Details

Time bar (total: 24.1s)

sample30.0ms

Algorithm
intervals
Results
12.0ms314×body80valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize10.0ms

Local error

Found 1 expressions with local error:

6.5b
(* (/ y z) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
17.0ms
(* (/ y z) x)

series22.0ms

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

simplify5.6s

Counts
35 → 35
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
068261
1153256
2423224
31176224
43630224
done5000224

prune125.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

4.5b
(/ (* x y) z)

rewrite16.0ms

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:
15.0ms
(/ (* x y) z)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (* x y) z)

simplify3.1s

Counts
24 → 24
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
048186
1110179
2384149
31757149
done5000149

prune84.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ z (* x y)))
4.3b
(/ z (* x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 77
Calls
2 calls:
21.0ms
(/ 1 (/ z (* x y)))
8.0ms
(/ z (* x y))

series51.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ 1 (/ z (* x y)))
23.0ms
(/ z (* x y))

simplify3.1s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0118866
1257735
2654607
33098589
done5000589

prune210.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (* x y))
0.6b
(/ 1 (* z (/ 1 (* x y))))
4.7b
(* z (/ 1 (* x y)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log
43×prod-exp
36×div-exp
31×add-cbrt-cube
18×rec-exp 1-exp
12×add-sqr-sqrt
11×pow1
10×cbrt-undiv add-cube-cbrt *-un-lft-identity
9×times-frac cbrt-unprod
7×associate-*r*
6×associate-/l*
4×pow-flip
3×associate-*l* pow-prod-down div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/r* associate-/r/ un-div-inv inv-pow
1×*-commutative unswap-sqr
Counts
3 → 110
Calls
3 calls:
18.0ms
(/ 1 (* x y))
71.0ms
(/ 1 (* z (/ 1 (* x y))))
32.0ms
(* z (/ 1 (* x y)))

series80.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1 (* x y))
38.0ms
(/ 1 (* z (/ 1 (* x y))))
28.0ms
(* z (/ 1 (* x y)))

simplify4.6s

Counts
119 → 119
Iterations

Useful iterations: 2 (229.0ms)

IterNodesCost
01311153
1295843
2802654
34293654
done5000654

prune199.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes288.0ms

Accuracy

93.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.7b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02555
12949
done2949

end0.0ms

sample1.4s

Algorithm
intervals
Results
808.0ms9632×body80valid