Details

Time bar (total: 1.9s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize4.0ms

Local error

Found 1 expressions with local error:

16.0b
(/ x (+ (* x x) 1.0))

rewrite7.0ms

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

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ x (+ (* x x) 1.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0165210
1555195
21839192
35001192

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
0.0b
(/ x (sqrt (+ (* x x) 1.0)))
15.9b
(sqrt (+ (* x x) 1.0))
15.9b
(sqrt (+ (* x x) 1.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 262
Calls
4 calls:
21.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
6.0ms
(/ x (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
5.0ms
(sqrt (+ (* x x) 1.0))

series269.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
118.0ms
(/ x (sqrt (+ (* x x) 1.0)))
48.0ms
(sqrt (+ (* x x) 1.0))
42.0ms
(sqrt (+ (* x x) 1.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
07743878
129623482
250013411

prune409.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1.0 (pow x 5))
0.5b
(/ 1 (pow x 3))
20.1b
(+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
46×*-un-lft-identity
44×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down
19×associate-/r*
17×add-exp-log
12×cube-prod
9×div-exp
8×add-log-exp sqr-pow
7×add-cbrt-cube
6×associate-/l*
4×cube-mult pow-to-exp unpow3 frac-add pow-exp
3×pow1 rec-exp 1-exp
2×cbrt-undiv associate-+l+ frac-2neg clear-num sum-log frac-sub div-inv
1×+-commutative associate-+l- sub-neg flip3-- pow-flip flip3-+ diff-log associate-*r/ un-div-inv flip-- flip-+ distribute-lft-out inv-pow
Counts
3 → 138
Calls
3 calls:
3.0ms
(/ 1.0 (pow x 5))
5.0ms
(/ 1 (pow x 3))
50.0ms
(+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ 1.0 (pow x 5))
30.0ms
(/ 1 (pow x 3))
46.0ms
(+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5)))

simplify80.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0488851
12696730
25002722

prune237.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

99.9% (0.0b remaining)

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

bsearch50.0ms

Steps
ItersRangePoint
9
0.006665254470786589
7065.8830381017015
747.6685893884761
6
-4.314447465097623e+28
-6.322962747029278e+27
-4.227413858499078e+28

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03011
13011

end0.0ms

sample214.0ms

Algorithm
intervals
Results
130.0ms8000×body80valid