Details

Time bar (total: 12.4s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify22.0ms

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: 12.4b

localize6.0ms

Local error

Found 1 expressions with local error:

11.9b
(/ (+ x y) (* (* x 2.0) y))

rewrite34.0ms

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:
33.0ms
(/ (+ x y) (* (* x 2.0) y))

series51.0ms

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

simplify2.5s

Counts
32 → 32
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
075426
1218411
2874333
34593333
done5000333

prune58.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:
26.0ms
(+ (/ 0.5 y) (/ 0.5 x))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(+ (/ 0.5 y) (/ 0.5 x))

simplify2.8s

Counts
35 → 35
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
048243
1124230
2306209
3897209
44235206
done5000206

prune74.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x))
0.4b
(/ (sqrt 0.5) x)
0.4b
(* (/ (sqrt 0.5) 1) (+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)))
0.4b
(/ (sqrt 0.5) y)

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
107×*-un-lft-identity
89×add-sqr-sqrt
69×add-cube-cbrt
60×sqrt-prod
22×fma-def associate-*l*
20×distribute-lft-out
15×add-exp-log
13×associate-*r* add-cbrt-cube
12×associate-/l*
8×div-inv
6×pow1 associate-/r* add-log-exp
5×unswap-sqr
4×expm1-log1p-u div-exp log1p-expm1-u
3×cbrt-undiv frac-times flip3-+ associate-*r/ frac-add prod-exp flip-+
2×frac-2neg clear-num cbrt-unprod
1×+-commutative distribute-rgt-in distribute-lft-in 1-exp pow-prod-down associate-*l/ sum-log *-commutative
Counts
4 → 193
Calls
4 calls:
44.0ms
(+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x))
6.0ms
(/ (sqrt 0.5) x)
161.0ms
(* (/ (sqrt 0.5) 1) (+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)))
7.0ms
(/ (sqrt 0.5) y)

series287.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x))
49.0ms
(/ (sqrt 0.5) x)
120.0ms
(* (/ (sqrt 0.5) 1) (+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)))
46.0ms
(/ (sqrt 0.5) y)

simplify2.5s

Counts
205 → 205
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02252306
15281808
213831708
344511698
done50001696

prune383.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* x 2.0))
7.1b
(/ (/ (+ x y) (* x 2.0)) y)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out
4×associate-/r*
3×associate-/l/
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-+ flip-+
Counts
2 → 81
Calls
2 calls:
23.0ms
(/ (+ x y) (* x 2.0))
27.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series88.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (+ x y) (* x 2.0))
51.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify2.7s

Counts
87 → 87
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
01381163
13391124
210781002
346081002
done50001002

prune139.0ms

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

sample343.0ms

Algorithm
intervals
Results
175.0ms8001×body80valid