Details

Time bar (total: 1.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×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: 14.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

14.3b
(/ 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))

simplify54.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0165210
1555195
21839192
35001192

prune59.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

14.2b
(sqrt (+ (* x x) 1.0))
14.2b
(sqrt (+ (* x x) 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt sqrt-prod
4×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
2×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
2 → 30
Calls
2 calls:
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series89.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(sqrt (+ (* x x) 1.0))
47.0ms
(sqrt (+ (* x x) 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0135208
1431204
21922200
35001198

prune69.0ms

Filtered
36 candidates to 30 candidates (83.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New36036
Fresh011
Picked011
Done000
Total36238

Merged error: 0b

Counts
38 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (pow x 5))
0.4b
(/ 1 (pow x 3))
18.0b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite72.0ms

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
7×add-cbrt-cube distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp div-inv associate-/l*
5×add-log-exp
4×cube-mult unpow3
3×pow1
2×cbrt-undiv pow-flip frac-2neg clear-num inv-pow
1×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))
48.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series172.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 1 (pow x 5))
31.0ms
(/ 1 (pow x 3))
96.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify62.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05461643
120351390
250011390

prune195.0ms

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

regimes17.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.4b

bsearch62.0ms

Steps
ItersRangePoint
10
6.398614580632226
3002406562115.273
438.6757756148504
8
-8.290771990934074e+157
-1.320643602826964e+154
-1.337062526028986e+154

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03216
13216

end0.0ms

sample260.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid