Details

Time bar (total: 4.9s)

sample33.0ms

Algorithm
intervals
Results
18.0ms294×body80valid
2.0ms11×body640valid
1.0ms9×body320valid
1.0ms3×body1280valid
0.0ms4×body160valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize12.0ms

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))

rewrite61.0ms

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)
9.0ms
(* (- y x) 6.0)
7.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series156.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
28.0ms
(* (- y x) 6.0)
61.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
48.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify61.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0435616
12060564
25001564

prune212.0ms

Pruning

5 alts after pruning (5 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
(* 6.0 (- (/ 2.0 3.0) z))
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite83.0ms

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)
27.0ms
(* 6.0 (- (/ 2.0 3.0) z))
6.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
37.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
36.0ms
(* 6.0 (- (/ 2.0 3.0) z))
62.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
43.0ms
(* (- 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

prune201.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
0.2b
(* (* (- y x) 6.0) (- z))
0.4b
(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
19×associate-*l*
18×*-un-lft-identity
16×pow1 add-cube-cbrt
14×associate-*r*
11×associate-*l/
10×prod-exp cbrt-unprod
9×times-frac
7×pow-prod-down
6×add-log-exp
4×flip3-- flip--
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative
2×cbrt-undiv frac-times associate-*r/ div-exp
1×+-commutative neg-mul-1 flip3-+ sum-log distribute-rgt-neg-out flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
9.0ms
(* (- y x) 6.0)
3.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
15.0ms
(* (* (- y x) 6.0) (- z))
17.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series131.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (- y x) 6.0)
40.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
30.0ms
(* (* (- y x) 6.0) (- z))
33.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0522590
12823509
25001509

prune265.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))) (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
0.5b
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
0.5b
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
0.5b
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
13.0ms
(* (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))) (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
1.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
1.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
2.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))

series1.6s

Counts
4 → 12
Calls
4 calls:
405.0ms
(* (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))) (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
392.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
405.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
395.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))

simplify119.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
02701422
18951329
242191241
350011223

prune318.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes213.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample930.0ms

Algorithm
intervals
Results
583.0ms9448×body80valid
48.0ms274×body640valid
29.0ms137×body1280valid
27.0ms195×body320valid
12.0ms118×body160valid