Details

Time bar (total: 6.8s)

sample24.0ms

Algorithm
intervals
Results
10.0ms310×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done16
416
315
212
18
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize6.0ms

Local error

Found 1 expressions with local error:

5.4b
(/ (* 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:
7.0ms
(/ (* x y) z)

series29.0ms

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

simplify793.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2624
1119
048

prune131.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.5b
(* (* x y) (/ 1 z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×add-cbrt-cube associate-*r*
12×prod-exp
9×times-frac
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×associate-*l* associate-*r/ un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
19.0ms
(* (* x y) (/ 1 z))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* (* x y) (/ 1 z))

simplify1.1s

Counts
41 → 41
Iterations
IterNodes
done5002
21592
1248
083

prune123.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ z (* x y)))
5.3b
(/ 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))

series52.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ 1 (/ z (* x y)))
23.0ms
(/ z (* x y))

simplify824.0ms

Counts
83 → 83
Iterations
IterNodes
done5000
21523
1295
0118

prune326.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ z (* x y))
13.6b
(cbrt (/ z (* x y)))
13.6b
(cbrt (/ z (* x y)))
13.6b
(cbrt (/ z (* x y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
9×add-cbrt-cube add-exp-log
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod
Counts
4 → 69
Calls
4 calls:
6.0ms
(/ z (* x y))
3.0ms
(cbrt (/ z (* x y)))
3.0ms
(cbrt (/ z (* x y)))
4.0ms
(cbrt (/ z (* x y)))

series295.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ z (* x y))
89.0ms
(cbrt (/ z (* x y)))
91.0ms
(cbrt (/ z (* x y)))
93.0ms
(cbrt (/ z (* x y)))

simplify1.5s

Counts
81 → 81
Iterations
IterNodes
done5000
32600
2532
1179
091

prune515.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes427.0ms

Accuracy

85.5% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done30
130
025

end0.0ms

sample540.0ms

Algorithm
intervals
Results
247.0ms9606×body80valid