Details

Time bar (total: 11.3s)

sample23.0ms

Algorithm
intervals
Results
13.0ms401×body80valid

simplify32.0ms

Counts
1 → 1
Iterations
IterNodes
done47
547
444
337
225
115
08

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×sum-log
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
1×associate-+l+
Counts
2 → 27
Calls
2 calls:
10.0ms
(+ (* x y) (* z z))
125.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series111.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* x y) (* z z))
60.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.6s

Counts
33 → 33
Iterations
IterNodes
done5002
34560
2771
1190
058

prune162.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* z z) (* z z))
0.0b
(+ (* x y) (* z z))
0.1b
(+ (+ (* x y) (* z z)) (+ (* z z) (* z z)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
7×flip3-+ flip-+
5×*-un-lft-identity
4×frac-add
3×add-sqr-sqrt pow1 +-commutative add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
2×distribute-lft-out
1×associate-+l+ associate-+r+ distribute-rgt-out count-2
Counts
3 → 49
Calls
3 calls:
8.0ms
(+ (* z z) (* z z))
8.0ms
(+ (* x y) (* z z))
63.0ms
(+ (+ (* x y) (* z z)) (+ (* z z) (* z z)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ (* z z) (* z z))
41.0ms
(+ (* x y) (* z z))
58.0ms
(+ (+ (* x y) (* z z)) (+ (* z z) (* z z)))

simplify1.3s

Counts
58 → 58
Iterations
IterNodes
done5000
21081
1287
088

prune200.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (+ (* x y) (* z z)) (* (sqrt (+ (* z z) (* z z))) (sqrt (+ (* z z) (* z z)))))
0.3b
(* (sqrt (+ (* z z) (* z z))) (sqrt (+ (* z z) (* z z))))
20.3b
(sqrt (+ (* z z) (* z z)))
20.3b
(sqrt (+ (* z z) (* z z)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-prod
40×sqrt-div
29×flip3-+ flip-+
28×add-sqr-sqrt
21×pow1
16×frac-add
14×*-un-lft-identity add-cube-cbrt
13×swap-sqr
12×frac-times
10×sqrt-pow1 pow1/2
9×associate-*r* associate-*l* add-log-exp
8×distribute-rgt-out distribute-lft-out
6×add-cbrt-cube count-2 associate-*l/ associate-*r/ add-exp-log
5×pow-prod-up
4×insert-posit16 unswap-sqr
3×sum-log pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 +-commutative associate-+l+ rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 137
Calls
4 calls:
38.0ms
(+ (+ (* x y) (* z z)) (* (sqrt (+ (* z z) (* z z))) (sqrt (+ (* z z) (* z z)))))
50.0ms
(* (sqrt (+ (* z z) (* z z))) (sqrt (+ (* z z) (* z z))))
8.0ms
(sqrt (+ (* z z) (* z z)))
8.0ms
(sqrt (+ (* z z) (* z z)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(+ (+ (* x y) (* z z)) (* (sqrt (+ (* z z) (* z z))) (sqrt (+ (* z z) (* z z)))))
98.0ms
(* (sqrt (+ (* z z) (* z z))) (sqrt (+ (* z z) (* z z))))
57.0ms
(sqrt (+ (* z z) (* z z)))
37.0ms
(sqrt (+ (* z z) (* z z)))

simplify1.3s

Counts
149 → 149
Iterations
IterNodes
done5001
21397
1504
0193

prune503.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (+ (* z z) (* z z)))) (sqrt (+ (* z z) (* z z))))
20.3b
(sqrt (+ (* z z) (* z z)))
20.3b
(sqrt (+ (* z z) (* z z)))
20.3b
(sqrt (+ (* z z) (* z z)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
49×sqrt-prod
29×add-sqr-sqrt
24×sqrt-div
19×pow1
15×sqrt-pow1
12×*-un-lft-identity associate-*l* add-cube-cbrt
11×pow1/2
9×flip3-+ associate-*r* flip-+
6×add-cbrt-cube add-exp-log pow-prod-up unswap-sqr
5×distribute-rgt-out count-2 distribute-lft-out
4×frac-times insert-posit16 add-log-exp
3×rem-sqrt-square pow-prod-down
2×pow-plus cube-unmult associate-*l/ associate-*r/
1×sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
73.0ms
(* (sqrt (sqrt (+ (* z z) (* z z)))) (sqrt (+ (* z z) (* z z))))
12.0ms
(sqrt (+ (* z z) (* z z)))
10.0ms
(sqrt (+ (* z z) (* z z)))
8.0ms
(sqrt (+ (* z z) (* z z)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (sqrt (sqrt (+ (* z z) (* z z)))) (sqrt (+ (* z z) (* z z))))
51.0ms
(sqrt (+ (* z z) (* z z)))
54.0ms
(sqrt (+ (* z z) (* z z)))
51.0ms
(sqrt (+ (* z z) (* z z)))

simplify1.7s

Counts
129 → 129
Iterations
IterNodes
done5000
32697
2734
1288
0129

prune590.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes303.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.1s

Algorithm
intervals
Results
878.0ms12062×body80valid