Details

Time bar (total: 9.6s)

sample31.0ms

Algorithm
intervals
Results
12.0ms301×body80valid

simplify55.0ms

Counts
1 → 1
Iterations
IterNodes
done72
572
468
346
224
111
07

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize8.0ms

Local error

Found 1 expressions with local error:

3.4b
(* x (- 1.0 (* y z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
14.0ms
(* x (- 1.0 (* y z)))

series83.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(* x (- 1.0 (* y z)))

simplify1.5s

Counts
27 → 27
Iterations
IterNodes
done5002
32577
2535
1132
051

prune125.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(* (cbrt x) (- 1.0 (* y z)))
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×*-un-lft-identity pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
29.0ms
(* (cbrt x) (- 1.0 (* y z)))
51.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt x)
333.0ms
(cbrt x)
297.0ms
(* (cbrt x) (- 1.0 (* y z)))
122.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify1.5s

Counts
94 → 94
Iterations
IterNodes
done5001
22055
1325
0110

prune441.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* z x) (- y)))
6.2b
(* (* z x) (- y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
1×+-commutative neg-mul-1 sum-log flip3-+ associate-*l* unsub-neg *-commutative flip-+
Counts
2 → 39
Calls
2 calls:
13.0ms
(+ (* x 1.0) (* (* z x) (- y)))
35.0ms
(* (* z x) (- y))

series175.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(+ (* x 1.0) (* (* z x) (- y)))
64.0ms
(* (* z x) (- y))

simplify1.4s

Counts
45 → 45
Iterations
IterNodes
done5001
21845
1252
081

prune217.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* z (* (- x) y)))
6.7b
(* z (* (- x) y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×distribute-lft-neg-out add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp distribute-rgt-neg-out add-cube-cbrt cbrt-unprod
1×+-commutative sum-log flip3-+ associate-*r* unsub-neg *-commutative flip-+
Counts
2 → 32
Calls
2 calls:
7.0ms
(+ (* x 1.0) (* z (* (- x) y)))
17.0ms
(* z (* (- x) y))

series186.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(+ (* x 1.0) (* z (* (- x) y)))
61.0ms
(* z (* (- x) y))

simplify672.0ms

Counts
38 → 38
Iterations
IterNodes
done5000
2963
1196
067

prune152.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes698.0ms

Accuracy

93.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify6.0ms

Iterations
IterNodes
done40
340
233
129
018

end0.0ms

sample944.0ms

Algorithm
intervals
Results
400.0ms9602×body80valid