Details

Time bar (total: 1.3s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.4b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

15.4b
(/ 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))

simplify59.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05303373

prune56.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New29332
Fresh000
Picked101
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize7.0ms

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)))
15.3b
(sqrt (+ (* x x) 1.0))
15.3b
(sqrt (+ (* x x) 1.0))

rewrite45.0ms

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)))
15.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
6.0ms
(sqrt (+ (* x x) 1.0))

series18.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ x (sqrt (+ (* x x) 1.0)))
4.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
3.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049975534
149975534

prune323.0ms

Filtered
147 candidates to 274 candidates (-86.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2740274
Fresh022
Picked011
Done000
Total2743277

Merged error: 0b

Counts
277 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ (* x x) 1.0) x))
15.3b
(/ (+ (* x x) 1.0) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 105
Calls
2 calls:
9.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
6.0ms
(/ (+ (* x x) 1.0) x)

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
6.0ms
(/ (+ (* x x) 1.0) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
048981477
148981477

prune114.0ms

Filtered
73 candidates to 111 candidates (-52.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh101
Picked101
Done011
Total1122114

Merged error: 0b

Counts
114 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ 1.0 x))
0.1b
(/ 1 (+ x (/ 1.0 x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
6×add-exp-log
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×flip3-+ div-exp associate-/r/ flip-+
1×cbrt-undiv +-commutative rec-exp pow-flip frac-2neg 1-exp clear-num sum-log div-inv inv-pow
Counts
2 → 49
Calls
2 calls:
6.0ms
(+ x (/ 1.0 x))
7.0ms
(/ 1 (+ x (/ 1.0 x)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ x (/ 1.0 x))
3.0ms
(/ 1 (+ x (/ 1.0 x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05347522

prune49.0ms

Filtered
32 candidates to 55 candidates (-71.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh000
Picked011
Done011
Total55257

Merged error: 0b

Counts
57 → 2

regimes27.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms

sample261.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid

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