Details

Time bar (total: 18.0s)

sample40.0ms

Algorithm
intervals
Results
16.0ms304×body80valid
1.0ms7×body640valid
1.0ms4×body1280valid
1.0ms7×body320valid
1.0ms6×body160valid

simplify1.8s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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))

rewrite181.0ms

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:
23.0ms
(- (/ 2.0 3.0) z)
33.0ms
(* (- y x) 6.0)
12.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
108.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series210.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ 2.0 3.0) z)
43.0ms
(* (- y x) 6.0)
72.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
67.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify880.0ms

Counts
97 → 97

prune269.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite214.0ms

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:
30.0ms
(- (/ 2.0 3.0) z)
82.0ms
(* 6.0 (- (/ 2.0 3.0) z))
21.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
75.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
53.0ms
(* 6.0 (- (/ 2.0 3.0) z))
89.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
73.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify753.0ms

Counts
109 → 109

prune247.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)))))

rewrite58.0ms

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:
46.0ms
(* (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)))))

series3.1s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
645.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
637.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
625.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify673.0ms

Counts
99 → 99

prune541.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
36×cbrt-div
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 swap-sqr associate-*r* associate-*l* flip-+ unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 110
Calls
4 calls:
39.0ms
(* (cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))) (cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))))
4.0ms
(cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
4.0ms
(cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
4.0ms
(cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

series3.0s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))) (cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))))
642.0ms
(cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
606.0ms
(cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
615.0ms
(cbrt (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

simplify927.0ms

Counts
122 → 122

prune717.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0b

regimes384.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.3s

end0.0ms

sample1.4s

Algorithm
intervals
Results
742.0ms9477×body80valid
66.0ms150×body1280valid
52.0ms251×body640valid
29.0ms179×body320valid
12.0ms100×body160valid