Details

Time bar (total: 6.0s)

sample23.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize10.0ms

Local error

Found 1 expressions with local error:

15.0b
(/ 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:
4.0ms
(/ x (fma x x 1))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ x (fma x x 1))

simplify637.0ms

Counts
33 → 33
Iterations
IterNodes
done2001
3982
2350
1123
063

prune144.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sqrt (fma x x 1)))
14.9b
(sqrt (fma x x 1))
14.9b
(sqrt (fma x x 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×associate-/r*
5×pow1 add-cbrt-cube add-exp-log
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 74
Calls
3 calls:
5.0ms
(/ x (sqrt (fma x x 1)))
1.0ms
(sqrt (fma x x 1))
2.0ms
(sqrt (fma x x 1))

series203.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(/ x (sqrt (fma x x 1)))
54.0ms
(sqrt (fma x x 1))
56.0ms
(sqrt (fma x x 1))

simplify927.0ms

Counts
83 → 83
Iterations
IterNodes
done2000
31748
2598
1217
0107

prune362.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (/ (sqrt (fma x x 1)) x))
14.9b
(sqrt (fma x x 1))
14.9b
(sqrt (fma x x 1))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
82×add-sqr-sqrt
80×*-un-lft-identity add-cube-cbrt
42×sqrt-prod
22×associate-/r*
14×add-exp-log
8×add-cbrt-cube
7×div-exp
6×pow1
5×div-inv
3×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp
1×clear-num frac-2neg associate-/r/ pow-flip inv-pow
Counts
3 → 147
Calls
3 calls:
19.0ms
(/ 1 (/ (sqrt (fma x x 1)) x))
1.0ms
(sqrt (fma x x 1))
1.0ms
(sqrt (fma x x 1))

series234.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(/ 1 (/ (sqrt (fma x x 1)) x))
64.0ms
(sqrt (fma x x 1))
44.0ms
(sqrt (fma x x 1))

simplify895.0ms

Counts
156 → 156
Iterations
IterNodes
done2002
21220
1541
0218

prune560.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* x x))
17.6b
(+ (- x (* x (* x x))) (pow x 5))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×*-un-lft-identity add-cbrt-cube add-exp-log add-log-exp
6×add-sqr-sqrt
5×associate-+l+ pow-prod-up add-cube-cbrt
3×fma-def associate-*l* prod-diff pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sum-log insert-posit16 log1p-expm1-u
1×pow2 +-commutative sub-neg flip3-+ pow-plus diff-log cube-unmult associate-*r* pow-sqr *-commutative associate-+l- flip-+ distribute-lft-out unswap-sqr
Counts
2 → 52
Calls
2 calls:
28.0ms
(* x (* x x))
38.0ms
(+ (- x (* x (* x x))) (pow x 5))

series121.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (* x x))
82.0ms
(+ (- x (* x (* x x))) (pow x 5))

simplify517.0ms

Counts
58 → 58
Iterations
IterNodes
done2001
2577
1178
076

prune195.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.3b

bsearch116.0ms

Steps
ItersRangePoint
11
0.0038666078177206752
9.350013159855062e+31
1626101.3987142143
9
-9.085603498737435e+154
-7.806260788625035e+148
-1.3379998661029618e+154

simplify7.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample768.0ms

Algorithm
intervals
Results
591.0ms8000×body80valid