Details

analyze3.2s (14.4%)

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)

sample234.0ms (1.1%)

Algorithm

1×

intervals

Results

166.0ms	173×	body	1024	valid
26.0ms	48×	body	512	valid
20.0ms	10×	body	2048	valid
3.0ms	19×	body	128	valid
2.0ms	6×	body	256	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

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

13.9b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))
2.5b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite137.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

11×	`add-sqr-sqrt_binary64_1464` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
9×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`cancel-sign-sub-inv_binary64_1408` `associate-r_binary64_1382`
4×	`sin-sum_binary64_1575` `add-log-exp_binary64_1481` `cos-sum_binary64_1576` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383`
3×	`cos-diff_binary64_1579`
2×	`sub-neg_binary64_1435` `sin-cos-mult_binary64_1598` `*-commutative_binary64_1373`
1×	`sin-diff_binary64_1578` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-*l/_binary64_1385` `unswap-sqr_binary64_1410`

Counts

4 → 64

Calls

4 calls:

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

Compiler

Compiled 1938 to 357 computations (81.6% saved)

series1.1s (4.8%)

Error

9.7b

Counts

4 → 54

Calls

4 calls:

673.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
179.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
79.0ms	(sin.f64 (-.f64 lambda1 lambda2))
78.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3693 to 1997 computations (45.9% saved)

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4954	1802
1	4954	1802

prune168.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	106	12	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	12	119

Error

6.7b

Counts

119 → 12

Compiler

Compiled 2844 to 775 computations (72.7% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite257.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_1464`
13×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`associate-r_binary64_1382`
7×	`associate-l_binary64_1383`
5×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
4×	`cos-sum_binary64_1576` `add-log-exp_binary64_1481`
3×	`cos-diff_binary64_1579` `cancel-sign-sub-inv_binary64_1408` `associate-l/_binary64_1385` `-commutative_binary64_1373`
2×	`unswap-sqr_binary64_1410`
1×	`sub-neg_binary64_1435` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `sin-cos-mult_binary64_1598` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

4 → 71

Calls

4 calls:

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

Compiler

Compiled 2662 to 378 computations (85.8% saved)

series1.9s (8.8%)

Error

6.2b

Counts

4 → 58

Calls

4 calls:

876.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
679.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
170.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
138.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4889 to 2615 computations (46.5% saved)

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4976	2547
1	4976	2547

prune204.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	132	9	141

Error

0.1b

Counts

141 → 9

Compiler

Compiled 3879 to 777 computations (80% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite212.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
16×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
13×	`add-sqr-sqrt_binary64_1464`
10×	`associate-l_binary64_1383`
9×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `*-commutative_binary64_1373`
2×	`sin-mult_binary64_1597` `unswap-sqr_binary64_1410`
1×	`associate-*r/_binary64_1384`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
9.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.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))

Compiler

Compiled 3613 to 437 computations (87.9% saved)

series2.0s (8.9%)

Error

0.1b

Counts

4 → 50

Calls

4 calls:

804.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
791.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
157.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
149.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 5779 to 2725 computations (52.8% saved)

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5160	2144

prune224.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	129	11	140

Error

0.0b

Counts

140 → 11

Compiler

Compiled 4625 to 837 computations (81.9% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite163.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`pow1_binary64_1503`
17×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
14×	`add-sqr-sqrt_binary64_1464`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`associate-l_binary64_1383`
8×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
7×	`associate-r_binary64_1382`
5×	`add-log-exp_binary64_1481`
3×	`log-pow_binary64_1531` `log-prod_binary64_1528` `*-commutative_binary64_1373`
2×	`unswap-sqr_binary64_1410`
1×	`exp-to-pow_binary64_1504` `exp-prod_binary64_1494` `rem-log-exp_binary64_1483` `sin-mult_binary64_1597`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
8.0ms	(*.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 3268 to 446 computations (86.4% saved)

series1.8s (8%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

794.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
507.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
227.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
162.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 4879 to 2380 computations (51.2% saved)

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4958	1604
1	4958	1604

prune167.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	114	11	125

Error

0.0b

Counts

125 → 11

Compiler

Compiled 4023 to 570 computations (85.8% saved)

regimes2.7s (12%)

Accuracy

Total 0.1b remaining (51.5%)

Threshold costs 0.1b (51.5%)

Compiler

Compiled 30174 to 18649 computations (38.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	140	77
1	140	77

end3.0ms (0%)

Compiler: Compiled 46 to 27 computations (41.3% saved)

sample7.3s (32.8%)

Algorithm

1×

intervals

Results

5.0s	5370×	body	1024	valid
735.0ms	1223×	body	512	valid
332.0ms	177×	body	2048	valid
146.0ms	413×	body	256	valid
144.0ms	817×	body	128	valid

Compiler

Compiled 569 to 344 computations (39.5% saved)

Details

analyze3.2s (14.4%)

sample234.0ms (1.1%)

simplify21.0ms (0.1%)

prune4.0ms (0%)

localize22.0ms (0.1%)

rewrite137.0ms (0.6%)

series1.1s (4.8%)

simplify98.0ms (0.4%)

prune168.0ms (0.8%)

localize35.0ms (0.2%)

rewrite257.0ms (1.2%)

series1.9s (8.8%)

simplify74.0ms (0.3%)

prune204.0ms (0.9%)

localize37.0ms (0.2%)

rewrite212.0ms (1%)

series2.0s (8.9%)

simplify88.0ms (0.4%)

prune224.0ms (1%)

localize36.0ms (0.2%)

rewrite163.0ms (0.7%)

series1.8s (8%)

simplify90.0ms (0.4%)

prune167.0ms (0.8%)

regimes2.7s (12%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end3.0ms (0%)

sample7.3s (32.8%)

Profiling