Details

Time bar (total: 1.7s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
173

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize7.0ms

Local error

Found 1 expressions with local error:

13.4b
(/ x (+ (* x x) 1.0))

rewrite6.0ms

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:
6.0ms
(/ x (+ (* x x) 1.0))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ x (+ (* x x) 1.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0171215
1589196
21979191
35002186

prune71.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (pow x 3))
0.1b
(/ 1 (pow x 5))
20.8b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
1934×times-frac
1319×add-sqr-sqrt
1235×*-un-lft-identity
1170×add-cube-cbrt
1000×prod-diff
650×unpow-prod-down
251×cube-prod
238×sqr-pow
79×cube-mult unpow3
72×div-inv
63×difference-of-squares
25×fma-neg
21×add-exp-log
19×associate-/r*
12×div-exp
7×add-cbrt-cube distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv pow-flip frac-2neg clear-num inv-pow
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
3 → 1240
Calls
3 calls:
6.0ms
(/ 1 (pow x 3))
5.0ms
(/ 1 (pow x 5))
77.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (pow x 3))
42.0ms
(/ 1 (pow x 5))
103.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify262.0ms

Algorithm
egg-herbie
Counts
1249 → 1249
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0238131548
1500118062

prune453.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch56.0ms

Steps
ItersRangePoint
8
21.660028671588154
6793.132116615613
447.85106598207193
9
-2.8164584158913404e+35
-7.755278215516031e+26
-1.2413175172469135e+31

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
12710

end0.0ms

sample224.0ms

Algorithm
intervals
Results
142.0ms8000×body80valid