Details

Time bar (total: 10.9s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms68×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize7.0ms

Local error

Found 1 expressions with local error:

23.2b
(sqrt (+ (* x x) y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
1×rem-sqrt-square sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 add-exp-log flip-+ add-log-exp
Counts
1 → 15
Calls
1 calls:
17.0ms
(sqrt (+ (* x x) y))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(sqrt (+ (* x x) y))

simplify2.1s

Counts
18 → 18
Iterations
IterNodes
done5001
42254
3739
2276
1114
051

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ (* x x) y)))
0.5b
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
23.2b
(sqrt (+ (* x x) y))
23.2b
(sqrt (+ (* x x) y))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-prod
54×add-sqr-sqrt
38×sqrt-pow1
32×sqrt-div
31×pow1
20×*-un-lft-identity pow1/2 add-cube-cbrt
15×swap-sqr
9×flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
6×add-cbrt-cube add-exp-log
5×pow-prod-down pow-sqr
4×frac-times rem-sqrt-square add-log-exp
2×associate-*l/ associate-*r/
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
14.0ms
(sqrt (sqrt (+ (* x x) y)))
73.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
9.0ms
(sqrt (+ (* x x) y))
13.0ms
(sqrt (+ (* x x) y))

series279.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(sqrt (sqrt (+ (* x x) y)))
61.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
43.0ms
(sqrt (+ (* x x) y))
65.0ms
(sqrt (+ (* x x) y))

simplify2.7s

Counts
146 → 146
Iterations
IterNodes
done5009
44869
31508
2617
1292
0138

prune513.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
20.0ms
(* 1/2 (/ y x))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* 1/2 (/ y x))

simplify1.7s

Counts
35 → 35
Iterations
IterNodes
done5003
31421
2508
1172
068

prune156.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ -1/2 (/ x y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 clear-num frac-2neg associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
12.0ms
(/ -1/2 (/ x y))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ -1/2 (/ x y))

simplify1.6s

Counts
73 → 73
Iterations
IterNodes
done5101
33102
2976
1371
0150

prune323.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes362.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.5b

bsearch53.0ms

Steps
ItersRangePoint
7
3.6808033284981034e+145
9.595693332345167e+146
8.914808959129563e+145
8
-4.755519083684039e+154
-2.121197795503813e+151
-1.3527325623815516e+154

simplify3.0ms

Iterations
IterNodes
done22
122
019

end0.0ms

sample658.0ms

Algorithm
intervals
Results
271.0ms8000×body80valid
114.0ms2610×body80nan