Details

Time bar (total: 13.7s)

sample42.0ms

Algorithm
intervals
Results
16.0ms293×body80valid
2.0ms9×body640valid
1.0ms9×body320valid
1.0ms5×body160valid
0.0ms1×body1280valid

simplify1.7s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

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))

rewrite153.0ms

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:
18.0ms
(- (/ 2.0 3.0) z)
12.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
24.0ms
(* (- y x) 6.0)
97.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series203.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (/ 2.0 3.0) z)
76.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
35.0ms
(* (- y x) 6.0)
68.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify929.0ms

Counts
97 → 97

prune305.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite206.0ms

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:
17.0ms
(- (/ 2.0 3.0) z)
58.0ms
(* 6.0 (- (/ 2.0 3.0) z))
19.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
108.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (/ 2.0 3.0) z)
51.0ms
(* 6.0 (- (/ 2.0 3.0) z))
103.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
67.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify838.0ms

Counts
109 → 109

prune255.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.0b
(* (- y x) 6.0)
0.3b
(* (- z) (* (- y x) 6.0))
0.4b
(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*l*
26×add-sqr-sqrt
25×add-exp-log add-cbrt-cube
22×*-un-lft-identity
18×pow1 add-cube-cbrt
11×associate-*l/ prod-exp cbrt-unprod
9×times-frac
8×associate-*r* pow-prod-down
5×flip3-- flip--
4×associate-*r/ *-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×cbrt-undiv frac-times div-exp distribute-lft-out-- difference-of-squares unswap-sqr
1×distribute-lft-neg-out neg-mul-1 div-inv
Counts
4 → 109
Calls
4 calls:
32.0ms
(* (- y x) 6.0)
37.0ms
(* (- y x) 6.0)
53.0ms
(* (- z) (* (- y x) 6.0))
64.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series157.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (- y x) 6.0)
32.0ms
(* (- y x) 6.0)
55.0ms
(* (- z) (* (- y x) 6.0))
33.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify759.0ms

Counts
121 → 121

prune317.0ms

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

rewrite52.0ms

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:
38.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
3.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
3.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
3.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

series2.8s

Counts
4 → 12
Calls
4 calls:
1.0s
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
596.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
552.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
604.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify882.0ms

Counts
99 → 99

prune446.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.8s

end0.0ms

sample1.2s

Algorithm
intervals
Results
663.0ms9440×body80valid
46.0ms263×body640valid
29.0ms198×body320valid
28.0ms132×body1280valid
10.0ms106×body160valid