Details

Time bar (total: 10.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify34.0ms

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: 14.1b

localize15.0ms

Local error

Found 1 expressions with local error:

13.4b
(/ (+ x y) (* (* x 2.0) y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×times-frac associate-/l*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out
1×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:
44.0ms
(/ (+ x y) (* (* x 2.0) y))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify3.1s

Counts
32 → 32
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
075426
1218411
2874333
34593333
done5000333

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) y)
8.1b
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
35×*-un-lft-identity
28×times-frac
26×add-sqr-sqrt
25×add-cbrt-cube
21×add-cube-cbrt
20×prod-exp
16×div-exp associate-*r*
8×cbrt-undiv cbrt-unprod
7×associate-*l* distribute-lft-out
4×pow1 rec-exp 1-exp associate-/l*
3×associate-/r* div-inv
2×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp unswap-sqr
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 94
Calls
2 calls:
30.0ms
(/ (+ x y) y)
74.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series103.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (+ x y) y)
77.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify1.8s

Counts
100 → 100
Iterations

Useful iterations: 2 (374.0ms)

IterNodesCost
01541304
14041141
21579957
done5000957

prune225.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* x 2.0))
9.8b
(/ (/ (+ x y) (* x 2.0)) y)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out
4×associate-/r*
3×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 → 81
Calls
2 calls:
26.0ms
(/ (+ x y) (* x 2.0))
36.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series105.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (+ x y) (* x 2.0))
58.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify3.3s

Counts
87 → 87
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
01381163
13391124
210781002
346081002
done50001002

prune239.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

98.7% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 8.5b

bsearch49.0ms

Steps
ItersRangePoint
9
1173724448.4928873
3520095067841713.5
828625256103.0856
5
-1.0178916472141456e+36
-4.149836084787158e+35
-5.8149502022660105e+35

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01739
12529
done2529

end0.0ms

sample534.0ms

Algorithm
intervals
Results
269.0ms8000×body80valid