Details

Time bar (total: 12.5s)

sample31.0ms

Algorithm
intervals
Results
14.0ms308×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5027
51745
4352
396
238
116
08

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize7.0ms

Local error

Found 1 expressions with local error:

5.8b
(* y (/ x z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative insert-posit16 div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
21.0ms
(* y (/ x z))

series23.0ms

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

simplify1.5s

Counts
36 → 36
Iterations
IterNodes
done5009
32312
2548
1174
071

prune180.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.8b
(/ (* x y) z)

rewrite11.0ms

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 insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 22
Calls
1 calls:
11.0ms
(/ (* x y) z)

series32.0ms

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

simplify1.9s

Counts
25 → 25
Iterations
IterNodes
done5022
32230
2448
1120
049

prune113.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
4.9b
(/ (* x y) (* (cbrt z) (cbrt z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
38×times-frac
34×add-exp-log
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
24×cbrt-prod
21×add-cbrt-cube
13×cbrt-undiv div-exp
9×div-inv
8×prod-exp cbrt-unprod
7×associate-/r*
6×associate-/l*
4×pow1 insert-posit16 add-log-exp
2×clear-num frac-2neg pow1/3
1×associate-/l/
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
44.0ms
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
32.0ms
(/ (* x y) (* (cbrt z) (cbrt z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
690.0ms
(cbrt z)
288.0ms
(cbrt z)
70.0ms
(/ (/ (* x y) (* (cbrt z) (cbrt z))) (cbrt z))
209.0ms
(/ (* x y) (* (cbrt z) (cbrt z)))

simplify1.2s

Counts
121 → 121
Iterations
IterNodes
done5006
21590
1420
0157

prune519.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (/ z (* x y)))
5.6b
(/ z (* x y))

rewrite28.0ms

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 insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 79
Calls
2 calls:
17.0ms
(/ 1 (/ z (* x y)))
9.0ms
(/ z (* x y))

series70.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1 (/ z (* x y)))
25.0ms
(/ z (* x y))

simplify2.4s

Counts
85 → 85
Iterations
IterNodes
done5082
33980
2816
1280
0120

prune281.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes338.0ms

Accuracy

90.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.9b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done26
126
023

end0.0ms

sample1.1s

Algorithm
intervals
Results
750.0ms9505×body80valid