Details

analyze35.0ms

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	320	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	309	7
1	309	7

prune3.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

9.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

simplify54.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5347	155

prune32.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	5	17

Merged error: 0.0b

Counts

17 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x 3/2) (.f64 y 1/2))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x 3/2) (*.f64 y 1/2))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(-.f64 (*.f64 x 3/2) (*.f64 y 1/2))

simplify42.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5135	142

prune30.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	13	6	19

Merged error: 0.0b

Counts

19 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
27.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
27.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
28.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify37.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4905	1628
1	4905	1628

prune135.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6))
1.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)
1.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)
1.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod_binary64`
40×	`unpow-prod-down_binary64`
28×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow-unpow_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`pow-pow_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `sqr-pow_binary64` `add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 97

Calls

4 calls:

14.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6))
11.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)
12.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)
12.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)

series246.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6))
70.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)
72.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)
70.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)

simplify56.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5017	1526

prune144.0ms

Filtered

64 candidates to 109 candidates (-70.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

regimes216.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample351.0ms

Algorithm

intervals

Results

167.0ms	7402×	body	80	valid
25.0ms	240×	body	1280	valid
11.0ms	146×	body	640	valid
9.0ms	79×	body	2560	valid
5.0ms	87×	body	320	valid
2.0ms	46×	body	160	valid
0.0ms	2×	body	80	invalid

Details

analyze35.0ms

sample14.0ms

simplify15.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series5.0ms

simplify54.0ms

prune32.0ms

localize5.0ms

rewrite4.0ms

series5.0ms

simplify42.0ms

prune30.0ms

localize9.0ms

rewrite55.0ms

series116.0ms

simplify37.0ms

prune135.0ms

localize18.0ms

rewrite53.0ms

series246.0ms

simplify56.0ms

prune144.0ms

regimes216.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample351.0ms

Profiling