Details

Time bar (total: 10.6s)

sample48.0ms

Algorithm
intervals
Results
19.0ms303×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
089
1169
2427
31455
410015
done50005

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 1 expressions with local error:

4.5b
(/ (* y x) z)

rewrite21.0ms

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:
19.0ms
(/ (* y x) z)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ (* y x) z)

simplify704.0ms

Counts
24 → 24
Iterations

Useful iterations: done (703.0ms)

IterNodesCost
050186
1124179
2641155
done5000149

prune99.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

4.8b
(/ y (/ z x))

rewrite28.0ms

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:
20.0ms
(/ y (/ z x))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ y (/ z x))

simplify1.0s

Counts
73 → 73
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0150880
1375829
21643777
done5001771

prune258.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

4.8b
(* y (/ x z))

rewrite20.0ms

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:
18.0ms
(* y (/ x z))

series21.0ms

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

simplify2.4s

Counts
35 → 35
Iterations

Useful iterations: done (2.4s)

IterNodesCost
070277
1181264
2674234
34617234
done5002230

prune97.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.1b
(/ (/ (* y x) (* (cbrt z) (cbrt z))) (cbrt z))
2.6b
(/ (* y x) (* (cbrt z) (cbrt z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
38×times-frac
34×add-exp-log
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×cbrt-prod
21×add-cbrt-cube
13×cbrt-undiv div-exp
9×div-inv
8×prod-exp cbrt-unprod
7×associate-/r*
6×associate-/l*
4×pow1 add-log-exp
2×frac-2neg pow1/3 clear-num
1×associate-/l/
Counts
4 → 105
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
35.0ms
(/ (/ (* y x) (* (cbrt z) (cbrt z))) (cbrt z))
26.0ms
(/ (* y x) (* (cbrt z) (cbrt z)))

series843.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt z)
321.0ms
(cbrt z)
76.0ms
(/ (/ (* y x) (* (cbrt z) (cbrt z))) (cbrt z))
203.0ms
(/ (* y x) (* (cbrt z) (cbrt z)))

simplify2.1s

Counts
117 → 117
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01551699
14261633
227581174
done50011152

prune327.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes189.0ms

Accuracy

81.5% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 6.4b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02349
12649
done2649

end0.0ms

sample1.1s

Algorithm
intervals
Results
519.0ms9640×body80valid