Details

Time bar (total: 6.1s)

sample24.0ms

Algorithm
intervals
Results
9.0ms299×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize6.0ms

Local error

Found 1 expressions with local error:

4.3b
(/ (* x y) z)

rewrite15.0ms

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:
14.0ms
(/ (* x y) z)

series31.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (* x y) z)

simplify674.0ms

Counts
24 → 24
Iterations

Useful iterations: done (673.0ms)

IterNodesCost
048186
1119179
2627155
done5000149

prune67.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ z (* x y)))
4.3b
(/ z (* x y))

rewrite47.0ms

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:
30.0ms
(/ 1 (/ z (* x y)))
12.0ms
(/ z (* x y))

series64.0ms

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

simplify777.0ms

Counts
83 → 83
Iterations

Useful iterations: done (775.0ms)

IterNodesCost
0118866
1295735
21522671
done5002665

prune114.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (* z (/ 1 (* x y))))
0.4b
(/ 1 (* x y))
4.3b
(* z (/ 1 (* x y)))

rewrite113.0ms

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:
62.0ms
(/ 1 (* z (/ 1 (* x y))))
12.0ms
(/ 1 (* x y))
33.0ms
(* z (/ 1 (* x y)))

series76.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ 1 (* z (/ 1 (* x y))))
17.0ms
(/ 1 (* x y))
29.0ms
(* z (/ 1 (* x y)))

simplify966.0ms

Counts
119 → 119
Iterations

Useful iterations: done (963.0ms)

IterNodesCost
01311153
1377849
21962670
done5000668

prune165.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ z (* x y))
11.0b
(cbrt (/ z (* x y)))
11.0b
(cbrt (/ z (* x y)))
11.0b
(cbrt (/ z (* x y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 69
Calls
4 calls:
11.0ms
(/ z (* x y))
12.0ms
(cbrt (/ z (* x y)))
7.0ms
(cbrt (/ z (* x y)))
7.0ms
(cbrt (/ z (* x y)))

series376.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ z (* x y))
117.0ms
(cbrt (/ z (* x y)))
113.0ms
(cbrt (/ z (* x y)))
112.0ms
(cbrt (/ z (* x y)))

simplify1.4s

Counts
81 → 81
Iterations

Useful iterations: done (1.4s)

IterNodesCost
089803
1174782
2520689
32547671
done5000659

prune231.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes167.0ms

Accuracy

68.4% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 6.3b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01838
12038
done2038

end0.0ms

sample679.0ms

Algorithm
intervals
Results
295.0ms9557×body80valid