Details

Time bar (total: 1.6s)

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

sample25.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms256×pre80true
0.0mspre80false

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0510711

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 15.6b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- 1 (* b (/ b (* a a))))))
0.2b
(* b (/ b (* a a)))
15.8b
(/ b (* a a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
times-frac associate-*r*
pow1
prod-exp cbrt-unprod
cbrt-undiv div-exp
associate-*l* sqrt-prod associate-/l* add-log-exp
div-inv unswap-sqr
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 62
Calls
3 calls:
1.0ms
(sqrt (fabs (- 1 (* b (/ b (* a a))))))
7.0ms
(* b (/ b (* a a)))
5.0ms
(/ b (* a a))

series18.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sqrt (fabs (- 1 (* b (/ b (* a a))))))
5.0ms
(* b (/ b (* a a)))
5.0ms
(/ b (* a a))

simplify54.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05345492

prune98.0ms

Filtered
48 candidates to 71 candidates (-47.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New68371
Fresh000
Picked101
Done000
Total69372

Merged error: 0b

Counts
72 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
0.3b
(pow (/ b a) 2)
5.2b
(log (exp (pow (/ b a) 2)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×unpow-prod-down
22×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×log-pow
18×exp-prod times-frac
pow1 add-exp-log
pow-unpow log-prod sqrt-prod add-cbrt-cube add-log-exp
pow-exp div-inv unpow2 sqr-pow
pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 pow1/2 div-exp rem-log-exp
Counts
3 → 72
Calls
3 calls:
1.0ms
(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
4.0ms
(pow (/ b a) 2)
7.0ms
(log (exp (pow (/ b a) 2)))

series15.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
3.0ms
(pow (/ b a) 2)
4.0ms
(log (exp (pow (/ b a) 2)))

simplify44.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05243573

prune117.0ms

Filtered
55 candidates to 81 candidates (-47.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New81081
Fresh022
Picked011
Done000
Total81384

Merged error: 0b

Counts
84 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (- 1 (pow (/ b a) 2))))
0.3b
(pow (/ b a) 2)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
13×unpow-prod-down
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log
pow1
pow-unpow sqrt-prod
pow-exp add-cbrt-cube add-log-exp
pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 pow1/2 div-exp div-inv unpow2 sqr-pow
Counts
2 → 42
Calls
2 calls:
1.0ms
(sqrt (fabs (- 1 (pow (/ b a) 2))))
4.0ms
(pow (/ b a) 2)

series12.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(sqrt (fabs (- 1 (pow (/ b a) 2))))
3.0ms
(pow (/ b a) 2)

simplify41.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05046388

prune56.0ms

Filtered
27 candidates to 48 candidates (-77.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh011
Picked011
Done011
Total48351

Merged error: 0b

Counts
51 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (fabs (- 1 (pow (/ b a) 2))))
0.0b
(cbrt (fabs (- 1 (pow (/ b a) 2))))
0.3b
(pow (/ b a) 2)
0.3b
(pow (/ b a) 2)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×unpow-prod-down
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
10×add-exp-log
pow1 cbrt-prod pow-unpow
pow-exp add-cbrt-cube add-log-exp
pow-to-exp pow-pow pow1/3 div-exp div-inv unpow2 sqr-pow
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt (fabs (- 1 (pow (/ b a) 2))))
1.0ms
(cbrt (fabs (- 1 (pow (/ b a) 2))))
4.0ms
(pow (/ b a) 2)
5.0ms
(pow (/ b a) 2)

series50.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt (fabs (- 1 (pow (/ b a) 2))))
24.0ms
(cbrt (fabs (- 1 (pow (/ b a) 2))))
3.0ms
(pow (/ b a) 2)
3.0ms
(pow (/ b a) 2)

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05158772

prune176.0ms

Filtered
58 candidates to 92 candidates (-58.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done022
Total92395

Merged error: 0b

Counts
95 → 3

regimes74.0ms

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
01211
11211

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

sample539.0ms

Algorithm
intervals
Results
268.0ms8000×body80valid
138.0ms8000×pre80true
2.0ms105×pre80false

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