Details

Time bar (total: 21.4s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
057
176
done76

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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 expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
29.0ms
(/ x (+ (* x x) 1.0))

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(/ x (+ (* x x) 1.0))

simplify2.9s

Counts
34 → 34
Iterations

Useful iterations: 2 (126.0ms)

IterNodesCost
076444
1173384
2462350
31120350
43306350
done5000350

prune92.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u 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:
11.0ms
(/ 1 (fma x x 1.0))
17.0ms
(* x (/ 1 (fma x x 1.0)))

series176.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ 1 (fma x x 1.0))
119.0ms
(* x (/ 1 (fma x x 1.0)))

simplify4.7s

Counts
77 → 77
Iterations

Useful iterations: 4 (3.1s)

IterNodesCost
0122880
1271729
2614643
31479642
44344641
done5000641

prune189.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
3607×times-frac
2350×add-sqr-sqrt
2310×*-un-lft-identity
2288×add-cube-cbrt
2000×prod-diff
1212×unpow-prod-down
1002×associate-+r+
466×cube-prod
410×sqr-pow
154×cube-mult unpow3
138×div-inv
25×fma-neg
20×difference-of-squares
19×associate-/r*
14×add-exp-log
13×fma-def
11×add-log-exp
8×add-cbrt-cube distribute-lft-out--
6×div-exp associate-/l*
5×distribute-lft-out
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-add
2×cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg diff-log pow-exp clear-num sum-log frac-sub flip--
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 2217
Calls
4 calls:
486.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
8.0ms
(/ 1.0 (pow x 5))
16.0ms
(/ 1.0 (pow x 3))
156.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series441.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
92.0ms
(/ 1.0 (pow x 5))
73.0ms
(/ 1.0 (pow x 3))
193.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify3.7s

Counts
2229 → 2229
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0193499537
1367482886
done500063850

prune6.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes381.0ms

Accuracy

100% (0.0b remaining)

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

bsearch68.0ms

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

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02146
12832
done2832

end0.0ms

sample539.0ms

Algorithm
intervals
Results
278.0ms8000×body80valid