Details

Time bar (total: 7.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms301×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2199
3219
done219

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
117.0ms
(+ (+ (/ x 2.0) (* y x)) z)
19.0ms
(+ (/ x 2.0) (* y x))

series94.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (+ (/ x 2.0) (* y x)) z)
60.0ms
(+ (/ x 2.0) (* y x))

simplify1.4s

Counts
31 → 31
Iterations

Useful iterations: done (1.4s)

IterNodesCost
055400
1163376
2536346
31813340
done5000336

prune76.0ms

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
14.0ms
(+ (* x (+ y 0.5)) z)
43.0ms
(* x (+ y 0.5))

series88.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* x (+ y 0.5)) z)
45.0ms
(* x (+ y 0.5))

simplify2.3s

Counts
42 → 42
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
070376
1196352
2590322
32513318
done5000318

prune106.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)) z)
2.9b
(* x (- (* y y) (* 0.5 0.5)))
8.6b
(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 times-frac associate-/r* add-log-exp
associate-*r/ associate-*r*
flip3-- associate-*l* flip-- difference-of-squares
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 66
Calls
3 calls:
53.0ms
(+ (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)) z)
54.0ms
(* x (- (* y y) (* 0.5 0.5)))
51.0ms
(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

series354.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(+ (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)) z)
84.0ms
(* x (- (* y y) (* 0.5 0.5)))
153.0ms
(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

simplify1.1s

Counts
75 → 75
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01391215
13751158
212411006
done5001810

prune227.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample976.0ms

Algorithm
intervals
Results
523.0ms9139×body80valid
0.0msbody640valid
0.0msbody1280valid
0.0msbody160valid