Details

Time bar (total: 8.3s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1149
2279
3409
4419
done419

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize6.0ms

Local error

Found 1 expressions with local error:

14.3b
(/ (+ x y) (* (* x 2.0) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
*-un-lft-identity
times-frac associate-/l*
cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
associate-/l/ distribute-lft-out
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:
13.0ms
(/ (+ x y) (* (* x 2.0) y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify1.9s

Counts
32 → 32
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
075426
1225411
2869333
34446333
done5000333

prune52.0ms

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))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
15×times-frac
13×fma-def
10×add-sqr-sqrt add-cube-cbrt
distribute-lft-out
div-inv add-log-exp
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:
18.0ms
(+ (/ 0.5 y) (/ 0.5 x))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(+ (/ 0.5 y) (/ 0.5 x))

simplify1.6s

Counts
35 → 35
Iterations

Useful iterations: 4 (450.0ms)

IterNodesCost
048243
1124230
2272209
3885209
43318206
done5000206

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* x 2.0))
7.9b
(/ (/ (+ x y) (* x 2.0)) y)

rewrite26.0ms

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*
cbrt-undiv div-exp
div-inv distribute-lft-out
associate-/r*
associate-/l/
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
flip3-+ flip-+
Counts
2 → 81
Calls
2 calls:
11.0ms
(/ (+ x y) (* x 2.0))
12.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ x y) (* x 2.0))
47.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify2.6s

Counts
87 → 87
Iterations

Useful iterations: 2 (170.0ms)

IterNodesCost
01381163
13451124
211091002
349111002
done50001002

prune143.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
5.6b
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
17×*-un-lft-identity
15×add-cbrt-cube
13×times-frac
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt
10×cbrt-undiv div-exp
associate-/l*
cbrt-div
prod-exp cbrt-unprod
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
flip3-+ pow1/3 flip-+ div-inv distribute-lft-out
frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 88
Calls
4 calls:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
13.0ms
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (+ x y))
123.0ms
(cbrt (+ x y))
127.0ms
(cbrt (+ x y))
136.0ms
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))

simplify459.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
01561456
14011378
213671136
done50001136

prune278.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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

sample306.0ms

Algorithm
intervals
Results
185.0ms8001×body80valid