Details

Time bar (total: 8.3s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify13.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b
(+ 1.0 (/ (* x y) 2.0))
6.0b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
20×add-sqr-sqrt
16×times-frac
15×add-cube-cbrt
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-/r*
5×distribute-lft-out
4×pow1 associate-/l*
3×cbrt-undiv div-exp
2×frac-2neg flip3-+ clear-num associate-/r/ flip-+ div-inv difference-of-squares
1×+-commutative sub-neg flip3-- diff-log prod-exp sum-log flip-- cbrt-unprod distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
4.0ms
(/ (* x y) 2.0)
20.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
4.0ms
(+ 1.0 (/ (* x y) 2.0))
8.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* x y) 2.0)
38.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
37.0ms
(+ 1.0 (/ (* x y) 2.0))
77.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify836.0ms

Counts
93 → 93
Iterations

Useful iterations: done (833.0ms)

IterNodesCost
01621272
13751196
211221112
done50001108

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b
(+ 1.0 (/ (* x y) 2.0))
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.0b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
101×*-un-lft-identity
76×add-sqr-sqrt
62×add-cube-cbrt
19×associate-/r*
17×add-exp-log distribute-lft-out
11×add-cbrt-cube
8×div-exp add-log-exp
7×div-inv associate-/l*
5×pow1 difference-of-squares
4×cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/ distribute-lft-out--
1×+-commutative sub-neg flip3-- pow-flip diff-log sum-log associate-/r/ flip-- inv-pow
Counts
4 → 152
Calls
4 calls:
27.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
4.0ms
(+ 1.0 (/ (* x y) 2.0))
12.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
14.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series211.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
38.0ms
(+ 1.0 (/ (* x y) 2.0))
71.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
57.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify2.3s

Counts
164 → 164
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
02323075
15492732
212692441
338252413
done50012413

prune277.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
0.0b
(+ (/ 1.0 y) (* 0.5 x))
0.1b
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
11×add-cube-cbrt times-frac
7×add-exp-log add-log-exp
5×add-cbrt-cube
4×pow1
3×associate-/r* associate-/l* difference-of-squares
2×flip3-+ div-exp associate-/r/ flip-+ div-inv distribute-lft-out--
1×cbrt-undiv +-commutative sub-neg rec-exp flip3-- pow-flip frac-2neg diff-log 1-exp clear-num sum-log flip-- inv-pow
Counts
3 → 61
Calls
3 calls:
24.0ms
(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
8.0ms
(+ (/ 1.0 y) (* 0.5 x))
13.0ms
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
45.0ms
(+ (/ 1.0 y) (* 0.5 x))
59.0ms
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

simplify1.5s

Counts
70 → 70
Iterations

Useful iterations: 3 (625.0ms)

IterNodesCost
01281097
13071010
2805936
32416930
done5000930

prune132.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))
0.1b
(* (+ (/ 1.0 y) (* 0.5 x)) (+ (/ 1.0 y) (* 0.5 x)))
0.4b
(/ 1 (* (+ (/ 1.0 y) (* 0.5 x)) (+ (/ 1.0 y) (* 0.5 x))))
21.0b
(/ (- (* x x) (/ 1 (* (+ (/ 1.0 y) (* 0.5 x)) (+ (/ 1.0 y) (* 0.5 x))))) (+ x (/ 1 (+ (/ 1.0 y) (* 0.5 x)))))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
54×times-frac
45×add-sqr-sqrt
31×add-cube-cbrt
23×add-exp-log
20×pow1
18×difference-of-squares
15×add-cbrt-cube
14×flip3-+ flip-+ distribute-lft-out
12×associate-/r/ associate-/l*
10×div-inv
9×associate-/r*
8×frac-times
7×pow-flip div-exp
4×cbrt-undiv associate-*r/ associate-*l/ prod-exp add-log-exp
3×rec-exp frac-2neg 1-exp swap-sqr associate-*r* associate-*l* clear-num
2×pow2 pow-plus pow-prod-down pow-sqr pow-prod-up cbrt-unprod associate-/l/ inv-pow
1×distribute-rgt-in flip3-- distribute-lft-in div-sub *-commutative flip-- unswap-sqr
Counts
4 → 166
Calls
4 calls:
13.0ms
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))
50.0ms
(* (+ (/ 1.0 y) (* 0.5 x)) (+ (/ 1.0 y) (* 0.5 x)))
28.0ms
(/ 1 (* (+ (/ 1.0 y) (* 0.5 x)) (+ (/ 1.0 y) (* 0.5 x))))
86.0ms
(/ (- (* x x) (/ 1 (* (+ (/ 1.0 y) (* 0.5 x)) (+ (/ 1.0 y) (* 0.5 x))))) (+ x (/ 1 (+ (/ 1.0 y) (* 0.5 x)))))

series274.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))
53.0ms
(* (+ (/ 1.0 y) (* 0.5 x)) (+ (/ 1.0 y) (* 0.5 x)))
73.0ms
(/ 1 (* (+ (/ 1.0 y) (* 0.5 x)) (+ (/ 1.0 y) (* 0.5 x))))
87.0ms
(/ (- (* x x) (/ 1 (* (+ (/ 1.0 y) (* 0.5 x)) (+ (/ 1.0 y) (* 0.5 x))))) (+ x (/ 1 (+ (/ 1.0 y) (* 0.5 x)))))

simplify965.0ms

Counts
178 → 178
Iterations

Useful iterations: done (958.0ms)

IterNodesCost
02805220
17304886
224324517
done50014516

prune368.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
done1111

end0.0ms

sample371.0ms

Algorithm
intervals
Results
228.0ms7999×body80valid
0.0ms1×body1280valid