Details

Time bar (total: 11.2s)

sample26.0ms

Algorithm
intervals
Results
11.0ms303×body80valid
1.0ms12×body640valid
1.0ms7×body1280valid
0.0ms4×body320valid
0.0ms4×body160valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
12113
24713
312413
428413
564113
6119013
7209013
8344813
done500013

prune2.0ms

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))

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)))
10.0ms
(* (- y x) 6.0)
39.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series174.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (/ 2.0 3.0) z)
71.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
36.0ms
(* (- y x) 6.0)
47.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify974.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (217.0ms)

IterNodesCost
01561335
14341273
217871163
done50001163

prune239.0ms

Pruning

9 alts after pruning (9 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)))

rewrite95.0ms

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:
13.0ms
(- (/ 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))))
41.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (/ 2.0 3.0) z)
41.0ms
(* 6.0 (- (/ 2.0 3.0) z))
72.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
48.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify867.0ms

Counts
109 → 109
Iterations

Useful iterations: done (864.0ms)

IterNodesCost
01631524
14341470
214271352
done50001336

prune254.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*l/
10×flip3-- frac-add distribute-rgt-neg-out flip-- add-log-exp
8×pow1 add-exp-log *-un-lft-identity associate-*r/ add-cbrt-cube
6×add-sqr-sqrt
5×associate-*l*
4×frac-times add-cube-cbrt sum-log
3×pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+r- flip3-+ unsub-neg flip-+ distribute-lft-out
1×associate-+r+ associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 63
Calls
3 calls:
18.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (- z))))
32.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (- z)))))
16.0ms
(* (- y x) (* 6.0 (- z)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (- z))))
69.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (- z)))))
36.0ms
(* (- y x) (* 6.0 (- z)))

simplify874.0ms

Counts
72 → 72
Iterations

Useful iterations: done (871.0ms)

IterNodesCost
01651718
15951399
225281257
done50011246

prune216.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
22×associate-*r/
16×associate-*l/
11×pow1 add-exp-log add-sqr-sqrt flip3-- *-un-lft-identity add-cbrt-cube flip-- add-log-exp
10×frac-add
8×associate-*r*
7×add-cube-cbrt
4×frac-times associate-*l* pow-prod-down prod-exp sum-log cbrt-unprod
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in flip3-+ *-commutative flip-+
1×associate-+r+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
16.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (* z (- x y)) 6.0))
10.0ms
(* z (- x y))
34.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (* z (- x y)) 6.0)))
14.0ms
(* (* z (- x y)) 6.0)

series230.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (* z (- x y)) 6.0))
41.0ms
(* z (- x y))
67.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (* z (- x y)) 6.0)))
57.0ms
(* (* z (- x y)) 6.0)

simplify895.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
01921818
16531684
224711572
done50001572

prune241.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01519
12119
done2119

end0.0ms

sample566.0ms

Algorithm
intervals
Results
274.0ms9443×body80valid
30.0ms259×body640valid
26.0ms148×body1280valid
15.0ms192×body320valid
6.0ms107×body160valid