Details

Time bar (total: 14.4s)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify51.0ms

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: 14.3b

localize6.0ms

Local error

Found 1 expressions with local error:

13.8b
(/ (+ 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:
37.0ms
(/ (+ x y) (* (* x 2.0) y))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify3.6s

Counts
32 → 32
Iterations

Useful iterations: 2 (175.0ms)

IterNodesCost
075426
1218411
2874333
34593333
done5000333

prune71.0ms

Pruning

4 alts after pruning (4 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))

rewrite36.0ms

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:
34.0ms
(+ (/ 0.5 y) (/ 0.5 x))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(+ (/ 0.5 y) (/ 0.5 x))

simplify3.6s

Counts
35 → 35
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
048243
1124230
2306209
3897209
44235206
done5000206

prune107.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ (sqrt 0.5) 1) (/ (sqrt 0.5) y) (/ 0.5 x))
0.5b
(/ (sqrt 0.5) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×sqrt-prod
6×associate-/l*
4×add-exp-log add-cbrt-cube
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 51
Calls
2 calls:
0.0ms
(fma (/ (sqrt 0.5) 1) (/ (sqrt 0.5) y) (/ 0.5 x))
9.0ms
(/ (sqrt 0.5) y)

series181.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(fma (/ (sqrt 0.5) 1) (/ (sqrt 0.5) y) (/ 0.5 x))
62.0ms
(/ (sqrt 0.5) y)

simplify1.9s

Counts
57 → 57
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
086578
1132468
2255440
3600440
42111440
done5001440

prune135.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
64×cbrt-prod
42×times-frac
37×add-sqr-sqrt distribute-lft-out
33×cbrt-div
29×add-cube-cbrt
14×div-inv
13×swap-sqr
11×pow1 flip3-+ associate-*r* associate-*l* frac-add flip-+
9×frac-times pow1/3
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 137
Calls
4 calls:
173.0ms
(* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))))
23.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))
25.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))
25.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
452.0ms
(* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))))
198.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))
186.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))
191.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))

simplify2.0s

Counts
149 → 149
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02313163
14772923
212322785
331282544
done50012469

prune514.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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

sample624.0ms

Algorithm
intervals
Results
434.0ms8000×body80valid