Details

Time bar (total: 1.3s)

analyze39.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%6.2%93.8%0
0%6.2%93.8%1
0%6.2%93.8%2
1.6%3.1%95.3%3
1.6%3.1%95.3%4
2.3%1.6%96.1%5
2.3%1.6%96.1%6
2.7%0.8%96.5%7
2.7%0.8%96.5%8
2.9%0.4%96.7%9
2.9%0.4%96.7%10
3%0.2%96.8%11
3%0.2%96.8%12
3.1%0.1%96.8%13
3.1%0.1%96.8%14

sample26.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms256×pre80true
0.0mspre80false

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0510711

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 12.8b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
12.4b
(/ (- (* a a) (* b b)) (* a a))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
add-log-exp
pow1 times-frac associate-/l*
sqrt-prod difference-of-squares
cbrt-undiv flip3-- div-exp flip-- associate-/l/
sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 51
Calls
3 calls:
3.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series25.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (* a a) (* b b))
11.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify36.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05102664

prune79.0ms

Filtered
43 candidates to 60 candidates (-39.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh000
Picked011
Done000
Total59261

Merged error: 0b

Counts
61 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
0.0b
(/ (- a (* b (/ b a))) a)
0.1b
(* b (/ b a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* sqrt-prod associate-/l* add-log-exp
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 75
Calls
3 calls:
1.0ms
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
5.0ms
(/ (- a (* b (/ b a))) a)
7.0ms
(* b (/ b a))

series20.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
9.0ms
(/ (- a (* b (/ b a))) a)
3.0ms
(* b (/ b a))

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04989844
14989844

prune94.0ms

Filtered
60 candidates to 84 candidates (-40.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done011
Total84286

Merged error: 0b

Counts
86 → 2

regimes228.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
1911

end0.0ms

analyze36.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%6.2%93.8%0
0%6.2%93.8%1
0%6.2%93.8%2
1.6%3.1%95.3%3
1.6%3.1%95.3%4
2.3%1.6%96.1%5
2.3%1.6%96.1%6
2.7%0.8%96.5%7
2.7%0.8%96.5%8
2.9%0.4%96.7%9
2.9%0.4%96.7%10
3%0.2%96.8%11
3%0.2%96.8%12
3.1%0.1%96.8%13
3.1%0.1%96.8%14

sample566.0ms

Algorithm
intervals
Results
284.0ms8000×body80valid
143.0ms8000×pre80true
2.0ms123×pre80false

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