Details

analyze55.0ms

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

sample17.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 x y) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_5068` `add-log-exp_binary64_5033`
3×	`distribute-lft-out_binary64_5112` `sum-log_binary64_4983`
1×	`add-cbrt-cube_binary64_5040` `flip3-+_binary64_5066` `flip-+_binary64_5093` `pow1_binary64_5014` `add-exp-log_binary64_5032` `associate-+l+_binary64_5120` `add-sqr-sqrt_binary64_5053` `add-cube-cbrt_binary64_5039` `+-commutative_binary64_5135`

Counts

1 → 15

Calls

1 calls:

10.0ms

(+.f64 (+.f64 x y) x)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(+.f64 (+.f64 x y) x)

simplify91.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5103	169

prune73.0ms

Filtered

12 candidates to 18 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.0b

Counts

19 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (+.f64 y x))) (cbrt.f64 (+.f64 x (+.f64 y x))))
0.6b	(cbrt.f64 (+.f64 x (+.f64 y x)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 y x)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 y x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64_5068`
51×	`cbrt-prod_binary64_5035`
33×	`distribute-lft-out_binary64_5112`
23×	`add-sqr-sqrt_binary64_5053`
18×	`cbrt-div_binary64_5036`
15×	`add-cube-cbrt_binary64_5039`
14×	`swap-sqr_binary64_5095`
11×	`pow1_binary64_5014`
9×	`pow1/3_binary64_5006` `flip3-+_binary64_5066` `flip-+_binary64_5093`
8×	`associate-l_binary64_5128` `associate-r_binary64_5127`
6×	`add-exp-log_binary64_5032`
4×	`add-cbrt-cube_binary64_5040` `add-log-exp_binary64_5033` `unswap-sqr_binary64_5096` `frac-times_binary64_5060`
2×	`pow-prod-down_binary64_4995` `associate-l/_binary64_5130` `pow-sqr_binary64_5101` `associate-r/_binary64_5129` `pow-prod-up_binary64_4994`
1×	`pow2_binary64_5005` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037` `pow-plus_binary64_5009` `*-commutative_binary64_5136`

Counts

4 → 105

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 y x))) (cbrt.f64 (+.f64 x (+.f64 y x))))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 y x)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 y x)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 y x)))

series816.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 y x))) (cbrt.f64 (+.f64 x (+.f64 y x))))
143.0ms	(cbrt.f64 (+.f64 x (+.f64 y x)))
143.0ms	(cbrt.f64 (+.f64 x (+.f64 y x)))
351.0ms	(cbrt.f64 (+.f64 x (+.f64 y x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5030	2259

prune369.0ms

Filtered

84 candidates to 117 candidates (-39.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0.0b

Counts

121 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 y x)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 y x)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 y x))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64_5068`
28×	`cbrt-prod_binary64_5035`
12×	`distribute-lft-out_binary64_5112`
10×	`cbrt-div_binary64_5036`
9×	`add-sqr-sqrt_binary64_5053` `add-cube-cbrt_binary64_5039`
4×	`pow1/3_binary64_5006` `add-cbrt-cube_binary64_5040` `flip3-+_binary64_5066` `flip-+_binary64_5093` `add-log-exp_binary64_5033` `pow1_binary64_5014` `add-exp-log_binary64_5032`

Counts

4 → 63

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 y x)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 y x)))
6.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 y x))))

series597.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
142.0ms	(cbrt.f64 (+.f64 x (+.f64 y x)))
143.0ms	(cbrt.f64 (+.f64 x (+.f64 y x)))
174.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 y x))))

simplify106.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4943	1310
1	4943	1310

prune247.0ms

Filtered

65 candidates to 75 candidates (-15.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	75	4	79

Merged error: 0.0b

Counts

79 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 y x) 3)
1.3b	(+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3))
2.4b	(+.f64 (.f64 x x) (.f64 y (+.f64 y x)))
40.2b	(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity_binary64_5068`
67×	`distribute-lft-out_binary64_5112`
44×	`unpow-prod-down_binary64_5003` `cube-prod_binary64_5041`
39×	`times-frac_binary64_5063`
25×	`add-sqr-sqrt_binary64_5053` `add-cube-cbrt_binary64_5039`
13×	`associate-/l*_binary64_5132`
8×	`add-log-exp_binary64_5033`
7×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
5×	`sum-cubes_binary64_5064` `flip3-+_binary64_5066` `flip-+_binary64_5093` `pow1_binary64_5014`
3×	`pow-unpow_binary64_5001` `associate-/r*_binary64_5131`
2×	`associate-/l/_binary64_5134` `associate-+r+_binary64_5119` `associate-/r/_binary64_5133` `cube-div_binary64_5042` `sum-log_binary64_4983` `+-commutative_binary64_5135`
1×	`pow-to-exp_binary64_4993` `pow-pow_binary64_4996` `cbrt-undiv_binary64_5038` `unpow3_binary64_5012` `distribute-lft-in_binary64_5110` `frac-2neg_binary64_5061` `clear-num_binary64_5071` `pow-exp_binary64_4992` `sqr-pow_binary64_5100` `rem-cube-cbrt_binary64_5044` `cube-mult_binary64_5043` `distribute-rgt-in_binary64_5111` `div-exp_binary64_5021` `div-inv_binary64_5069`

Counts

4 → 132

Calls

4 calls:

4.0ms	(pow.f64 (+.f64 y x) 3)
14.0ms	(+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3))
9.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 y x)))
20.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow.f64 (+.f64 y x) 3)
49.0ms	(+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3))
16.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 y x)))
102.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))

simplify101.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5410	4033

prune251.0ms

Filtered

81 candidates to 144 candidates (-77.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	144	4	148

Merged error: 0.0b

Counts

148 → 4

regimes207.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample309.0ms

Algorithm

intervals

Results

143.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Details

analyze55.0ms

sample17.0ms

simplify13.0ms

prune13.0ms

localize5.0ms

rewrite10.0ms

series18.0ms

simplify91.0ms

prune73.0ms

localize12.0ms

rewrite34.0ms

series816.0ms

simplify67.0ms

prune369.0ms

localize28.0ms

rewrite22.0ms

series597.0ms

simplify106.0ms

prune247.0ms

localize18.0ms

rewrite54.0ms

series191.0ms

simplify101.0ms

prune251.0ms

regimes207.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample309.0ms

Profiling