Details

Time bar (total: 13.6s)

sample32.0ms

Algorithm
intervals
Results
21.0ms361×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
92079
8770
7485
6383
5291
4237
3152
273
127
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.9b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×flip3-+ associate-/r/ flip-+ insert-posit16 add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 53
Calls
2 calls:
24.0ms
(* (* z z) (+ z 1.0))
20.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (* z z) (+ z 1.0))
70.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done5043
22025
1373
0114

prune232.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.5b
(/ x (* z z))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×insert-posit16 add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 110
Calls
3 calls:
13.0ms
(/ y (+ z 1.0))
46.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.0ms
(/ x (* z z))

series147.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z 1.0))
75.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
35.0ms
(/ x (* z z))

simplify1.6s

Counts
119 → 119
Iterations
IterNodes
done5002
22259
1532
0183

prune435.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.1b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.5b
(* (/ x z) (/ y (+ z 1.0)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×associate-/r* pow-prod-down associate-*l/ associate-/r/ div-inv unswap-sqr
3×insert-posit16 associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×clear-num frac-2neg
Counts
3 → 152
Calls
3 calls:
12.0ms
(/ y (+ z 1.0))
35.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
25.0ms
(* (/ x z) (/ y (+ z 1.0)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ z 1.0))
74.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
72.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.7s

Counts
161 → 161
Iterations
IterNodes
done5051
22934
1772
0260

prune505.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.1b
(/ (/ x z) z)
6.3b
(* (/ (/ x z) z) (/ y (+ z 1.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
118×add-sqr-sqrt
111×*-un-lft-identity
97×add-cube-cbrt
43×associate-*l*
31×add-cbrt-cube add-exp-log
18×associate-*r*
16×associate-/l*
13×cbrt-undiv div-exp
11×div-inv
7×associate-/r* distribute-lft-out
6×prod-exp cbrt-unprod unswap-sqr
5×pow1
4×associate-/r/
3×insert-posit16 add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
3 → 197
Calls
3 calls:
7.0ms
(/ y (+ z 1.0))
7.0ms
(/ (/ x z) z)
28.0ms
(* (/ (/ x z) z) (/ y (+ z 1.0)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
25.0ms
(/ (/ x z) z)
68.0ms
(* (/ (/ x z) z) (/ y (+ z 1.0)))

simplify1.8s

Counts
206 → 206
Iterations
IterNodes
done5001
23647
1935
0314

prune877.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

46.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done31
131
024

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s10731×body80valid