Details

analyze6.9s (18%)

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)

sample419.0ms (1.1%)

Algorithm

1×

intervals

Results

276.0ms	161×	body	1024	valid
44.0ms	41×	body	512	valid
38.0ms	13×	body	2048	valid
9.0ms	29×	body	128	valid
8.0ms	12×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify107.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

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

22.6b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite134.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

21.2b

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:

6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 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)

series457.0ms (1.2%)

Error

21.4b

Counts

4 → 41

Calls

4 calls:

91.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
89.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
76.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
70.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 7205 to 4847 computations (32.7% saved)

simplify114.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4916	1152
1	4916	1152

prune324.0ms (0.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	53	20	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	20	74

Error

21.0b

Counts

74 → 20

Compiler

Compiled 6587 to 4028 computations (38.8% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite155.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

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 phi1 phi2) 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 2744 to 1730 computations (37% saved)

series554.0ms (1.4%)

Error

20.4b

Counts

4 → 46

Calls

4 calls:

95.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
95.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
94.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
87.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 9258 to 6575 computations (29% saved)

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5099	1339

prune429.0ms (1.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	64	14	78
Fresh	9	10	19
Picked	1	0	1
Done	0	0	0
Total	74	24	98

Error

11.3b

Counts

98 → 24

Compiler

Compiled 8464 to 5575 computations (34.1% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite173.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

11.2b

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 3160 to 2113 computations (33.1% saved)

series638.0ms (1.7%)

Error

11.3b

Counts

4 → 48

Calls

4 calls:

107.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
104.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
104.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
100.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 11024 to 8082 computations (26.7% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4940	1412
1	4940	1412

prune504.0ms (1.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	68	12	80
Fresh	10	13	23
Picked	1	0	1
Done	0	0	0
Total	79	25	104

Error

11.2b

Counts

104 → 25

Compiler

Compiled 9988 to 6895 computations (31% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.5b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite264.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

11.2b

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 4629 to 3138 computations (32.2% saved)

series670.0ms (1.7%)

Error

11.2b

Counts

4 → 48

Calls

4 calls:

110.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
109.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
108.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
107.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 11276 to 8334 computations (26.1% saved)

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4935	1609
1	4935	1609

prune534.0ms (1.4%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	5	19	24
Picked	1	0	1
Done	0	0	0
Total	93	25	118

Error

11.2b

Counts

118 → 25

Compiler

Compiled 9254 to 6288 computations (32.1% saved)

regimes5.9s (15.5%)

Accuracy

Total 0.6b remaining (4.4%)

Threshold costs 0.6b (4.4%)

Compiler

Compiled 103912 to 78100 computations (24.8% saved)

bsearch0.0ms (0%)

simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	141	145
1	141	145

Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 364 to 276 computations (24.2% saved)

end0.0ms (0%)

sample19.5s (51%)

Algorithm

1×

intervals

Results

9.1s	5318×	body	1024	valid
1.4s	1191×	body	512	valid
1.3s	421×	body	2048	valid
311.0ms	429×	body	256	valid
219.0ms	641×	body	128	valid
2.0ms	1×	body	1024	invalid
1.0ms	1×	body	256	invalid

Compiler

Compiled 8777 to 6595 computations (24.9% saved)

Details

analyze6.9s (18%)

sample419.0ms (1.1%)

simplify107.0ms (0.3%)

prune7.0ms (0%)

localize35.0ms (0.1%)

rewrite134.0ms (0.4%)

series457.0ms (1.2%)

simplify114.0ms (0.3%)

prune324.0ms (0.8%)

localize42.0ms (0.1%)

rewrite155.0ms (0.4%)

series554.0ms (1.4%)

simplify78.0ms (0.2%)

prune429.0ms (1.1%)

localize40.0ms (0.1%)

rewrite173.0ms (0.5%)

series638.0ms (1.7%)

simplify90.0ms (0.2%)

prune504.0ms (1.3%)

localize41.0ms (0.1%)

rewrite264.0ms (0.7%)

series670.0ms (1.7%)

simplify78.0ms (0.2%)

prune534.0ms (1.4%)

regimes5.9s (15.5%)

bsearch0.0ms (0%)

simplify40.0ms (0.1%)

end0.0ms (0%)

sample19.5s (51%)

Profiling