Details

Time bar (total: 11.7s)

sample36.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
7.0ms256×pre80true

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5002
71519
6575
5339
4177
395
246
122
09

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
18.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-cbrt-cube add-exp-log
5×flip3-+ flip-+
4×add-sqr-sqrt frac-times *-un-lft-identity add-cube-cbrt add-log-exp
3×associate-/r* times-frac flip3-- flip--
2×pow1 cbrt-undiv div-exp associate-*l/ associate-*r/ associate-/r/ insert-posit16
1×+-commutative clear-num sum-log frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
2 → 44
Calls
2 calls:
12.0ms
(+ (* x x) (* y y))
21.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* x x) (* y y))
88.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.2s

Counts
50 → 50
Iterations
IterNodes
done5024
21470
1323
093

prune250.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
13.8b
(/ (* x x) (+ (* x x) (* y y)))
24.1b
(/ (* y y) (+ (* x x) (* y y)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
10×*-un-lft-identity times-frac
8×associate-/r/ add-cube-cbrt add-log-exp
6×associate-/r*
5×flip3-+ flip-+
4×pow1 cbrt-undiv div-exp insert-posit16 div-inv difference-of-squares
3×distribute-rgt-out--
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×+-commutative sum-log sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 83
Calls
4 calls:
15.0ms
(+ (* x x) (* y y))
106.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
13.0ms
(/ (* x x) (+ (* x x) (* y y)))
14.0ms
(/ (* y y) (+ (* x x) (* y y)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (* x x) (* y y))
94.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
80.0ms
(/ (* x x) (+ (* x x) (* y y)))
52.0ms
(/ (* y y) (+ (* x x) (* y y)))

simplify1.5s

Counts
95 → 95
Iterations
IterNodes
done5012
21811
1429
0132

prune547.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) (sqrt (+ (* x x) (* y y))))
0.0b
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
17.5b
(sqrt (+ (* x x) (* y y)))
17.5b
(sqrt (+ (* x x) (* y y)))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
93×*-un-lft-identity
90×times-frac
55×add-cube-cbrt
54×sqrt-prod
36×associate-*l*
30×associate-*r*
18×add-cbrt-cube add-exp-log
13×distribute-lft-out
10×sqrt-div
9×unswap-sqr
8×pow1
6×associate-/r* flip3-+ associate-/r/ flip-+ distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod insert-posit16 associate-/l* add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 179
Calls
4 calls:
40.0ms
(/ (+ x y) (sqrt (+ (* x x) (* y y))))
122.0ms
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
12.0ms
(sqrt (+ (* x x) (* y y)))
12.0ms
(sqrt (+ (* x x) (* y y)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(/ (+ x y) (sqrt (+ (* x x) (* y y))))
96.0ms
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
50.0ms
(sqrt (+ (* x x) (* y y)))
68.0ms
(sqrt (+ (* x x) (* y y)))

simplify2.1s

Counts
191 → 191
Iterations
IterNodes
done5001
22240
1596
0195

prune765.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes144.0ms

Accuracy

73% (5.3b remaining)

Error of 5.6b against oracle of 0.4b and baseline of 19.8b

bsearch168.0ms

Steps
ItersRangePoint
8
6.953890945651462e-218
2.030208501681566e-215
2.0115899741754227e-215
9
-3.9108966169219095e-162
-3.1333455526897084e-170
-3.50265526585485e-162
10
-9.235597319251238e+162
-4.448318838164251e+147
-1.3311533934439168e+154

simplify10.0ms

Iterations
IterNodes
done32
132
027

end0.0ms

sample1.5s

Algorithm
intervals
Results
993.0ms8000×body80valid
363.0ms8000×pre80true