Details

Time bar (total: 6.6s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×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: 13.0b

localize5.0ms

Local error

Found 1 expressions with local error:

12.5b
(/ (+ 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))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify2.3s

Counts
32 → 32
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
075426
1225411
2869333
34446333
done5000333

prune58.0ms

Pruning

2 alts after pruning (2 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))

rewrite21.0ms

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:
20.0ms
(+ (/ 0.5 y) (/ 0.5 x))

series29.0ms

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

simplify1.8s

Counts
35 → 35
Iterations

Useful iterations: 4 (630.0ms)

IterNodesCost
048243
1124230
2272209
3885209
43316206
done5001206

prune79.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
7.8b
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
34×*-un-lft-identity
32×add-cbrt-cube
30×add-sqr-sqrt
25×cbrt-prod associate-*r*
24×times-frac
22×add-cube-cbrt
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
pow1 cbrt-div distribute-lft-out
associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
flip3-+ pow1/3 flip-+ unswap-sqr
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 115
Calls
4 calls:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
51.0ms
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

series462.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (+ x y))
131.0ms
(cbrt (+ x y))
126.0ms
(cbrt (+ x y))
77.0ms
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

simplify983.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (363.0ms)

IterNodesCost
01902374
15952235
229291690
done50001690

prune301.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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

sample294.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid