Details

Time bar (total: 11.5s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify209.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07163
115163
227163
348163
488163
5136163
6160163
7170163
8174163
done174163

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize9.0ms

Local error

Found 1 expressions with local error:

18.1b
(/ (* (* x 2.0) y) (- x y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity
5×associate-/r* times-frac
3×cbrt-undiv div-exp prod-exp add-cube-cbrt cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 clear-num frac-2neg flip3-- div-inv flip-- associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
23.0ms
(/ (* (* x 2.0) y) (- x y))

series111.0ms

Counts
1 → 3
Calls
1 calls:
111.0ms
(/ (* (* x 2.0) y) (- x y))

simplify2.5s

Counts
32 → 32
Iterations

Useful iterations: 2 (291.0ms)

IterNodesCost
0777694
12196849
28776369
done50006369

prune182.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
6.3b
(* (* x 2.0) (/ y (- x y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×associate-*r* add-cube-cbrt
16×add-cbrt-cube add-exp-log
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×flip3-- div-inv flip-- add-log-exp
1×clear-num frac-2neg associate-*l* associate-*r/ *-commutative
Counts
2 → 78
Calls
2 calls:
9.0ms
(/ y (- x y))
45.0ms
(* (* x 2.0) (/ y (- x y)))

series174.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ y (- x y))
111.0ms
(* (* x 2.0) (/ y (- x y)))

simplify1.7s

Counts
84 → 84
Iterations

Useful iterations: 2 (324.0ms)

IterNodesCost
011618742
132516817
2118915974
done500515974

prune316.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
6.3b
(/ (* x 2.0) (/ (- x y) y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-cbrt-cube add-exp-log
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp associate-/l/
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 96
Calls
2 calls:
21.0ms
(/ (- x y) y)
33.0ms
(/ (* x 2.0) (/ (- x y) y))

series151.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- x y) y)
109.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify2.1s

Counts
102 → 102
Iterations

Useful iterations: done (2.1s)

IterNodesCost
015125369
141523640
2136322951
done500022510

prune354.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

6.3b
(/ (* x 2.0) (- (/ x y) 1))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
16×times-frac
11×*-un-lft-identity
10×associate-/r*
8×difference-of-squares
6×add-cbrt-cube add-exp-log
4×difference-of-sqr-1
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out--
1×pow1 clear-num frac-2neg flip3-- prod-exp cbrt-unprod div-inv flip-- associate-/l* add-log-exp
Counts
1 → 37
Calls
1 calls:
29.0ms
(/ (* x 2.0) (- (/ x y) 1))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ (* x 2.0) (- (/ x y) 1))

simplify2.5s

Counts
40 → 40
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
08510048
12049053
26918973
332968813
done50488813

prune190.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

95.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.3b

bsearch72.0ms

Steps
ItersRangePoint
9
5.312512837176874e-08
0.1909160003853501
0.03126096436082479
10
-8.561827034789893e+104
-8.534009479160948e+89
-8.657886392036024e+89

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
016545
123545
done23545

end0.0ms

sample513.0ms

Algorithm
intervals
Results
352.0ms8000×body80valid