Details

Time bar (total: 29.4s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify37.0ms

Counts
1 → 1
Iterations
IterNodes
done25
325
224
114
07

prune17.0ms

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))

rewrite61.0ms

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×expm1-log1p-u pow1 clear-num associate-/r* frac-2neg flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
57.0ms
(/ (+ x y) (* (* x 2.0) y))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify2.4s

Counts
33 → 33
Iterations
IterNodes
done5000
2824
1222
076

prune308.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite60.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 55
Calls
1 calls:
52.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify2.6s

Counts
58 → 58
Iterations
IterNodes
done5001
21067
1298
0121

prune525.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
8.1b
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ y (/ (cbrt (+ x y)) 2.0)))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
1907×times-frac
863×*-un-lft-identity
713×add-sqr-sqrt add-cube-cbrt
300×cbrt-prod
114×div-inv
80×associate-/r*
75×distribute-lft-out
40×add-exp-log
31×add-cbrt-cube
24×cbrt-undiv div-exp
9×associate-/r/
7×associate-/l*
6×cbrt-div
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 prod-exp cbrt-unprod flip-+
1×clear-num frac-2neg associate-/l/
Counts
4 → 731
Calls
4 calls:
6.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))
124.0ms
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ y (/ (cbrt (+ x y)) 2.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
315.0ms
(cbrt (+ x y))
284.0ms
(cbrt (+ x y))
266.0ms
(cbrt (+ x y))
159.0ms
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ y (/ (cbrt (+ x y)) 2.0)))

simplify7.1s

Counts
743 → 743
Iterations
IterNodes
done5006
14367
01194

prune9.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite178.0ms

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 insert-posit16 log1p-expm1-u 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 → 96
Calls
2 calls:
39.0ms
(/ (+ x y) y)
132.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series127.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (+ x y) y)
100.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify3.2s

Counts
102 → 102
Iterations
IterNodes
done5000
21780
1448
0156

prune771.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes395.0ms

Accuracy

98.3% (0.1b remaining)

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

bsearch120.0ms

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

simplify14.0ms

Iterations
IterNodes
done25
125
017

end0.0ms

sample755.0ms

Algorithm
intervals
Results
434.0ms8000×body80valid