Details

Time bar (total: 12.9s)

sample34.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
7.0ms256×pre80true

simplify2.1s

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize19.0ms

Local error

Found 4 expressions with local error:

26.6b
(/ (* y y) (+ (* y y) (* x x)))
16.3b
(/ (* x x) (+ (* y y) (* x x)))
0.0b
(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
0.0b
(+ (* y y) (* x x))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
10×*-un-lft-identity times-frac
8×associate-/r/ add-cube-cbrt add-log-exp
6×associate-/r*
5×flip3-+ flip-+
4×pow1 cbrt-undiv div-exp insert-posit16 div-inv difference-of-squares
3×distribute-rgt-out--
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×+-commutative sum-log sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 83
Calls
4 calls:
Slowest
62.0ms
(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
26.0ms
(/ (* y y) (+ (* y y) (* x x)))
19.0ms
(/ (* x x) (+ (* y y) (* x x)))
12.0ms
(+ (* y y) (* x x))

series312.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
89.0ms
(/ (* y y) (+ (* y y) (* x x)))
86.0ms
(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
86.0ms
(/ (* x x) (+ (* y y) (* x x)))
50.0ms
(+ (* y y) (* x x))

simplify1.9s

Counts
95 → 95

prune848.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize30.0ms

Local error

Found 4 expressions with local error:

20.9b
(sqrt (+ (* y y) (* x x)))
20.9b
(sqrt (+ (* y y) (* x x)))
20.9b
(sqrt (+ (* y y) (* x x)))
20.9b
(sqrt (+ (* y y) (* x x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
4×rem-sqrt-square sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 add-exp-log flip-+ insert-posit16 add-log-exp
Counts
4 → 64
Calls
4 calls:
Slowest
11.0ms
(sqrt (+ (* y y) (* x x)))
10.0ms
(sqrt (+ (* y y) (* x x)))
8.0ms
(sqrt (+ (* y y) (* x x)))
6.0ms
(sqrt (+ (* y y) (* x x)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
64.0ms
(sqrt (+ (* y y) (* x x)))
62.0ms
(sqrt (+ (* y y) (* x x)))
61.0ms
(sqrt (+ (* y y) (* x x)))
58.0ms
(sqrt (+ (* y y) (* x x)))

simplify1.4s

Counts
76 → 76

prune894.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.8b

localize44.0ms

Local error

Found 4 expressions with local error:

26.6b
(/ (* y y) (+ (* y y) (* x x)))
26.6b
(/ (* y y) (+ (* y y) (* x x)))
26.6b
(/ (* y y) (+ (* y y) (* x x)))
16.3b
(/ (* x x) (+ (* y y) (* x x)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
24×add-cbrt-cube add-exp-log
12×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
8×cbrt-undiv div-exp associate-/r/
4×pow1 clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ insert-posit16 div-inv associate-/l* add-log-exp
Counts
4 → 96
Calls
4 calls:
Slowest
35.0ms
(/ (* y y) (+ (* y y) (* x x)))
28.0ms
(/ (* y y) (+ (* y y) (* x x)))
17.0ms
(/ (* y y) (+ (* y y) (* x x)))
14.0ms
(/ (* x x) (+ (* y y) (* x x)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(/ (* y y) (+ (* y y) (* x x)))
74.0ms
(/ (* y y) (+ (* y y) (* x x)))
67.0ms
(/ (* x x) (+ (* y y) (* x x)))
57.0ms
(/ (* y y) (+ (* y y) (* x x)))

simplify1.0s

Counts
108 → 108

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.8b

regimes107.0ms

Accuracy

76.6% (4.7b remaining)

Error of 5.2b against oracle of 0.5b and baseline of 20.6b

bsearch195.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s8000×body80valid
382.0ms8000×pre80true