Details

analyze431.0ms

Algorithm

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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

sample44.0ms

Algorithm

intervals

Results

10.0ms	186×	body	80	valid
8.0ms	26×	body	1280	valid
5.0ms	21×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	17×	body	80	invalid
1.0ms	7×	body	160	valid
0.0ms	2×	body	160	invalid
0.0ms	1×	body	640	invalid
0.0ms	1×	body	320	invalid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

prune7.0ms

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

Merged error: 2.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.0b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_5053`
22×	`times-frac_binary64_5063`
21×	`*-un-lft-identity_binary64_5068` `add-cube-cbrt_binary64_5039`
19×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
13×	`associate-r_binary64_5127`
6×	`cbrt-undiv_binary64_5038` `associate-/r*_binary64_5131` `div-exp_binary64_5021`
5×	`pow1_binary64_5014`
4×	`associate-/l*_binary64_5132` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
3×	`add-log-exp_binary64_5033` `associate-l_binary64_5128` `div-inv_binary64_5069`
2×	`frac-2neg_binary64_5061` `clear-num_binary64_5071` `unswap-sqr_binary64_5096` `associate-*r/_binary64_5129`
1×	`pow-prod-down_binary64_4995` `associate-/l/_binary64_5134` `*-commutative_binary64_5136`

Counts

3 → 83

Calls

3 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
7.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series143.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
20.0ms	(/.f64 (sin.f64 y) y)
77.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5112	1161

prune328.0ms

Filtered

69 candidates to 92 candidates (-33.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
1.9b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac_binary64_5063`
238×	`*-un-lft-identity_binary64_5068` `add-sqr-sqrt_binary64_5053` `add-cube-cbrt_binary64_5039`
60×	`associate-/r*_binary64_5131`
23×	`div-inv_binary64_5069`
19×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
10×	`cbrt-undiv_binary64_5038` `div-exp_binary64_5021`
9×	`associate-/l*_binary64_5132`
6×	`associate-/r/_binary64_5133`
3×	`frac-2neg_binary64_5061` `add-log-exp_binary64_5033` `clear-num_binary64_5071` `pow1_binary64_5014`

Counts

3 → 293

Calls

3 calls:

6.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
12.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
20.0ms	(/.f64 (sin.f64 y) y)
77.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

simplify148.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5146	7392

prune1.2s

Filtered

256 candidates to 302 candidates (-18.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	303	5	308

Merged error: 0b

Counts

308 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.1b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log_binary64_5032`
31×	`add-cbrt-cube_binary64_5040` `add-sqr-sqrt_binary64_5053`
28×	`times-frac_binary64_5063`
26×	`-un-lft-identity_binary64_5068` `associate-r*_binary64_5127` `add-cube-cbrt_binary64_5039`
17×	`prod-exp_binary64_5019`
12×	`cbrt-unprod_binary64_5037`
10×	`pow1_binary64_5014`
8×	`div-exp_binary64_5021`
7×	`cbrt-undiv_binary64_5038`
4×	`pow-prod-down_binary64_4995` `associate-l_binary64_5128` `associate-*r/_binary64_5129`
3×	`associate-/l_binary64_5132` `associate-/r_binary64_5131` `add-log-exp_binary64_5033` `rec-exp_binary64_5020` `div-inv_binary64_5069`
2×	`unswap-sqr_binary64_5096` `*-commutative_binary64_5136`
1×	`associate-*l/_binary64_5130` `frac-2neg_binary64_5061` `clear-num_binary64_5071` `un-div-inv_binary64_5070` `frac-times_binary64_5060`

Counts

3 → 102

Calls

3 calls:

12.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
10.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

series131.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
19.0ms	(/.f64 (sin.f64 y) y)
67.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

simplify67.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5008	1433

prune330.0ms

Filtered

72 candidates to 111 candidates (-54.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	111	5	116

Merged error: 0b

Counts

116 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.2b	(/.f64 1 (/.f64 (sin.f64 y) y))
2.0b	(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

1985×	`times-frac_binary64_5063`
858×	`*-un-lft-identity_binary64_5068` `add-sqr-sqrt_binary64_5053` `add-cube-cbrt_binary64_5039`
108×	`div-inv_binary64_5069`
60×	`associate-/r*_binary64_5131`
46×	`add-exp-log_binary64_5032`
31×	`add-cbrt-cube_binary64_5040`
28×	`div-exp_binary64_5021`
19×	`associate-/l*_binary64_5132` `cbrt-undiv_binary64_5038`
16×	`associate-/r/_binary64_5133`
6×	`rec-exp_binary64_5020`
4×	`pow1_binary64_5014`
3×	`frac-2neg_binary64_5061` `add-log-exp_binary64_5033` `clear-num_binary64_5071`
1×	`associate-/l/_binary64_5134` `pow-flip_binary64_4998` `inv-pow_binary64_4990`

Counts

3 → 758

Calls

3 calls:

4.0ms	(/.f64 (sin.f64 y) y)
6.0ms	(/.f64 1 (/.f64 (sin.f64 y) y))
22.0ms	(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/.f64 (sin.f64 y) y)
29.0ms	(/.f64 1 (/.f64 (sin.f64 y) y))
76.0ms	(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))

simplify292.0ms

Algorithm

egg-herbie

Counts

767 → 767

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5012	25683

prune1.8s

Filtered

451 candidates to 767 candidates (-70.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	767	0	767
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	767	5	772

Merged error: 0b

Counts

772 → 5

regimes452.0ms

Accuracy

41% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.9b

bsearch32.0ms

Steps

Iters	Range		Point
7	6706605626454503103397888	832208584102376601435504640	1.3992999450336832e+25

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	36
1	19	36

end0.0ms

sample1.3s

Algorithm

intervals

Results

316.0ms	1012×	body	1280	valid
280.0ms	5237×	body	80	valid
204.0ms	945×	body	640	valid
82.0ms	528×	body	320	valid
31.0ms	278×	body	160	valid
28.0ms	510×	body	80	invalid
11.0ms	51×	body	640	invalid
9.0ms	58×	body	320	invalid
4.0ms	34×	body	160	invalid
3.0ms	9×	body	1280	invalid

Details

analyze431.0ms

sample44.0ms

simplify144.0ms

prune7.0ms

localize10.0ms

rewrite21.0ms

series143.0ms

simplify57.0ms

prune328.0ms

localize19.0ms

rewrite40.0ms

series163.0ms

simplify148.0ms

prune1.2s

localize12.0ms

rewrite30.0ms

series131.0ms

simplify67.0ms

prune330.0ms

localize12.0ms

rewrite114.0ms

series125.0ms

simplify292.0ms

prune1.8s

regimes452.0ms

bsearch32.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling