Details

analyze7.2s (19.6%)

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)

sample444.0ms (1.2%)

Algorithm

1×

intervals

Results

313.0ms	165×	body	1024	valid
47.0ms	41×	body	512	valid
27.0ms	9×	body	2048	valid
10.0ms	15×	body	256	valid
8.0ms	26×	body	128	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

prune6.0ms (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

22.3b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite138.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

21.2b

Rules

4×	`div-sub_binary64_4175` `sin-diff_binary64_4306` `pow1_binary64_4231` `add-log-exp_binary64_4209` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`

Counts

4 → 32

Calls

4 calls:

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

Compiler

Compiled 2328 to 1346 computations (42.2% saved)

series426.0ms (1.2%)

Error

21.3b

Counts

4 → 38

Calls

4 calls:

89.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
82.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
68.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
65.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 6840 to 4602 computations (32.7% saved)

simplify68.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5161	1038

prune310.0ms (0.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	50	20	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	20	71

Error

20.9b

Counts

71 → 20

Compiler

Compiled 6308 to 3855 computations (38.9% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite146.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

13.6b

Rules

4×	`div-sub_binary64_4175` `sin-diff_binary64_4306` `pow1_binary64_4231` `add-log-exp_binary64_4209` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`

Counts

4 → 32

Calls

4 calls:

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

Compiler

Compiled 2744 to 1730 computations (37% saved)

series558.0ms (1.5%)

Error

20.6b

Counts

4 → 44

Calls

4 calls:

98.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
97.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
97.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
86.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

Compiler

Compiled 9044 to 6429 computations (28.9% saved)

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5099	1257

prune657.0ms (1.8%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	64	12	76
Fresh	6	13	19
Picked	1	0	1
Done	0	0	0
Total	71	25	96

Error

13.6b

Counts

96 → 25

Compiler

Compiled 8317 to 5480 computations (34.1% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite178.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

13.5b

Rules

4×	`div-sub_binary64_4175` `sin-diff_binary64_4306` `pow1_binary64_4231` `add-log-exp_binary64_4209` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`

Counts

4 → 32

Calls

4 calls:

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

Compiler

Compiled 3160 to 2113 computations (33.1% saved)

series645.0ms (1.8%)

Error

13.5b

Counts

4 → 46

Calls

4 calls:

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

Compiler

Compiled 10784 to 7912 computations (26.6% saved)

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4940	1330
1	4940	1330

prune529.0ms (1.4%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	69	9	78
Fresh	7	17	24
Picked	1	0	1
Done	0	0	0
Total	77	26	103

Error

13.5b

Counts

103 → 26

Compiler

Compiled 9761 to 6727 computations (31.1% saved)

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.1b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite259.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

13.5b

Rules

12×	`cbrt-prod_binary64_4201`
7×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
4×	`pow1_binary64_4231` `add-log-exp_binary64_4209` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
3×	`unpow-prod-down_binary64_4249` `cube-prod_binary64_4198` `div-sub_binary64_4175` `sin-diff_binary64_4306`
1×	`pow1/3_binary64_4252` `unpow3_binary64_4236` `cube-mult_binary64_4200` `sqr-pow_binary64_4142` `rem-cbrt-cube_binary64_4194`

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 4629 to 3138 computations (32.2% saved)

series648.0ms (1.8%)

Error

13.5b

Counts

4 → 46

Calls

4 calls:

114.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
110.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
108.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
106.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 11030 to 8158 computations (26% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4935	1527
1	4935	1527

prune579.0ms (1.6%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	25	25
Picked	1	0	1
Done	0	0	0
Total	88	29	117

Error

13.5b

Counts

117 → 29

Compiler

Compiled 9024 to 6128 computations (32.1% saved)

regimes4.7s (12.9%)

Accuracy

Total 0.6b remaining (4.1%)

Threshold costs 0.6b (4.1%)

Compiler

Compiled 86644 to 64828 computations (25.2% saved)

bsearch0.0ms (0%)

simplify42.0ms (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%)

sample18.7s (50.8%)

Algorithm

1×

intervals

Results

9.5s	5311×	body	1024	valid
1.4s	1216×	body	512	valid
1.3s	400×	body	2048	valid
288.0ms	379×	body	256	valid
226.0ms	694×	body	128	valid
7.0ms	4×	body	1024	invalid
1.0ms	1×	body	256	invalid

Compiler

Compiled 7338 to 5489 computations (25.2% saved)

Details

analyze7.2s (19.6%)

sample444.0ms (1.2%)

simplify105.0ms (0.3%)

prune6.0ms (0%)

localize33.0ms (0.1%)

rewrite138.0ms (0.4%)

series426.0ms (1.2%)

simplify68.0ms (0.2%)

prune310.0ms (0.8%)

localize45.0ms (0.1%)

rewrite146.0ms (0.4%)

series558.0ms (1.5%)

simplify77.0ms (0.2%)

prune657.0ms (1.8%)

localize42.0ms (0.1%)

rewrite178.0ms (0.5%)

series645.0ms (1.8%)

simplify95.0ms (0.3%)

prune529.0ms (1.4%)

localize49.0ms (0.1%)

rewrite259.0ms (0.7%)

series648.0ms (1.8%)

simplify82.0ms (0.2%)

prune579.0ms (1.6%)

regimes4.7s (12.9%)

bsearch0.0ms (0%)

simplify42.0ms (0.1%)

end0.0ms (0%)

sample18.7s (50.8%)

Profiling