Details

Time bar (total: 3.5s)

sample40.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
10.0ms270×body80nan

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0911
11611
21911
32111
done2111

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube associate-/l*
pow1 associate-/r* associate-/r/
add-log-exp
rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
3 → 91
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
9.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series20.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
5.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
12.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify652.0ms

Counts
100 → 100
Iterations

Useful iterations: done (649.0ms)

IterNodesCost
01671451
13601377
29461287
325451270
done50011269

prune178.0ms

Filtered
72 candidates to 100 candidates (-38.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh000
Picked011
Done000
Total992101

Merged error: 0b

Counts
101 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
41×add-sqr-sqrt
36×sqrt-prod
32×times-frac
25×add-cube-cbrt
15×sqrt-div
pow1 distribute-lft-out
associate-/l*
distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube
flip3-- flip--
sqrt-pow1 associate-/r* add-log-exp
pow1/2
frac-times rem-sqrt-square associate-*l/ associate-/r/ associate-/l/
cbrt-undiv frac-2neg flip3-+ associate-*r/ div-exp pow-prod-down clear-num flip-+ div-inv
Counts
4 → 110
Calls
4 calls:
14.0ms
(sqrt (* (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x))))
4.0ms
(sqrt (- 1.0 x))
4.0ms
(sqrt (- 1.0 x))
9.0ms
(/ (sqrt (- 1.0 x)) (+ 1.0 x))

series25.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (* (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x))))
8.0ms
(sqrt (- 1.0 x))
4.0ms
(sqrt (- 1.0 x))
8.0ms
(/ (sqrt (- 1.0 x)) (+ 1.0 x))

simplify1.1s

Counts
122 → 122
Iterations

Useful iterations: 3 (398.0ms)

IterNodesCost
02091873
14771677
214101637
347031602
done50001602

prune255.0ms

Filtered
86 candidates to 122 candidates (-41.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh000
Picked011
Done011
Total1222124

Merged error: 0b

Counts
124 → 2

regimes136.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
done1111

end0.0ms

sample936.0ms

Algorithm
intervals
Results
347.0ms8000×body80valid
303.0ms8022×body80nan

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