Details

Time bar (total: 6.6s)

sample43.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
14.0ms270×body80nan

simplify506.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
28820
323520
447520
572720
690920
792220
done92220

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

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))))))

rewrite43.0ms

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))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
17.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
4.0ms
(* 6.0 (* v v))
19.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify952.0ms

Counts
121 → 121
Iterations

Useful iterations: done (948.0ms)

IterNodesCost
03052799
18892616
239822244
done50002222

prune233.0ms

Filtered
87 candidates to 121 candidates (-39.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh000
Picked101
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize16.0ms

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)))))))

rewrite53.0ms

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:
13.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
16.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
13.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
19.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
18.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify814.0ms

Counts
126 → 126
Iterations

Useful iterations: done (809.0ms)

IterNodesCost
03443629
18663273
233882967
done50012956

prune318.0ms

Filtered
100 candidates to 126 candidates (-26.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh022
Picked011
Done000
Total1263129

Merged error: 0b

Counts
129 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
103×pow1
72×distribute-lft-out--
65×log-pow
60×*-un-lft-identity
33×pow-prod-down
24×exp-prod
20×associate--l+
15×add-sqr-sqrt
13×log-prod
11×exp-sum
10×add-exp-log add-cube-cbrt log-div
9×add-cbrt-cube
8×associate--r-
7×add-log-exp
6×flip3-- sqrt-div diff-log flip--
4×sub-neg associate-*r/
3×associate-*l* prod-exp sqrt-prod cbrt-unprod rem-exp-log
2×difference-of-squares
1×associate--l- sqrt-pow1 pow1/2 exp-diff rem-log-exp associate-*r* *-commutative associate--r+ unswap-sqr
Counts
4 → 129
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
20.0ms
(exp (- (- (log 4.0) (log (sqrt (- 2.0 (* 6.0 (* v v)))))) (log (* (* 3.0 PI) (- 1.0 (* v v))))))
4.0ms
(log (sqrt (- 2.0 (* 6.0 (* v v)))))
17.0ms
(- (- (log 4.0) (log (sqrt (- 2.0 (* 6.0 (* v v)))))) (log (* (* 3.0 PI) (- 1.0 (* v v)))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 6.0 (* v v))
38.0ms
(exp (- (- (log 4.0) (log (sqrt (- 2.0 (* 6.0 (* v v)))))) (log (* (* 3.0 PI) (- 1.0 (* v v))))))
11.0ms
(log (sqrt (- 2.0 (* 6.0 (* v v)))))
32.0ms
(- (- (log 4.0) (log (sqrt (- 2.0 (* 6.0 (* v v)))))) (log (* (* 3.0 PI) (- 1.0 (* v v)))))

simplify658.0ms

Counts
141 → 141
Iterations

Useful iterations: done (653.0ms)

IterNodesCost
03163338
17993070
228332823
done50002822

prune311.0ms

Filtered
83 candidates to 141 candidates (-69.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh011
Picked011
Done011
Total1413144

Merged error: 0b

Counts
144 → 3

localize17.0ms

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
(cbrt (/ (pow 4.0 3) (pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)))
0.2b
(* 6.0 (* v v))
1.0b
(pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
108×cbrt-prod
96×times-frac
46×add-sqr-sqrt
45×add-cube-cbrt *-un-lft-identity
37×unpow-prod-down cube-prod
28×pow1 add-exp-log add-cbrt-cube
24×associate-*r/
21×cube-mult unpow3 sqr-pow
18×flip3-- sqrt-div flip--
16×cube-div
15×pow-prod-down prod-exp cbrt-unprod
12×frac-times
8×associate-/r/
7×associate-*r*
6×associate-*l/
4×pow-pow associate-*l* pow-exp add-log-exp rem-cube-cbrt
3×pow-unpow sqrt-prod
2×*-commutative
1×pow-to-exp cbrt-div pow1/3 div-inv unswap-sqr
Counts
4 → 204
Calls
4 calls:
13.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
13.0ms
(cbrt (/ (pow 4.0 3) (pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)))
6.0ms
(* 6.0 (* v v))
14.0ms
(pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)

series71.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
17.0ms
(cbrt (/ (pow 4.0 3) (pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)))
3.0ms
(* 6.0 (* v v))
34.0ms
(pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)

simplify414.0ms

Counts
216 → 216
Iterations

Useful iterations: done (403.0ms)

IterNodesCost
05958651
114567713
done50017501

prune612.0ms

Filtered
147 candidates to 216 candidates (-46.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2160216
Fresh000
Picked011
Done022
Total2163219

Merged error: 0b

Counts
219 → 3

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822
12222
done2222

end0.0ms

sample1.1s

Algorithm
intervals
Results
442.0ms8000×body80valid
410.0ms8034×body80nan

Profiling

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