Details

analyze2.8s (18.3%)

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)

sample222.0ms (1.4%)

Algorithm

1×

intervals

Results

158.0ms	166×	body	1024	valid
24.0ms	45×	body	512	valid
18.0ms	10×	body	2048	valid
5.0ms	13×	body	256	valid
4.0ms	22×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

prune3.0ms (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)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.6b	(sin.f64 (-.f64 lambda1 lambda2))
3.7b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

8.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

series214.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
68.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
21.0ms	(cos.f64 (-.f64 lambda1 lambda2))
17.0ms	(sin.f64 (-.f64 lambda1 lambda2))

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5363	1102

prune111.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	63	13	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	13	77

Error

6.6b

Counts

77 → 13

Compiler

Compiled 2571 to 527 computations (79.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
3.7b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2487`
13×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
10×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
9×	`associate-r_binary64_2405`
7×	`associate-l_binary64_2406`
5×	`prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `cos-sum_binary64_2599`
3×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `cancel-sign-sub-inv_binary64_2431` `cos-diff_binary64_2602`
2×	`unswap-sqr_binary64_2433`
1×	`distribute-lft-in_binary64_2414` `flip--_binary64_2440` `sub-neg_binary64_2458` `sin-cos-mult_binary64_2621` `distribute-rgt-in_binary64_2415` `flip3--_binary64_2469`

Counts

4 → 71

Calls

4 calls:

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

series301.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
105.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
39.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
16.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5316	1458

prune112.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Error

0.1b

Counts

96 → 10

Compiler

Compiled 3423 to 559 computations (83.7% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_2487`
15×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
12×	`associate-r_binary64_2405`
11×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
10×	`associate-l_binary64_2406`
6×	`prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396` `sin-cos-mult_binary64_2621`
3×	`associate-l/_binary64_2408` `sin-mult_binary64_2620` `frac-times_binary64_2475` `associate-r/_binary64_2407` `unswap-sqr_binary64_2433`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `cos-mult_binary64_2619` `frac-add_binary64_2473`
1×	`distribute-lft-in_binary64_2414` `flip--_binary64_2440` `distribute-rgt-in_binary64_2415` `flip3--_binary64_2469`

Counts

4 → 84

Calls

4 calls:

12.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

series424.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

206.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
142.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
40.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
36.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5028	2099

prune175.0ms (1.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	84	12	96
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	92	14	106

Error

0.0b

Counts

106 → 14

Compiler

Compiled 5045 to 826 computations (83.6% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
5.3b	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2487` `pow1_binary64_2526`
13×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
9×	`associate-r_binary64_2405`
7×	`associate-l_binary64_2406`
5×	`add-log-exp_binary64_2504` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
3×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `log-prod_binary64_2551` `log-pow_binary64_2554` `sin-cos-mult_binary64_2621`
2×	`flip3-+_binary64_2468` `frac-times_binary64_2475` `flip-+_binary64_2439` `associate-*r/_binary64_2407` `unswap-sqr_binary64_2433`
1×	`sin-mult_binary64_2620` `distribute-lft-in_binary64_2414` `exp-to-pow_binary64_2527` `flip--_binary64_2440` `distribute-rgt-in_binary64_2415` `exp-prod_binary64_2517` `flip3--_binary64_2469` `rem-log-exp_binary64_2506`

Counts

4 → 78

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
8.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
2.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

series514.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

260.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
123.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
93.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
38.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4985	1961
1	4985	1961

prune110.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	91	13	104

Error

0.0b

Counts

104 → 13

Compiler

Compiled 4140 to 475 computations (88.5% saved)

regimes1.4s (8.7%)

Accuracy

Total 0.1b remaining (82.7%)

Threshold costs 0.1b (82.7%)

Compiler

Compiled 16620 to 9753 computations (41.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	136	63
1	136	63

end0.0ms (0%)

sample8.6s (55.4%)

Algorithm

1×

intervals

Results

4.9s	5383×	body	1024	valid
702.0ms	1264×	body	512	valid
370.0ms	194×	body	2048	valid
144.0ms	386×	body	256	valid
133.0ms	773×	body	128	valid

Compiler

Compiled 2721 to 1591 computations (41.5% saved)

Details

analyze2.8s (18.3%)

sample222.0ms (1.4%)

simplify21.0ms (0.1%)

prune3.0ms (0%)

localize20.0ms (0.1%)

rewrite30.0ms (0.2%)

series214.0ms (1.4%)

simplify83.0ms (0.5%)

prune111.0ms (0.7%)

localize27.0ms (0.2%)

rewrite32.0ms (0.2%)

series301.0ms (1.9%)

simplify47.0ms (0.3%)

prune112.0ms (0.7%)

localize29.0ms (0.2%)

rewrite41.0ms (0.3%)

series424.0ms (2.7%)

simplify68.0ms (0.4%)

prune175.0ms (1.1%)

localize34.0ms (0.2%)

rewrite36.0ms (0.2%)

series514.0ms (3.3%)

simplify78.0ms (0.5%)

prune110.0ms (0.7%)

regimes1.4s (8.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.6s (55.4%)

Profiling