Details

Time bar (total: 21.2s)

sample50.0ms

Algorithm
intervals
Results
19.0ms307×body80valid
3.0ms14×body640valid
1.0ms4×body320valid
1.0ms2×body1280valid
0.0ms3×body160valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5001
51693
4517
3160
248
121
012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

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))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-cbrt-cube add-exp-log
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 sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
24.0ms
(- (/ 2.0 3.0) z)
17.0ms
(* (- y x) 6.0)
10.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
88.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series298.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (/ 2.0 3.0) z)
66.0ms
(* (- y x) 6.0)
111.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
76.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.9s

Counts
97 → 97
Iterations
IterNodes
done5000
22299
1450
0156

prune424.0ms

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)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity
11×pow1 sub-neg add-cbrt-cube add-exp-log
10×associate-*r/
8×associate-+r+ flip3-- associate-*l* flip-- add-log-exp
7×associate-*r* add-cube-cbrt
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 sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 97
Calls
4 calls:
15.0ms
(- (/ 2.0 3.0) z)
44.0ms
(* 6.0 (- (/ 2.0 3.0) z))
12.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
64.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (/ 2.0 3.0) z)
54.0ms
(* 6.0 (- (/ 2.0 3.0) z))
81.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
61.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.6s

Counts
109 → 109
Iterations
IterNodes
done5002
21827
1463
0163

prune575.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
2.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
3.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
25.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

series3.4s

Counts
4 → 12
Calls
4 calls:
733.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
739.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
713.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
1.2s
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

simplify1.9s

Counts
99 → 99
Iterations
IterNodes
done5000
21781
1498
0196

prune958.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize144.0ms

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

rewrite17.0ms

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

series3.3s

Counts
4 → 12
Calls
4 calls:
1.2s
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
730.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
624.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
747.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify1.8s

Counts
64 → 64
Iterations
IterNodes
done5000
2842
1252
0102

prune620.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes590.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.2s

Algorithm
intervals
Results
739.0ms9442×body80valid
91.0ms275×body640valid
41.0ms149×body1280valid
28.0ms195×body320valid
11.0ms109×body160valid