Details

Time bar (total: 27.0s)

sample39.0ms

Algorithm
intervals
Results
19.0ms282×body80valid
1.0ms12×body320valid
1.0ms7×body1280valid
1.0ms8×body640valid
0.0ms2×body160valid

simplify13.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

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))

rewrite180.0ms

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)
24.0ms
(* (- y x) 6.0)
26.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
108.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series198.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ 2.0 3.0) z)
42.0ms
(* (- y x) 6.0)
76.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
52.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.1s

Counts
97 → 97
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01561335
14341273
217951163
done50011157

prune274.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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:
21.0ms
(- (/ 2.0 3.0) z)
20.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
86.0ms
(* (- (/ 2.0 3.0) z) 6.0)
139.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series238.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- (/ 2.0 3.0) z)
94.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
52.0ms
(* (- (/ 2.0 3.0) z) 6.0)
66.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify849.0ms

Counts
89 → 89
Iterations

Useful iterations: done (846.0ms)

IterNodesCost
01481272
13961220
214801102
done50021096

prune299.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))
0.2b
(* (- z) (* (- y x) 6.0))
0.3b
(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
18×*-un-lft-identity
17×associate-*r*
16×pow1 add-cube-cbrt associate-*l*
10×associate-*l/ 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 associate-*r/ *-commutative
2×cbrt-undiv frac-times div-exp
1×+-commutative distribute-lft-neg-out neg-mul-1 flip3-+ sum-log flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
36.0ms
(* (- y x) 6.0)
11.0ms
(+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))
46.0ms
(* (- z) (* (- y x) 6.0))
75.0ms
(* (* (- y x) 6.0) (/ 2.0 3.0))

series227.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (- y x) 6.0)
62.0ms
(+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))
70.0ms
(* (- z) (* (- y x) 6.0))
43.0ms
(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify1.8s

Counts
110 → 110
Iterations

Useful iterations: 2 (471.0ms)

IterNodesCost
01811291
14971208
222781046
done50011046

prune440.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))) (cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))))
0.6b
(cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))))
0.6b
(cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))))
0.6b
(cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))))

rewrite94.0ms

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:
62.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))) (cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))))
6.0ms
(cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))))
5.0ms
(cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))))
15.0ms
(cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))))

series2.5s

Counts
4 → 12
Calls
4 calls:
622.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))) (cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))))
606.0ms
(cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))))
644.0ms
(cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))))
583.0ms
(cbrt (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))))

simplify2.4s

Counts
99 → 99
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01302793
12702586
27712412
328262157
done50012099

prune494.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes404.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify15.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01420
12120
22520
33220
done3220

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s9429×body80valid
59.0ms261×body640valid
41.0ms142×body1280valid
33.0ms198×body320valid
13.0ms124×body160valid