Details

Time bar (total: 3.5s)

analyze11.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample22.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify626.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01411
11411

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

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))

rewrite22.0ms

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))

series18.0ms

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)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051471251

prune179.0ms

Filtered
68 candidates to 100 candidates (-47.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh000
Picked101
Done000
Total983101

Merged error: 0b

Counts
101 → 3

localize13.0ms

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))

rewrite25.0ms

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:
10.0ms
(/ (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))

series42.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
6.0ms
(cbrt (- 1.0 x))
9.0ms
(cbrt (- 1.0 x))
8.0ms
(cbrt (- 1.0 x))

simplify62.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
051922138

prune423.0ms

Filtered
98 candidates to 144 candidates (-46.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1440144
Fresh022
Picked011
Done000
Total1443147

Merged error: 0b

Counts
147 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 244
Calls
4 calls:
30.0ms
(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
8.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

simplify98.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049524580
149524580

prune620.0ms

Filtered
146 candidates to 256 candidates (-75.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2560256
Fresh011
Picked011
Done011
Total2563259

Merged error: 0b

Counts
259 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
126×*-un-lft-identity
82×add-sqr-sqrt
80×times-frac
52×cbrt-prod
46×add-cube-cbrt
22×distribute-lft-out
18×distribute-lft-out-- difference-of-squares
10×associate-/l*
8×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
4×pow1 flip3-+ flip-+ div-inv associate-/l/ add-log-exp
2×cbrt-undiv cbrt-div flip3-- frac-2neg pow1/3 div-sub div-exp clear-num flip--
Counts
4 → 162
Calls
4 calls:
8.0ms
(/ (- 1.0 x) (+ 1.0 x))
8.0ms
(/ (- 1.0 x) (+ 1.0 x))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (- 1.0 x) (+ 1.0 x))
3.0ms
(/ (- 1.0 x) (+ 1.0 x))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049492302
149492302

prune404.0ms

Filtered
120 candidates to 174 candidates (-45.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1740174
Fresh000
Picked011
Done022
Total1743177

Merged error: 0b

Counts
177 → 3

regimes83.0ms

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
01728
11728

end0.0ms

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample502.0ms

Algorithm
intervals
Results
398.0ms8000×body80valid

Profiling

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