Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	241×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	5×	body	160	valid
0.0ms	1×	body	320	valid

simplify308.0ms

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: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:

24.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (32.0ms)

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

prune56.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

72.0ms	(+ (+ (* 2 (+ x y)) x) z)
19.0ms	(+ (* 2 (+ x y)) x)

series56.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (+ (* 2 (+ x y)) x) z)
32.0ms	(+ (* 2 (+ x y)) x)

simplify77.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	165	183
1	588	174
2	2960	170
3	5001	170

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 2 (+ x y)) (* 2 (+ x y)))
0.0b	(- (* 2 (+ x y)) x)
13.5b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
30.4b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

rewrite328.0ms

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:

60.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
15.0ms	(- (* 2 (+ x y)) x)
75.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
174.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

series164.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
24.0ms	(- (* 2 (+ x y)) x)
29.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
92.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

simplify85.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (74.0ms)

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

prune248.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

13.5b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
13.5b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
30.3b	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))
30.3b	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

8×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate--l+` `sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 66

Calls

4 calls:

75.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
75.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
103.0ms	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))
106.0ms	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))

series564.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
28.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
253.0ms	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))
247.0ms	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))

simplify35.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	189	802
1	731	736
2	5001	720

prune252.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

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	12	4
1	12	4

end0.0ms

sample419.0ms

Algorithm

intervals

Results

160.0ms	7376×	body	80	valid
15.0ms	170×	body	1280	valid
14.0ms	194×	body	640	valid
8.0ms	147×	body	320	valid
5.0ms	43×	body	2560	valid
3.0ms	84×	body	160	valid