Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	240×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	160	valid

simplify305.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ x y) y) x)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `add-log-exp`
9×	`sum-log` `distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 32

Calls

2 calls:

25.0ms	(+ (+ x y) y)
106.0ms	(+ (+ (+ x y) y) x)

series52.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (+ x y) y)
28.0ms	(+ (+ (+ x y) y) x)

simplify67.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	151	153
1	528	140
2	2966	126
3	5002	122

prune60.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`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 → 105

Calls

4 calls:

122.0ms	(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
14.0ms	(cbrt (+ (+ x y) y))
16.0ms	(cbrt (+ (+ x y) y))
14.0ms	(cbrt (+ (+ x y) y))

series543.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
125.0ms	(cbrt (+ (+ x y) y))
125.0ms	(cbrt (+ (+ x y) y))
129.0ms	(cbrt (+ (+ x y) y))

simplify126.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	281	989
1	875	938
2	4114	827
3	5003	822

prune275.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* (+ y y) 2) (+ x y))
26.0b	(/ (* (* (+ y y) 2) (+ x y)) (+ y y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
13×	`add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `flip-+`
12×	`times-frac` `associate-/r*`
8×	`frac-times` `associate-/l/`
7×	`pow1` `distribute-lft-out`
6×	`distribute-rgt-out` `prod-exp` `cbrt-unprod`
4×	`associate-r/` `associate-r*`
3×	`cbrt-undiv` `div-exp` `pow-prod-down`
2×	`distribute-lft1-in` `count-2` `distribute-rgt1-in` `associate-/r/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-l` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

2 → 80

Calls

2 calls:

41.0ms	(* (* (+ y y) 2) (+ x y))
47.0ms	(/ (* (* (+ y y) 2) (+ x y)) (+ y y))

series60.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (* (+ y y) 2) (+ x y))
24.0ms	(/ (* (* (+ y y) 2) (+ x y)) (+ y y))

simplify160.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	463	573
1	3366	418
2	5002	403

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ y y) (+ x y))
0.2b	(/ 1 (/ (/ (+ y y) (+ x y)) (* 4 y)))
5.4b	(/ (/ (+ y y) (+ x y)) (* 4 y))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

780×	`times-frac`
530×	`*-un-lft-identity`
302×	`add-sqr-sqrt` `add-cube-cbrt`
172×	`distribute-lft-out`
87×	`distribute-rgt-out`
69×	`associate-/l*`
63×	`associate-/r*`
61×	`add-exp-log`
35×	`div-exp` `add-cbrt-cube`
29×	`distribute-lft1-in` `count-2` `distribute-rgt1-in`
18×	`cbrt-undiv`
15×	`associate-/r/`
13×	`div-inv`
8×	`flip3-+` `prod-exp` `flip-+`
5×	`rec-exp` `1-exp`
4×	`pow1` `cbrt-unprod`
3×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 476

Calls

3 calls:

26.0ms	(/ (+ y y) (+ x y))
44.0ms	(/ 1 (/ (/ (+ y y) (+ x y)) (* 4 y)))
41.0ms	(/ (/ (+ y y) (+ x y)) (* 4 y))

series115.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (+ y y) (+ x y))
23.0ms	(/ 1 (/ (/ (+ y y) (+ x y)) (* 4 y)))
45.0ms	(/ (/ (+ y y) (+ x y)) (* 4 y))

simplify70.0ms

Algorithm

egg-herbie

Counts

485 → 485

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1312	4393
1	5001	3708

prune708.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample416.0ms

Algorithm

intervals

Results

158.0ms	7427×	body	80	valid
15.0ms	170×	body	1280	valid
14.0ms	189×	body	640	valid
6.0ms	118×	body	320	valid
4.0ms	41×	body	2560	valid
3.0ms	74×	body	160	valid