Details

Time bar (total: 5.5s)

sample16.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize16.0ms

Local error

Found 1 expressions with local error:

16.2b
(/ x (+ (* x x) 1))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
20.0ms
(/ x (+ (* x x) 1))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ x (+ (* x x) 1))

simplify1.6s

Counts
33 → 33
Iterations
IterNodes
done5003
32410
2562
1163
069

prune149.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.1b
(/ 1 (pow x 5))
0.4b
(/ 1 (* x (* x x)))
17.8b
(+ (- (/ 1 x) (/ 1 (* x (* x x)))) (/ 1 (pow x 5)))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
38×*-un-lft-identity
33×pow1
24×add-sqr-sqrt times-frac
23×add-cube-cbrt
20×add-cbrt-cube
15×div-inv
12×unpow-prod-down div-exp prod-exp
10×pow-prod-up distribute-lft-out
9×pow-flip add-log-exp
8×associate-/r* distribute-lft-out--
6×rec-exp 1-exp pow-prod-down cbrt-unprod associate-/l*
4×cbrt-undiv insert-posit16 sqr-pow
3×pow-to-exp associate-*l* frac-add pow-exp
2×pow2 associate-+l+ clear-num sum-log frac-2neg pow-plus cube-unmult pow-sqr inv-pow
1×+-commutative sub-neg flip3-+ flip3-- diff-log associate-*r* *-commutative frac-sub associate-+l- flip-+ flip-- unswap-sqr
Counts
4 → 147
Calls
4 calls:
18.0ms
(* x (* x x))
6.0ms
(/ 1 (pow x 5))
30.0ms
(/ 1 (* x (* x x)))
165.0ms
(+ (- (/ 1 x) (/ 1 (* x (* x x)))) (/ 1 (pow x 5)))

series240.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* x (* x x))
62.0ms
(/ 1 (pow x 5))
54.0ms
(/ 1 (* x (* x x)))
69.0ms
(+ (- (/ 1 x) (/ 1 (* x (* x x)))) (/ 1 (pow x 5)))

simplify1.4s

Counts
159 → 159
Iterations
IterNodes
done5051
21928
1520
0203

prune438.0ms

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 14.3b

bsearch112.0ms

Steps
ItersRangePoint
10
2.618543036730298e-08
12461.173664998358
665.7378871081933
9
-1.0272784703264377e+25
-1.0655363365485027e+18
-7.450745238348297e+24

simplify7.0ms

Iterations
IterNodes
done27
127
019

end0.0ms

sample1.1s

Algorithm
intervals
Results
962.0ms8000×body80valid