Details

Time bar (total: 2.7s)

sample21.0ms

Algorithm
intervals
Results
8.0ms281×body80valid
1.0ms9×body640valid
1.0ms8×body320valid
1.0ms4×body1280valid
0.0ms6×body160valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0216
1486
21606
34216
49846
519566
633906
750016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(* (- y x) 6.0)
0.6b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×sub-neg difference-of-squares
4×distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
10.0ms
(- (/ 2.0 3.0) z)
5.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
10.0ms
(* (- y x) 6.0)
38.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series157.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
64.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
29.0ms
(* (- y x) 6.0)
46.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify60.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0435616
12060564
25001564

prune209.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
8×associate-+r+ flip3-- associate-*l* flip-- add-log-exp
7×add-cube-cbrt associate-*r*
5×difference-of-squares
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*l/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 97
Calls
4 calls:
10.0ms
(- (/ 2.0 3.0) z)
6.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
28.0ms
(* 6.0 (- (/ 2.0 3.0) z))
37.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
61.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
37.0ms
(* 6.0 (- (/ 2.0 3.0) z))
45.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437708
11830652
25001652

prune221.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
0.0b
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* (- z) 6.0)))
0.2b
(* (- y x) (* (- z) 6.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity associate-*l/
5×associate-*l*
4×add-cube-cbrt associate-+r+ flip3-+ frac-add sum-log flip-+
3×distribute-lft-neg-out flip3-- pow-prod-down prod-exp distribute-rgt-neg-out flip-- cbrt-unprod
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in
1×associate-+l+ associate-*r* unsub-neg *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 57
Calls
3 calls:
3.0ms
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
12.0ms
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* (- z) 6.0)))
14.0ms
(* (- y x) (* (- z) 6.0))

series137.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
66.0ms
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* (- z) 6.0)))
32.0ms
(* (- y x) (* (- z) 6.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0427654
11857608
25003606

prune176.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 4.0 y) (* 3.0 x))
0.0b
(+ (- (* 4.0 y) (* 3.0 x)) (* (- y x) (* (- z) 6.0)))
0.2b
(* (- y x) (* (- z) 6.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt flip3-- *-un-lft-identity associate-*l/ flip--
5×associate-*l*
4×add-cube-cbrt frac-add
3×distribute-lft-neg-out pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×sub-neg associate-+l+ diff-log sum-log
1×+-commutative associate-+l- flip3-+ associate-*r* unsub-neg *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 56
Calls
3 calls:
2.0ms
(- (* 4.0 y) (* 3.0 x))
13.0ms
(+ (- (* 4.0 y) (* 3.0 x)) (* (- y x) (* (- z) 6.0)))
15.0ms
(* (- y x) (* (- z) 6.0))

series129.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (* 4.0 y) (* 3.0 x))
57.0ms
(+ (- (* 4.0 y) (* 3.0 x)) (* (- y x) (* (- z) 6.0)))
35.0ms
(* (- y x) (* (- z) 6.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0414546
11744511
25001509

prune174.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1298
2338
3338

end0.0ms

sample632.0ms

Algorithm
intervals
Results
306.0ms9457×body80valid
33.0ms256×body640valid
28.0ms151×body1280valid
17.0ms186×body320valid
9.0ms134×body160valid