Details

Time bar (total: 6.3s)

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify198.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11719
23519
36719
411119
515819
617319
717419
done17419

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize9.0ms

Local error

Found 2 expressions with local error:

4.8b
(- (* x x) (* (* y 4.0) y))
29.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
13.0ms
(- (* x x) (* (* y 4.0) y))
42.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(- (* x x) (* (* y 4.0) y))
91.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify2.5s

Counts
50 → 50
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0821196
12201174
27381060
327121056
done50001042

prune174.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
22.3b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
24.2b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
9×*-un-lft-identity
8×associate-/r/
7×add-cube-cbrt times-frac
6×associate-/r*
5×cbrt-undiv div-exp add-log-exp
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv
3×pow1 distribute-rgt-out--
2×frac-2neg clear-num associate-/l* difference-of-squares
1×sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
3 → 68
Calls
3 calls:
119.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
23.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
38.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series252.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
74.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
84.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify1.5s

Counts
77 → 77
Iterations

Useful iterations: 2 (245.0ms)

IterNodesCost
01301924
13501812
213131590
done50001590

prune255.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.1b

regimes138.0ms

Accuracy

60.4% (12.3b remaining)

Error of 12.7b against oracle of 0.4b and baseline of 31.5b

bsearch90.0ms

Steps
ItersRangePoint
7
7.667612480867842e+213
1.0761320024420297e+216
9.415768721852471e+215
7
1.672354884054391e+114
1.8199036003102053e+116
1.7563388863584677e+115
9
1.3903076658501037e+61
3.866220853048e+67
3.8100036437198633e+67
8
3.1937980297225763e-192
1.8545825257759518e-189
3.4146233179475937e-192

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02594
13094
done3094

end0.0ms

sample734.0ms

Algorithm
intervals
Results
547.0ms8000×body80valid