Details

Time bar (total: 13.4s)

sample28.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
05

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize7.0ms

Local error

Found 1 expressions with local error:

16.2b
(/ x (fma x x 1))

rewrite5.0ms

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*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
5.0ms
(/ x (fma x x 1))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ x (fma x x 1))

simplify1.0s

Counts
33 → 33
Iterations
IterNodes
done2001
42001
3982
2350
1123
063

prune236.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ (/ 1 x) (* x x)))
0.1b
(/ (/ 1 x) (* x x))
0.1b
(/ 1 (pow x 5))
19.3b
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
985×times-frac
550×add-sqr-sqrt
519×*-un-lft-identity
488×add-cube-cbrt
442×prod-diff
223×associate-+l+
98×div-inv
35×add-exp-log
24×difference-of-squares
18×pow1 add-cbrt-cube div-exp
17×fma-def
16×associate-/l*
13×fma-neg
12×unpow-prod-down
11×add-log-exp
8×associate-/r* distribute-lft-out-- pow-div
7×cbrt-undiv
6×distribute-lft-out
5×rec-exp 1-exp pow-flip inv-pow
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u sqr-pow
3×pow-to-exp frac-add pow-exp
2×pow2 clear-num sum-log sub-neg frac-2neg pow-plus flip3-- diff-log pow-sqr pow-prod-up frac-sub cbrt-unprod flip--
1×+-commutative flip3-+ associate-+l- flip-+ associate-/l/
Counts
4 → 646
Calls
4 calls:
36.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
11.0ms
(/ (/ 1 x) (* x x))
8.0ms
(/ 1 (pow x 5))
184.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
43.0ms
(/ (/ 1 x) (* x x))
82.0ms
(/ 1 (pow x 5))
48.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

simplify1.2s

Counts
658 → 658
Iterations
IterNodes
done2002
22002
11246
0541

prune7.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

6.1b
(log (exp (/ x (fma x x 1))))
16.2b
(/ x (fma x x 1))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
14×log-pow
13×exp-prod
4×add-cbrt-cube add-exp-log
3×pow1 log-prod associate-/r* associate-/l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp
Counts
2 → 58
Calls
2 calls:
9.0ms
(log (exp (/ x (fma x x 1))))
8.0ms
(/ x (fma x x 1))

series151.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(log (exp (/ x (fma x x 1))))
72.0ms
(/ x (fma x x 1))

simplify1.1s

Counts
64 → 64
Iterations
IterNodes
done2155
42155
31238
2448
1174
0107

prune456.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.2b

bsearch81.0ms

Steps
ItersRangePoint
8
4364471.442644652
31288399957.8659
13951219.631737411
8
-5.202561556038387e+21
-2.563255540849828e+17
-1.8453524061497666e+21

simplify7.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample781.0ms

Algorithm
intervals
Results
648.0ms8000×body80valid