Details

analyze1.0s (11.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	40
1	24	40
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample82.0ms (0.9%)

Algorithm

1×

intervals

Results

23.0ms	52×	body	1024	valid
20.0ms	32×	body	2048	valid
12.0ms	130×	body	128	valid
10.0ms	31×	body	512	valid
3.0ms	11×	body	256	valid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	20
1	14	20

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

37.4b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

7.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
30.1b	(tan.f64 (/.f64 x (*.f64 y 2)))
30.3b	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite128.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

37.4b

Rules

11×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
9×	`times-frac_binary64_16793`
5×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
3×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `associate-/l_binary64_16732` `associate-/r_binary64_16731`
2×	`tan-quot_binary64_16946`
1×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `associate-/l/_binary64_16734`

Counts

3 → 43

Calls

3 calls:

9.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 1017 to 747 computations (26.5% saved)

series343.0ms (3.9%)

Error

27.5b

Counts

3 → 21

Calls

3 calls:

131.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
115.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
63.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 846 to 660 computations (22% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5006	1282

prune112.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	49	15	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	15	65

Error

27.5b

Counts

65 → 15

Compiler

Compiled 1525 to 1117 computations (26.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

27.5b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 27.5b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune19.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Error

27.5b

Counts

15 → 15

Compiler

Compiled 334 to 271 computations (18.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

30.1b	(tan.f64 (/.f64 x (*.f64 y 2)))
30.3b	(sin.f64 (/.f64 x (*.f64 y 2)))
30.3b	(sin.f64 (/.f64 x (*.f64 y 2)))
30.3b	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite103.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

27.5b

Rules

4×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
1×	`tan-quot_binary64_16946`

Counts

4 → 29

Calls

4 calls:

4.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 1566 to 1178 computations (24.8% saved)

series472.0ms (5.4%)

Error

27.4b

Counts

4 → 33

Calls

4 calls:

109.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
97.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
97.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
76.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 4629 to 3528 computations (23.8% saved)

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5253	778

prune252.0ms (2.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	3	10	13
Picked	1	0	1
Done	0	1	1
Total	59	18	77

Error

27.4b

Counts

77 → 18

Compiler

Compiled 3744 to 2784 computations (25.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

30.1b	(tan.f64 (/.f64 x (*.f64 y 2)))
30.3b	(sin.f64 (/.f64 x (*.f64 y 2)))
30.3b	(sin.f64 (/.f64 x (*.f64 y 2)))
30.3b	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite99.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

27.4b

Rules

4×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
1×	`tan-quot_binary64_16946`

Counts

4 → 29

Calls

4 calls:

3.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 1479 to 1091 computations (26.2% saved)

series501.0ms (5.8%)

Error

27.4b

Counts

4 → 33

Calls

4 calls:

128.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
108.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
93.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
88.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 4359 to 3258 computations (25.3% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5253	778

prune183.0ms (2.1%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	1	15	16
Picked	0	1	1
Done	0	1	1
Total	58	22	80

Error

27.4b

Counts

80 → 22

Compiler

Compiled 2955 to 2119 computations (28.3% saved)

regimes842.0ms (9.7%)

Accuracy

Total 2.4b remaining (8.5%)

Threshold costs 0b (0%)

Compiler

Compiled 9341 to 7438 computations (20.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	1
1	3	1

end0.0ms (0%)

sample4.3s (49%)

Algorithm

1×

intervals

Results

644.0ms	1106×	body	2048	valid
531.0ms	1322×	body	1024	valid
401.0ms	4325×	body	128	valid
239.0ms	808×	body	512	valid
89.0ms	437×	body	256	valid
2.0ms	2×	body	4096	valid

Compiler

Compiled 1906 to 1521 computations (20.2% saved)

Details

analyze1.0s (11.6%)

sample82.0ms (0.9%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite128.0ms (1.5%)

series343.0ms (3.9%)

simplify66.0ms (0.8%)

prune112.0ms (1.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune19.0ms (0.2%)

localize16.0ms (0.2%)

rewrite103.0ms (1.2%)

series472.0ms (5.4%)

simplify78.0ms (0.9%)

prune252.0ms (2.9%)

localize21.0ms (0.2%)

rewrite99.0ms (1.1%)

series501.0ms (5.8%)

simplify86.0ms (1%)

prune183.0ms (2.1%)

regimes842.0ms (9.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.3s (49%)

Profiling