Details

Time bar (total: 6.4s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize9.0ms

Local error

Found 1 expressions with local error:

13.8b
(/ x (+ (* x x) 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
28.0ms
(/ x (+ (* x x) 1.0))

series115.0ms

Counts
1 → 3
Calls
1 calls:
115.0ms
(/ x (+ (* x x) 1.0))

simplify2.7s

Counts
32 → 32
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
074428
1167413
2438373
31017373
42805373
done5000373

prune71.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
0.1b
(/ 1.0 (pow x 5))
0.4b
(/ 1.0 (pow x 3))
18.9b
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

rewrite424.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
97×times-frac
69×*-un-lft-identity
47×add-cube-cbrt
33×unpow-prod-down
20×difference-of-squares
19×associate-/r*
17×sqr-pow
16×cube-prod
14×add-exp-log
11×add-log-exp
add-cbrt-cube distribute-lft-out--
div-exp div-inv associate-/l*
distribute-lft-out
pow1 cube-mult unpow3
frac-add
cbrt-undiv pow-to-exp sub-neg associate-+r+ flip3-- frac-2neg diff-log pow-exp clear-num sum-log frac-sub flip--
+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 171
Calls
4 calls:
279.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
7.0ms
(/ 1.0 (pow x 5))
8.0ms
(/ 1.0 (pow x 3))
121.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
91.0ms
(/ 1.0 (pow x 5))
50.0ms
(/ 1.0 (pow x 3))
169.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify1.2s

Counts
183 → 183
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02572827
15522514
215132422
done50002416

prune581.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

100% (0.0b remaining)

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

bsearch57.0ms

Steps
ItersRangePoint
6
137362616.0762091
1297230358.0715733
194132570.49501014
7
-5.116469759964423e+33
-2.8897456288171165e+31
-3.4087103630608475e+32

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02145
12831
done2831

end0.0ms

sample614.0ms

Algorithm
intervals
Results
402.0ms8000×body80valid