Details

Time bar (total: 13.5s)

sample28.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
28
18
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize16.0ms

Local error

Found 1 expressions with local error:

18.3b
(/ 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))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ x (+ (* x x) 1))

simplify1.2s

Counts
33 → 33
Iterations
IterNodes
42726
3839
2333
1149
069

prune207.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (+ (* x x) 1))
17.5b
(* x (/ 1 (+ (* x x) 1)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×associate-*r* add-exp-log
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ insert-posit16 div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 73
Calls
2 calls:
15.0ms
(/ 1 (+ (* x x) 1))
24.0ms
(* x (/ 1 (+ (* x x) 1)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ 1 (+ (* x x) 1))
49.0ms
(* x (/ 1 (+ (* x x) 1)))

simplify1.8s

Counts
79 → 79
Iterations
IterNodes
43561
31501
2705
1282
0119

prune536.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 x) (* x x))
0.1b
(* (* x x) (* x x))
0.4b
(/ 1 (* x (* (* x x) (* x x))))
16.8b
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* x (* (* x x) (* x x)))))

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
226×pow1
101×add-exp-log
88×pow-prod-up
53×add-cbrt-cube
51×prod-exp
40×pow-sqr
36×pow-prod-down
34×times-frac
32×pow-plus pow-flip
31×*-un-lft-identity
25×pow2
24×div-exp
23×cbrt-unprod
20×add-sqr-sqrt add-cube-cbrt
16×associate-/l*
12×cbrt-undiv
9×div-inv add-log-exp
8×rec-exp 1-exp pow-div
6×distribute-lft-out
5×inv-pow
4×insert-posit16 distribute-lft-out--
3×frac-add
2×associate-+l+ clear-num associate-/r* sum-log frac-2neg
1×+-commutative sub-neg flip3-+ flip3-- diff-log swap-sqr associate-*r* associate-*l* *-commutative frac-sub associate-+l- flip-+ flip-- unswap-sqr associate-/l/
Counts
4 → 219
Calls
4 calls:
14.0ms
(/ (/ 1 x) (* x x))
23.0ms
(* (* x x) (* x x))
143.0ms
(/ 1 (* x (* (* x x) (* x x))))
178.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* x (* (* x x) (* x x)))))

series220.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (/ 1 x) (* x x))
48.0ms
(* (* x x) (* x x))
64.0ms
(/ 1 (* x (* (* x x) (* x x))))
48.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* x (* (* x x) (* x x)))))

simplify6.2s

Counts
231 → 231
Iterations
IterNodes
38603
21946
1769
0279

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

99.9% (0.0b remaining)

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

bsearch131.0ms

Steps
ItersRangePoint
9
0.08974485042074802
9369.000823706243
415.7689475654002
11
-2.637695780548612e+29
-15521.296822102611
-8.90036294001547e+25

simplify8.0ms

Iterations
IterNodes
228
128
019

end0.0ms

sample667.0ms

Algorithm
intervals
Results
556.0ms8000×body80valid