Details

Time bar (total: 1.2s)

analyze4.0ms

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%50.1%13
49.9%0%50.1%14

sample17.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
013220
113220

prune6.0ms

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: 1.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
0.1b
(* v (* v 6.0))
1.0b
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log add-cbrt-cube
20×associate-*r/
14×add-sqr-sqrt
12×flip3-- sqrt-div flip--
10×pow1 prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
7×associate-*r* associate-*l*
4×cbrt-undiv div-exp pow-prod-down associate-*l/ sqrt-prod
3×times-frac associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares
Counts
3 → 82
Calls
3 calls:
8.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
5.0ms
(* v (* v 6.0))
13.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
3.0ms
(* v (* v 6.0))
20.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

simplify44.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051251753

prune145.0ms

Filtered
64 candidates to 91 candidates (-42.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New90191
Fresh000
Picked011
Done000
Total90292

Merged error: 0b

Counts
92 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
0.0b
(* (/ 1 3.0) (/ 4.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
0.0b
(/ 4.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
0.1b
(* v (* v 6.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
80×add-exp-log
52×add-cbrt-cube
35×prod-exp
31×add-sqr-sqrt
23×associate-*r/ div-exp
22×associate-*r*
21×cbrt-unprod
20×*-un-lft-identity associate-*l*
19×add-cube-cbrt
18×flip3-- sqrt-div flip--
17×times-frac
16×associate-/r/
13×pow1 cbrt-undiv frac-times
7×associate-*l/
5×pow-prod-down unswap-sqr
4×rec-exp 1-exp sqrt-prod add-log-exp
3×*-commutative div-inv associate-/l*
1×frac-2neg clear-num associate-/r* difference-of-squares
Counts
4 → 147
Calls
4 calls:
8.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
18.0ms
(* (/ 1 3.0) (/ 4.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
10.0ms
(/ 4.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
5.0ms
(* v (* v 6.0))

series44.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
16.0ms
(* (/ 1 3.0) (/ 4.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
16.0ms
(/ 4.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
3.0ms
(* v (* v 6.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051463273

prune249.0ms

Filtered
107 candidates to 159 candidates (-48.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done011
Total1592161

Merged error: 0b

Counts
161 → 2

regimes24.0ms

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
02522
12522

end0.0ms

analyze6.0ms

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%50.1%13
49.9%0%50.1%14

sample481.0ms

Algorithm
intervals
Results
388.0ms8000×body80valid
0.0ms4×body80nan

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