Details

Time bar (total: 3.3s)

sample18.0ms

Algorithm
intervals
Results
6.0ms357×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1123
2123
done123

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
6.0ms
(+ x (* (* y z) z))
20.0ms
(* (* y z) z)

series94.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ x (* (* y z) z))
41.0ms
(* (* y z) z)

simplify108.0ms

Counts
35 → 35
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0159140
1724123
23491123
35001122
done5001122

prune62.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

rewrite15.0ms

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:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series722.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt z) (cbrt z))
175.0ms
(cbrt z)
172.0ms
(cbrt z)
176.0ms
(cbrt z)

simplify86.0ms

Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235
done5003235

prune204.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series710.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt z)
183.0ms
(cbrt z)
176.0ms
(cbrt z)
174.0ms
(cbrt z)

simplify126.0ms

Counts
56 → 56
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136
done5002136

prune188.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (pow z 2)))
10.8b
(* y (pow z 2))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*l* prod-exp
pow1 unpow2 sqr-pow
+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
6.0ms
(+ x (* y (pow z 2)))
15.0ms
(* y (pow z 2))

series83.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ x (* y (pow z 2)))
28.0ms
(* y (pow z 2))

simplify118.0ms

Counts
44 → 44
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0171170
1624152
23136152
35001151
done5001151

prune74.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193
done93

end0.0ms

sample469.0ms

Algorithm
intervals
Results
189.0ms10666×body80valid