Details

analyze2.2s (23.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5562	539
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0.8%	99%	0.2%	11
4.7%	95.1%	0.2%	12
5.9%	93.2%	0.8%	13
8.5%	90.2%	1.3%	14

Compiler

Compiled 33 to 22 computations (33.3% saved)

sample97.0ms (1.1%)

Algorithm

1×

intervals

Results

25.0ms	194×	body	128	valid
14.0ms	30×	body	1024	valid
10.0ms	97×	body	128	invalid
8.0ms	17×	body	1024	invalid
6.0ms	17×	body	512	valid
5.0ms	15×	body	512	invalid
3.0ms	15×	body	256	valid
2.0ms	7×	body	256	invalid

Compiler

Compiled 65 to 48 computations (26.2% saved)

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4960	49
1	4960	49

prune4.0ms (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

39.5b

Counts

2 → 1

Compiler

Compiled 64 to 42 computations (34.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
2.9b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
2.9b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
36.7b	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite77.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

142×	`associate-*l/_binary64_1044`
102×	`flip--_binary64_1076` `flip3--_binary64_1105`
68×	`frac-times_binary64_1111`
66×	`sqrt-div_binary64_1118`
64×	`frac-add_binary64_1109`
44×	`pow1_binary64_1162`
34×	`associate-*r/_binary64_1043`
17×	`pow-prod-down_binary64_1172`
16×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
8×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
6×	`add-sqr-sqrt_binary64_1123`
5×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`pow-prod-up_binary64_1171` `add-log-exp_binary64_1140` `pow-sqr_binary64_1074`
3×	`sqrt-prod_binary64_1117`
2×	`pow-plus_binary64_1164`
1×	`-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `sqrt-pow1_binary64_1119` `flip3-+_binary64_1104` `swap-sqr_binary64_1068` `associate-r_binary64_1041` `flip-+_binary64_1075` `associate-l*_binary64_1042` `pow2_binary64_1182` `pow1/2_binary64_1181`

Counts

4 → 135

Calls

4 calls:

20.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
18.0ms	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
5.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
5.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))

series876.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

694.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
150.0ms	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
16.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
16.0ms	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5228	10334

prune295.0ms (3.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	140	7	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	7	148

Error

16.3b

Counts

148 → 7

Compiler

Compiled 8855 to 2958 computations (66.6% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 R (-.f64 phi2 phi1))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_1123`
7×	`*-un-lft-identity_binary64_1101`
6×	`cancel-sign-sub-inv_binary64_1067`
5×	`add-cube-cbrt_binary64_1136` `associate-r_binary64_1041`
4×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
3×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
2×	`sub-neg_binary64_1094` `associate-*r/_binary64_1043`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `difference-of-squares_binary64_1070` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 R (-.f64 phi2 phi1))

series35.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

35.0ms

(*.f64 R (-.f64 phi2 phi1))

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5688	314

prune39.0ms (0.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	26	7	33
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	28	12	40

Error

16.3b

Counts

40 → 12

Compiler

Compiled 628 to 286 computations (54.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1140`
1×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `add-exp-log_binary64_1139` `pow1_binary64_1162` `unsub-neg_binary64_1095` `flip3-+_binary64_1104` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `+-commutative_binary64_1031` `flip-+_binary64_1075` `distribute-rgt-neg-out_binary64_1061`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+.f64 (*.f64 R phi2) (*.f64 R (neg.f64 phi1)))

series35.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

35.0ms

(+.f64 (*.f64 R phi2) (*.f64 R (neg.f64 phi1)))

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5235	170

prune27.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	16	12	28

Error

16.3b

Counts

28 → 12

Compiler

Compiled 479 to 253 computations (47.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 R) (cbrt.f64 R))
0.6b	(cbrt.f64 R)
0.6b	(cbrt.f64 R)
0.6b	(cbrt.f64 R)

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1132`
23×	`add-sqr-sqrt_binary64_1123`
15×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
11×	`pow1_binary64_1162`
9×	`pow1/3_binary64_1183`
6×	`add-exp-log_binary64_1139` `swap-sqr_binary64_1068` `associate-r_binary64_1041` `associate-l_binary64_1042`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
2×	`pow-prod-up_binary64_1171` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow2_binary64_1182`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 R) (cbrt.f64 R))
1.0ms	(cbrt.f64 R)
1.0ms	(cbrt.f64 R)
1.0ms	(cbrt.f64 R)

series356.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(*.f64 (cbrt.f64 R) (cbrt.f64 R))
90.0ms	(cbrt.f64 R)
83.0ms	(cbrt.f64 R)
75.0ms	(cbrt.f64 R)

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune60.0ms (0.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	78	7	85
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	79	18	97

Error

16.3b

Counts

97 → 18

Compiler

Compiled 1244 to 321 computations (74.2% saved)

regimes1.2s (13.2%)

Accuracy

Total 3.6b remaining (18.7%)

Threshold costs 0b (0%)

Compiler

Compiled 9770 to 6476 computations (33.7% saved)

bsearch4.0ms (0%)

Compiler: Compiled 32 to 21 computations (34.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	166
1	61	166

end0.0ms (0%)

sample3.4s (36.8%)

Algorithm

1×

intervals

Results

643.0ms	6078×	body	128	valid
354.0ms	780×	body	1024	valid
261.0ms	2470×	body	128	invalid
240.0ms	741×	body	512	valid
230.0ms	474×	body	1024	invalid
122.0ms	349×	body	512	invalid
88.0ms	393×	body	256	valid
39.0ms	164×	body	256	invalid
6.0ms	8×	body	2048	valid

Compiler

Compiled 1155 to 751 computations (35% saved)

Details

analyze2.2s (23.9%)

sample97.0ms (1.1%)

simplify131.0ms (1.4%)

prune4.0ms (0%)

localize16.0ms (0.2%)

rewrite77.0ms (0.8%)

series876.0ms (9.6%)

simplify100.0ms (1.1%)

prune295.0ms (3.2%)

localize4.0ms (0%)

rewrite9.0ms (0.1%)

series35.0ms (0.4%)

simplify50.0ms (0.5%)

prune39.0ms (0.4%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series35.0ms (0.4%)

simplify75.0ms (0.8%)

prune27.0ms (0.3%)

localize7.0ms (0.1%)

rewrite14.0ms (0.2%)

series356.0ms (3.9%)

simplify63.0ms (0.7%)

prune60.0ms (0.7%)

regimes1.2s (13.2%)

bsearch4.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.4s (36.8%)

Profiling