Details

Time bar (total: 9.4s)

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2289
3429
4449
done449

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize5.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ (+ x y) (* (* x 2.0) y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×times-frac associate-/l*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out
1×pow1 expm1-log1p-u frac-2neg flip3-+ clear-num associate-/r* flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
38.0ms
(/ (+ x y) (* (* x 2.0) y))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify2.4s

Counts
32 → 32
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
075426
1218411
2874333
34593333
done5000333

prune57.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (/ 0.5 y) (/ 0.5 x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
15×times-frac
13×fma-def
10×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
3×div-inv add-log-exp
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ frac-add sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 32
Calls
1 calls:
29.0ms
(+ (/ 0.5 y) (/ 0.5 x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ (/ 0.5 y) (/ 0.5 x))

simplify2.9s

Counts
35 → 35
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
048243
1124230
2306209
3897209
44235206
done5000206

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
35×*-un-lft-identity
28×times-frac
26×add-sqr-sqrt
25×add-cbrt-cube
21×add-cube-cbrt
20×prod-exp
16×div-exp associate-*r*
8×cbrt-undiv cbrt-unprod
7×associate-*l* distribute-lft-out
4×pow1 rec-exp 1-exp associate-/l*
3×associate-/r* div-inv
2×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp unswap-sqr
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 94
Calls
2 calls:
20.0ms
(/ (+ x y) y)
58.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series74.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (+ x y) y)
53.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify1.4s

Counts
100 → 100
Iterations

Useful iterations: 2 (273.0ms)

IterNodesCost
01541304
14041141
21579957
done5000957

prune149.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
184×add-exp-log
160×*-un-lft-identity
122×add-sqr-sqrt
108×add-cube-cbrt
85×div-exp
70×prod-exp
59×associate-*r*
46×add-cbrt-cube
30×rec-exp 1-exp
25×distribute-lft-out
22×associate-/r*
19×cbrt-undiv
18×associate-/r/
12×cbrt-unprod
11×pow1 div-inv
8×flip3-+ flip-+
7×associate-*l*
6×associate-/l*
5×pow-flip pow-prod-down unswap-sqr
3×expm1-log1p-u log1p-expm1-u inv-pow add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
3 → 280
Calls
3 calls:
12.0ms
(/ y (+ x y))
18.0ms
(/ 1 (/ y (+ x y)))
84.0ms
(* (/ 1 (* x 2.0)) (/ 1 (/ y (+ x y))))

series121.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ y (+ x y))
22.0ms
(/ 1 (/ y (+ x y)))
56.0ms
(* (/ 1 (* x 2.0)) (/ 1 (/ y (+ x y))))

simplify992.0ms

Counts
289 → 289
Iterations

Useful iterations: 2 (410.0ms)

IterNodesCost
03394442
18553541
223182940
done50002940

prune351.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

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
067
177
done77

end0.0ms

sample370.0ms

Algorithm
intervals
Results
183.0ms8002×body80valid