Details

Time bar (total: 1.5s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize5.0ms

Local error

Found 1 expressions with local error:

13.8b
(/ x (+ (* x x) 1.0))

rewrite14.0ms

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:
14.0ms
(/ x (+ (* x x) 1.0))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ x (+ (* x x) 1.0))

simplify48.0ms

Counts
32 → 32

prune62.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
0.1b
(/ 1 (pow x 5))
0.4b
(/ 1 (pow x 3))
18.9b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
196×add-sqr-sqrt
173×times-frac
112×*-un-lft-identity
63×difference-of-squares
56×unpow-prod-down
47×add-cube-cbrt
40×sqr-pow
26×cube-prod
22×add-exp-log
19×associate-/r*
12×div-exp
8×add-cbrt-cube add-log-exp
7×distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp div-inv associate-/l*
4×pow1 cube-mult associate-+l+ unpow3
3×sub-neg associate-*r/ frac-add
2×cbrt-undiv distribute-rgt-in flip3-- pow-flip frac-2neg distribute-lft-in clear-num frac-sub flip-- inv-pow
1×+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 227
Calls
4 calls:
82.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
8.0ms
(/ 1 (pow x 5))
9.0ms
(/ 1 (pow x 3))
83.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
52.0ms
(/ 1 (pow x 5))
35.0ms
(/ 1 (pow x 3))
106.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify84.0ms

Counts
239 → 239

prune306.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

100% (0.0b remaining)

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

bsearch42.0ms

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

simplify1.0ms

end0.0ms

sample372.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid