Details

analyze9.1s (20.7%)

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)

sample516.0ms (1.2%)

Algorithm

1×

intervals

Results

364.0ms	175×	body	1024	valid
54.0ms	42×	body	512	valid
44.0ms	14×	body	2048	valid
8.0ms	10×	body	256	valid
6.0ms	15×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify139.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	103

prune13.0ms (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

24.9b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite188.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

24.7b

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:

8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(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)

series651.0ms (1.5%)

Error

24.2b

Counts

4 → 48

Calls

4 calls:

125.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
114.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
108.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
103.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 8112 to 5459 computations (32.7% saved)

simplify99.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4940	1412
1	4940	1412

prune453.0ms (1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	59	21	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	21	81

Error

24.1b

Counts

81 → 21

Compiler

Compiled 7269 to 4451 computations (38.8% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.1b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite250.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

24.1b

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:

8.0ms	(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 3459 to 2059 computations (40.5% saved)

series657.0ms (1.5%)

Error

24.1b

Counts

4 → 48

Calls

4 calls:

122.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
113.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
110.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
107.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 8364 to 5711 computations (31.7% saved)

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4935	1609
1	4935	1609

prune580.0ms (1.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	89	25	114

Error

24.1b

Counts

114 → 25

Compiler

Compiled 8681 to 5401 computations (37.8% saved)

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite164.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

24.1b

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:

11.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(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 2488 to 1506 computations (39.5% saved)

series724.0ms (1.6%)

Error

24.1b

Counts

4 → 48

Calls

4 calls:

146.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
135.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
112.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
111.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 8672 to 6019 computations (30.6% saved)

simplify104.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4940	1412
1	4940	1412

prune529.0ms (1.2%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	2	22	24
Picked	0	1	1
Done	0	0	0
Total	80	25	105

Error

24.1b

Counts

105 → 25

Compiler

Compiled 7913 to 5035 computations (36.4% saved)

localize52.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.1b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite251.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

24.1b

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:

8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 3459 to 2059 computations (40.5% saved)

series739.0ms (1.7%)

Error

24.1b

Counts

4 → 48

Calls

4 calls:

152.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
140.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
123.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
103.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 8364 to 5711 computations (31.7% saved)

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4935	1609
1	4935	1609

prune710.0ms (1.6%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	2	21	23
Picked	1	0	1
Done	0	1	1
Total	94	24	118

Error

24.1b

Counts

118 → 24

Compiler

Compiled 6836 to 4057 computations (40.7% saved)

regimes5.2s (11.8%)

Accuracy

Total 1.0b remaining (4.2%)

Threshold costs 0b (0%)

Compiler

Compiled 66460 to 48292 computations (27.3% saved)

bsearch0.0ms (0%)

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	117	103
1	117	103

Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 260 to 184 computations (29.2% saved)

end0.0ms (0%)

sample22.6s (51.2%)

Algorithm

1×

intervals

Results

11.6s	5265×	body	1024	valid
1.8s	1251×	body	512	valid
1.5s	406×	body	2048	valid
344.0ms	371×	body	256	valid
279.0ms	707×	body	128	valid
6.0ms	3×	body	1024	invalid

Compiler

Compiled 5630 to 4088 computations (27.4% saved)

Details

analyze9.1s (20.7%)

sample516.0ms (1.2%)

simplify139.0ms (0.3%)

prune13.0ms (0%)

localize41.0ms (0.1%)

rewrite188.0ms (0.4%)

series651.0ms (1.5%)

simplify99.0ms (0.2%)

prune453.0ms (1%)

localize40.0ms (0.1%)

rewrite250.0ms (0.6%)

series657.0ms (1.5%)

simplify96.0ms (0.2%)

prune580.0ms (1.3%)

localize44.0ms (0.1%)

rewrite164.0ms (0.4%)

series724.0ms (1.6%)

simplify104.0ms (0.2%)

prune529.0ms (1.2%)

localize52.0ms (0.1%)

rewrite251.0ms (0.6%)

series739.0ms (1.7%)

simplify92.0ms (0.2%)

prune710.0ms (1.6%)

regimes5.2s (11.8%)

bsearch0.0ms (0%)

simplify48.0ms (0.1%)

end0.0ms (0%)

sample22.6s (51.2%)

Profiling