Details

Time bar (total: 8.8s)

sample41.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
7.0ms256×pre80true

simplify1.7s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
18.4b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-cbrt-cube add-exp-log
5×flip3-+ flip-+
4×add-sqr-sqrt frac-times *-un-lft-identity add-cube-cbrt add-log-exp
3×associate-/r* times-frac flip3-- flip--
2×pow1 cbrt-undiv div-exp associate-*l/ associate-*r/ associate-/r/ insert-posit16
1×+-commutative clear-num sum-log frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
2 → 44
Calls
2 calls:
15.0ms
(+ (* x x) (* y y))
23.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* x x) (* y y))
84.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.1s

Counts
50 → 50
Iterations
IterNodes
done2013
32013
21470
1323
093

prune384.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
0.0b
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
11.7b
(/ (* x x) (+ (* x x) (* y y)))
25.9b
(/ (* y y) (+ (* x x) (* y y)))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
14×*-un-lft-identity times-frac add-cbrt-cube add-exp-log
12×associate-/r/ log-pow
11×exp-prod
10×add-cube-cbrt
8×difference-of-squares
6×associate-/r* flip3-+ distribute-rgt-out-- flip-+ div-inv add-log-exp
5×pow1 log-prod
4×cbrt-undiv div-exp insert-posit16
2×clear-num sub-neg frac-2neg exp-sum prod-exp cbrt-unprod associate-/l* distribute-lft-out--
1×log-div flip3-- exp-diff diff-log rem-log-exp frac-sub flip-- sub-div
Counts
4 → 98
Calls
4 calls:
223.0ms
(log (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
53.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
14.0ms
(/ (* x x) (+ (* x x) (* y y)))
21.0ms
(/ (* y y) (+ (* x x) (* y y)))

series322.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(log (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
90.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
57.0ms
(/ (* x x) (+ (* x x) (* y y)))
76.0ms
(/ (* y y) (+ (* x x) (* y y)))

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
done2014
32014
21812
1473
0163

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

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

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

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

prune1.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.5b

regimes185.0ms

Accuracy

75.8% (4.8b remaining)

Error of 5.3b against oracle of 0.5b and baseline of 20.3b

bsearch172.0ms

Steps
ItersRangePoint
11
3.200664715459362e-185
4.0921714768388896e-165
4.0567724911730275e-165
5
-8.688890032834335e-156
-3.6517286354672326e-156
-6.704752375070274e-156
8
-3.407067328853733e+156
-2.9230384601346835e+152
-1.3379792666689724e+154

simplify8.0ms

Iterations
IterNodes
done27
127
021

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s8000×body80valid
339.0ms8000×pre80true