Details

Time bar (total: 9.1s)

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize17.0ms

Local error

Found 1 expressions with local error:

12.9b
(/ x (+ (* x x) 1))

rewrite29.0ms

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:
27.0ms
(/ x (+ (* x x) 1))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ x (+ (* x x) 1))

simplify1.7s

Counts
33 → 33
Iterations
IterNodes
done5003
32410
2562
1163
069

prune151.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x x) (* x x))
2.5b
(/ x (- (* (* x x) (* x x)) 1))
19.3b
(* (/ x (- (* (* x x) (* x x)) 1)) (- (* x x) 1))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
116×pow1
38×add-sqr-sqrt
37×times-frac
36×pow-prod-up
33×*-un-lft-identity
25×associate-*l* add-cube-cbrt
24×pow-prod-down
22×add-cbrt-cube add-exp-log pow-sqr
18×pow-plus
16×difference-of-squares
13×pow2
10×prod-exp cbrt-unprod
8×difference-of-sqr-1
7×associate-*r*
6×associate-/r*
4×flip3-- associate-/r/ flip--
3×insert-posit16 associate-/l* add-log-exp unswap-sqr
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in div-exp associate-*r/ *-commutative div-inv
1×clear-num frac-2neg swap-sqr associate-*l/
Counts
3 → 161
Calls
3 calls:
32.0ms
(* (* x x) (* x x))
85.0ms
(/ x (- (* (* x x) (* x x)) 1))
233.0ms
(* (/ x (- (* (* x x) (* x x)) 1)) (- (* x x) 1))

series339.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* (* x x) (* x x))
148.0ms
(/ x (- (* (* x x) (* x x)) 1))
126.0ms
(* (/ x (- (* (* x x) (* x x)) 1)) (- (* x x) 1))

simplify2.0s

Counts
170 → 170
Iterations
IterNodes
done5034
22364
1624
0208

prune451.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ 1 x) (* x x))
0.2b
(/ 1 (pow x 5))
21.4b
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

rewrite385.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
44×*-un-lft-identity
34×add-exp-log
33×add-sqr-sqrt add-cube-cbrt
18×div-exp
17×pow1 add-cbrt-cube
16×associate-/l*
12×unpow-prod-down
9×div-inv
8×associate-/r* add-log-exp pow-div
7×cbrt-undiv
6×distribute-lft-out
5×rec-exp 1-exp pow-flip inv-pow
4×prod-exp distribute-lft-out-- sqr-pow
3×pow-to-exp frac-add pow-exp insert-posit16
2×pow2 associate-+l+ clear-num sum-log frac-2neg pow-plus pow-sqr pow-prod-up cbrt-unprod
1×+-commutative sub-neg flip3-+ flip3-- diff-log frac-sub associate-+l- flip-+ flip-- associate-/l/
Counts
3 → 138
Calls
3 calls:
20.0ms
(/ (/ 1 x) (* x x))
8.0ms
(/ 1 (pow x 5))
348.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

series536.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (/ 1 x) (* x x))
420.0ms
(/ 1 (pow x 5))
65.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

simplify2.0s

Counts
147 → 147
Iterations
IterNodes
done5001
21468
1529
0232

prune459.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.5b

bsearch107.0ms

Steps
ItersRangePoint
10
1.508099977930646e-06
2590629949647.022
550.3164734619313
10
-26711381.42537418
-6.803810524357175e-07
-10475.553363070068

simplify7.0ms

Iterations
IterNodes
done28
128
021

end0.0ms

sample476.0ms

Algorithm
intervals
Results
371.0ms8000×body80valid