Details

Time bar (total: 9.9s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
24.0ms
(/ x (+ (* x x) 1.0))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ x (+ (* x x) 1.0))

simplify2.8s

Counts
32 → 32
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
074428
1167413
2438373
31017373
42805373
done5000373

prune92.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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:
15.0ms
(/ 1 (+ (* x x) 1.0))
53.0ms
(* x (/ 1 (+ (* x x) 1.0)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ 1 (+ (* x x) 1.0))
87.0ms
(* x (/ 1 (+ (* x x) 1.0)))

simplify3.0s

Counts
77 → 77
Iterations

Useful iterations: 3 (652.0ms)

IterNodesCost
0128985
1308827
2725727
31770725
done5000725

prune179.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ 1.0 (pow x 3)))
0.0b
(/ 1.0 (pow x 5))
0.2b
(/ 1.0 (pow x 3))
17.3b
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

rewrite601.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
84×times-frac
70×*-un-lft-identity
45×add-cube-cbrt
27×unpow-prod-down
19×associate-/r*
15×cube-prod difference-of-squares
14×add-exp-log
11×add-log-exp sqr-pow
8×add-cbrt-cube
6×div-exp associate-/l* distribute-lft-out--
4×pow1 cube-mult unpow3 div-inv distribute-lft-out
3×frac-add
2×cbrt-undiv pow-to-exp sub-neg associate-+l+ flip3-- frac-2neg diff-log pow-exp clear-num sum-log frac-sub flip--
1×+-commutative associate-+l- flip3-+ flip-+
Counts
4 → 163
Calls
4 calls:
58.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
15.0ms
(/ 1.0 (pow x 5))
17.0ms
(/ 1.0 (pow x 3))
498.0ms
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
57.0ms
(/ 1.0 (pow x 5))
54.0ms
(/ 1.0 (pow x 3))
58.0ms
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

simplify1.4s

Counts
175 → 175
Iterations

Useful iterations: 2 (481.0ms)

IterNodesCost
02512490
15092209
214592125
done50002125

prune494.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

100% (0.0b remaining)

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

bsearch94.0ms

Steps
ItersRangePoint
9
0.0033303272193615503
311302.39110615524
568.3518365384376
9
-4551155589554.198
-15029321.238022974
-3416824020916.5903

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02247
13033
done3033

end0.0ms

sample525.0ms

Algorithm
intervals
Results
337.0ms8000×body80valid