Details

analyze3.0s (13.3%)

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)

sample209.0ms (0.9%)

Algorithm

1×

intervals

Results

146.0ms	162×	body	1024	valid
26.0ms	49×	body	512	valid
12.0ms	7×	body	2048	valid
5.0ms	15×	body	256	valid
4.0ms	23×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

prune9.0ms (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

12.8b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.8b	(sin.f64 (-.f64 lambda1 lambda2))
4.8b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite118.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Rules

11×	`add-sqr-sqrt_binary64_1123` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
6×	`cancel-sign-sub-inv_binary64_1067` `associate-r_binary64_1041`
4×	`cos-sum_binary64_1235` `add-log-exp_binary64_1140` `sin-sum_binary64_1234` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-l_binary64_1042`
3×	`cos-diff_binary64_1238`
2×	`sub-neg_binary64_1094` `sin-cos-mult_binary64_1257` `*-commutative_binary64_1032`
1×	`sin-diff_binary64_1237` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate-*l/_binary64_1044` `unswap-sqr_binary64_1069`

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))

Compiler

Compiled 2066 to 344 computations (83.3% saved)

series782.0ms (3.5%)

Error

9.0b

Counts

4 → 59

Calls

4 calls:

400.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
197.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
57.0ms	(sin.f64 (-.f64 lambda1 lambda2))
56.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4480 to 2108 computations (52.9% saved)

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4966	2026
1	4966	2026

prune190.0ms (0.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	103	20	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	20	124

Error

5.6b

Counts

124 → 20

Compiler

Compiled 4198 to 917 computations (78.2% saved)

localize27.0ms (0.1%)

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 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.8b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite126.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_1123`
13×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`associate-r_binary64_1041`
7×	`associate-l_binary64_1042`
5×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
4×	`cos-sum_binary64_1235` `add-log-exp_binary64_1140`
3×	`cos-diff_binary64_1238` `cancel-sign-sub-inv_binary64_1067` `associate-l/_binary64_1044` `-commutative_binary64_1032`
2×	`unswap-sqr_binary64_1069`
1×	`sub-neg_binary64_1094` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `sin-cos-mult_binary64_1257` `flip3--_binary64_1105` `flip--_binary64_1076`

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

Compiler

Compiled 2860 to 402 computations (85.9% saved)

series1.0s (4.5%)

Error

4.9b

Counts

4 → 57

Calls

4 calls:

401.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
373.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
112.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
56.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5349 to 2573 computations (51.9% saved)

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5009	2563

prune184.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	12	7	19
Picked	1	0	1
Done	0	0	0
Total	136	12	148

Error

0.1b

Counts

148 → 12

Compiler

Compiled 5179 to 873 computations (83.1% saved)

localize27.0ms (0.1%)

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 (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))))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

rewrite162.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_1123`
15×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
12×	`associate-r_binary64_1041`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
10×	`associate-l_binary64_1042`
6×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
4×	`add-log-exp_binary64_1140` `*-commutative_binary64_1032` `sin-cos-mult_binary64_1257`
3×	`sin-mult_binary64_1256` `unswap-sqr_binary64_1069` `frac-times_binary64_1111` `associate-l/_binary64_1044` `associate-r/_binary64_1043`
2×	`cos-mult_binary64_1255` `frac-add_binary64_1109` `flip3-+_binary64_1104` `flip-+_binary64_1075`
1×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `flip3--_binary64_1105` `flip--_binary64_1076`

Counts

4 → 84

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))))
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))
5.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 4101 to 514 computations (87.5% saved)

series1.4s (6.2%)

Error

0.0b

Counts

4 → 59

Calls

4 calls:

682.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
403.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
119.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
104.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 6726 to 2934 computations (56.4% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4975	3755
1	4975	3755

prune226.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	142	13	155

Error

0.0b

Counts

155 → 13

Compiler

Compiled 7112 to 1134 computations (84.1% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

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))))))
0.2b	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
3.8b	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

rewrite141.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64_1162` `add-sqr-sqrt_binary64_1123`
13×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`associate-r_binary64_1041`
7×	`associate-l_binary64_1042`
5×	`add-log-exp_binary64_1140` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
3×	`log-pow_binary64_1190` `log-prod_binary64_1187` `*-commutative_binary64_1032` `sin-cos-mult_binary64_1257`
2×	`unswap-sqr_binary64_1069` `flip3-+_binary64_1104` `frac-times_binary64_1111` `flip-+_binary64_1075` `associate-*r/_binary64_1043`
1×	`exp-to-pow_binary64_1163` `exp-prod_binary64_1153` `rem-log-exp_binary64_1142` `sin-mult_binary64_1256` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate-*l/_binary64_1044`

Counts

4 → 76

Calls

4 calls:

11.0ms	(.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)

series1.5s (6.8%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

931.0ms	(.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))))))
311.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
113.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
102.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 6077 to 2698 computations (55.6% saved)

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4985	2814
1	4985	2814

prune157.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	127	13	140

Error

0.0b

Counts

140 → 13

Compiler

Compiled 5817 to 791 computations (86.4% saved)

regimes2.2s (9.9%)

Accuracy

Total 0.2b remaining (77.8%)

Threshold costs 0.2b (77.8%)

Compiler

Compiled 33107 to 20552 computations (37.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	138	85
1	138	85

end0.0ms (0%)

sample10.6s (47%)

Algorithm

1×

intervals

Results

4.8s	5332×	body	1024	valid
715.0ms	1245×	body	512	valid
389.0ms	204×	body	2048	valid
147.0ms	422×	body	256	valid
136.0ms	797×	body	128	valid

Compiler

Compiled 5406 to 3349 computations (38.1% saved)

Details

analyze3.0s (13.3%)

sample209.0ms (0.9%)

simplify22.0ms (0.1%)

prune9.0ms (0%)

localize21.0ms (0.1%)

rewrite118.0ms (0.5%)

series782.0ms (3.5%)

simplify84.0ms (0.4%)

prune190.0ms (0.8%)

localize27.0ms (0.1%)

rewrite126.0ms (0.6%)

series1.0s (4.5%)

simplify74.0ms (0.3%)

prune184.0ms (0.8%)

localize27.0ms (0.1%)

rewrite162.0ms (0.7%)

series1.4s (6.2%)

simplify93.0ms (0.4%)

prune226.0ms (1%)

localize33.0ms (0.1%)

rewrite141.0ms (0.6%)

series1.5s (6.8%)

simplify78.0ms (0.3%)

prune157.0ms (0.7%)

regimes2.2s (9.9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample10.6s (47%)

Profiling