Details

Time bar (total: 18.6s)

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify42.0ms

Counts
1 → 1
Iterations
IterNodes
done25
325
224
114
07

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize23.0ms

Local error

Found 1 expressions with local error:

14.9b
(/ (+ x y) (* (* x 2.0) y))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
7×*-un-lft-identity
4×times-frac associate-/l*
3×add-sqr-sqrt cbrt-undiv div-exp prod-exp add-cube-cbrt cbrt-unprod
2×distribute-lft-out associate-/l/
1×pow1 clear-num associate-/r* frac-2neg flip3-+ flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 28
Calls
1 calls:
68.0ms
(/ (+ x y) (* (* x 2.0) y))

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify1.8s

Counts
31 → 31
Iterations
IterNodes
done5003
2806
1214
074

prune195.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

8.2b
(/ (/ (+ x y) (* x 2.0)) y)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
26×*-un-lft-identity
18×add-sqr-sqrt add-cube-cbrt
10×add-cbrt-cube add-exp-log
8×associate-/l*
5×cbrt-undiv div-exp div-inv
4×distribute-lft-out
3×associate-/r*
1×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp associate-/l/
Counts
1 → 53
Calls
1 calls:
52.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series72.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify2.0s

Counts
56 → 56
Iterations
IterNodes
done5003
21066
1295
0119

prune517.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) y)
9.1b
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

rewrite158.0ms

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×insert-posit16 add-log-exp unswap-sqr associate-/l/
1×frac-times clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
2 → 92
Calls
2 calls:
36.0ms
(/ (+ x y) y)
110.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series130.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ x y) y)
95.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify2.9s

Counts
98 → 98
Iterations
IterNodes
done5002
21732
1442
0152

prune584.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
8.8b
(* (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
217×times-frac
162×add-sqr-sqrt
121×*-un-lft-identity
94×add-exp-log
89×add-cube-cbrt
79×associate-*r*
53×cbrt-prod
51×div-exp
48×add-cbrt-cube
27×cbrt-undiv prod-exp
25×associate-*l*
20×unswap-sqr
15×cbrt-unprod
12×distribute-lft-out
9×1-exp
8×div-inv
6×pow1 cbrt-div
4×insert-posit16 add-log-exp
3×flip3-+ pow1/3 flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 215
Calls
4 calls:
9.0ms
(cbrt (+ x y))
9.0ms
(cbrt (+ x y))
9.0ms
(cbrt (+ x y))
207.0ms
(* (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y))

series894.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt (+ x y))
241.0ms
(cbrt (+ x y))
261.0ms
(cbrt (+ x y))
136.0ms
(* (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y))

simplify5.4s

Counts
227 → 227
Iterations
IterNodes
done5003
24019
11370
0398

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes289.0ms

Accuracy

98.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 8.3b

bsearch163.0ms

Steps
ItersRangePoint
10
5.274962218715483e-45
8.812428053841386e-34
3.49698992568305e-34
10
-524937.0299516014
-3.8822111449762154e-05
-28977.221790386797

simplify7.0ms

Iterations
IterNodes
done25
125
017

end0.0ms

sample657.0ms

Algorithm
intervals
Results
403.0ms8000×body80valid