Details

Time bar (total: 1.5s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune5.0ms

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: 15.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) 1.0)
15.0b
(/ x (+ (* x x) 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 40
Calls
2 calls:
3.0ms
(+ (* x x) 1.0)
5.0ms
(/ x (+ (* x x) 1.0))

series8.0ms

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

simplify109.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0194267
1717245
23039242
35002242

prune115.0ms

Filtered
46 candidates to 37 candidates (19.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New43346
Fresh000
Picked011
Done000
Total43447

Merged error: 0b

Counts
47 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) 1.0)
0.0b
(/ x (sqrt (+ (* x x) 1.0)))
14.9b
(sqrt (+ (* x x) 1.0))
14.9b
(sqrt (+ (* x x) 1.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
4×flip3-+ flip-+
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 82
Calls
4 calls:
4.0ms
(+ (* x x) 1.0)
6.0ms
(/ x (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series18.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (* x x) 1.0)
7.0ms
(/ x (sqrt (+ (* x x) 1.0)))
3.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0298642
11097607
25001587

prune346.0ms

Filtered
94 candidates to 71 candidates (24.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh022
Picked011
Done011
Total94498

Merged error: 0b

Counts
98 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) 1.0)
0.1b
(/ 1 (/ (+ (* x x) 1.0) x))
15.0b
(/ (+ (* x x) 1.0) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative pow-flip sum-log associate-/r/ inv-pow
Counts
3 → 116
Calls
3 calls:
4.0ms
(+ (* x x) 1.0)
7.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
6.0ms
(/ (+ (* x x) 1.0) x)

series14.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (* x x) 1.0)
4.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
7.0ms
(/ (+ (* x x) 1.0) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0430955
11984848
25002769

prune261.0ms

Filtered
125 candidates to 71 candidates (43.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1241125
Fresh101
Picked011
Done112
Total1263129

Merged error: 0b

Counts
129 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
5.0ms
(+ 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)))

simplify55.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0185290
1596258
21982238
35003238

prune64.0ms

Filtered
55 candidates to 29 candidates (47.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh000
Picked011
Done022
Total55358

Merged error: 0b

Counts
58 → 3

regimes54.0ms

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
093
193

end0.0ms

sample269.0ms

Algorithm
intervals
Results
156.0ms8000×body80valid

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