Details

Time bar (total: 1.2s)

sample13.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.2b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

14.2b
(/ 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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ x (+ (* x x) 1.0))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ x (+ (* x x) 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0165210
1555195
21825192
35001192

prune53.0ms

Filtered
26 candidates to 32 candidates (-23.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(/ (cbrt x) (+ (* x x) 1.0))
12.3b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×flip3-+ pow1/3 flip-+ div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(/ (cbrt x) (+ (* x x) 1.0))
15.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
21.0ms
(cbrt x)
16.0ms
(/ (cbrt x) (+ (* x x) 1.0))
7.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05081064
12494966
25001909

prune145.0ms

Filtered
98 candidates to 122 candidates (-24.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done011
Total1223125

Merged error: 0b

Counts
125 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (pow x 3))
0.2b
(/ 1 (pow x 5))
20.5b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite64.0ms

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 3))
5.0ms
(/ 1 (pow x 5))
43.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ 1 (pow x 3))
4.0ms
(/ 1 (pow x 5))
11.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify61.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05461617
120351364
250011364

prune180.0ms

Filtered
78 candidates to 218 candidates (-179.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2180218
Fresh000
Picked011
Done022
Total2183221

Merged error: 0b

Counts
221 → 3

regimes77.0ms

Accuracy

100% (0.0b remaining)

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

bsearch39.0ms

Steps
ItersRangePoint
9
3.948517432939656e-06
2243.3436189396953
524.1348644888611
8
-7.955283401182826e+22
-1.3015467334208967e+20
-3.0256238156272034e+21

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03011
13011

end0.0ms

sample308.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
176.0ms8000×body80valid

Profiling

Loading profile data...