Details

Time bar (total: 12.6s)

sample45.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
7.0ms256×pre80true

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
73699
6840
5403
4208
3103
248
122
09

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(+ (* x x) (* y y))
14.2b
(/ (* x x) (+ (* x x) (* y y)))
22.2b
(/ (* y y) (+ (* x x) (* y y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
6×associate-/r* times-frac
4×pow1 cbrt-undiv flip3-+ div-exp associate-/r/ flip-+
2×+-commutative clear-num sum-log frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
12.0ms
(+ (* x x) (* y y))
12.0ms
(+ (* x x) (* y y))
24.0ms
(/ (* x x) (+ (* x x) (* y y)))
19.0ms
(/ (* y y) (+ (* x x) (* y y)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (* x x) (* y y))
42.0ms
(+ (* x x) (* y y))
52.0ms
(/ (* x x) (+ (* x x) (* y y)))
85.0ms
(/ (* y y) (+ (* x x) (* y y)))

simplify2.2s

Counts
80 → 80
Iterations
IterNodes
done5002
22998
1336
096

prune461.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
14.2b
(/ (* x x) (+ (* x x) (* y y)))
15.7b
(sqrt (+ (* x x) (* y y)))
15.7b
(sqrt (+ (* x x) (* y y)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
99×times-frac
64×*-un-lft-identity add-cube-cbrt
54×sqrt-prod
30×swap-sqr
24×associate-*r* associate-*l*
21×add-cbrt-cube add-exp-log
13×pow1
12×sqrt-div
10×associate-/r/
9×unswap-sqr
7×flip3-+ flip-+
6×cbrt-undiv div-exp
5×prod-exp cbrt-unprod div-inv
4×add-log-exp
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×pow2 frac-times clear-num frac-2neg pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up associate-/l*
Counts
4 → 164
Calls
4 calls:
95.0ms
(* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
25.0ms
(/ (* x x) (+ (* x x) (* y y)))
6.0ms
(sqrt (+ (* x x) (* y y)))
6.0ms
(sqrt (+ (* x x) (* y y)))

series220.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
62.0ms
(/ (* x x) (+ (* x x) (* y y)))
52.0ms
(sqrt (+ (* x x) (* y y)))
48.0ms
(sqrt (+ (* x x) (* y y)))

simplify1.1s

Counts
176 → 176
Iterations
IterNodes
done5000
1721
0207

prune926.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 16.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
2.3b
(log (exp (/ (* y y) (+ (* x x) (* y y)))))
14.2b
(/ (* x x) (+ (* x x) (* y y)))
22.2b
(/ (* y y) (+ (* x x) (* y y)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×log-pow
9×exp-prod times-frac
6×associate-/r* associate-/r/ add-log-exp
5×pow1
4×cbrt-undiv flip3-+ div-exp flip-+
3×log-prod div-inv
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×+-commutative sum-log rem-log-exp
Counts
4 → 78
Calls
4 calls:
6.0ms
(+ (* x x) (* y y))
21.0ms
(log (exp (/ (* y y) (+ (* x x) (* y y)))))
23.0ms
(/ (* x x) (+ (* x x) (* y y)))
25.0ms
(/ (* y y) (+ (* x x) (* y y)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* x x) (* y y))
83.0ms
(log (exp (/ (* y y) (+ (* x x) (* y y)))))
67.0ms
(/ (* x x) (+ (* x x) (* y y)))
63.0ms
(/ (* y y) (+ (* x x) (* y y)))

simplify2.3s

Counts
90 → 90
Iterations
IterNodes
done5001
23088
1377
0128

prune436.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 16.3b

regimes66.0ms

Accuracy

0% (0.2b remaining)

Error of 20.1b against oracle of 19.9b and baseline of 20.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample921.0ms

Algorithm
intervals
Results
498.0ms8000×body80valid
225.0ms8000×pre80true