Details

Time bar (total: 6.6s)

sample33.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms273×body80nan

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune2.0ms

Filtered
1 candidates to 0 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 → 1

localize11.0ms

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))))))

rewrite41.0ms

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×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series811.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
267.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
412.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08881350
144081176
250021174

prune269.0ms

Filtered
121 candidates to 78 candidates (64.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh000
Picked101
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1
24×associate-*r/
20×add-cbrt-cube
19×add-exp-log
18×add-sqr-sqrt flip3-- sqrt-div flip--
17×add-cube-cbrt *-un-lft-identity
16×log-div exp-diff
15×pow-prod-down
12×frac-times times-frac
9×prod-exp cbrt-unprod
8×associate-/r/
7×exp-prod associate-*r*
6×associate-*l/
5×log-prod exp-sum
4×associate-*l* associate-/r* log-pow add-log-exp
3×sqrt-prod associate-/l*
2×*-commutative
1×cbrt-undiv frac-2neg div-exp clear-num div-inv rem-exp-log unswap-sqr
Counts
4 → 114
Calls
4 calls:
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
14.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
16.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
273.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
433.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
272.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08621832
139731632
250031628

prune384.0ms

Filtered
126 candidates to 93 candidates (73.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1251126
Fresh112
Picked011
Done000
Total1263129

Merged error: 0b

Counts
129 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.1b
(pow (* v v) 3)
0.2b
(* 6.0 (* v v))
2.7b
(log (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
129×pow1
37×pow-prod-up
27×pow-prod-down
25×add-exp-log
24×add-cbrt-cube
23×pow-sqr
19×pow-plus
14×pow2
12×prod-exp cbrt-unprod
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow-pow
4×associate-*l* add-log-exp
3×pow-unpow log-prod
2×log-div associate-*r* pow-exp *-commutative rem-cube-cbrt unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down flip3-+ unpow3 cube-prod swap-sqr rem-log-exp log-pow flip-+ sqr-pow
Counts
4 → 122
Calls
4 calls:
9.0ms
(* (* v v) (* v v))
5.0ms
(pow (* v v) 3)
6.0ms
(* 6.0 (* v v))
11.0ms
(log (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))

series239.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* v v) (* v v))
46.0ms
(pow (* v v) 3)
25.0ms
(* 6.0 (* v v))
138.0ms
(log (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0386448
11659383
25002381

prune343.0ms

Filtered
134 candidates to 61 candidates (45.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh011
Picked011
Done011
Total1343137

Merged error: 0b

Counts
137 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
258×sqrt-div
160×associate-*r/
140×frac-times
114×flip3-- flip--
80×associate-/r/
46×associate-*l/
28×add-exp-log add-cbrt-cube
23×pow1
13×prod-exp cbrt-unprod
12×add-sqr-sqrt pow-prod-down
10×add-cube-cbrt *-un-lft-identity
8×associate-*r*
7×associate-*l*
4×add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 171
Calls
4 calls:
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
36.0ms
(/ 4.0 (* (sqrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (sqrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
278.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))
796.0ms
(/ 4.0 (* (sqrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (sqrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify127.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
011573737
146413332
250023324

prune848.0ms

Filtered
183 candidates to 138 candidates (75.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1830183
Fresh000
Picked011
Done022
Total1833186

Merged error: 0b

Counts
186 → 3

regimes67.0ms

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
03423
13423

end0.0ms

sample775.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid
279.0ms7730×body80nan