Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

288×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	15	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* y z))

rewrite3.0ms

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 (* y z))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(- x (* y z))

simplify59.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	73	58
1	209	53
2	643	53
3	1599	53
4	5001	53

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* (* y z) (+ (* y z) x)) (* x x))
2.1b	(- (pow x 3) (pow (* y z) 3))
2.6b	(* (* y z) (+ (* y z) x))
38.4b	(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
40×	`difference-of-squares`
39×	`times-frac`
33×	`*-un-lft-identity`
30×	`sqr-pow`
23×	`add-cube-cbrt`
13×	`associate-/l*`
11×	`add-exp-log` `add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
9×	`pow1`
8×	`add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
3×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 129

Calls

4 calls:

9.0ms	(+ (* (* y z) (+ (* y z) x)) (* x x))
9.0ms	(- (pow x 3) (pow (* y z) 3))
8.0ms	(* (* y z) (+ (* y z) x))
19.0ms	(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* (* y z) (+ (* y z) x)) (* x x))
145.0ms	(- (pow x 3) (pow (* y z) 3))
33.0ms	(* (* y z) (+ (* y z) x))
124.0ms	(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

simplify107.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	562	1917
1	3023	1833
2	5002	1831

prune361.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* y z) (+ (* y z) x))
28.1b	(sqrt (+ (* (* y z) (+ (* y z) x)) (* x x)))
28.1b	(sqrt (+ (* (* y z) (+ (* y z) x)) (* x x)))
28.1b	(/ (+ (* (* y z) (+ (* y z) x)) (pow x 2)) (sqrt (+ (* (* y z) (+ (* y z) x)) (* x x))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sqrt-div` `associate-/r*`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 95

Calls

4 calls:

8.0ms	(* (* y z) (+ (* y z) x))
8.0ms	(sqrt (+ (* (* y z) (+ (* y z) x)) (* x x)))
8.0ms	(sqrt (+ (* (* y z) (+ (* y z) x)) (* x x)))
20.0ms	(/ (+ (* (* y z) (+ (* y z) x)) (pow x 2)) (sqrt (+ (* (* y z) (+ (* y z) x)) (* x x))))

series219.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* y z) (+ (* y z) x))
64.0ms	(sqrt (+ (* (* y z) (+ (* y z) x)) (* x x)))
59.0ms	(sqrt (+ (* (* y z) (+ (* y z) x)) (* x x)))
65.0ms	(/ (+ (* (* y z) (+ (* y z) x)) (pow x 2)) (sqrt (+ (* (* y z) (+ (* y z) x)) (* x x))))

simplify71.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	377	1498
1	1933	1260
2	5002	1248

prune312.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample328.0ms

Algorithm

intervals

Results

151.0ms

9096×

body

valid