Details

Time bar (total: 9.5s)

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
2.0ms105×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
166
done66

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
21.1b
(sqrt (+ (* x x) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
3.0ms
(+ (* x x) y)
4.0ms
(sqrt (+ (* x x) y))

series68.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (* x x) y)
44.0ms
(sqrt (+ (* x x) y))

simplify2.1s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
059319
1141294
2385258
31086255
43538254
done5001254

prune83.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

21.1b
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
21.9b
(cbrt (+ (* x x) y))
21.9b
(cbrt (+ (* x x) y))
21.9b
(cbrt (+ (* x x) y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-plus
5×pow-prod-down
4×add-exp-log add-cbrt-cube add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 89
Calls
4 calls:
35.0ms
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
3.0ms
(cbrt (+ (* x x) y))
5.0ms
(cbrt (+ (* x x) y))
3.0ms
(cbrt (+ (* x x) y))

series304.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
85.0ms
(cbrt (+ (* x x) y))
85.0ms
(cbrt (+ (* x x) y))
86.0ms
(cbrt (+ (* x x) y))

simplify1.7s

Counts
101 → 101
Iterations

Useful iterations: 4 (926.0ms)

IterNodesCost
01742431
12932192
25211683
311021635
431791634
done50011634

prune230.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (* 1/2 (/ y x)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ x (* 1/2 (/ y x)))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(+ x (* 1/2 (/ y x)))

simplify2.1s

Counts
14 → 14
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
027166
186157
2271143
3904143
42838143
done5000143

prune27.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* (/ y x) -1/2) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
4.0ms
(- (* (/ y x) -1/2) x)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(- (* (/ y x) -1/2) x)

simplify2.1s

Counts
15 → 15
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
032173
182166
2224149
3855147
43471147
done5000147

prune24.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.2b

bsearch49.0ms

Steps
ItersRangePoint
6
3.05690573887077e+112
2.2882387430117383e+113
7.4055700216532296e+112
9
-9.454570341338981e+157
-2.2087357092495854e+152
-1.3614720717698548e+154

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01828
12228
done2228

end0.0ms

sample364.0ms

Algorithm
intervals
Results
151.0ms8000×body80valid
43.0ms2617×body80nan