Details

Time bar (total: 12.0s)

sample59.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
18.0ms256×pre80true

simplify2.5s

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
19.8b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite58.0ms

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/
1×+-commutative clear-num sum-log frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
2 → 42
Calls
2 calls:
12.0ms
(+ (* x x) (* y y))
44.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* x x) (* y y))
78.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.4s

Counts
48 → 48
Iterations
IterNodes
done5016
21471
1321
091

prune233.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize50.0ms

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)))))
19.0b
(sqrt (+ (* x x) (* y y)))
19.0b
(sqrt (+ (* x x) (* y y)))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
96×times-frac
95×*-un-lft-identity
57×add-cube-cbrt sqrt-prod
36×associate-*l*
30×associate-*r*
18×add-cbrt-cube add-exp-log
13×distribute-lft-out-- difference-of-squares
10×sqrt-div
9×unswap-sqr
8×pow1
6×associate-/r* associate-/r/ distribute-lft-out
5×cbrt-undiv flip3-+ div-exp flip-+ associate-/l*
4×prod-exp cbrt-unprod add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 183
Calls
4 calls:
34.0ms
(/ (- x y) (sqrt (+ (* x x) (* y y))))
132.0ms
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
6.0ms
(sqrt (+ (* x x) (* y y)))
6.0ms
(sqrt (+ (* x x) (* y y)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(/ (- x y) (sqrt (+ (* x x) (* y y))))
79.0ms
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
64.0ms
(sqrt (+ (* x x) (* y y)))
54.0ms
(sqrt (+ (* x x) (* y y)))

simplify2.5s

Counts
195 → 195
Iterations
IterNodes
done5002
22525
1646
0204

prune820.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(- (* x x) (* y y))
0.0b
(/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
19.8b
(/ (+ (* x x) (* y y)) (- (* x x) (* y y)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
64×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
22×associate-/r*
17×add-exp-log difference-of-squares
11×add-cbrt-cube associate-/r/
8×div-exp add-log-exp
6×flip3-- div-inv flip-- associate-/l*
5×pow1
4×cbrt-undiv
2×rec-exp clear-num frac-2neg flip3-+ 1-exp flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log pow-flip inv-pow
Counts
4 → 155
Calls
4 calls:
6.0ms
(+ (* x x) (* y y))
6.0ms
(- (* x x) (* y y))
28.0ms
(/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
29.0ms
(/ (+ (* x x) (* y y)) (- (* x x) (* y y)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* x x) (* y y))
45.0ms
(- (* x x) (* y y))
65.0ms
(/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
66.0ms
(/ (+ (* x x) (* y y)) (- (* x x) (* y y)))

simplify1.4s

Counts
167 → 167
Iterations
IterNodes
done5000
21714
1575
0216

prune769.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes96.0ms

Accuracy

75.8% (4.8b remaining)

Error of 5.3b against oracle of 0.5b and baseline of 20.5b

bsearch111.0ms

Steps
ItersRangePoint
7
3.7292500535902756e-165
8.372884961356524e-164
8.251127577565227e-164
5
-4.835312714320349e-146
-2.347079218519918e-146
-4.3819182881714905e-146
11
-9.102235460067921e+164
-1.0462181133086875e+143
-1.5105631310115093e+145

simplify7.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample960.0ms

Algorithm
intervals
Results
540.0ms8000×body80valid
217.0ms8000×pre80true