Details

Time bar (total: 13.4s)

sample29.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify44.0ms

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: 16.9b

localize7.0ms

Local error

Found 1 expressions with local error:

16.3b
(/ (+ x y) (* (* x 2.0) y))

rewrite35.0ms

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:
34.0ms
(/ (+ x y) (* (* x 2.0) y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify3.2s

Counts
32 → 32
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
075426
1218411
2874333
34593333
done5000333

prune61.0ms

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))

rewrite30.0ms

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:
29.0ms
(+ (/ 0.5 y) (/ 0.5 x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(+ (/ 0.5 y) (/ 0.5 x))

simplify3.6s

Counts
35 → 35
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
048243
1124230
2306209
3897209
44235206
done5000206

prune78.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
7.9b
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
47×add-exp-log
45×cbrt-prod add-sqr-sqrt
32×associate-*r* add-cbrt-cube
29×add-cube-cbrt
24×times-frac
19×prod-exp cbrt-unprod
16×cbrt-div
13×pow1 cbrt-undiv div-exp
12×associate-*l*
11×distribute-lft-out
swap-sqr
flip3-+ pow1/3 flip-+
unswap-sqr
frac-times
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*r/ pow-prod-down associate-*l/
pow-sqr *-commutative pow-prod-up div-inv
pow2 pow-plus
Counts
4 → 154
Calls
4 calls:
6.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))
58.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
115.0ms
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

series577.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (+ x y))
157.0ms
(cbrt (+ x y))
192.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
89.0ms
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

simplify1.9s

Counts
166 → 166
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02453006
16562767
230682201
done50002010

prune414.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

9.0b
(/ (/ (+ x y) y) x)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
74×*-un-lft-identity
50×add-sqr-sqrt add-cube-cbrt
16×associate-/l*
12×distribute-lft-out
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/r*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 84
Calls
1 calls:
38.0ms
(/ (/ (+ x y) y) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (/ (+ x y) y) x)

simplify2.1s

Counts
87 → 87
Iterations

Useful iterations: 2 (231.0ms)

IterNodesCost
01521277
13421216
28661172
323191172
done50001172

prune256.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

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

sample644.0ms

Algorithm
intervals
Results
367.0ms8003×body80valid