Details

Time bar (total: 11.7s)

sample59.0ms

Algorithm
intervals
Results
28.0ms325×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
089
1169
2427
31455
410015
done50005

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 1 expressions with local error:

5.2b
(/ (* 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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
19.0ms
(/ (* y x) z)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (* y x) z)

simplify1.0s

Counts
26 → 26
Iterations

Useful iterations: done (1.0s)

IterNodesCost
052198
1125191
2642165
done5001161

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ z (* x y)))
5.3b
(/ z (* x y))

rewrite54.0ms

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×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 81
Calls
2 calls:
31.0ms
(/ 1 (/ z (* x y)))
17.0ms
(/ z (* x y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 1 (/ z (* x y)))
45.0ms
(/ z (* x y))

simplify1.2s

Counts
87 → 87
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0122894
1295763
21418699
done5002693

prune428.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (* x y))
0.6b
(/ 1 (* z (/ 1 (* x y))))
5.2b
(* z (/ 1 (* x y)))

rewrite492.0ms

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×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u 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 → 116
Calls
3 calls:
26.0ms
(/ 1 (* x y))
399.0ms
(/ 1 (* z (/ 1 (* x y))))
59.0ms
(* z (/ 1 (* x y)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ 1 (* x y))
53.0ms
(/ 1 (* z (/ 1 (* x y))))
38.0ms
(* z (/ 1 (* x y)))

simplify1.6s

Counts
125 → 125
Iterations

Useful iterations: 2 (421.0ms)

IterNodesCost
01371201
1382889
21949712
done5002712

prune537.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

6.7b
(/ x (/ z y))

rewrite25.0ms

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 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
18.0ms
(/ x (/ z y))

series41.0ms

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

simplify1.5s

Counts
75 → 75
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0152892
1376841
21698789
done5001783

prune511.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes516.0ms

Accuracy

-11.8% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 5.4b

bsearch112.0ms

Steps
ItersRangePoint
8
2.491858156509873e+212
1.4926534888236817e+217
1.3216605535766137e+217
8
1.317840848655984e-99
1.1510917287776486e-95
1.6218775689393483e-99

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01323
11719
done1719

end0.0ms

sample1.6s

Algorithm
intervals
Results
755.0ms9642×body80valid