Details

Time bar (total: 10.8s)

sample24.0ms

Algorithm
intervals
Results
11.0ms312×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
08164
116164
242124
314683
4101783
done500183

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 1 expressions with local error:

4.2b
(/ (* x y) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×pow1 clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
7.0ms
(/ (* x y) z)

series22.0ms

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

simplify929.0ms

Counts
24 → 24
Iterations

Useful iterations: done (928.0ms)

IterNodesCost
0483643
11193351
26243231
done50003111

prune103.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (/ z (* x y)))
3.9b
(/ z (* x y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×prod-exp
3×pow1 rec-exp 1-exp
2×clear-num frac-2neg cbrt-unprod add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 77
Calls
2 calls:
21.0ms
(/ 1 (/ z (* x y)))
8.0ms
(/ z (* x y))

series63.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ 1 (/ z (* x y)))
31.0ms
(/ z (* x y))

simplify899.0ms

Counts
83 → 83
Iterations

Useful iterations: done (892.0ms)

IterNodesCost
011818431
129514083
2152313923
done500013521

prune326.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))
0.8b
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
3.7b
(/ (* x y) (* (cbrt z) (cbrt z)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
38×times-frac
37×cbrt-prod
36×add-exp-log
32×*-un-lft-identity add-cube-cbrt
21×add-cbrt-cube
13×cbrt-undiv div-exp
11×pow1
9×prod-exp cbrt-unprod div-inv
7×associate-/r* pow1/3
6×swap-sqr associate-*r* associate-*l* associate-/l*
4×add-log-exp unswap-sqr
2×clear-num frac-2neg pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative associate-/l/
Counts
4 → 134
Calls
4 calls:
1.0ms
(cbrt z)
9.0ms
(* (cbrt z) (cbrt z))
27.0ms
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
19.0ms
(/ (* x y) (* (cbrt z) (cbrt z)))

series723.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(cbrt z)
258.0ms
(* (cbrt z) (cbrt z))
68.0ms
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
169.0ms
(/ (* x y) (* (cbrt z) (cbrt z)))

simplify2.3s

Counts
146 → 146
Iterations

Useful iterations: done (2.3s)

IterNodesCost
018347366
148942401
2322637520
done500136998

prune832.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ x (/ z y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 clear-num frac-2neg associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
7.0ms
(/ x (/ z y))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ x (/ z y))

simplify1.4s

Counts
73 → 73
Iterations

Useful iterations: done (1.4s)

IterNodesCost
015020967
137419583
2164118730
done500018569

prune450.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes508.0ms

Accuracy

59.3% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 6.6b

bsearch1.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
017596
121596
224596
327596
done27596

end0.0ms

sample953.0ms

Algorithm
intervals
Results
498.0ms9540×body80valid