Details

Time bar (total: 6.5s)

sample26.0ms

Algorithm
intervals
Results
17.0ms256×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: 15.4b

localize20.0ms

Local error

Found 1 expressions with local error:

15.4b
(/ 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))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ x (+ (* x x) 1))

simplify856.0ms

Counts
33 → 33
Iterations
IterNodes
done2011
32011
2562
1163
069

prune137.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sqrt (+ (* x x) 1)))
15.4b
(sqrt (+ (* x x) 1))
15.4b
(sqrt (+ (* x x) 1))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×associate-/r* sqrt-div
5×pow1 add-cbrt-cube add-exp-log
3×flip3-+ flip-+ insert-posit16 associate-/l* add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 74
Calls
3 calls:
11.0ms
(/ x (sqrt (+ (* x x) 1)))
11.0ms
(sqrt (+ (* x x) 1))
8.0ms
(sqrt (+ (* x x) 1))

series164.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ x (sqrt (+ (* x x) 1)))
44.0ms
(sqrt (+ (* x x) 1))
46.0ms
(sqrt (+ (* x x) 1))

simplify1.3s

Counts
83 → 83
Iterations
IterNodes
done2004
42004
31858
2647
1262
0119

prune333.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ (/ 1 x) (* x x)))
0.1b
(/ (/ 1 x) (* x x))
0.2b
(/ 1 (pow x 5))
21.2b
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

rewrite198.0ms

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:
34.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
22.0ms
(/ (/ 1 x) (* x x))
8.0ms
(/ 1 (pow x 5))
131.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
72.0ms
(/ (/ 1 x) (* x x))
62.0ms
(/ 1 (pow x 5))
43.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

simplify1.4s

Counts
178 → 178
Iterations
IterNodes
done2001
32001
21694
1589
0263

prune546.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.9b

bsearch83.0ms

Steps
ItersRangePoint
10
3.4946005567744297e-15
48819.349325626084
450.35164288801093
9
-6838974.188497498
-0.005838610583870787
-31939.41578853163

simplify5.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample1.1s

Algorithm
intervals
Results
553.0ms8000×body80valid