Details

Time bar (total: 8.3s)

sample66.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
14.0ms256×pre80true

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done2001
82001
71519
6575
5339
4177
395
246
122
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
13.8b
(/ (* x x) (+ (* x x) (* y y)))
23.7b
(/ (* y y) (+ (* x x) (* y y)))

rewrite141.0ms

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:
12.0ms
(+ (* x x) (* y y))
86.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
22.0ms
(/ (* x x) (+ (* x x) (* y y)))
18.0ms
(/ (* y y) (+ (* x x) (* y y)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* x x) (* y y))
89.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
69.0ms
(/ (* x x) (+ (* x x) (* y y)))
69.0ms
(/ (* y y) (+ (* x x) (* y y)))

simplify1.4s

Counts
95 → 95
Iterations
IterNodes
done2002
32002
21811
1429
0132

prune671.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))
13.8b
(/ (* x x) (+ (* x x) (* y y)))
23.7b
(/ (* y y) (+ (* y y) (* x x)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
10×*-un-lft-identity times-frac
8×add-cube-cbrt add-log-exp
6×associate-/r*
4×pow1 cbrt-undiv div-exp associate-/r/ insert-posit16 difference-of-squares
3×flip3-+ flip-+
2×clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
1×+-commutative sum-log sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out--
Counts
4 → 79
Calls
4 calls:
8.0ms
(+ (* x x) (* y y))
86.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))
18.0ms
(/ (* x x) (+ (* x x) (* y y)))
17.0ms
(/ (* y y) (+ (* y y) (* x x)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* x x) (* y y))
72.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))
50.0ms
(/ (* x x) (+ (* x x) (* y y)))
52.0ms
(/ (* y y) (+ (* y y) (* x x)))

simplify901.0ms

Counts
91 → 91
Iterations
IterNodes
done2000
22000
1467
0142

prune799.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes97.0ms

Accuracy

75.9% (4.7b remaining)

Error of 5.1b against oracle of 0.4b and baseline of 19.8b

bsearch142.0ms

Steps
ItersRangePoint
9
6.810393354458645e-170
3.634876864120329e-162
3.4681229867935913e-162
9
-3.7721195140921854e-149
-1.8437943018341673e-154
-1.0184496907077957e-153
8
-1.542727211461463e+154
-3.554202870153192e+151
-1.3381309335657303e+154

simplify6.0ms

Iterations
IterNodes
done25
125
020

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.0s8000×body80valid
390.0ms8000×pre80true