Details

analyze570.0ms

Algorithm

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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify330.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (320.0ms)

Iter	Nodes	Cost
0	5219	13

prune8.0ms

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: 2.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
2.1b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_5053`
70×	`*-un-lft-identity_binary64_5068`
51×	`times-frac_binary64_5063`
31×	`associate-l_binary64_5128`
26×	`add-cube-cbrt_binary64_5039`
22×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
9×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
5×	`associate-/l_binary64_5132` `associate-/r_binary64_5131`
4×	`pow1_binary64_5014` `associate-/r/_binary64_5133`
3×	`associate-r_binary64_5127` `flip3--_binary64_5067` `flip--_binary64_5094`
2×	`associate-/l/_binary64_5134` `cbrt-undiv_binary64_5038` `add-log-exp_binary64_5033` `prod-exp_binary64_5019` `unswap-sqr_binary64_5096` `cbrt-unprod_binary64_5037` `div-exp_binary64_5021` `div-inv_binary64_5069`
1×	`pow-prod-down_binary64_4995` `associate-l/_binary64_5130` `frac-2neg_binary64_5061` `clear-num_binary64_5071` `div-sub_binary64_5062` `-commutative_binary64_5136`

Counts

2 → 102

Calls

2 calls:

14.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
12.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

series142.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
103.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

simplify126.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5182	1792

prune333.0ms

Filtered

74 candidates to 108 candidates (-45.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0.0b

Counts

109 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 z y))
0.2b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
2.1b	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64_5053`
41×	`*-un-lft-identity_binary64_5068`
32×	`times-frac_binary64_5063`
25×	`add-exp-log_binary64_5032`
24×	`associate-r_binary64_5127` `add-cube-cbrt_binary64_5039`
19×	`add-cbrt-cube_binary64_5040`
11×	`pow1_binary64_5014`
10×	`associate-*l/_binary64_5130` `prod-exp_binary64_5019`
8×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
7×	`cbrt-unprod_binary64_5037`
6×	`associate-l_binary64_5128` `flip3--_binary64_5067` `flip--_binary64_5094`
5×	`associate-/r*_binary64_5131`
4×	`pow-prod-down_binary64_4995` `associate-/r/_binary64_5133` `frac-times_binary64_5060`
3×	`associate-/l*_binary64_5132` `cbrt-undiv_binary64_5038` `add-log-exp_binary64_5033` `rec-exp_binary64_5020` `unswap-sqr_binary64_5096` `div-exp_binary64_5021`
2×	`un-div-inv_binary64_5070` `associate-r/_binary64_5129` `div-inv_binary64_5069` `-commutative_binary64_5136`
1×	`frac-2neg_binary64_5061` `clear-num_binary64_5071` `pow-flip_binary64_4998` `inv-pow_binary64_4990`

Counts

3 → 116

Calls

3 calls:

7.0ms	(/.f64 1 (-.f64 z y))
21.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
13.0ms	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

series174.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/.f64 1 (-.f64 z y))
45.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
106.0ms	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

simplify90.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5172	1583

prune341.0ms

Filtered

74 candidates to 125 candidates (-68.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	125	6	131

Merged error: 0.0b

Counts

131 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
2.1b	(.f64 (.f64 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))) t)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div_binary64_5036`
29×	`associate-*l/_binary64_5130`
22×	`add-exp-log_binary64_5032`
16×	`add-cbrt-cube_binary64_5040` `frac-times_binary64_5060`
15×	`cbrt-prod_binary64_5035` `flip3--_binary64_5067` `flip--_binary64_5094`
14×	`*-un-lft-identity_binary64_5068` `add-sqr-sqrt_binary64_5053`
13×	`pow1_binary64_5014`
11×	`prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
8×	`add-cube-cbrt_binary64_5039`
6×	`pow-prod-down_binary64_4995`
5×	`associate-*r/_binary64_5129`
4×	`add-log-exp_binary64_5033`
3×	`pow1/3_binary64_5006` `associate-r_binary64_5127` `distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
2×	`cbrt-undiv_binary64_5038` `div-exp_binary64_5021`
1×	`associate-l_binary64_5128` `*-commutative_binary64_5136`

Counts

4 → 87

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
33.0ms	(.f64 (.f64 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))) t)

series443.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt.f64 (-.f64 x y))
110.0ms	(cbrt.f64 (-.f64 x y))
109.0ms	(cbrt.f64 (-.f64 x y))
115.0ms	(.f64 (.f64 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))) t)

simplify92.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5086	1753

prune530.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x y) t)
7.8b	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_5053`
12×	`*-un-lft-identity_binary64_5068`
9×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
6×	`add-cube-cbrt_binary64_5039`
5×	`associate-/r_binary64_5131` `associate-l*_binary64_5128` `times-frac_binary64_5063`
4×	`associate-*l/_binary64_5130` `pow1_binary64_5014`
3×	`associate-r_binary64_5127` `distribute-lft-out--_binary64_5113` `flip3--_binary64_5067` `difference-of-squares_binary64_5097` `flip--_binary64_5094`
2×	`associate-/l/_binary64_5134` `cbrt-undiv_binary64_5038` `add-log-exp_binary64_5033` `associate-/r/_binary64_5133` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037` `div-exp_binary64_5021`
1×	`pow-prod-down_binary64_4995` `associate-/l_binary64_5132` `frac-2neg_binary64_5061` `clear-num_binary64_5071` `unswap-sqr_binary64_5096` `div-inv_binary64_5069` `-commutative_binary64_5136`

Counts

2 → 51

Calls

2 calls:

6.0ms	(*.f64 (-.f64 x y) t)
9.0ms	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

series100.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(*.f64 (-.f64 x y) t)
68.0ms	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

simplify62.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5205	693

prune150.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0b

Counts

63 → 7

regimes595.0ms

Accuracy

-2.5% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch53.0ms

Steps

Iters	Range	Point
7	5978619367225085/12554203470773361527671578846415332832204710888928069025792	5900171575484279/49039857307708443467467104868809893875799651909875269632	3.2326137485667516e-41
10	-8511646039653715/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144	-5385906172361465/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936	-8.349810058626823e-203

Iters

Range

Point

5978619367225085/12554203470773361527671578846415332832204710888928069025792

5900171575484279/49039857307708443467467104868809893875799651909875269632

3.2326137485667516e-41

-8511646039653715/1378913065775496824682182051857728448902028277271278088224317349054049721856053955032165000485952146958446223387833982704161766047792183079895777875237766653530662154044294980748355504146827894396365898183024673030144

-5385906172361465/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936

-8.349810058626823e-203

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	43
1	38	43

end0.0ms

sample573.0ms

Algorithm

intervals

Results

260.0ms	8000×	body	80	valid
21.0ms	620×	body	80	invalid

Details

analyze570.0ms

sample26.0ms

simplify330.0ms

prune8.0ms

localize10.0ms

rewrite31.0ms

series142.0ms

simplify126.0ms

prune333.0ms

localize13.0ms

rewrite45.0ms

series174.0ms

simplify90.0ms

prune341.0ms

localize17.0ms

rewrite46.0ms

series443.0ms

simplify92.0ms

prune530.0ms

localize10.0ms

rewrite17.0ms

series100.0ms

simplify62.0ms

prune150.0ms

regimes595.0ms

bsearch53.0ms

simplify4.0ms

end0.0ms

sample573.0ms

Profiling