10

Compiler

Compiled 6123 to 968 computations (84.2% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
3.6b	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

rewrite159.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64_2526` `add-sqr-sqrt_binary64_2487`
13×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`associate-r_binary64_2405`
7×	`associate-l_binary64_2406`
5×	`add-log-exp_binary64_2504` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`log-pow_binary64_2554` `log-prod_binary64_2551` `sin-cos-mult_binary64_2621` `*-commutative_binary64_2396`
2×	`flip3-+_binary64_2468` `frac-times_binary64_2475` `flip-+_binary64_2439` `associate-*r/_binary64_2407` `unswap-sqr_binary64_2433`
1×	`exp-to-pow_binary64_2527` `exp-prod_binary64_2517` `rem-log-exp_binary64_2506` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-*l/_binary64_2408` `sin-mult_binary64_2620`

Counts

4 → 76

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
5.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
5.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
2.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

Compiler

Compiled 3773 to 517 computations (86.3% saved)

series2.3s (10.5%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

1.4s	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
477.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
167.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
154.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 5703 to 2551 computations (55.3% saved)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5035	2459

prune191.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	123	11	134

Error

0.0b

Counts

134 → 11

Compiler

Compiled 5536 to 721 computations (87% saved)

regimes1.8s (8.5%)

Accuracy

Total 0.1b remaining (63.9%)

Threshold costs 0.1b (63.9%)

Compiler

Compiled 23492 to 14942 computations (36.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	133	85
1	133	85

end0.0ms (0%)

sample9.3s (43.2%)

Algorithm

1×

intervals

Results

4.8s	5381×	body	1024	valid
687.0ms	1277×	body	512	valid
312.0ms	171×	body	2048	valid
151.0ms	419×	body	256	valid
116.0ms	752×	body	128	valid

Compiler

Compiled 3858 to 2445 computations (36.6% saved)

Details

analyze2.7s (12.4%)

sample203.0ms (0.9%)

simplify20.0ms (0.1%)

prune4.0ms (0%)

localize19.0ms (0.1%)

rewrite125.0ms (0.6%)

series843.0ms (3.9%)

simplify80.0ms (0.4%)

prune188.0ms (0.9%)

localize27.0ms (0.1%)

rewrite137.0ms (0.6%)

series1.0s (4.7%)

simplify70.0ms (0.3%)

prune203.0ms (0.9%)

localize31.0ms (0.1%)

rewrite199.0ms (0.9%)

series1.5s (7.2%)

simplify71.0ms (0.3%)

prune238.0ms (1.1%)

localize34.0ms (0.2%)

rewrite159.0ms (0.7%)

series2.3s (10.5%)

simplify70.0ms (0.3%)

prune191.0ms (0.9%)

regimes1.8s (8.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample9.3s (43.2%)

Profiling