Details

analyze7.1s (20.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4763	1069
1	4763	1069
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%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 66 to 47 computations (28.8% saved)

sample448.0ms (1.3%)

Algorithm

1×

intervals

Results

300.0ms	172×	body	1024	valid
51.0ms	44×	body	512	valid
47.0ms	14×	body	2048	valid
8.0ms	11×	body	256	valid
5.0ms	15×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify109.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	103

prune7.0ms (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

25.8b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite126.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

25.5b

Rules

4×	`div-sub_binary64_1447` `sin-diff_binary64_1578` `pow1_binary64_1503` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 2328 to 1346 computations (42.2% saved)

series491.0ms (1.4%)

Error

25.0b

Counts

4 → 44

Calls

4 calls:

89.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
89.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
86.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
85.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 7736 to 5215 computations (32.6% saved)

simplify89.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4940	1248
1	4940	1248

prune315.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	59	17	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	17	77

Error

24.9b

Counts

77 → 17

Compiler

Compiled 6634 to 4033 computations (39.2% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite130.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

24.9b

Rules

4×	`div-sub_binary64_1447` `sin-diff_binary64_1578` `pow1_binary64_1503` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 2392 to 1410 computations (41.1% saved)

series516.0ms (1.5%)

Error

24.9b

Counts

4 → 44

Calls

4 calls:

97.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
94.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
93.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
89.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 7952 to 5431 computations (31.7% saved)

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4940	1248
1	4940	1248

prune314.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	4	12	16
Picked	1	0	1
Done	0	0	0
Total	77	16	93

Error

24.9b

Counts

93 → 16

Compiler

Compiled 6727 to 4145 computations (38.4% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.8b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite184.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

24.9b

Rules

12×	`cbrt-prod_binary64_1473`
7×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
4×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470` `div-sub_binary64_1447` `sin-diff_binary64_1578`
1×	`pow1/3_binary64_1524` `unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414` `rem-cbrt-cube_binary64_1466`

Counts

4 → 45

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 3549 to 2149 computations (39.4% saved)

series506.0ms (1.5%)

Error

24.9b

Counts

4 → 42

Calls

4 calls:

97.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
95.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
92.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
92.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 8000 to 5545 computations (30.7% saved)

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4935	1363
1	4935	1363

prune379.0ms (1.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	1	14	15
Picked	0	1	1
Done	0	0	0
Total	85	18	103

Error

24.9b

Counts

103 → 18

Compiler

Compiled 7764 to 4841 computations (37.6% saved)

localize50.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.8b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite223.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

24.9b

Rules

12×	`cbrt-prod_binary64_1473`
7×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
4×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470` `div-sub_binary64_1447` `sin-diff_binary64_1578`
1×	`pow1/3_binary64_1524` `unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414` `rem-cbrt-cube_binary64_1466`

Counts

4 → 45

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 4044 to 2509 computations (38% saved)

series535.0ms (1.5%)

Error

24.8b

Counts

4 → 38

Calls

4 calls:

105.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
103.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
100.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
84.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 8528 to 5947 computations (30.3% saved)

simplify113.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4780	1217
1	4780	1217

prune375.0ms (1.1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	1	15	16
Picked	1	0	1
Done	0	1	1
Total	77	24	101

Error

24.8b

Counts

101 → 24

Compiler

Compiled 7043 to 4343 computations (38.3% saved)

regimes4.3s (12.5%)

Accuracy

Total 1.0b remaining (4.3%)

Threshold costs 0b (0%)

Compiler

Compiled 75290 to 55139 computations (26.8% saved)

bsearch0.0ms (0%)

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	195	151
1	195	151

Remove

(sort phi1 phi2)

Compiler

Compiled 564 to 426 computations (24.5% saved)

end0.0ms (0%)

sample18.1s (51.9%)

Algorithm

1×

intervals

Results

9.3s	5280×	body	1024	valid
1.4s	1211×	body	512	valid
1.3s	418×	body	2048	valid
536.0ms	409×	body	256	valid
218.0ms	682×	body	128	valid
2.0ms	2×	body	512	invalid
2.0ms	1×	body	1024	invalid
0.0ms	1×	body	128	invalid

Compiler

Compiled 5811 to 4263 computations (26.6% saved)

Details

analyze7.1s (20.5%)

sample448.0ms (1.3%)

simplify109.0ms (0.3%)

prune7.0ms (0%)

localize30.0ms (0.1%)

rewrite126.0ms (0.4%)

series491.0ms (1.4%)

simplify89.0ms (0.3%)

prune315.0ms (0.9%)

localize40.0ms (0.1%)

rewrite130.0ms (0.4%)

series516.0ms (1.5%)

simplify92.0ms (0.3%)

prune314.0ms (0.9%)

localize41.0ms (0.1%)

rewrite184.0ms (0.5%)

series506.0ms (1.5%)

simplify78.0ms (0.2%)

prune379.0ms (1.1%)

localize50.0ms (0.1%)

rewrite223.0ms (0.6%)

series535.0ms (1.5%)

simplify113.0ms (0.3%)

prune375.0ms (1.1%)

regimes4.3s (12.5%)

bsearch0.0ms (0%)

simplify66.0ms (0.2%)

end0.0ms (0%)

sample18.1s (51.9%)

Profiling