Details

analyze38.0ms

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

sample13.0ms

Algorithm

intervals

Results

5.0ms	233×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	6×	body	320	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	1×	body	160	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))

rewrite10.0ms

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:

10.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5347	155

prune19.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	0	0	0
Picked	0	1	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))

simplify41.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5135	142

prune13.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	14	5	19

Merged error: 0.0b

Counts

19 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(*.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)))

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:

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)))
11.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(*.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)))
30.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
28.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify35.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4905	1628
1	4905	1628

prune89.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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)))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod_binary64`
19×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 67

Calls

4 calls:

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

series173.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
30.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
27.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
73.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 6)

simplify39.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4914	990
1	4914	990

prune77.0ms

Filtered

58 candidates to 79 candidates (-36.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

regimes158.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample358.0ms

Algorithm

intervals

Results

176.0ms	7391×	body	80	valid
21.0ms	217×	body	1280	valid
12.0ms	156×	body	640	valid
11.0ms	97×	body	2560	valid
6.0ms	95×	body	320	valid
2.0ms	44×	body	160	valid

Details

analyze38.0ms

sample13.0ms

simplify14.0ms

prune2.0ms

localize4.0ms

rewrite10.0ms

series6.0ms

simplify46.0ms

prune19.0ms

localize5.0ms

rewrite4.0ms

series5.0ms

simplify41.0ms

prune13.0ms

localize9.0ms

rewrite55.0ms

series119.0ms

simplify35.0ms

prune89.0ms

localize15.0ms

rewrite40.0ms

series173.0ms

simplify39.0ms

prune77.0ms

regimes158.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample358.0ms

Profiling