Details

Time bar (total: 13.7s)

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify182.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1189
2479
31029
41509
51689
61819
71859
done1859

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize8.0ms

Local error

Found 1 expressions with local error:

13.5b
(/ (- x y) (* (* x 2.0) y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
times-frac associate-/l*
cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
associate-/l/ distribute-lft-out-- difference-of-squares
pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num associate-/r* flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
36.0ms
(/ (- x y) (* (* x 2.0) y))

series58.0ms

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

simplify3.4s

Counts
35 → 35
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
084467
1235452
2903372
34863370
done5000370

prune68.0ms

Pruning

3 alts after pruning (3 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))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
204×add-sqr-sqrt
200×*-un-lft-identity
192×add-cube-cbrt
169×prod-diff
29×div-inv
13×fma-neg
distribute-lft-out--
difference-of-squares
add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 206
Calls
1 calls:
42.0ms
(- (/ 0.5 y) (/ 0.5 x))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- (/ 0.5 y) (/ 0.5 x))

simplify2.1s

Counts
209 → 209
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03147897
16896858
214934834
done50003300

prune131.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (* x 2.0))
7.6b
(/ (/ (- x y) (* x 2.0)) y)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
34×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
cbrt-undiv div-exp
div-inv distribute-lft-out-- difference-of-squares
associate-/r*
div-sub associate-/l/
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
flip3-- flip--
Counts
2 → 89
Calls
2 calls:
25.0ms
(/ (- x y) (* x 2.0))
25.0ms
(/ (/ (- x y) (* x 2.0)) y)

series108.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- x y) (* x 2.0))
62.0ms
(/ (/ (- x y) (* x 2.0)) y)

simplify1.5s

Counts
95 → 95
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01551280
13801242
212501116
done50001114

prune261.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.1b
(/ (/ (sqrt (- x y)) 2.0) y)
0.1b
(/ (sqrt (- x y)) x)
5.9b
(* (/ (sqrt (- x y)) x) (/ (/ (sqrt (- x y)) 2.0) y))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
407×times-frac
306×add-sqr-sqrt
258×*-un-lft-identity
200×add-cube-cbrt
152×sqrt-prod
88×associate-*r*
36×associate-/l*
32×add-exp-log add-cbrt-cube
29×distribute-lft-out-- difference-of-squares
28×associate-*l*
13×cbrt-undiv div-exp
12×unswap-sqr
11×div-inv
pow1
prod-exp associate-/r* cbrt-unprod
expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
associate-/l/
flip3-- frac-2neg clear-num flip--
frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 356
Calls
4 calls:
22.0ms
(sqrt (- x y))
34.0ms
(/ (/ (sqrt (- x y)) 2.0) y)
19.0ms
(/ (sqrt (- x y)) x)
141.0ms
(* (/ (sqrt (- x y)) x) (/ (/ (sqrt (- x y)) 2.0) y))

series456.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- x y))
151.0ms
(/ (/ (sqrt (- x y)) 2.0) y)
135.0ms
(/ (sqrt (- x y)) x)
99.0ms
(* (/ (sqrt (- x y)) x) (/ (/ (sqrt (- x y)) 2.0) y))

simplify2.8s

Counts
368 → 368
Iterations

Useful iterations: done (2.8s)

IterNodesCost
04616547
112665762
240035498
done50015433

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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
done67

end0.0ms

sample784.0ms

Algorithm
intervals
Results
416.0ms8000×body80valid