Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	231×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	10×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

simplify302.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3921	4
13	5001	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

8.0ms

(+ (* 2 (+ x y)) (+ x z))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify39.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune51.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+ (* 2 (+ x y)) x)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(+ (* 2 (+ x y)) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	95	81
1	337	74
2	1582	73
3	5001	73

prune34.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	16	4	20

Merged error: 0.0b

Counts

20 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 2 (+ x y)) x))
0.5b	(cbrt (+ (* 2 (+ x y)) x))
0.5b	(cbrt (+ (* 2 (+ x y)) x))
0.5b	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
16.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))

series917.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt (+ (* 2 (+ x y)) x))
221.0ms	(cbrt (+ (* 2 (+ x y)) x))
216.0ms	(cbrt (+ (* 2 (+ x y)) x))
252.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	310	1085
1	1091	1020
2	5001	949

prune260.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 2 (+ x y)) (* 2 (+ x y)))
0.0b	(- (* 2 (+ x y)) x)
13.7b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
27.8b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
14×	`associate-*r/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`flip3-+` `associate--l+` `flip-+`
5×	`difference-of-squares`
4×	`frac-times` `flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`sub-neg` `pow-plus` `diff-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 113

Calls

4 calls:

11.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
6.0ms	(- (* 2 (+ x y)) x)
12.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
19.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

series160.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
23.0ms	(- (* 2 (+ x y)) x)
32.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
87.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

simplify86.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	516	1135
1	2849	969
2	5001	949

prune219.0ms

Filtered

125 candidates to 81 candidates (64.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	125	6	131

Merged error: 0.0b

Counts

131 → 6

regimes81.0ms

Accuracy

0% (0.0b 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	12	4
1	12	4

end0.0ms

sample430.0ms

Algorithm

intervals

Results

190.0ms	7390×	body	80	valid
24.0ms	186×	body	1280	valid
21.0ms	201×	body	640	valid
8.0ms	117×	body	320	valid
6.0ms	75×	body	160	valid
5.0ms	34×	body	2560	valid