Details

Time bar (total: 17.7s)

sample33.0ms

Algorithm
intervals
Results
14.0ms329×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2117
done117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
10.2b
(/ x (* y y))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity prod-diff
19×add-cube-cbrt
16×times-frac
7×add-exp-log fma-neg add-cbrt-cube
5×div-inv
4×add-log-exp
3×associate-/l*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num associate-/r* flip-- cbrt-unprod distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
52.0ms
(- (/ x (* y y)) 3.0)
8.0ms
(/ x (* y y))

series102.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (/ x (* y y)) 3.0)
41.0ms
(/ x (* y y))

simplify2.7s

Counts
74 → 74
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01091039
1233833
2506692
31639587
done5000566

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (/ x y) y) 3.0)
0.2b
(/ (/ x y) y)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
342×times-frac
236×add-sqr-sqrt
229×*-un-lft-identity
227×add-cube-cbrt
129×prod-diff
43×fma-neg
21×div-inv
13×associate-/l*
7×add-exp-log add-cbrt-cube
4×add-log-exp
3×cbrt-undiv div-exp associate-/r* difference-of-squares
2×pow1 expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- frac-2neg diff-log clear-num flip-- associate-/l/ distribute-lft-out--
Counts
2 → 262
Calls
2 calls:
78.0ms
(- (/ (/ x y) y) 3.0)
11.0ms
(/ (/ x y) y)

series72.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (/ (/ x y) y) 3.0)
34.0ms
(/ (/ x y) y)

simplify3.6s

Counts
268 → 268
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
03165659
17024303
214713610
347092895
done50002895

prune496.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 (/ y (/ x y))) 3.0)
0.2b
(/ y (/ x y))
0.6b
(/ 1 (/ y (/ x y)))

rewrite393.0ms

Algorithm
rewrite-expression-head
Rules
1803×times-frac
990×add-sqr-sqrt
973×*-un-lft-identity
967×add-cube-cbrt
411×prod-diff
137×fma-neg
75×div-inv
57×associate-/r*
29×add-exp-log
22×associate-/r/
18×div-exp
17×add-cbrt-cube
9×cbrt-undiv
7×difference-of-squares
6×associate-/l*
5×add-log-exp
4×pow1
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
2×frac-2neg clear-num distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log flip-- inv-pow
Counts
3 → 849
Calls
3 calls:
217.0ms
(- (/ 1 (/ y (/ x y))) 3.0)
25.0ms
(/ y (/ x y))
32.0ms
(/ 1 (/ y (/ x y)))

series87.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (/ 1 (/ y (/ x y))) 3.0)
30.0ms
(/ y (/ x y))
19.0ms
(/ 1 (/ y (/ x y)))

simplify2.8s

Counts
858 → 858
Iterations

Useful iterations: done (2.8s)

IterNodesCost
088221734
1196415428
2353011702
done500011182

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 (* (/ y x) y)) 3.0)
0.2b
(* (/ y x) y)
0.6b
(/ 1 (* (/ y x) y))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×*-un-lft-identity
29×add-exp-log add-cube-cbrt
25×times-frac
24×prod-diff
17×add-cbrt-cube
13×associate-*l*
10×div-exp
8×pow1 fma-neg prod-exp
7×div-inv
6×associate-*l/
5×cbrt-undiv associate-/r/ add-log-exp
4×cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp associate-*r* log1p-expm1-u associate-/l*
2×pow-flip pow-prod-down distribute-lft-out-- unswap-sqr
1×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* *-commutative flip-- inv-pow difference-of-squares
Counts
3 → 118
Calls
3 calls:
56.0ms
(- (/ 1 (* (/ y x) y)) 3.0)
27.0ms
(* (/ y x) y)
38.0ms
(/ 1 (* (/ y x) y))

series103.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- (/ 1 (* (/ y x) y)) 3.0)
38.0ms
(* (/ y x) y)
30.0ms
(/ 1 (* (/ y x) y))

simplify3.4s

Counts
127 → 127
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01681644
13691332
28311105
33076897
done5000888

prune264.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
089
197
done97

end0.0ms

sample1.2s

Algorithm
intervals
Results
881.0ms10619×body80valid