Details

Time bar (total: 7.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
11511
22211
32511
42611
done2611

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
5.5b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
16×add-sqr-sqrt
13×times-frac
11×add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out add-log-exp
3×associate-/l*
2×pow1 associate-/r/ difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ div-inv distribute-lft-out--
Counts
2 → 48
Calls
2 calls:
16.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
8.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
71.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.8s

Counts
54 → 54
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0116913
1267865
2836811
34169808
done5000807

prune119.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.7b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
4.6b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
28×add-sqr-sqrt
26×times-frac
21×add-cube-cbrt
18×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv
1×sub-neg flip3-- pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative flip-- inv-pow
Counts
3 → 90
Calls
3 calls:
2.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
9.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
22.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series172.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
55.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
74.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify717.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
01621583
14051338
213961200
done50001200

prune175.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.4b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
98×*-un-lft-identity
75×add-sqr-sqrt
61×add-cube-cbrt
19×associate-/r*
16×add-exp-log distribute-lft-out
10×add-cbrt-cube
8×div-exp
7×div-inv associate-/l*
5×add-log-exp difference-of-squares
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip flip3-+ diff-log associate-/r/ flip-- flip-+ inv-pow
Counts
3 → 140
Calls
3 calls:
30.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
12.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
14.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series165.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
63.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
59.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify796.0ms

Counts
149 → 149
Iterations

Useful iterations: 2 (226.0ms)

IterNodesCost
02222902
15202566
215772289
done50012289

prune224.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
0.3b
(* (/ (* x y) 2.0) (/ (* x y) 2.0))
4.3b
(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
13.7b
(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log add-cbrt-cube
39×add-sqr-sqrt
37×times-frac
32×*-un-lft-identity
30×add-cube-cbrt
25×associate-*l*
17×prod-exp cbrt-unprod
14×cbrt-undiv div-exp
13×pow1
12×associate-*r*
8×difference-of-squares
7×swap-sqr
6×div-inv add-log-exp
5×sub-neg flip3-- flip--
4×distribute-rgt-in distribute-lft-in associate-/r* associate-/r/ associate--r+
3×frac-times associate-*r/ associate-/l* unswap-sqr
2×pow-prod-down associate-*l/ *-commutative
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up distribute-lft-out--
Counts
4 → 152
Calls
4 calls:
3.0ms
(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
14.0ms
(* (/ (* x y) 2.0) (/ (* x y) 2.0))
5.0ms
(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
33.0ms
(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

series335.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
44.0ms
(* (/ (* x y) 2.0) (/ (* x y) 2.0))
68.0ms
(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
138.0ms
(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

simplify1.4s

Counts
164 → 164
Iterations

Useful iterations: 2 (579.0ms)

IterNodesCost
02714153
17503787
232783335
done50013335

prune347.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11613
done1613

end0.0ms

sample347.0ms

Algorithm
intervals
Results
212.0ms7999×body80valid
0.0ms1×body640valid