Details

Time bar (total: 18.0s)

sample62.0ms

Algorithm
intervals
Results
22.0ms302×body80valid
3.0ms9×body640valid
2.0ms8×body320valid
1.0ms4×body1280valid
0.0ms3×body160valid

simplify1.9s

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

localize26.0ms

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))

rewrite146.0ms

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:
28.0ms
(- (/ 2.0 3.0) z)
19.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
22.0ms
(* (- y x) 6.0)
73.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series307.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ 2.0 3.0) z)
111.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
61.0ms
(* (- y x) 6.0)
100.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.0s

Counts
97 → 97
Iterations
IterNodes
done5001
22315
1450
0156

prune553.0ms

Pruning

8 alts after pruning (8 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)))

rewrite151.0ms

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:
19.0ms
(- (/ 2.0 3.0) z)
54.0ms
(* 6.0 (- (/ 2.0 3.0) z))
12.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
63.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (/ 2.0 3.0) z)
64.0ms
(* 6.0 (- (/ 2.0 3.0) z))
101.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
73.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.6s

Counts
109 → 109
Iterations
IterNodes
done5002
21827
1463
0163

prune682.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) 6.0)
0.2b
(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
0.3b
(* (* (- y x) 6.0) (- 0.6666666666666666 z))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube associate-*l/ add-exp-log
8×associate-*r*
7×flip3-- flip--
6×associate-*l* add-cube-cbrt
5×add-log-exp
4×distribute-rgt-in frac-times associate-+r+ sub-neg distribute-lft-in pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative sum-log flip3-+ flip-+ unswap-sqr
Counts
3 → 69
Calls
3 calls:
18.0ms
(* (- y x) 6.0)
7.0ms
(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
55.0ms
(* (* (- y x) 6.0) (- 0.6666666666666666 z))

series273.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* (- y x) 6.0)
122.0ms
(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
94.0ms
(* (* (- y x) 6.0) (- 0.6666666666666666 z))

simplify1.9s

Counts
78 → 78
Iterations
IterNodes
done5002
22127
1409
0142

prune433.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

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))))))

rewrite60.0ms

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:
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)))))
4.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
42.0ms
(* (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:
505.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
646.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
665.0ms
(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))))))

simplify1.6s

Counts
99 → 99
Iterations
IterNodes
done5000
21779
1498
0196

prune573.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s9348×body80valid
89.0ms296×body640valid
51.0ms123×body160valid
42.0ms158×body1280valid
29.0ms179×body320valid