Details

Time bar (total: 26.6s)

sample67.0ms

Algorithm
intervals
Results
34.0ms313×body80valid
2.0ms10×body320valid
1.0ms5×body640valid
1.0ms2×body1280valid
0.0ms2×body160valid

simplify14.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
12113
24813
316013
442113
591413
6161213
7256413
8365013
9463313
10496713
done500013

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize22.0ms

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))

rewrite202.0ms

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:
19.0ms
(- (/ 2.0 3.0) z)
14.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
42.0ms
(* (- y x) 6.0)
124.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series250.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (/ 2.0 3.0) z)
104.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
53.0ms
(* (- y x) 6.0)
71.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.2s

Counts
97 → 97
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01561335
14341273
217951163
done50021157

prune271.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log associate-*l* add-cbrt-cube
10×associate-*l/
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
5×difference-of-squares
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 77
Calls
4 calls:
34.0ms
(- (/ 2.0 3.0) z)
22.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
90.0ms
(* (- (/ 2.0 3.0) z) 6.0)
121.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series241.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (/ 2.0 3.0) z)
86.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
66.0ms
(* (- (/ 2.0 3.0) z) 6.0)
65.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify1.1s

Counts
89 → 89
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01481272
13961220
214801102
done50021096

prune323.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (- y x) (/ (* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0) (+ (/ 2.0 3.0) z))))
0.1b
(* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0)
0.1b
(* (- y x) (/ (* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0) (+ (/ 2.0 3.0) z)))
7.9b
(/ (* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0) (+ (/ 2.0 3.0) z))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×*-un-lft-identity
17×add-sqr-sqrt
13×associate-*r*
11×add-cube-cbrt
9×associate-*l*
8×pow1 times-frac
6×associate-*l/ prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv flip3-- div-exp associate-/r* associate-/r/ flip--
3×flip3-+ flip-+ distribute-lft-out
2×frac-times pow-prod-down *-commutative div-inv associate-/l/ difference-of-squares unswap-sqr
1×+-commutative frac-2neg associate-*r/ clear-num sum-log associate-/l* distribute-lft-out--
Counts
4 → 95
Calls
4 calls:
17.0ms
(+ x (* (- y x) (/ (* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0) (+ (/ 2.0 3.0) z))))
77.0ms
(* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0)
148.0ms
(* (- y x) (/ (* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0) (+ (/ 2.0 3.0) z)))
97.0ms
(/ (* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0) (+ (/ 2.0 3.0) z))

series642.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(+ x (* (- y x) (/ (* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0) (+ (/ 2.0 3.0) z))))
105.0ms
(* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0)
162.0ms
(* (- y x) (/ (* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0) (+ (/ 2.0 3.0) z)))
167.0ms
(/ (* (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)) 6.0) (+ (/ 2.0 3.0) z))

simplify2.2s

Counts
107 → 107
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01832754
15322637
224042257
done50001659

prune444.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×diff-log
1×sub-neg flip3-- associate-*r* associate--l+ sum-log *-commutative flip--
Counts
2 → 32
Calls
2 calls:
177.0ms
(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
31.0ms
(* 6.0 (* x z))

series103.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
36.0ms
(* 6.0 (* x z))

simplify2.5s

Counts
38 → 38
Iterations

Useful iterations: 3 (813.0ms)

IterNodesCost
068477
1178467
2640411
32745371
done5000371

prune94.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.3s

Algorithm
intervals
Results
713.0ms9360×body80valid
79.0ms267×body640valid
39.0ms153×body1280valid
30.0ms203×body320valid
12.0ms117×body160valid