Details

Time bar (total: 1.7s)

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%50.1%13
49.9%0%50.1%14

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify169.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (167.0ms)

IterNodesCost
0198720
1198720

prune5.0ms

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: 1.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 107
Calls
4 calls:
14.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
3.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify38.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
056262185

prune190.0ms

Filtered
83 candidates to 119 candidates (-43.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1172119
Fresh000
Picked101
Done000
Total1182120

Merged error: 0b

Counts
120 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 4.0 (* 3.0 (* PI (- 1.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b
(* 3.0 (* PI (- 1.0 (* v v))))
0.0b
(* PI (- 1.0 (* v v)))
0.2b
(* 6.0 (* v v))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
46×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
34×associate-*r/
30×add-exp-log sqrt-prod add-cbrt-cube
16×pow1 associate-/r/
10×flip3-- prod-exp flip-- cbrt-unprod
9×associate-*l* associate-/l*
8×div-inv
7×cbrt-undiv div-exp pow-prod-down
6×sub-neg associate-*r* associate-/r*
5×distribute-rgt-in distribute-lft-in
4×add-log-exp
3×*-commutative
2×sqrt-div unswap-sqr
1×frac-2neg clear-num associate-/l/ difference-of-squares
Counts
4 → 156
Calls
4 calls:
12.0ms
(/ (/ 4.0 (* 3.0 (* PI (- 1.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 3.0 (* PI (- 1.0 (* v v))))
5.0ms
(* PI (- 1.0 (* v v)))
5.0ms
(* 6.0 (* v v))

series33.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (/ 4.0 (* 3.0 (* PI (- 1.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v)))))
8.0ms
(* 3.0 (* PI (- 1.0 (* v v))))
6.0ms
(* PI (- 1.0 (* v v)))
3.0ms
(* 6.0 (* v v))

simplify46.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
051913548

prune250.0ms

Filtered
109 candidates to 168 candidates (-54.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1680168
Fresh011
Picked011
Done000
Total1682170

Merged error: 0b

Counts
170 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 3.0 (- PI (* PI (* v v))))
0.2b
(* PI (* v v))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* 3.0 (- PI (* PI (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r/ prod-exp cbrt-unprod
9×associate-*l*
8×associate-/r/
7×flip3-- pow-prod-down flip--
6×sqrt-div
5×associate-*r*
4×frac-times add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l* unswap-sqr
2×sub-neg associate-*l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* div-inv
Counts
4 → 91
Calls
4 calls:
5.0ms
(* 3.0 (- PI (* PI (* v v))))
5.0ms
(* PI (* v v))
5.0ms
(* 6.0 (* v v))
11.0ms
(/ 4.0 (* (* 3.0 (- PI (* PI (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series30.0ms

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

simplify29.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
054401418

prune132.0ms

Filtered
70 candidates to 103 candidates (-47.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done011
Total1032105

Merged error: 0b

Counts
105 → 2

regimes48.0ms

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
05520
15520

end0.0ms

sample494.0ms

Algorithm
intervals
Results
400.0ms8000×body80valid
0.0ms3×body80nan

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