Details

Time bar (total: 17.7s)

sample39.0ms

Algorithm
intervals
Results
13.0ms284×body80valid
2.0ms10×body640valid
1.0ms10×body320valid
1.0ms5×body1280valid
0.0ms4×body160valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5003
62115
5992
4474
3157
247
121
012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

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))

rewrite127.0ms

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:
22.0ms
(- (/ 2.0 3.0) z)
19.0ms
(* (- y x) 6.0)
14.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
70.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series175.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (/ 2.0 3.0) z)
32.0ms
(* (- y x) 6.0)
70.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
49.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.4s

Counts
97 → 97
Iterations
IterNodes
done5000
21629
1450
0156

prune529.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite152.0ms

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:
27.0ms
(- (/ 2.0 3.0) z)
50.0ms
(* 6.0 (- (/ 2.0 3.0) z))
14.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
56.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (/ 2.0 3.0) z)
54.0ms
(* 6.0 (- (/ 2.0 3.0) z))
100.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
67.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.6s

Counts
109 → 109
Iterations
IterNodes
done5010
21675
1463
0163

prune547.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite85.0ms

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:
17.0ms
(* (- y x) 6.0)
9.0ms
(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
57.0ms
(* (* (- y x) 6.0) (- 0.6666666666666666 z))

series152.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- y x) 6.0)
68.0ms
(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
49.0ms
(* (* (- y x) 6.0) (- 0.6666666666666666 z))

simplify1.3s

Counts
78 → 78
Iterations
IterNodes
done5008
21480
1409
0142

prune328.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

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)))))

rewrite36.0ms

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:
27.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
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)))))

series2.7s

Counts
4 → 12
Calls
4 calls:
996.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
524.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
562.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
636.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify3.1s

Counts
99 → 99
Iterations
IterNodes
done5000
34822
21290
1495
0196

prune699.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes442.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.7s

Algorithm
intervals
Results
942.0ms9377×body80valid
100.0ms276×body640valid
95.0ms122×body160valid
36.0ms138×body1280valid
32.0ms203×body320valid