Details

Time bar (total: 14.3s)

sample20.0ms

Algorithm
intervals
Results
7.0ms303×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (/ y z) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
14.0ms
(* (/ y z) x)

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* (/ y z) x)

simplify4.1s

Counts
35 → 35
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
068261
1153256
2423224
31176224
43630224
done5000224

prune80.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.4b
(/ (* x y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
9.0ms
(/ (* x y) z)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (* x y) z)

simplify2.3s

Counts
24 → 24
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
048186
1110179
2384149
31757149
done5000149

prune48.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.8b
(/ x (/ z y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/l*
pow1 frac-2neg clear-num associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
9.0ms
(/ x (/ z y))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ x (/ z y))

simplify1.4s

Counts
73 → 73
Iterations

Useful iterations: 3 (664.0ms)

IterNodesCost
0150880
1311813
2943773
32755771
done5000771

prune181.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.8b
(/ (* x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
25×add-exp-log
22×associate-/r*
18×add-cbrt-cube
cbrt-undiv div-exp
prod-exp cbrt-unprod
pow1 add-log-exp
pow1/3 div-inv
frac-2neg clear-num associate-/r/ associate-/l*
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
29.0ms
(/ (* x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

series566.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
174.0ms
(cbrt y)
174.0ms
(cbrt y)
43.0ms
(/ (* x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

simplify712.0ms

Counts
113 → 113
Iterations

Useful iterations: done (709.0ms)

IterNodesCost
01711428
14441343
217831009
done5000897

prune263.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes188.0ms

Accuracy

79.9% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02653
13149
done3149

end0.0ms

sample538.0ms

Algorithm
intervals
Results
232.0ms9566×body80valid