Details

Time bar (total: 3.8s)

analyze107.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14

sample48.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
0522228

prune13.0ms

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: 0.2b

Counts
2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
10.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
2.0ms
(* PI t)
42.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050171908

prune222.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New997106
Fresh101
Picked101
Done000
Total1017108

Merged error: 0.0b

Counts
108 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 96
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
10.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
8.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
43.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
20.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
18.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify58.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050002144

prune218.0ms

Filtered
79 candidates to 108 candidates (-36.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh156
Picked011
Done000
Total1087115

Merged error: 0.0b

Counts
115 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(/ (- 1.0 (* v (* v 5.0))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4))))))
0.3b
(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4)))))
0.4b
(* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
64×associate-*r/
37×add-exp-log add-cbrt-cube
23×pow1
19×flip3-- flip--
18×sqrt-div prod-exp cbrt-unprod
16×distribute-rgt-in distribute-lft-in
12×frac-times sub-neg pow-prod-down
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l*
8×associate-/r/
6×associate-*l/
4×cbrt-undiv div-exp add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
2×associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 122
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
20.0ms
(/ (- 1.0 (* v (* v 5.0))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4))))))
20.0ms
(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4)))))
15.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
40.0ms
(/ (- 1.0 (* v (* v 5.0))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4))))))
39.0ms
(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4)))))
33.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4))))

simplify53.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051623410

prune339.0ms

Filtered
90 candidates to 134 candidates (-48.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1322134
Fresh235
Picked101
Done011
Total1356141

Merged error: 0.0b

Counts
141 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* v 5.0))
0.2b
(* 3.0 (* v v))
0.4b
(* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4))))
0.4b
(/ (/ (- 1.0 (* v (* v 5.0))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
32×associate-*r/
31×times-frac
22×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×pow1
15×prod-exp cbrt-unprod
13×associate-/l*
12×flip3-- sqrt-div flip--
9×cbrt-undiv div-exp associate-*l* pow-prod-down
8×frac-times associate-/r/
4×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ add-log-exp
3×associate-*r* *-commutative div-inv
2×div-sub
1×frac-2neg clear-num associate-/r* associate-/l/ unswap-sqr
Counts
4 → 126
Calls
4 calls:
5.0ms
(* v (* v 5.0))
6.0ms
(* 3.0 (* v v))
15.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4))))
20.0ms
(/ (/ (- 1.0 (* v (* v 5.0))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4)))))

series82.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* v (* v 5.0))
3.0ms
(* 3.0 (* v v))
33.0ms
(* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4))))
43.0ms
(/ (/ (- 1.0 (* v (* v 5.0))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (pow v 4)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049703240
149703240

prune323.0ms

Filtered
98 candidates to 138 candidates (-40.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1362138
Fresh224
Picked011
Done011
Total1386144

Merged error: 0.0b

Counts
144 → 6

regimes243.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010336
110336

end0.0ms

sample1.4s

Algorithm
intervals
Results
479.0ms8000×body80valid

Profiling

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