Details

Time bar (total: 12.9s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2289
3429
4449
done449

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize12.0ms

Local error

Found 1 expressions with local error:

13.3b
(/ (+ x y) (* (* x 2.0) y))

rewrite48.0ms

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:
47.0ms
(/ (+ x y) (* (* x 2.0) y))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify3.2s

Counts
32 → 32
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
075426
1218411
2874333
34593333
done5000333

prune103.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
25.0ms
(+ (/ 0.5 y) (/ 0.5 x))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(+ (/ 0.5 y) (/ 0.5 x))

simplify3.8s

Counts
35 → 35
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
048243
1124230
2306209
3897209
44235206
done5000206

prune120.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ (sqrt 0.5) 1) (/ (sqrt 0.5) y) (/ 0.5 x))
0.4b
(/ (sqrt 0.5) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×sqrt-prod
associate-/l*
add-exp-log add-cbrt-cube
associate-/r*
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
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))
11.0ms
(/ (sqrt 0.5) y)

series190.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(fma (/ (sqrt 0.5) 1) (/ (sqrt 0.5) y) (/ 0.5 x))
72.0ms
(/ (sqrt 0.5) y)

simplify1.9s

Counts
57 → 57
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
086578
1132468
2255440
3600440
42111440
done5001440

prune143.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

3.1b
(/ (sqrt (+ x y)) (/ (* (* x 2.0) y) (sqrt (+ x y))))
3.8b
(/ (* (* x 2.0) y) (sqrt (+ x y)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
106×*-un-lft-identity
96×sqrt-prod
58×add-sqr-sqrt add-cube-cbrt
25×add-exp-log add-cbrt-cube
24×distribute-lft-out
20×sqrt-div associate-/r*
19×associate-/r/
10×cbrt-undiv flip3-+ div-exp flip-+ div-inv
associate-/l*
prod-exp cbrt-unprod
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 169
Calls
2 calls:
43.0ms
(/ (sqrt (+ x y)) (/ (* (* x 2.0) y) (sqrt (+ x y))))
32.0ms
(/ (* (* x 2.0) y) (sqrt (+ x y)))

series226.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(/ (sqrt (+ x y)) (/ (* (* x 2.0) y) (sqrt (+ x y))))
140.0ms
(/ (* (* x 2.0) y) (sqrt (+ x y)))

simplify1.3s

Counts
175 → 175
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02604163
16303750
223773383
done50013305

prune379.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample1.1s

Algorithm
intervals
Results
393.0ms8000×body80valid