Details

Time bar (total: 14.3s)

sample32.0ms

Algorithm
intervals
Results
13.0ms306×body80valid
1.0ms10×body640valid
1.0ms5×body1280valid
1.0ms7×body320valid
0.0ms4×body160valid

simplify2.0s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 3 expressions with local error:

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))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity associate-*l/ add-cbrt-cube
9×associate-*r*
7×flip3-- flip--
6×add-cube-cbrt associate-*l*
5×add-log-exp
4×distribute-rgt-in frac-times sub-neg associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×difference-of-squares
2×associate-*r/ *-commutative distribute-lft-out--
1×+-commutative flip3-+ times-frac sum-log flip-+ unswap-sqr
Counts
3 → 70
Calls
3 calls:
35.0ms
(* (- y x) 6.0)
18.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
114.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series199.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (- y x) 6.0)
90.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
62.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify899.0ms

Counts
79 → 79

prune176.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite459.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
15×add-sqr-sqrt
10×pow1 add-exp-log sub-neg *-un-lft-identity associate-*r/ add-cbrt-cube
8×associate-+r+ associate-*l*
7×flip3-- associate-*r* flip--
6×add-cube-cbrt
5×add-log-exp
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×difference-of-squares
2×associate-*l/ *-commutative distribute-lft-out--
1×+-commutative flip3-+ times-frac sum-log flip-+ unswap-sqr
Counts
3 → 82
Calls
3 calls:
350.0ms
(* 6.0 (- (/ 2.0 3.0) z))
16.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
88.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series228.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* 6.0 (- (/ 2.0 3.0) z))
100.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
62.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify698.0ms

Counts
91 → 91

prune188.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*l*
23×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
18×*-un-lft-identity
16×pow1 add-cube-cbrt
10×prod-exp cbrt-unprod
9×times-frac associate-*l/
7×pow-prod-down
6×add-log-exp
5×associate-*r*
4×flip3-- associate-*r/ flip--
3×distribute-lft-neg-in distribute-rgt-neg-in *-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:
29.0ms
(* (- y x) 6.0)
17.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
38.0ms
(* (- z) (* (- y x) 6.0))
57.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series217.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (- y x) 6.0)
58.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
70.0ms
(* (- z) (* (- y x) 6.0))
45.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify1.0s

Counts
110 → 110

prune299.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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:
5.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
5.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
4.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
47.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

series3.0s

Counts
4 → 12
Calls
4 calls:
568.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
659.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
693.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
1.1s
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

simplify791.0ms

Counts
99 → 99

prune389.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes272.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.9s

end0.0ms

sample1.1s

Algorithm
intervals
Results
595.0ms9384×body80valid
45.0ms280×body640valid
33.0ms162×body1280valid
24.0ms208×body320valid
10.0ms122×body160valid