Details

analyze7.0s (17.7%)

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)

sample428.0ms (1.1%)

Algorithm

1×

intervals

Results

285.0ms	164×	body	1024	valid
50.0ms	45×	body	512	valid
37.0ms	13×	body	2048	valid
7.0ms	24×	body	128	valid
7.0ms	10×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify105.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

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

27.7b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite139.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

26.1b

Rules

4×	`div-sub_binary64_2129` `sin-diff_binary64_2260` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 2328 to 1346 computations (42.2% saved)

series458.0ms (1.2%)

Error

26.4b

Counts

4 → 41

Calls

4 calls:

89.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
85.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
77.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
75.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 7288 to 4909 computations (32.6% saved)

simplify114.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4920	1143
1	4920	1143

prune345.0ms (0.9%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	48	25	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	25	74

Error

25.9b

Counts

74 → 25

Compiler

Compiled 6923 to 4267 computations (38.4% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite153.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

15.1b

Rules

4×	`div-sub_binary64_2129` `sin-diff_binary64_2260` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(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 2744 to 1730 computations (37% saved)

series551.0ms (1.4%)

Error

25.2b

Counts

4 → 44

Calls

4 calls:

97.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
97.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
96.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
87.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 9044 to 6429 computations (28.9% saved)

simplify75.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5051	1257

prune439.0ms (1.1%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	63	13	76
Fresh	7	17	24
Picked	1	0	1
Done	0	0	0
Total	71	30	101

Error

15.0b

Counts

101 → 30

Compiler

Compiled 8713 to 5762 computations (33.9% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite181.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

14.9b

Rules

4×	`div-sub_binary64_2129` `sin-diff_binary64_2260` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`

Counts

4 → 32

Calls

4 calls:

6.0ms	(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 3160 to 2113 computations (33.1% saved)

series654.0ms (1.7%)

Error

14.9b

Counts

4 → 48

Calls

4 calls:

106.0ms	(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))
103.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 11024 to 8082 computations (26.7% saved)

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4940	1412
1	4940	1412

prune572.0ms (1.4%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	66	14	80
Fresh	14	15	29
Picked	1	0	1
Done	0	0	0
Total	81	29	110

Error

14.9b

Counts

110 → 29

Compiler

Compiled 10314 to 7130 computations (30.9% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.2b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite264.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

14.9b

Rules

12×	`cbrt-prod_binary64_2155`
7×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152` `div-sub_binary64_2129` `sin-diff_binary64_2260`
1×	`pow1/3_binary64_2206` `unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096` `rem-cbrt-cube_binary64_2148`

Counts

4 → 45

Calls

4 calls:

7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
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))

Compiler

Compiled 4629 to 3138 computations (32.2% saved)

series670.0ms (1.7%)

Error

14.9b

Counts

4 → 48

Calls

4 calls:

109.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
109.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
107.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
105.0ms	(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

prune573.0ms (1.5%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	2	26	28
Picked	1	0	1
Done	0	0	0
Total	91	31	122

Error

14.9b

Counts

122 → 31

Compiler

Compiled 9254 to 6288 computations (32.1% saved)

regimes6.4s (16.1%)

Accuracy

Total 0.6b remaining (4.3%)

Threshold costs 0.6b (4.3%)

Compiler

Compiled 110416 to 82852 computations (25% saved)

bsearch0.0ms (0%)

simplify41.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	154	150
1	154	150

Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 376 to 288 computations (23.4% saved)

end0.0ms (0%)

sample20.0s (50.7%)

Algorithm

1×

intervals

Results

9.3s	5268×	body	1024	valid
1.4s	1251×	body	512	valid
1.3s	433×	body	2048	valid
293.0ms	401×	body	256	valid
203.0ms	647×	body	128	valid
8.0ms	5×	body	1024	invalid
2.0ms	2×	body	512	invalid

Compiler

Compiled 9322 to 6994 computations (25% saved)

Details

analyze7.0s (17.7%)

sample428.0ms (1.1%)

simplify105.0ms (0.3%)

prune7.0ms (0%)

localize35.0ms (0.1%)

rewrite139.0ms (0.4%)

series458.0ms (1.2%)

simplify114.0ms (0.3%)

prune345.0ms (0.9%)

localize48.0ms (0.1%)

rewrite153.0ms (0.4%)

series551.0ms (1.4%)

simplify75.0ms (0.2%)

prune439.0ms (1.1%)

localize36.0ms (0.1%)

rewrite181.0ms (0.5%)

series654.0ms (1.7%)

simplify94.0ms (0.2%)

prune572.0ms (1.4%)

localize41.0ms (0.1%)

rewrite264.0ms (0.7%)

series670.0ms (1.7%)

simplify78.0ms (0.2%)

prune573.0ms (1.5%)

regimes6.4s (16.1%)

bsearch0.0ms (0%)

simplify41.0ms (0.1%)

end0.0ms (0%)

sample20.0s (50.7%)

Profiling