Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
9.0ms320×body80valid
1.0ms5×body1280valid
1.0ms5×body640valid
0.0ms5×body320valid
0.0ms1×body160valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0216
1486
21606
34216
49846
519566
633906
750016

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

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

rewrite66.0ms

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:
11.0ms
(- (/ 2.0 3.0) z)
6.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
12.0ms
(* (- y x) 6.0)
35.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series176.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ 2.0 3.0) z)
67.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
32.0ms
(* (- y x) 6.0)
43.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0435616
12060564
25001564

prune209.0ms

Filtered
97 candidates to 67 candidates (69.1%)
Pruning

8 alts after pruning (8 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
(* 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)))

rewrite87.0ms

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)
30.0ms
(* 6.0 (- (/ 2.0 3.0) z))
7.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
36.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series164.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
39.0ms
(* 6.0 (- (/ 2.0 3.0) z))
64.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
42.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437708
11830652
25001652

prune213.0ms

Filtered
109 candidates to 69 candidates (63.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×add-exp-log add-cbrt-cube
24×associate-*l*
22×*-un-lft-identity
18×pow1 add-cube-cbrt
17×associate-*r*
13×associate-*l/
11×prod-exp cbrt-unprod
9×times-frac
8×pow-prod-down
5×flip3-- flip--
4×*-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×cbrt-undiv frac-times associate-*r/ div-exp distribute-lft-out-- difference-of-squares unswap-sqr
1×neg-mul-1 distribute-rgt-neg-out div-inv
Counts
4 → 109
Calls
4 calls:
10.0ms
(* (- y x) 6.0)
10.0ms
(* (- y x) 6.0)
19.0ms
(* (* (- y x) 6.0) (- z))
18.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series121.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (- y x) 6.0)
28.0ms
(* (- y x) 6.0)
34.0ms
(* (* (- y x) 6.0) (- z))
31.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0466577
12582488
25003488

prune261.0ms

Filtered
121 candidates to 80 candidates (66.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (/ 2.0 3.0) (- y x)) 6.0))
0.1b
(* (* (/ 2.0 3.0) (- y x)) 6.0)
0.3b
(* (/ 2.0 3.0) (- y x))
0.3b
(* (* (- y x) 6.0) (- z))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-sqr-sqrt add-cbrt-cube
18×*-un-lft-identity associate-*r*
16×pow1 add-cube-cbrt
15×associate-*l*
11×associate-*l/
10×times-frac prod-exp cbrt-unprod
7×pow-prod-down
6×add-log-exp
5×flip3-- flip--
4×frac-times associate-*r/
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp unswap-sqr
1×+-commutative neg-mul-1 flip3-+ sum-log distribute-rgt-neg-out flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 106
Calls
4 calls:
2.0ms
(+ x (* (* (/ 2.0 3.0) (- y x)) 6.0))
21.0ms
(* (* (/ 2.0 3.0) (- y x)) 6.0)
15.0ms
(* (/ 2.0 3.0) (- y x))
16.0ms
(* (* (- y x) 6.0) (- z))

series135.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ x (* (* (/ 2.0 3.0) (- y x)) 6.0))
30.0ms
(* (* (/ 2.0 3.0) (- y x)) 6.0)
30.0ms
(* (/ 2.0 3.0) (- y x))
35.0ms
(* (* (- y x) 6.0) (- z))

simplify65.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0564643
12596560
25001560

prune249.0ms

Filtered
118 candidates to 81 candidates (68.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes109.0ms

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

sample537.0ms

Algorithm
intervals
Results
265.0ms9309×body80valid
27.0ms261×body640valid
26.0ms161×body1280valid
16.0ms205×body320valid
7.0ms125×body160valid