Details

Time bar (total: 12.8s)

sample55.0ms

Algorithm
intervals
Results
24.0ms301×body80valid

simplify437.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12413
24613
37213
49313
510113
611013
714113
820313
922213
1022413
done22413

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b
(/ (* y z) 2.0)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv div-exp
sub-neg flip3-- frac-2neg diff-log associate-*l/ prod-exp clear-num frac-sub flip-- cbrt-unprod div-inv associate-/l*
Counts
2 → 34
Calls
2 calls:
13.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
11.0ms
(/ (* y z) 2.0)

series113.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
24.0ms
(/ (* y z) 2.0)

simplify2.4s

Counts
40 → 40
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
085450
1207426
2706384
33252384
done5000384

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
0.2b
(/ y (/ 2.0 z))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
add-exp-log add-cbrt-cube
div-inv
add-log-exp
cbrt-undiv div-exp associate-/l*
pow1
sub-neg flip3-- frac-2neg diff-log associate-*l/ clear-num associate-/r/ frac-sub flip--
Counts
2 → 83
Calls
2 calls:
26.0ms
(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
13.0ms
(/ y (/ 2.0 z))

series102.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
30.0ms
(/ y (/ 2.0 z))

simplify2.5s

Counts
89 → 89
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01851146
14091062
212411010
339391008
done50001008

prune325.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series911.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt y) (cbrt y))
197.0ms
(cbrt y)
241.0ms
(cbrt y)
245.0ms
(cbrt y)

simplify4.2s

Counts
85 → 85
Iterations

Useful iterations: done (4.2s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune269.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes216.0ms

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
01313
11613
done1613

end0.0ms

sample1.0s

Algorithm
intervals
Results
587.0ms9175×body80valid
0.0msbody2560valid
0.0msbody5120valid
0.0msbody640valid