Details

Time bar (total: 6.8s)

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize8.0ms

Local error

Found 1 expressions with local error:

13.7b
(/ x (+ (* x x) 1))

rewrite11.0ms

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:
11.0ms
(/ x (+ (* x x) 1))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ x (+ (* x x) 1))

simplify919.0ms

Counts
33 → 33
Iterations
IterNodes
done5001
2690
1173
069

prune148.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ (* x x) 1) x))
13.7b
(/ (+ (* x x) 1) x)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp associate-/l/
1×flip3-+ associate-/r/ flip-+ pow-flip inv-pow
Counts
2 → 107
Calls
2 calls:
24.0ms
(/ 1 (/ (+ (* x x) 1) x))
38.0ms
(/ (+ (* x x) 1) x)

series160.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1 (/ (+ (* x x) 1) x))
108.0ms
(/ (+ (* x x) 1) x)

simplify1.2s

Counts
113 → 113
Iterations
IterNodes
done5000
22467
1447
0166

prune348.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1 (+ x (/ 1 x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
15×times-frac
11×add-sqr-sqrt add-cube-cbrt
8×distribute-lft-out
5×associate-/r* add-exp-log div-inv
3×add-cbrt-cube associate-/l*
2×pow1 div-exp associate-/r/
1×cbrt-undiv rec-exp clear-num frac-2neg flip3-+ 1-exp flip-+ insert-posit16 pow-flip inv-pow add-log-exp
Counts
1 → 42
Calls
1 calls:
27.0ms
(/ 1 (+ x (/ 1 x)))

series43.0ms

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

simplify997.0ms

Counts
45 → 45
Iterations
IterNodes
done5000
2725
1153
067

prune132.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x x) (* x x))
3.3b
(/ x (- (* (* x x) (* x x)) 1))
17.7b
(* (/ x (- (* (* x x) (* x x)) 1)) (- (* x x) 1))

rewrite350.0ms

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:
37.0ms
(* (* x x) (* x x))
70.0ms
(/ x (- (* (* x x) (* x x)) 1))
240.0ms
(* (/ x (- (* (* x x) (* x x)) 1)) (- (* x x) 1))

series325.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* (* x x) (* x x))
140.0ms
(/ x (- (* (* x x) (* x x)) 1))
126.0ms
(* (/ x (- (* (* x x) (* x x)) 1)) (- (* x x) 1))

simplify873.0ms

Counts
170 → 170
Iterations
IterNodes
done5000
1650
0208

prune387.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
05

end0.0ms

sample632.0ms

Algorithm
intervals
Results
530.0ms8000×body80valid