Details

Time bar (total: 10.5s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
057
176
done76

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize9.0ms

Local error

Found 1 expressions with local error:

13.8b
(/ x (fma x x 1.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
11.0ms
(/ x (fma x x 1.0))

series123.0ms

Counts
1 → 3
Calls
1 calls:
122.0ms
(/ x (fma x x 1.0))

simplify2.3s

Counts
32 → 32
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
068377
1132362
2327332
3764332
42008332
done5000332

prune105.0ms

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 3)))
0.1b
(/ 1.0 (pow x 5))
0.4b
(/ 1.0 (pow x 3))
18.9b
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

rewrite968.0ms

Algorithm
rewrite-expression-head
Rules
1773×times-frac
1273×add-sqr-sqrt
1222×*-un-lft-identity
1185×add-cube-cbrt
1040×prod-diff
522×associate-+l+
264×unpow-prod-down
252×cube-prod
112×div-inv
92×sqr-pow
82×cube-mult unpow3
30×difference-of-squares
21×fma-def
19×associate-/r*
14×add-exp-log
13×fma-neg
11×add-log-exp
distribute-lft-out--
add-cbrt-cube
div-exp associate-/l*
pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out
frac-add
cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg diff-log pow-exp clear-num sum-log frac-sub flip--
+-commutative associate-+l- flip3-+ flip-+
Counts
4 → 1245
Calls
4 calls:
89.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
8.0ms
(/ 1.0 (pow x 5))
14.0ms
(/ 1.0 (pow x 3))
665.0ms
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
60.0ms
(/ 1.0 (pow x 5))
46.0ms
(/ 1.0 (pow x 3))
48.0ms
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

simplify2.5s

Counts
1257 → 1257
Iterations

Useful iterations: done (2.4s)

IterNodesCost
079751194
1167840828
2355325274
done500124869

prune3.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.9b

bsearch65.0ms

Steps
ItersRangePoint
6
137362616.0762091
1297230358.0715733
194132570.49501014
7
-5.116469759964423e+33
-2.8897456288171165e+31
-3.4087103630608475e+32

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02044
12630
done2630

end0.0ms

sample461.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid