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
063
163

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.4b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

12.4b
(/ x (+ (* x x) 1.0))

rewrite6.0ms

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*
associate-/r/
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))

simplify52.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0165210
1555195
21839192
35001192

prune61.0ms

Filtered
32 candidates to 26 candidates (81.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New30232
Fresh000
Picked101
Done000
Total31233

Merged error: 0b

Counts
33 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (+ (* x x) 1.0)))
0.0b
(/ 1 (sqrt (+ (* x x) 1.0)))
12.3b
(sqrt (+ (* x x) 1.0))
12.3b
(sqrt (+ (* x x) 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
30×sqrt-prod
12×associate-/r*
10×add-exp-log
pow1 sqrt-div add-cbrt-cube
associate-/l*
flip3-+ associate-/r/ flip-+ add-log-exp
pow-flip sqrt-pow1 pow1/2 div-exp
cbrt-undiv rem-sqrt-square frac-2neg clear-num div-inv
rec-exp 1-exp inv-pow
Counts
4 → 118
Calls
4 calls:
7.0ms
(/ x (sqrt (+ (* x x) 1.0)))
11.0ms
(/ 1 (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series290.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(/ x (sqrt (+ (* x x) 1.0)))
77.0ms
(/ 1 (sqrt (+ (* x x) 1.0)))
47.0ms
(sqrt (+ (* x x) 1.0))
44.0ms
(sqrt (+ (* x x) 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0388973
11513893
25001855

prune237.0ms

Filtered
130 candidates to 85 candidates (65.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1300130
Fresh011
Picked011
Done000
Total1302132

Merged error: 0b

Counts
132 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (pow x 5))
0.6b
(/ 1 (pow x 3))
18.3b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
195×add-sqr-sqrt
173×times-frac
111×*-un-lft-identity
63×difference-of-squares
56×unpow-prod-down
46×add-cube-cbrt
40×sqr-pow
26×cube-prod
21×add-exp-log
19×associate-/r*
12×div-exp
add-cbrt-cube distribute-lft-out--
pow-to-exp rec-exp 1-exp pow-exp div-inv associate-/l*
add-log-exp
cube-mult unpow3
pow1
cbrt-undiv pow-flip frac-2neg clear-num inv-pow
sub-neg flip3-- diff-log frac-sub flip--
Counts
3 → 209
Calls
3 calls:
5.0ms
(/ 1 (pow x 5))
6.0ms
(/ 1 (pow x 3))
54.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ 1 (pow x 5))
36.0ms
(/ 1 (pow x 3))
97.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify62.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05461643
120351390
250011390

prune241.0ms

Filtered
218 candidates to 76 candidates (34.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2180218
Fresh000
Picked011
Done011
Total2182220

Merged error: 0b

Counts
220 → 2

regimes18.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.6b

bsearch66.0ms

Steps
ItersRangePoint
9
0.3235305135594418
1774840.6331059302
464.71461514553374
10
-85019.06990604498
-4.503960361653909e-11
-3914.142121382234

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03417
13417

end0.0ms

sample216.0ms

Algorithm
intervals
Results
134.0ms8000×body80valid