Details

Time bar (total: 4.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms293×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1139
2199
done199

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (/ x 2.0) (* y x)) z)
0.0b
(+ (/ x 2.0) (* y x))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
46.0ms
(+ (+ (/ x 2.0) (* y x)) z)
9.0ms
(+ (/ x 2.0) (* y x))

series75.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (+ (/ x 2.0) (* y x)) z)
44.0ms
(+ (/ x 2.0) (* y x))

simplify636.0ms

Counts
31 → 31
Iterations

Useful iterations: done (635.0ms)

IterNodesCost
055400
1162376
2471346
31461340
done5000336

prune67.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ z (* x (+ y 0.5)))
0.0b
(* x (+ y 0.5))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ z (* x (+ y 0.5)))
10.0ms
(* x (+ y 0.5))

series70.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ z (* x (+ y 0.5)))
38.0ms
(* x (+ y 0.5))

simplify893.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
069376
1192348
2535318
31803318
done5000318

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ y 0.5))
0.0b
(sqrt (+ z (* x (+ y 0.5))))
0.0b
(sqrt (+ z (* x (+ y 0.5))))
0.2b
(* (sqrt (+ z (* x (+ y 0.5)))) (sqrt (+ z (* x (+ y 0.5)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×sqrt-prod
23×pow1
18×*-un-lft-identity
16×add-cube-cbrt sqrt-div
10×sqrt-pow1 pow1/2 associate-*r*
9×flip3-+ associate-*l* flip-+
8×add-exp-log swap-sqr add-cbrt-cube
5×pow-prod-up unswap-sqr
4×frac-times associate-*r/ pow-prod-down add-log-exp
3×pow-sqr
2×rem-sqrt-square associate-*l/ prod-exp *-commutative cbrt-unprod
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 110
Calls
4 calls:
11.0ms
(* x (+ y 0.5))
3.0ms
(sqrt (+ z (* x (+ y 0.5))))
3.0ms
(sqrt (+ z (* x (+ y 0.5))))
17.0ms
(* (sqrt (+ z (* x (+ y 0.5)))) (sqrt (+ z (* x (+ y 0.5)))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* x (+ y 0.5))
81.0ms
(sqrt (+ z (* x (+ y 0.5))))
84.0ms
(sqrt (+ z (* x (+ y 0.5))))
36.0ms
(* (sqrt (+ z (* x (+ y 0.5)))) (sqrt (+ z (* x (+ y 0.5)))))

simplify1.7s

Counts
122 → 122
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01442142
13301521
29621407
334161363
done50011357

prune261.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample404.0ms

Algorithm
intervals
Results
221.0ms9087×body80valid
0.0ms1×body1280valid