Details

Time bar (total: 9.9s)

sample39.0ms

Algorithm
intervals
Results
11.0ms300×body80valid
10.0ms11×body640valid
1.0ms6×body1280valid
1.0ms9×body320valid
0.0ms5×body160valid

simplify104.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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:
20.0ms
(- (/ 2.0 3.0) z)
13.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
26.0ms
(* (- y x) 6.0)
90.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series201.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ 2.0 3.0) z)
72.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
45.0ms
(* (- y x) 6.0)
61.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify48.0ms

Counts
97 → 97

prune204.0ms

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
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite164.0ms

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:
19.0ms
(- (/ 2.0 3.0) z)
16.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
51.0ms
(* 6.0 (- (/ 2.0 3.0) z))
75.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (/ 2.0 3.0) z)
70.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
40.0ms
(* 6.0 (- (/ 2.0 3.0) z))
49.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify38.0ms

Counts
109 → 109

prune272.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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

rewrite69.0ms

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:
45.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
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))))
10.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

series2.9s

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)))))
561.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
614.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
598.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify50.0ms

Counts
99 → 99

prune484.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
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))))
5.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
12.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

series2.8s

Counts
4 → 12
Calls
4 calls:
567.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
651.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
971.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
627.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify98.0ms

Counts
64 → 64

prune422.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes336.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify124.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
573.0ms9390×body80valid
73.0ms291×body640valid
60.0ms211×body320valid
31.0ms154×body1280valid
10.0ms122×body160valid