Details

Time bar (total: 3.0s)

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

sample20.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0502220

prune14.0ms

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

localize15.0ms

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))))))

rewrite52.0ms

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:
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)))))
7.0ms
(* 6.0 (* v v))
19.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
16.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
4.0ms
(* 6.0 (* v v))
21.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify86.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049282189
149282189

prune241.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* PI (- 1.0 (* v v)))
0.2b
(* 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:
7.0ms
(* PI (- 1.0 (* v v)))
5.0ms
(* v (* v 6.0))
6.0ms
(/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))
22.0ms
(* (/ 1 (* 3.0 (* PI (- 1.0 (* v v))))) (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))))

series38.0ms

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)))))
21.0ms
(* (/ 1 (* 3.0 (* PI (- 1.0 (* v v))))) (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))))

simplify93.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049322951
149322951

prune287.0ms

Filtered
99 candidates to 170 candidates (-71.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1691170
Fresh112
Picked101
Done000
Total1712173

Merged error: 0b

Counts
173 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(log (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))))
1.0b
(/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))
1.0b
(exp (log (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))))
1.0b
(* (/ 1 (* 3.0 (* PI (- 1.0 (* v v))))) (exp (log (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
75×log-prod
72×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
51×exp-sum
40×sqrt-prod
31×add-exp-log
27×associate-*r*
20×add-cbrt-cube
19×prod-exp
10×associate-/r/
9×associate-*l*
8×pow1 sqrt-div div-exp
7×cbrt-unprod
6×associate-/r*
5×flip3-- associate-*r/ flip-- div-inv
4×cbrt-undiv log-div exp-prod add-log-exp unswap-sqr
3×rec-exp exp-diff 1-exp associate-/l*
2×rem-log-exp log-pow
1×frac-times frac-2neg pow-prod-down associate-*l/ clear-num *-commutative rem-exp-log
Counts
4 → 179
Calls
4 calls:
7.0ms
(log (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))))
7.0ms
(/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))
10.0ms
(exp (log (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))))
29.0ms
(* (/ 1 (* 3.0 (* PI (- 1.0 (* v v))))) (exp (log (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(log (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))))
10.0ms
(/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))
10.0ms
(exp (log (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0)))))))
22.0ms
(* (/ 1 (* 3.0 (* PI (- 1.0 (* v v))))) (exp (log (/ 4.0 (sqrt (- 2.0 (* v (* v 6.0))))))))

simplify84.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049983993
149983993

prune490.0ms

Filtered
128 candidates to 191 candidates (-49.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1910191
Fresh011
Picked011
Done000
Total1912193

Merged error: 0b

Counts
193 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
54×associate-*r/
32×add-exp-log add-cbrt-cube
19×pow1
18×flip3-- sqrt-div flip--
16×associate-/r/ log-pow
15×exp-prod prod-exp cbrt-unprod
12×frac-times
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-prod-down
6×times-frac associate-*l* associate-*l/
4×cbrt-undiv div-exp add-log-exp
3×log-prod associate-/l*
2×associate-*r* *-commutative div-inv
1×frac-2neg rem-log-exp clear-num associate-/r*
Counts
4 → 107
Calls
4 calls:
13.0ms
(* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
5.0ms
(* v (* v 6.0))
14.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
8.0ms
(log (exp (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
3.0ms
(* v (* v 6.0))
21.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
21.0ms
(log (exp (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050532531

prune275.0ms

Filtered
88 candidates to 119 candidates (-35.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done011
Total1192121

Merged error: 0b

Counts
121 → 2

regimes28.0ms

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
013024
113024

end0.0ms

sample774.0ms

Algorithm
intervals
Results
663.0ms8000×body80valid
0.0ms2×body80nan

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