Details

Time bar (total: 7.9s)

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify333.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0919
11918
23918
37718
412818
518418
621118
721618
done21618

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize18.0ms

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)))

rewrite72.0ms

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 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ fma-neg diff-log div-sub div-exp prod-diff clear-num flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
18.0ms
(- (* x x) (* (* y 4.0) y))
52.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series220.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(- (* x x) (* (* y 4.0) y))
132.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify2.9s

Counts
56 → 56
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0911282
12371205
28811090
334631085
done50001085

prune250.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
49×prod-diff
41×add-sqr-sqrt
39×*-un-lft-identity
37×add-cube-cbrt
19×div-inv
17×add-exp-log add-cbrt-cube
7×fma-neg
6×associate-/r*
5×cbrt-undiv div-exp add-log-exp
4×prod-exp cbrt-unprod
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num associate-/l* difference-of-squares
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
3 → 124
Calls
3 calls:
57.0ms
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
20.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))
42.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))

series345.0ms

Counts
3 → 9
Calls
3 calls:
137.0ms
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
102.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))
105.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))

simplify1.9s

Counts
133 → 133
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02027019
15005841
217174714
done50003980

prune426.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize0.0ms

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

prune1.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize0.0ms

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.1b

regimes147.0ms

Accuracy

60.4% (12.3b remaining)

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

bsearch127.0ms

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

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02489
12889
done2889

end0.0ms

sample855.0ms

Algorithm
intervals
Results
638.0ms8000×body80valid