Details

Time bar (total: 2.8s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.8b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

11.8b
(/ 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:
6.0ms
(/ x (+ (* x x) 1.0))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ x (+ (* x x) 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0165210
1555195
21825192
35001192

prune77.0ms

Filtered
32 candidates to 26 candidates (18.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
0.4b
(/ 1 (pow x 5))
0.8b
(/ 1 (pow x 3))
19.1b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
196×add-sqr-sqrt
173×times-frac
112×*-un-lft-identity
63×difference-of-squares
56×unpow-prod-down
47×add-cube-cbrt
40×sqr-pow
26×cube-prod
22×add-exp-log
19×associate-/r*
12×div-exp
8×add-cbrt-cube add-log-exp
7×distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp div-inv associate-/l*
4×pow1 cube-mult associate-+l+ unpow3
3×sub-neg associate-*r/ frac-add
2×cbrt-undiv distribute-rgt-in flip3-- pow-flip frac-2neg distribute-lft-in clear-num frac-sub flip-- inv-pow
1×+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 227
Calls
4 calls:
51.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
5.0ms
(/ 1 (pow x 5))
5.0ms
(/ 1 (pow x 3))
45.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
56.0ms
(/ 1 (pow x 5))
37.0ms
(/ 1 (pow x 3))
121.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify85.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06871905
128791620
250011619

prune829.0ms

Filtered
239 candidates to 92 candidates (61.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2390239
Fresh011
Picked011
Done011
Total2393242

Merged error: 0b

Counts
242 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(pow (/ x (+ (* x x) 1.0)) 3)
11.8b
(/ x (+ (* x x) 1.0))
35.6b
(cbrt (pow (/ x (+ (* x x) 1.0)) 3))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
41×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1
3×pow-unpow associate-/r* associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 125
Calls
3 calls:
13.0ms
(pow (/ x (+ (* x x) 1.0)) 3)
7.0ms
(/ x (+ (* x x) 1.0))
7.0ms
(cbrt (pow (/ x (+ (* x x) 1.0)) 3))

series309.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(pow (/ x (+ (* x x) 1.0)) 3)
75.0ms
(/ x (+ (* x x) 1.0))
91.0ms
(cbrt (pow (/ x (+ (* x x) 1.0)) 3))

simplify64.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04881026
12156941
25001928

prune354.0ms

Filtered
134 candidates to 74 candidates (44.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done022
Total1343137

Merged error: 0b

Counts
137 → 3

regimes105.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch79.0ms

Steps
ItersRangePoint
9
76.94053799743773
23146340971.272755
1328.6682785635767
8
-1.607110240755924e+28
-8.859057457664666e+24
-1.9395929169090924e+27

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03011
13011

end0.0ms

sample295.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid

Profiling

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