Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	237×	body	80	valid
1.0ms	10×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	83	7
1	83	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	(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- x y) 2.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ x (/ (- x y) 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4977	157
1	4977	157

prune33.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	4	17

Merged error: 0.1b

Counts

17 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x 1.5) (* y 0.5))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- (* x 1.5) (* y 0.5))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(- (* x 1.5) (* y 0.5))

simplify31.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5131	155

prune23.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

21.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (+ x (/ (- x y) 2.0)))
10.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
43.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
43.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5025	1561

prune203.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

9.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (+ x (/ (- x y) 2.0)))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify28.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5139	864

prune245.0ms

Filtered

60 candidates to 68 candidates (-13.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	67	8	75

Merged error: 0.0b

Counts

75 → 8

regimes238.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample419.0ms

Algorithm

intervals

Results

164.0ms	7394×	body	80	valid
21.0ms	225×	body	1280	valid
11.0ms	152×	body	640	valid
11.0ms	97×	body	2560	valid
6.0ms	92×	body	320	valid
2.0ms	41×	body	160	valid

Details

sample15.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series5.0ms

simplify58.0ms

prune33.0ms

localize5.0ms

rewrite4.0ms

series5.0ms

simplify31.0ms

prune23.0ms

localize9.0ms

rewrite51.0ms

series173.0ms

simplify54.0ms

prune203.0ms

localize14.0ms

rewrite39.0ms

series166.0ms

simplify28.0ms

prune245.0ms

regimes238.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample419.0ms

Profiling