Details

Time bar (total: 4.1s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1484
21064
31744
41984
52034
62034
done2034

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/l*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out-- difference-of-squares
1×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:
27.0ms
(/ (- x y) (* (* x 2.0) y))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (- x y) (* (* x 2.0) y))

simplify33.0ms

Counts
35 → 35
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0242218
1990181
25002180
done5002180

prune61.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
4×associate-/r*
3×div-sub associate-/l/
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- flip--
Counts
2 → 89
Calls
2 calls:
19.0ms
(/ (- x y) (* x 2.0))
26.0ms
(/ (/ (- x y) (* x 2.0)) y)

series102.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- x y) (* x 2.0))
60.0ms
(/ (/ (- x y) (* x 2.0)) y)

simplify44.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0386623
11500563
25001562
done5001562

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (/ (- x y) 2.0))
7.9b
(/ (/ 1 x) (/ y (/ (- x y) 2.0)))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
2918×times-frac
1433×add-sqr-sqrt *-un-lft-identity
1157×add-cube-cbrt
138×distribute-lft-out-- difference-of-squares
125×div-inv
81×associate-/r*
46×add-exp-log
33×div-exp
28×add-cbrt-cube
18×cbrt-undiv
16×associate-/r/ associate-/l*
3×rec-exp 1-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 1009
Calls
2 calls:
18.0ms
(/ y (/ (- x y) 2.0))
43.0ms
(/ (/ 1 x) (/ y (/ (- x y) 2.0)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ y (/ (- x y) 2.0))
64.0ms
(/ (/ 1 x) (/ y (/ (- x y) 2.0)))

simplify193.0ms

Counts
1015 → 1015
Iterations

Useful iterations: 1 (69.0ms)

IterNodesCost
0446515123
1500214694
done500214694

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (/ (- x y) 2.0) y)
8.4b
(* (/ 1 x) (/ (/ (- x y) 2.0) y))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
61×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/l*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/r*
2×expm1-log1p-u div-sub log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 212
Calls
2 calls:
19.0ms
(/ (/ (- x y) 2.0) y)
59.0ms
(* (/ 1 x) (/ (/ (- x y) 2.0) y))

series95.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (/ (- x y) 2.0) y)
54.0ms
(* (/ 1 x) (/ (/ (- x y) 2.0) y))

simplify86.0ms

Counts
218 → 218
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
09571739
143471579
250031573
done50031573

prune577.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

96.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 8.5b

bsearch47.0ms

Steps
ItersRangePoint
7
2.2095256272265483e+45
1.8064145994310359e+47
2.2453712652758457e+45
7
-2.7910178731734284e+51
-1.6167815752811602e+50
-2.3603301951821896e+50

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259
done259

end0.0ms

sample326.0ms

Algorithm
intervals
Results
168.0ms8001×body80valid