Details

Time bar (total: 7.8s)

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
05

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
10.0ms
(/ x (+ (* x x) 1))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ x (+ (* x x) 1))

simplify791.0ms

Counts
33 → 33
Iterations
IterNodes
done2011
32011
2562
1163
069

prune236.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x x) (* x x))
3.4b
(/ x (+ (* (* x x) (* x x)) -1))
22.3b
(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
116×pow1
36×pow-prod-up
27×add-sqr-sqrt
25×times-frac
24×pow-prod-down
22×*-un-lft-identity add-cbrt-cube add-exp-log pow-sqr
21×add-cube-cbrt
19×associate-*l*
18×pow-plus
13×pow2
10×prod-exp cbrt-unprod
7×difference-of-sqr--1 associate-*r*
4×associate-/r* associate-/r/
3×insert-posit16 associate-/l* add-log-exp unswap-sqr
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp associate-*r/ *-commutative flip-+ div-inv flip-- difference-of-squares
1×clear-num frac-2neg difference-of-sqr-1 swap-sqr associate-*l/
Counts
3 → 147
Calls
3 calls:
38.0ms
(* (* x x) (* x x))
32.0ms
(/ x (+ (* (* x x) (* x x)) -1))
129.0ms
(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))

series255.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (* x x) (* x x))
111.0ms
(/ x (+ (* (* x x) (* x x)) -1))
99.0ms
(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))

simplify1.2s

Counts
156 → 156
Iterations
IterNodes
done2000
22000
1600
0199

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ (/ 1 x) (* x x)))
0.1b
(/ (/ 1 x) (* x x))
0.1b
(/ 1 (pow x 5))
19.3b
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
65×add-sqr-sqrt
55×*-un-lft-identity
35×add-exp-log
34×add-cube-cbrt
18×pow1 add-cbrt-cube div-exp
16×associate-/l*
12×unpow-prod-down difference-of-squares
11×add-log-exp
10×div-inv
8×associate-/r* pow-div
7×cbrt-undiv
6×distribute-lft-out distribute-lft-out--
5×rec-exp 1-exp pow-flip inv-pow
4×prod-exp insert-posit16 sqr-pow
3×pow-to-exp frac-add pow-exp
2×pow2 associate-+l+ clear-num sum-log sub-neg frac-2neg pow-plus flip3-- diff-log pow-sqr pow-prod-up frac-sub cbrt-unprod flip--
1×+-commutative flip3-+ associate-+l- flip-+ associate-/l/
Counts
4 → 166
Calls
4 calls:
18.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
14.0ms
(/ (/ 1 x) (* x x))
12.0ms
(/ 1 (pow x 5))
137.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
60.0ms
(/ (/ 1 x) (* x x))
73.0ms
(/ 1 (pow x 5))
53.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

simplify1.3s

Counts
178 → 178
Iterations
IterNodes
done2001
32001
21694
1589
0263

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.2b

bsearch107.0ms

Steps
ItersRangePoint
8
4364471.442644652
31288399957.8659
13951219.631737411
8
-5.202561556038387e+21
-2.563255540849828e+17
-1.8453524061497666e+21

simplify7.0ms

Iterations
IterNodes
done25
125
018

end0.0ms

sample659.0ms

Algorithm
intervals
Results
520.0ms8000×body80valid