Details

Time bar (total: 7.2s)

sample25.0ms

Algorithm
intervals
Results
10.0ms316×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4657
5917
62197
75797
816347
948567
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.4b
(/ (* x (- y z)) y)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
25.0ms
(* x (- y z))
22.0ms
(/ (* x (- y z)) y)

series135.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* x (- y z))
77.0ms
(/ (* x (- y z)) y)

simplify713.0ms

Counts
55 → 55
Iterations

Useful iterations: done (711.0ms)

IterNodesCost
090481
1236457
2976407
done5000399

prune115.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (* x z) y))
3.8b
(/ (* x z) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
2 → 35
Calls
2 calls:
12.0ms
(- x (/ (* x z) y))
15.0ms
(/ (* x z) y)

series79.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- x (/ (* x z) y))
30.0ms
(/ (* x z) y)

simplify692.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
071389
1178363
2853331
done5000331

prune127.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ y (* x z))))
0.5b
(/ 1 (/ y (* x z)))
3.7b
(/ y (* x z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
38×times-frac
29×add-exp-log
28×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
17×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv div-inv
6×associate-/l*
5×add-log-exp
4×pow1 prod-exp
3×rec-exp 1-exp difference-of-squares
2×frac-2neg clear-num cbrt-unprod distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log associate-/r/ flip-- inv-pow
Counts
3 → 94
Calls
3 calls:
20.0ms
(- x (/ 1 (/ y (* x z))))
20.0ms
(/ 1 (/ y (* x z)))
12.0ms
(/ y (* x z))

series88.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- x (/ 1 (/ y (* x z))))
27.0ms
(/ 1 (/ y (* x z)))
27.0ms
(/ y (* x z))

simplify956.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (273.0ms)

IterNodesCost
01461170
13661008
21847866
done5002866

prune145.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ x (/ y z)))
5.6b
(/ x (/ y z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
53×add-sqr-sqrt
46×*-un-lft-identity
44×add-cube-cbrt
13×associate-/r*
7×add-exp-log add-cbrt-cube
5×div-inv
4×add-log-exp
3×cbrt-undiv div-exp associate-/l* difference-of-squares
2×pow1
1×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r/ flip-- distribute-lft-out--
Counts
2 → 86
Calls
2 calls:
22.0ms
(- x (/ x (/ y z)))
9.0ms
(/ x (/ y z))

series61.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- x (/ x (/ y z)))
28.0ms
(/ x (/ y z))

simplify918.0ms

Counts
92 → 92
Iterations

Useful iterations: done (916.0ms)

IterNodesCost
01771125
14441053
21917997
done5000995

prune268.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

51.4% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 4.8b

bsearch129.0ms

Steps
ItersRangePoint
7
4.8167541412417644e+175
1.1712012132719947e+178
1.1461163295630468e+178
8
3.394150247141357e+54
1.2705026570022814e+57
3.0230890692117494e+56
9
-2.112870040738988e+102
-3.95521858538452e+96
-2.135421934910599e+97
6
-1.1106267047825454e+196
-1.9122700904232187e+195
-8.641964883760676e+195

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02655
12955
done2955

end0.0ms

sample825.0ms

Algorithm
intervals
Results
401.0ms9663×body80valid