Details

Time bar (total: 2.2s)

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: 13.8b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

13.8b
(/ 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:
5.0ms
(/ x (+ (* x x) 1.0))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ x (+ (* x x) 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0165210
1555195
21825192
35001192

prune62.0ms

Filtered
32 candidates to 26 candidates (81.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New28432
Fresh000
Picked101
Done000
Total29433

Merged error: 0b

Counts
33 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (+ (* x x) 1.0)))
0.0b
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
13.8b
(sqrt (+ (* x x) 1.0))
13.8b
(sqrt (+ (* x x) 1.0))

rewrite47.0ms

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:
6.0ms
(/ x (sqrt (+ (* x x) 1.0)))
16.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series263.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(/ x (sqrt (+ (* x x) 1.0)))
54.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
46.0ms
(sqrt (+ (* x x) 1.0))
42.0ms
(sqrt (+ (* x x) 1.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
07743878
129623482
250013411

prune334.0ms

Filtered
274 candidates to 147 candidates (53.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2740274
Fresh033
Picked011
Done000
Total2744278

Merged error: 0b

Counts
278 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
13.8b
(sqrt (+ (* x x) 1.0))
13.8b
(sqrt (+ (* x x) 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log sqrt-div add-cbrt-cube add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow1/3 flip-+
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(sqrt (+ (* x x) 1.0))
5.0ms
(sqrt (+ (* x x) 1.0))

series443.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
176.0ms
(cbrt x)
46.0ms
(sqrt (+ (* x x) 1.0))
42.0ms
(sqrt (+ (* x x) 1.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0169286
1516276
22197268
35001266

prune146.0ms

Filtered
64 candidates to 54 candidates (84.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh022
Picked011
Done011
Total64468

Merged error: 0b

Counts
68 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

19.7b
(- (+ x (pow x 5)) (pow x 3))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity add-log-exp
4×difference-of-squares
2×diff-log distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg unpow-prod-down flip3-- cube-prod associate--l+ sum-log add-cbrt-cube flip-- distribute-lft-out sqr-pow
Counts
1 → 20
Calls
1 calls:
10.0ms
(- (+ x (pow x 5)) (pow x 3))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(- (+ x (pow x 5)) (pow x 3))

simplify77.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0108163
1374154
22146151
35001151

prune34.0ms

Filtered
23 candidates to 14 candidates (60.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New23023
Fresh011
Picked011
Done022
Total23427

Merged error: 0b

Counts
27 → 4

regimes28.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.8b

bsearch67.0ms

Steps
ItersRangePoint
10
125321.6248081686
4813125299563851.0
126446.63192073432
9
-2.4266371062622044e+160
-3.063756814709072e+153
-1.338830284572178e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03216
13216

end0.0ms

sample249.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid

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