Details

Time bar (total: 8.7s)

sample22.0ms

Algorithm
intervals
Results
8.0ms296×body80valid
1.0ms10×body1280valid
1.0ms11×body640valid
0.0ms3×body320valid
0.0ms3×body160valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
12113
24713
312413
428413
564113
6118913
7208913
8347013
done500013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

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

rewrite69.0ms

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)))
13.0ms
(* (- y x) 6.0)
37.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series156.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
60.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
31.0ms
(* (- y x) 6.0)
43.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify746.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (194.0ms)

IterNodesCost
01561335
14341273
217871163
done50001163

prune208.0ms

Pruning

9 alts after pruning (8 fresh and 1 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)))

rewrite89.0ms

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:
12.0ms
(- (/ 2.0 3.0) z)
7.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
29.0ms
(* 6.0 (- (/ 2.0 3.0) z))
38.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (/ 2.0 3.0) z)
59.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
39.0ms
(* 6.0 (- (/ 2.0 3.0) z))
41.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify645.0ms

Counts
109 → 109
Iterations

Useful iterations: done (642.0ms)

IterNodesCost
01631524
14341470
214271352
done50001336

prune218.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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) (* 6.0 (- z))))
0.3b
(* (- y x) (* 6.0 (- z)))

rewrite32.0ms

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:
3.0ms
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
12.0ms
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* 6.0 (- z))))
15.0ms
(* (- y x) (* 6.0 (- z)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
64.0ms
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (- y x) (* 6.0 (- z))))
32.0ms
(* (- y x) (* 6.0 (- z)))

simplify585.0ms

Counts
66 → 66
Iterations

Useful iterations: done (583.0ms)

IterNodesCost
01331399
14241277
216931143
done50011127

prune165.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 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))) (* 6.0 (* z (- x y))))
0.0b
(* z (- x y))
0.3b
(* 6.0 (* z (- x y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×distribute-rgt-in distribute-lft-in
14×associate-*r/
12×sub-neg associate-+r+
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube add-log-exp
9×*-un-lft-identity
7×add-cube-cbrt
6×associate-*r* associate-*l*
4×flip3-- flip3-+ pow-prod-down frac-add prod-exp sum-log flip-- cbrt-unprod flip-+
2×+-commutative *-commutative
1×associate-+l+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 94
Calls
4 calls:
3.0ms
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
13.0ms
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* 6.0 (* z (- x y))))
12.0ms
(* z (- x y))
13.0ms
(* 6.0 (* z (- x y)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
62.0ms
(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* 6.0 (* z (- x y))))
37.0ms
(* z (- x y))
48.0ms
(* 6.0 (* z (- x y)))

simplify531.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
01641774
14731654
216411548
done50001548

prune207.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01519
12119
done2119

end0.0ms

sample541.0ms

Algorithm
intervals
Results
262.0ms9315×body80valid
30.0ms275×body640valid
22.0ms167×body1280valid
13.0ms168×body320valid
7.0ms143×body160valid