Details

Time bar (total: 3.0s)

sample24.0ms

Algorithm
intervals
Results
8.0ms285×body80valid
1.0ms13×body640valid
1.0ms5×body1280valid
1.0ms7×body320valid
0.0ms4×body160valid

simplify119.0ms

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: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite123.0ms

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:
17.0ms
(- (/ 2.0 3.0) z)
22.0ms
(* (- y x) 6.0)
12.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
68.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series163.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
30.0ms
(* (- y x) 6.0)
65.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
47.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0435616
12060564
25001564

prune191.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

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)))

rewrite149.0ms

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:
18.0ms
(- (/ 2.0 3.0) z)
14.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
48.0ms
(* 6.0 (- (/ 2.0 3.0) z))
66.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
66.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
38.0ms
(* 6.0 (- (/ 2.0 3.0) z))
49.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0437708
11830652
25001652

prune196.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* 6.0 (- z))))
0.0b
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
0.3b
(* (- y x) (* 6.0 (- z)))

rewrite78.0ms

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/ distribute-rgt-neg-out
5×associate-*l*
4×add-cube-cbrt associate-+r+ flip3-+ frac-add sum-log flip-+
3×flip3-- pow-prod-down prod-exp 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:
32.0ms
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* 6.0 (- z))))
8.0ms
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
36.0ms
(* (- y x) (* 6.0 (- z)))

series197.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* 6.0 (- z))))
99.0ms
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
33.0ms
(* (- y x) (* 6.0 (- z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0424653
11845607
25001605

prune161.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (* (- y x) 6.0) (- z)))
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
0.3b
(* (* (- y x) 6.0) (- z))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-*l/
13×add-sqr-sqrt associate-*r*
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube add-log-exp
9×add-cube-cbrt
6×associate-*l*
4×associate-+r+ flip3-- flip3-+ pow-prod-down frac-add prod-exp sum-log flip-- cbrt-unprod flip-+
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in *-commutative
1×neg-mul-1 associate-+l+ unsub-neg distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 84
Calls
4 calls:
30.0ms
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (* (- y x) 6.0) (- z)))
22.0ms
(* (- y x) 6.0)
8.0ms
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
36.0ms
(* (* (- y x) 6.0) (- z))

series170.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (* (- y x) 6.0) (- z)))
29.0ms
(* (- y x) 6.0)
38.0ms
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
36.0ms
(* (* (- y x) 6.0) (- z))

simplify73.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0507762
12523702
25002697

prune203.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes108.0ms

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
02310
12710
23410
33410

end0.0ms

sample604.0ms

Algorithm
intervals
Results
266.0ms9257×body80valid
27.0ms267×body640valid
21.0ms168×body1280valid
14.0ms190×body320valid
6.0ms125×body160valid