Details

Time bar (total: 11.3s)

sample19.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify260.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11911
22711
34011
44711
56111
67311
710311
810811
911411
1011811
1112611
1212911
1313111
done13111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
6.1b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×flip3-+ times-frac associate-*r/ associate-*r* associate-/r* flip-+ distribute-lft-out
3×associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
21.0ms
(+ (/ x y) 1.0)
52.0ms
(* x (+ (/ x y) 1.0))
49.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series112.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (/ x y) 1.0)
36.0ms
(* x (+ (/ x y) 1.0))
57.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.7s

Counts
71 → 71
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0107848
1297815
21072709
34311705
done5001705

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
158×*-un-lft-identity
146×times-frac
72×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
26×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ associate-/l*
6×div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative sum-log
Counts
3 → 158
Calls
3 calls:
16.0ms
(+ (/ x y) 1.0)
57.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
62.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series144.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (/ x y) 1.0)
53.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
76.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.3s

Counts
167 → 167
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02113087
14842898
216782774
done50002760

prune378.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
0.1b
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
9.7b
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
11×add-cube-cbrt
9×associate-*r*
8×pow1 times-frac
6×associate-*r/ prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv flip3-- div-exp associate-/r* associate-/r/ flip-- difference-of-squares
3×distribute-rgt-in distribute-lft-in flip3-+ flip-+
2×frac-times sub-neg pow-prod-down *-commutative div-inv associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative frac-2neg associate-*l/ clear-num sum-log associate-/l* distribute-lft-out--
Counts
4 → 102
Calls
4 calls:
24.0ms
(+ (/ x y) 1.0)
66.0ms
(* x (+ (/ x y) 1.0))
126.0ms
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
41.0ms
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ (/ x y) 1.0)
38.0ms
(* x (+ (/ x y) 1.0))
101.0ms
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
81.0ms
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify1.6s

Counts
114 → 114
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01822087
15272024
222761730
done50001570

prune270.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
0.1b
(* (/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))) (- x 1.0))
0.1b
(/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0))))
9.7b
(/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))

rewrite369.0ms

Algorithm
rewrite-expression-head
Rules
94×times-frac
64×add-exp-log
56×add-sqr-sqrt
50×*-un-lft-identity
45×add-cube-cbrt
38×associate-*l*
34×add-cbrt-cube
26×div-exp
20×associate-*r/
18×prod-exp associate-/r/
12×cbrt-undiv
11×associate-/r*
10×div-inv difference-of-squares
9×pow1 flip3-+ associate-*r* flip-+
8×cbrt-unprod
7×associate-/l*
6×rec-exp 1-exp
4×add-log-exp unswap-sqr
3×distribute-rgt-in flip3-- distribute-lft-in flip--
2×frac-times sub-neg frac-2neg pow-prod-down clear-num *-commutative associate-/l/
1×pow-flip div-sub associate-*l/ distribute-lft-out distribute-lft-out-- inv-pow
Counts
4 → 194
Calls
4 calls:
62.0ms
(* x (+ (/ x y) 1.0))
174.0ms
(* (/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))) (- x 1.0))
72.0ms
(/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0))))
49.0ms
(/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* x (+ (/ x y) 1.0))
86.0ms
(* (/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))) (- x 1.0))
78.0ms
(/ 1 (/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0))))
107.0ms
(/ (- (* x x) (* 1.0 1.0)) (* x (+ (/ x y) 1.0)))

simplify1.7s

Counts
206 → 206
Iterations

Useful iterations: 2 (795.0ms)

IterNodesCost
02964647
18044255
229833711
done50003711

prune437.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.1b 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
0811
11011
done1011

end0.0ms

sample745.0ms

Algorithm
intervals
Results
467.0ms9048×body80valid