Details

analyze1.5s (16.9%)

Algorithm

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

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample264.0ms (2.9%)

Algorithm

2×

intervals

Results

32.0ms	61×	body	2048	valid
26.0ms	88×	body	1024	valid
20.0ms	271×	body	128	valid
12.0ms	56×	body	512	valid
6.0ms	36×	body	256	valid

Compiler

Compiled 3625 to 3623 computations (0.1% saved)

simplify7.0ms (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

35.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

5.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
30.4b	(tan.f64 (/.f64 x (*.f64 y 2)))
30.4b	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite91.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

35.8b

Rules

11×	`add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
9×	`times-frac_binary64_16452`
5×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
3×	`pow1_binary64_16507` `add-log-exp_binary64_16485` `associate-/l_binary64_16391` `associate-/r_binary64_16390`
2×	`tan-quot_binary64_16605`
1×	`div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `frac-2neg_binary64_16457` `clear-num_binary64_16445` `div-inv_binary64_16443` `associate-/l/_binary64_16393`

Counts

3 → 43

Calls

3 calls:

5.0ms	(/.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)

series378.0ms (4.2%)

Error

28.3b

Counts

3 → 21

Calls

3 calls:

166.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
111.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
76.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 846 to 660 computations (22% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5006	1282

prune118.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	50	14	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	14	65

Error

28.3b

Counts

65 → 14

Compiler

Compiled 1557 to 1139 computations (26.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

28.3b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 28.3b
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

prune25.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Error

28.3b

Counts

14 → 14

Compiler

Compiled 366 to 293 computations (19.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

30.4b	(tan.f64 (/.f64 x (*.f64 y 2)))
30.4b	(sin.f64 (/.f64 x (*.f64 y 2)))
30.4b	(sin.f64 (/.f64 x (*.f64 y 2)))
30.4b	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite105.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

28.3b

Rules

4×	`pow1_binary64_16507` `add-log-exp_binary64_16485` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
1×	`tan-quot_binary64_16605`

Counts

4 → 29

Calls

4 calls:

2.0ms	(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)

series552.0ms (6.1%)

Error

28.2b

Counts

4 → 33

Calls

4 calls:

149.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
106.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
106.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
102.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 4629 to 3528 computations (23.8% saved)

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5253	778

prune240.0ms (2.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	4	8	12
Picked	1	0	1
Done	0	1	1
Total	59	17	76

Error

28.1b

Counts

76 → 17

Compiler

Compiled 3804 to 2828 computations (25.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

30.4b	(tan.f64 (/.f64 x (*.f64 y 2)))
30.4b	(sin.f64 (/.f64 x (*.f64 y 2)))
30.4b	(sin.f64 (/.f64 x (*.f64 y 2)))
30.4b	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite88.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

28.1b

Rules

4×	`pow1_binary64_16507` `add-log-exp_binary64_16485` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
1×	`tan-quot_binary64_16605`

Counts

4 → 29

Calls

4 calls:

2.0ms	(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)

series516.0ms (5.7%)

Error

28.1b

Counts

4 → 33

Calls

4 calls:

130.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
101.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
99.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
98.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 4359 to 3258 computations (25.3% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5253	778

prune171.0ms (1.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	1	14	15
Picked	0	1	1
Done	0	1	1
Total	59	20	79

Error

28.1b

Counts

79 → 20

Compiler

Compiled 2955 to 2119 computations (28.3% saved)

regimes1.1s (12%)

Accuracy

Total 2.5b remaining (8.7%)

Threshold costs 0b (0%)

Compiler

Compiled 13096 to 10414 computations (20.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	11	12

end0.0ms (0%)

sample3.7s (40.3%)

Algorithm

1×

intervals

Results

525.0ms	1126×	body	2048	valid
389.0ms	1313×	body	1024	valid
331.0ms	4268×	body	128	valid
183.0ms	827×	body	512	valid
73.0ms	464×	body	256	valid
2.0ms	2×	body	4096	valid

Compiler

Compiled 2117 to 1681 computations (20.6% saved)

Details

analyze1.5s (16.9%)

sample264.0ms (2.9%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite91.0ms (1%)

series378.0ms (4.2%)

simplify59.0ms (0.6%)

prune118.0ms (1.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune25.0ms (0.3%)

localize18.0ms (0.2%)

rewrite105.0ms (1.2%)

series552.0ms (6.1%)

simplify64.0ms (0.7%)

prune240.0ms (2.6%)

localize13.0ms (0.1%)

rewrite88.0ms (1%)

series516.0ms (5.7%)

simplify68.0ms (0.7%)

prune171.0ms (1.9%)

regimes1.1s (12%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.7s (40.3%)

Profiling