Details

Time bar (total: 4.8s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05122
16122
done6122

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize6.0ms

Local error

Found 1 expressions with local error:

13.8b
(/ x (+ (* x x) 1.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
associate-/r* add-cbrt-cube add-exp-log associate-/l*
associate-/r/
pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ x (+ (* x x) 1.0))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(/ x (+ (* x x) 1.0))

simplify1.4s

Counts
32 → 32
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0749614
11838647
27838447
done50008407

prune135.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.2b
(/ 1.0 (pow x 5))
0.3b
(/ 1.0 (* x (* x x)))
19.1b
(- (/ 1.0 (pow x 5)) (/ 1.0 (* x (* x x))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×times-frac
25×*-un-lft-identity
23×add-exp-log add-cube-cbrt
20×add-cbrt-cube
18×pow1
13×unpow-prod-down
associate-/r*
div-exp prod-exp cbrt-unprod associate-/l* add-log-exp
pow-prod-up sqr-pow
cbrt-undiv div-inv difference-of-squares
associate-*l* pow-prod-down
clear-num frac-2neg distribute-lft-out--
pow2 pow-to-exp sub-neg pow-plus flip3-- diff-log cube-unmult associate-*r* pow-exp pow-sqr *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 111
Calls
4 calls:
24.0ms
(* x (* x x))
11.0ms
(/ 1.0 (pow x 5))
24.0ms
(/ 1.0 (* x (* x x)))
49.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (* x (* x x))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* x (* x x))
77.0ms
(/ 1.0 (pow x 5))
69.0ms
(/ 1.0 (* x (* x x)))
218.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (* x (* x x))))

simplify1.5s

Counts
123 → 123
Iterations

Useful iterations: 2 (607.0ms)

IterNodesCost
017644863
141640632
2226039581
done500139701

prune420.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.8b

bsearch81.0ms

Steps
ItersRangePoint
8
160.65039477392645
261980.93535209994
8124.998191315609
9
-6.2573470230411204e+22
-83422883652835.42
-5.71370680105489e+22

simplify11.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
020836
128836
done28836

end0.0ms

sample490.0ms

Algorithm
intervals
Results
343.0ms8000×body80valid