Details

Time bar (total: 5.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms293×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1149
2219
3249
4259
done259

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ (* x y) 2.0) (/ z 8.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity add-log-exp
difference-of-squares
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log frac-sub add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 16
Calls
1 calls:
12.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify1.1s

Counts
19 → 19
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
049283
1116278
2294260
3824258
42906258
done5001258

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ (* x y) 2.0) (/ z 8.0))) (cbrt (- (/ (* x y) 2.0) (/ z 8.0))))
0.5b
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
0.5b
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
0.5b
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
33×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 flip3-- swap-sqr frac-sub flip--
frac-times pow1/3 associate-*r* associate-*l* distribute-lft-out--
times-frac
add-exp-log
add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ associate-*l/
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
83.0ms
(* (cbrt (- (/ (* x y) 2.0) (/ z 8.0))) (cbrt (- (/ (* x y) 2.0) (/ z 8.0))))
12.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
10.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
10.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))

series806.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (cbrt (- (/ (* x y) 2.0) (/ z 8.0))) (cbrt (- (/ (* x y) 2.0) (/ z 8.0))))
196.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
197.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
196.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))

simplify1.2s

Counts
129 → 129
Iterations

Useful iterations: 3 (491.0ms)

IterNodesCost
01823269
13583086
29882940
330932675
done50002675

prune373.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
0.5b
(cbrt (+ (/ (* x y) 2.0) (/ z 8.0)))
2.6b
(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* (/ z 8.0) (/ z 8.0)))
27.1b
(cbrt (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* (/ z 8.0) (/ z 8.0))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
19×frac-sub
17×cbrt-div
14×cbrt-prod
12×add-sqr-sqrt frac-times associate-*r/ associate-*l/
11×*-un-lft-identity
add-cube-cbrt
add-log-exp
pow1 add-exp-log add-cbrt-cube difference-of-squares
flip3-- pow1/3 flip--
sub-neg flip3-+ times-frac diff-log frac-add flip-+ distribute-lft-out distribute-lft-out--
Counts
4 → 77
Calls
4 calls:
10.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
13.0ms
(cbrt (+ (/ (* x y) 2.0) (/ z 8.0)))
11.0ms
(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* (/ z 8.0) (/ z 8.0)))
12.0ms
(cbrt (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* (/ z 8.0) (/ z 8.0))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (- (/ (* x y) 2.0) (/ z 8.0)))
186.0ms
(cbrt (+ (/ (* x y) 2.0) (/ z 8.0)))
95.0ms
(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* (/ z 8.0) (/ z 8.0)))
132.0ms
(cbrt (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* (/ z 8.0) (/ z 8.0))))

simplify528.0ms

Counts
89 → 89
Iterations

Useful iterations: done (524.0ms)

IterNodesCost
02262129
14952037
213981860
done50021856

prune339.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes130.0ms

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
099
1109
done109

end0.0ms

sample418.0ms

Algorithm
intervals
Results
232.0ms9085×body80valid
0.0msbody320valid