Details

Time bar (total: 9.5s)

sample14.0ms

Algorithm
intervals
Results
5.0ms300×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize4.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (* x y) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
3.0ms
(/ (* x y) z)

series20.0ms

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

simplify2.1s

Counts
24 → 24
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
048186
1111179
2383149
31786149
done5000149

prune49.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b
(/ x (/ z y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 frac-2neg clear-num associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
5.0ms
(/ x (/ z y))

series20.0ms

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

simplify1.8s

Counts
73 → 73
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0150880
1325813
2964773
33664771
done5001771

prune155.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
19×add-cbrt-cube
18×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×times-frac
5×associate-/r*
4×pow1 add-log-exp
3×pow1/3 div-inv
1×frac-2neg clear-num associate-/r/ associate-/l*
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

series643.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt x)
171.0ms
(cbrt x)
173.0ms
(cbrt x)
126.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

simplify604.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
01481278
14191209
21700877
done5001877

prune263.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b
(* x (/ y z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* x (/ y z))

series22.0ms

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

simplify3.1s

Counts
35 → 35
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
069277
1166260
2445230
31367230
43639230
done5001230

prune65.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01426
11526
done1526

end0.0ms

sample388.0ms

Algorithm
intervals
Results
186.0ms9615×body80valid