Details

Time bar (total: 18.6s)

sample26.0ms

Algorithm
intervals
Results
8.0ms228×body80valid
2.0ms14×body1280valid
1.0msbody640valid
1.0msbody2560valid
0.0msbody160valid
0.0msbody320valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3297
4407
5947
62067
74867
812727
943247
done50007

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
25.0ms
(+ x (/ (- x y) 2.0))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(+ x (/ (- x y) 2.0))

simplify2.9s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
036194
198186
2269172
3872172
44342171
done5000171

prune83.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
52×prod-diff
48×add-sqr-sqrt
43×add-cube-cbrt
37×times-frac
15×distribute-lft-out
add-log-exp
fma-neg div-inv
diff-log frac-sub distribute-lft-out-- difference-of-squares
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- flip3-+ associate--l+ sum-log add-cbrt-cube flip-- flip-+ log1p-expm1-u
Counts
1 → 78
Calls
1 calls:
174.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

simplify2.4s

Counts
81 → 81
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01822778
14692488
218461818
done50001326

prune121.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
20.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
342.0ms
(* (cbrt x) (cbrt x))
316.0ms
(cbrt x)
273.0ms
(cbrt x)
261.0ms
(cbrt x)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065554
1143443
2719423
done5000409

prune346.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt x)
358.0ms
(cbrt x)
278.0ms
(cbrt x)
322.0ms
(cbrt x)

simplify1.3s

Counts
64 → 64
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
026284
147268
2115244
3334232
41002232
done5001232

prune299.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
done89

end0.0ms

sample702.0ms

Algorithm
intervals
Results
349.0ms7388×body80valid
32.0ms206×body1280valid
20.0ms108×body2560valid
19.0ms161×body640valid
7.0ms86×body320valid
3.0ms55×body160valid