Details

Time bar (total: 9.1s)

sample47.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
14.0ms270×body80nan

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
28820
323320
445220
572520
693220
795720
done95720

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

localize13.0ms

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)))
14.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
22.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.2s

Counts
121 → 121
Iterations

Useful iterations: 2 (491.0ms)

IterNodesCost
03052799
18812571
237592209
done50002209

prune216.0ms

Filtered
79 candidates to 121 candidates (-53.2%)
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
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-*r/ 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
18×add-sqr-sqrt
17×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 unswap-sqr
Counts
4 → 154
Calls
4 calls:
8.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
6.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
16.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series79.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
3.0ms
(* 6.0 (* v v))
21.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
38.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify1.3s

Counts
166 → 166
Iterations

Useful iterations: 2 (558.0ms)

IterNodesCost
03735742
110974992
248954577
done50004577

prune347.0ms

Filtered
101 candidates to 166 candidates (-64.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh022
Picked011
Done000
Total1663169

Merged error: 0b

Counts
169 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4)))))
0.1b
(* (* 6.0 6.0) (pow v 4))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
81×add-exp-log
75×add-sqr-sqrt
73×add-cbrt-cube
72×add-cube-cbrt *-un-lft-identity
64×associate-*l*
57×sqrt-prod
38×associate-*r/
36×prod-exp
30×associate-/r/ cbrt-unprod
21×cbrt-undiv div-exp
16×frac-times sqrt-div
15×flip3-- flip-- div-inv
14×pow1
12×flip3-+ flip-+
9×associate-*r* associate-/l*
6×pow-prod-down associate-/r*
5×associate-*l/
4×unpow-prod-down add-log-exp unswap-sqr
3×*-commutative
2×pow-to-exp pow-exp sqr-pow
1×frac-2neg clear-num associate-/l/
Counts
4 → 244
Calls
4 calls:
17.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4)))))
8.0ms
(* (* 6.0 6.0) (pow v 4))
9.0ms
(* 6.0 (* v v))
32.0ms
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4)))))
4.0ms
(* (* 6.0 6.0) (pow v 4))
3.0ms
(* 6.0 (* v v))
23.0ms
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

simplify567.0ms

Counts
256 → 256
Iterations

Useful iterations: done (554.0ms)

IterNodesCost
056910661
117119852
done50009776

prune1.1s

Filtered
172 candidates to 256 candidates (-48.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2560256
Fresh011
Picked011
Done011
Total2563259

Merged error: 0b

Counts
259 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (sqrt 6.0) v) (* (sqrt 6.0) v))
0.6b
(* (sqrt 6.0) v)
0.6b
(* (sqrt 6.0) v)
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* (* (sqrt 6.0) v) (* (sqrt 6.0) v))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
34×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
19×pow-prod-down
16×prod-exp cbrt-unprod
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
8×associate-*r/ sqrt-prod associate-/r/
7×associate-*r*
6×flip3-- sqrt-div flip--
4×cbrt-undiv frac-times div-exp pow-sqr pow-prod-up add-log-exp unswap-sqr
3×times-frac *-commutative associate-/l*
2×pow-plus associate-*l/
1×pow2 frac-2neg swap-sqr clear-num associate-/r* div-inv
Counts
4 → 111
Calls
4 calls:
10.0ms
(* (* (sqrt 6.0) v) (* (sqrt 6.0) v))
5.0ms
(* (sqrt 6.0) v)
5.0ms
(* (sqrt 6.0) v)
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* (* (sqrt 6.0) v) (* (sqrt 6.0) v))))))

series58.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* (sqrt 6.0) v) (* (sqrt 6.0) v))
4.0ms
(* (sqrt 6.0) v)
4.0ms
(* (sqrt 6.0) v)
41.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* (* (sqrt 6.0) v) (* (sqrt 6.0) v))))))

simplify930.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (285.0ms)

IterNodesCost
02522227
17271714
230861460
done50001460

prune198.0ms

Filtered
69 candidates to 123 candidates (-78.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done022
Total1233126

Merged error: 0b

Counts
126 → 3

regimes133.0ms

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
01923
12323
done2323

end0.0ms

sample1.2s

Algorithm
intervals
Results
487.0ms8000×body80valid
448.0ms8034×body80nan

Profiling

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