Details

Time bar (total: 2.0s)

analyze12.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify579.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1196
2216
3216

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

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))

rewrite32.0ms

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
9×distribute-lft-out-- difference-of-squares
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* associate-/r/
3×add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×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))))
7.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series19.0ms

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)))
11.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0354753
11071709
25001688

prune157.0ms

Filtered
70 candidates to 100 candidates (-42.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh000
Picked011
Done000
Total992101

Merged error: 0b

Counts
101 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
63×add-sqr-sqrt
56×times-frac
55×cbrt-prod
41×add-cube-cbrt
36×sqrt-prod
11×distribute-lft-out-- difference-of-squares
9×distribute-lft-out
8×cbrt-div associate-/l*
7×associate-/r*
6×add-exp-log
5×add-cbrt-cube
4×pow1 flip3-- flip-- add-log-exp
3×pow1/3
2×sqrt-div associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 132
Calls
4 calls:
9.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))

series40.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
6.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))
8.0ms
(cbrt (- 1.0 x))

simplify55.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05281545
118291496
250011415

prune431.0ms

Filtered
101 candidates to 144 candidates (-42.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done011
Total1442146

Merged error: 0b

Counts
146 → 2

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

analyze4.0ms

Algorithm
search

sample468.0ms

Algorithm
intervals
Results
373.0ms8000×body80valid

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