Details

Time bar (total: 12.4s)

sample40.0ms

Algorithm
intervals
Results
17.0ms312×body80valid

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done5001
41017
3146
242
116
08

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize6.0ms

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:
8.0ms
(/ (* x y) z)

series22.0ms

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

simplify735.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2624
1119
048

prune104.0ms

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))

rewrite21.0ms

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:
12.0ms
(/ 1 (/ z (* x y)))
6.0ms
(/ z (* x y))

series54.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1 (/ z (* x y)))
27.0ms
(/ z (* x y))

simplify761.0ms

Counts
83 → 83
Iterations
IterNodes
done5000
21523
1295
0118

prune387.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize23.0ms

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)))

rewrite55.0ms

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)
15.0ms
(* (cbrt z) (cbrt z))
18.0ms
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
12.0ms
(/ (* x y) (* (cbrt z) (cbrt z)))

series881.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt z)
337.0ms
(* (cbrt z) (cbrt z))
61.0ms
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
189.0ms
(/ (* x y) (* (cbrt z) (cbrt z)))

simplify1.6s

Counts
146 → 146
Iterations
IterNodes
done5001
23226
1489
0183

prune698.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ x (/ z y))

rewrite18.0ms

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:
13.0ms
(/ x (/ z y))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ x (/ z y))

simplify933.0ms

Counts
73 → 73
Iterations
IterNodes
done5000
21641
1374
0150

prune356.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes436.0ms

Accuracy

4.5% (5.9b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 6.2b

bsearch175.0ms

Steps
ItersRangePoint
9
1.6333114181404754e+114
1.6448176769835785e+121
1.2194421468439988e+120
8
9.883467276077987e-197
2.409485290673719e-192
8.4476804615401e-193
6
-2.158320545277844e-247
-5.2250047511351406e-248
-1.9981538016287333e-247
9
-5.1049866764017725e-219
-2.269236330710186e-224
-5.456893094179094e-222

simplify3.1s

Iterations
IterNodes
done5000
154923
142035
131307
12579
11391
10203
9150
897
776
660
547
441
338
232
128
021

end0.0ms

sample976.0ms

Algorithm
intervals
Results
459.0ms9540×body80valid