Details

Time bar (total: 1.8s)

analyze61.0ms

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

sample30.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
0516511

prune10.0ms

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: 14.3b

Counts
2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1 (* b (/ b (* a a))))
0.0b
(sqrt (fabs (- 1 (* b (/ b (* a a))))))
0.2b
(* b (/ b (* a a)))
14.4b
(/ b (* a a))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
7×pow1 times-frac associate-*r*
6×add-log-exp
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×associate-*l* sqrt-prod associate-/l*
2×div-inv unswap-sqr
1×sub-neg rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 diff-log associate-*r/ pow-prod-down clear-num associate-/r* *-commutative flip--
Counts
4 → 73
Calls
4 calls:
3.0ms
(- 1 (* b (/ b (* a a))))
1.0ms
(sqrt (fabs (- 1 (* b (/ b (* a a))))))
7.0ms
(* b (/ b (* a a)))
5.0ms
(/ b (* a a))

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- 1 (* b (/ b (* a a))))
9.0ms
(sqrt (fabs (- 1 (* b (/ b (* a a))))))
5.0ms
(* b (/ b (* a a)))
5.0ms
(/ b (* a a))

simplify32.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04973710
14973710

prune98.0ms

Filtered
54 candidates to 85 candidates (-57.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh000
Picked101
Done000
Total84286

Merged error: 0.0b

Counts
86 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* b (* (/ (sqrt b) a) (/ (sqrt b) a)))
0.2b
(/ (sqrt b) a)
0.2b
(/ (sqrt b) a)
0.5b
(* (/ (sqrt b) a) (/ (sqrt b) a))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
134×add-sqr-sqrt
132×times-frac
91×add-cube-cbrt *-un-lft-identity
72×sqrt-prod
38×add-exp-log add-cbrt-cube
28×swap-sqr
25×associate-*l*
23×associate-*r*
16×pow1
13×prod-exp cbrt-unprod
12×associate-/l*
10×cbrt-undiv div-exp unswap-sqr
6×associate-/r* div-inv
5×associate-*r/
4×pow-prod-down add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 211
Calls
4 calls:
11.0ms
(* b (* (/ (sqrt b) a) (/ (sqrt b) a)))
4.0ms
(/ (sqrt b) a)
4.0ms
(/ (sqrt b) a)
17.0ms
(* (/ (sqrt b) a) (/ (sqrt b) a))

series36.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* b (* (/ (sqrt b) a) (/ (sqrt b) a)))
9.0ms
(/ (sqrt b) a)
10.0ms
(/ (sqrt b) a)
7.0ms
(* (/ (sqrt b) a) (/ (sqrt b) a))

simplify64.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049671998
149671998

prune201.0ms

Filtered
133 candidates to 223 candidates (-67.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2230223
Fresh011
Picked011
Done000
Total2232225

Merged error: 0.0b

Counts
225 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ b (* a a)))
1.9b
(pow (exp (/ b (* a a))) b)
2.3b
(log (pow (exp (/ b (* a a))) b))
14.4b
(/ b (* a a))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt exp-prod *-un-lft-identity
10×add-exp-log
9×times-frac add-cbrt-cube
8×pow-pow
7×log-prod
6×unpow-prod-down
5×pow1 add-log-exp
3×pow-unpow rem-log-exp div-inv associate-/l*
2×cbrt-undiv pow-to-exp div-exp pow-exp sqr-pow
1×frac-2neg prod-exp clear-num associate-/r* log-pow cbrt-unprod rem-exp-log
Counts
4 → 78
Calls
4 calls:
3.0ms
(exp (/ b (* a a)))
4.0ms
(pow (exp (/ b (* a a))) b)
4.0ms
(log (pow (exp (/ b (* a a))) b))
5.0ms
(/ b (* a a))

series41.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(exp (/ b (* a a)))
12.0ms
(pow (exp (/ b (* a a))) b)
17.0ms
(log (pow (exp (/ b (* a a))) b))
5.0ms
(/ b (* a a))

simplify48.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05157711

prune122.0ms

Filtered
64 candidates to 90 candidates (-40.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done011
Total90292

Merged error: 0.0b

Counts
92 → 2

regimes101.0ms

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 (1.0ms)

IterNodesCost
05215
15215

end0.0ms

sample762.0ms

Algorithm
intervals
Results
245.0ms8000×body80valid

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