Details

Time bar (total: 9.5s)

sample20.0ms

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: 17.3b

localize9.0ms

Local error

Found 1 expressions with local error:

17.3b
(/ x (+ (* x x) 1.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
26.0ms
(/ x (+ (* x x) 1.0))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ x (+ (* x x) 1.0))

simplify2.6s

Counts
32 → 32
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
074428
1167413
2438373
31017373
42805373
done5000373

prune97.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (+ (* x x) 1.0))
17.0b
(* x (/ 1 (+ (* x x) 1.0)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
19.0ms
(/ 1 (+ (* x x) 1.0))
65.0ms
(* x (/ 1 (+ (* x x) 1.0)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ 1 (+ (* x x) 1.0))
83.0ms
(* x (/ 1 (+ (* x x) 1.0)))

simplify2.9s

Counts
77 → 77
Iterations

Useful iterations: 3 (688.0ms)

IterNodesCost
0128985
1308827
2725727
31770725
done5000725

prune164.0ms

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))))
0.0b
(/ 1.0 (pow x 5))
0.2b
(/ 1.0 (pow x 3))
17.3b
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

rewrite449.0ms

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
8×add-cbrt-cube distribute-lft-out--
6×div-exp div-inv associate-/l*
5×distribute-lft-out
4×pow1 cube-mult unpow3
3×frac-add
2×cbrt-undiv pow-to-exp sub-neg associate-+r+ flip3-- frac-2neg diff-log pow-exp clear-num sum-log frac-sub flip--
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 171
Calls
4 calls:
288.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
15.0ms
(/ 1.0 (pow x 5))
17.0ms
(/ 1.0 (pow x 3))
121.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
62.0ms
(/ 1.0 (pow x 5))
60.0ms
(/ 1.0 (pow x 3))
206.0ms
(- (/ 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

prune606.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.6b

bsearch100.0ms

Steps
ItersRangePoint
9
0.0033303272193615503
311302.39110615524
780.2110112890141
9
-4551155589554.198
-15029321.238022974
-3416824020916.5903

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02247
13033
done3033

end0.0ms

sample532.0ms

Algorithm
intervals
Results
374.0ms8000×body80valid