Details

Time bar (total: 15.8s)

sample70.0ms

Algorithm
intervals
Results
48.0ms364×body80valid

simplify88.0ms

Counts
1 → 1
Iterations
IterNodes
done106
5106
4105
389
254
126
013

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y z))
5.1b
(* (* a z) b)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*l* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
7.0ms
(+ x (* y z))
22.0ms
(* (* a z) b)

series79.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* y z))
45.0ms
(* (* a z) b)

simplify1.7s

Counts
37 → 37
Iterations
IterNodes
done5001
32759
2672
1189
069

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.4b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.8b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×add-cbrt-cube pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r*
4×insert-posit16 add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt b)
1.0ms
(cbrt b)
99.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
27.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series592.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(cbrt b)
190.0ms
(cbrt b)
56.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
137.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify3.2s

Counts
90 → 90
Iterations
IterNodes
done5000
34751
21015
1276
099

prune407.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.4b
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
3.7b
(* a (* z (* (cbrt b) (cbrt b))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r*
4×associate-*l* insert-posit16 add-log-exp
2×pow1/3 *-commutative
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt b)
1.0ms
(cbrt b)
140.0ms
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
47.0ms
(* a (* z (* (cbrt b) (cbrt b))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(cbrt b)
201.0ms
(cbrt b)
52.0ms
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
114.0ms
(* a (* z (* (cbrt b) (cbrt b))))

simplify1.6s

Counts
86 → 86
Iterations
IterNodes
done5000
21033
1275
0101

prune398.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y z))
5.6b
(* z (* a b))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
5.0ms
(+ x (* y z))
14.0ms
(* z (* a b))

series66.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ x (* y z))
35.0ms
(* z (* a b))

simplify3.3s

Counts
37 → 37
Iterations
IterNodes
done5005
44243
31813
2575
1176
067

prune206.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes517.0ms

Accuracy

17.3% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.5b

bsearch80.0ms

Steps
ItersRangePoint
9
-5.878250250977892e-161
-6.744170557953708e-166
-6.633568333968982e-165

simplify5.0ms

Iterations
IterNodes
done33
133
021

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.4s11854×body80valid