Details

analyze32.0ms

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

sample12.0ms

Algorithm

intervals

Results

5.0ms	241×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	309	7
1	309	7

prune2.0ms

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

localize4.0ms

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))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5347	155

prune22.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 0.0b

Counts

17 → 6

localize4.0ms

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))

simplify39.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5135	142

prune15.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	14	6	20

Merged error: 0.0b

Counts

20 → 6

localize10.0ms

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

rewrite52.0ms

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:

22.0ms	(*.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)))

series123.0ms

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))))
29.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
28.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
31.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify36.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4905	1628
1	4905	1628

prune88.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize11.0ms

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))))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.6b	(cbrt.f64 (/.f64 -3/2 (/.f64 -1 x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

76×	`cbrt-prod_binary64`
67×	`*-un-lft-identity_binary64`
66×	`times-frac_binary64`
57×	`add-sqr-sqrt_binary64`
49×	`add-cube-cbrt_binary64`
17×	`cbrt-div_binary64`
11×	`pow1_binary64`
9×	`swap-sqr_binary64` `pow1/3_binary64`
8×	`flip3-+_binary64` `distribute-lft-out_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` `div-inv_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` `associate-/r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 134

Calls

4 calls:

22.0ms	(*.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)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
5.0ms	(cbrt.f64 (/.f64 -3/2 (/.f64 -1 x)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
30.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
30.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
22.0ms	(cbrt.f64 (/.f64 -3/2 (/.f64 -1 x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4911	2067
1	4911	2067

prune128.0ms

Filtered

110 candidates to 146 candidates (-32.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	143	3	146
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	143	9	152

Merged error: 0.0b

Counts

152 → 9

regimes136.0ms

Accuracy

0% (0.1b 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

sample345.0ms

Algorithm

intervals

Results

168.0ms	7433×	body	80	valid
18.0ms	205×	body	1280	valid
11.0ms	153×	body	640	valid
9.0ms	85×	body	2560	valid
5.0ms	79×	body	320	valid
2.0ms	45×	body	160	valid
0.0ms	3×	body	80	invalid

Details

analyze32.0ms

sample12.0ms

simplify14.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series6.0ms

simplify45.0ms

prune22.0ms

localize4.0ms

rewrite4.0ms

series5.0ms

simplify39.0ms

prune15.0ms

localize10.0ms

rewrite52.0ms

series123.0ms

simplify36.0ms

prune88.0ms

localize11.0ms

rewrite52.0ms

series121.0ms

simplify82.0ms

prune128.0ms

regimes136.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample345.0ms

Profiling