Details

Time bar (total: 2.4s)

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
13.0ms256×body80valid

simplify173.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (171.0ms)

IterNodesCost
0198720
1198720

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
13.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
18.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify43.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
056262185

prune199.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1163119
Fresh101
Picked101
Done000
Total1183121

Merged error: 0b

Counts
121 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
48×add-sqr-sqrt
45×add-cbrt-cube
42×prod-exp
41×times-frac
37×add-cube-cbrt *-un-lft-identity
29×associate-*r*
23×div-exp
22×sqrt-prod
18×cbrt-unprod
15×associate-*l*
13×pow1
11×cbrt-undiv
7×associate-*r/
6×rec-exp 1-exp associate-/r* associate-/r/
5×pow-prod-down
4×flip3-- sqrt-div flip-- add-log-exp unswap-sqr
3×*-commutative div-inv associate-/l*
2×sub-neg
1×distribute-rgt-in frac-times frac-2neg distribute-lft-in associate-*l/ clear-num difference-of-squares
Counts
4 → 158
Calls
4 calls:
6.0ms
(* PI (- 1.0 (* v v)))
5.0ms
(* v (* v 6.0))
6.0ms
(/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))
24.0ms
(* (/ 1 (* 3.0 (* PI (- 1.0 (* v v))))) (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* PI (- 1.0 (* v v)))
3.0ms
(* v (* v 6.0))
8.0ms
(/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))
18.0ms
(* (/ 1 (* 3.0 (* PI (- 1.0 (* v v))))) (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))))

simplify54.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
055452950

prune251.0ms

Filtered
98 candidates to 170 candidates (-73.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1691170
Fresh112
Picked011
Done000
Total1703173

Merged error: 0b

Counts
173 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
51×add-sqr-sqrt
48×add-cube-cbrt *-un-lft-identity
34×add-exp-log add-cbrt-cube
30×sqrt-prod
27×associate-/l*
11×pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod
8×associate-/r/
7×associate-/r*
6×sqrt-div associate-*r/ associate-*l*
5×flip3-- associate-*r* flip--
4×pow-prod-down div-inv add-log-exp
2×sub-neg frac-2neg clear-num *-commutative
1×distribute-rgt-in distribute-lft-in associate-/l/ difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
6.0ms
(* PI (- 1.0 (* v v)))
5.0ms
(* v (* v 6.0))
6.0ms
(/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))
14.0ms
(/ (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))) (* 3.0 (* PI (- 1.0 (* v v)))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* PI (- 1.0 (* v v)))
3.0ms
(* v (* v 6.0))
8.0ms
(/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))
20.0ms
(/ (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))) (* 3.0 (* PI (- 1.0 (* v v)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
055803131

prune277.0ms

Filtered
112 candidates to 168 candidates (-50.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1680168
Fresh011
Picked011
Done011
Total1683171

Merged error: 0b

Counts
171 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3))
0.1b
(* v (* v 6.0))
1.0b
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
1.0b
(pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
90×associate-*r/
40×associate-/r/
38×add-exp-log add-cbrt-cube
36×cbrt-prod
30×unpow-prod-down flip3-- sqrt-div cube-prod flip--
20×frac-times
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac prod-exp cbrt-unprod
10×pow1 associate-*l/
8×cbrt-undiv div-exp
5×pow-exp div-inv rem-cube-cbrt
4×add-log-exp
3×pow-unpow associate-*l* pow-prod-down associate-/l*
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube
Counts
4 → 153
Calls
4 calls:
8.0ms
(cbrt (pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3))
5.0ms
(* v (* v 6.0))
14.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
16.0ms
(pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3)

series75.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3))
3.0ms
(* v (* v 6.0))
17.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
36.0ms
(pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3)

simplify60.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050654585

prune303.0ms

Filtered
98 candidates to 165 candidates (-68.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1650165
Fresh000
Picked011
Done022
Total1653168

Merged error: 0b

Counts
168 → 3

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07022
17022

end0.0ms

sample499.0ms

Algorithm
intervals
Results
406.0ms8000×body80valid
0.0ms1×body80nan

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