Details

Time bar (total: 14.2s)

sample46.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
14.0ms270×body80nan

simplify502.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
28820
323520
447520
572720
690920
792020
done92020

prune7.0ms

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))))))

rewrite45.0ms

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)))))
7.0ms
(* 6.0 (* v v))
14.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
17.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
19.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify878.0ms

Counts
121 → 121
Iterations

Useful iterations: 2 (298.0ms)

IterNodesCost
03052799
18892599
237882209
done50002209

prune221.0ms

Filtered
83 candidates to 121 candidates (-45.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh000
Picked101
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize18.0ms

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)

rewrite53.0ms

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))
14.0ms
(/ 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)

series80.0ms

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))
19.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
42.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify371.0ms

Counts
166 → 166
Iterations

Useful iterations: done (363.0ms)

IterNodesCost
03735742
111265052
done50004614

prune346.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
57×add-cbrt-cube
34×prod-exp
28×cbrt-unprod
22×associate-*r/
20×add-sqr-sqrt
19×associate-*l*
16×sqrt-div associate-/r/
14×associate-*r*
13×add-cube-cbrt *-un-lft-identity
12×flip3-- flip--
11×pow1
10×cbrt-undiv frac-times div-exp
6×times-frac unswap-sqr
5×associate-*l/
4×unpow-prod-down pow-prod-down sqrt-prod add-log-exp
3×*-commutative associate-/l*
2×pow-to-exp flip3-+ pow-exp flip-+ div-inv sqr-pow
1×frac-2neg clear-num associate-/r*
Counts
4 → 130
Calls
4 calls:
17.0ms
(/ 4.0 (* (* 3.0 PI) (* (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4)))) (- 1.0 (* v v)))))
8.0ms
(* (* 6.0 6.0) (pow v 4))
6.0ms
(* 6.0 (* v v))
21.0ms
(* (/ 4.0 (* (* 3.0 PI) (* (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4)))) (- 1.0 (* v v))))) (sqrt (+ 2.0 (* 6.0 (* v v)))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 4.0 (* (* 3.0 PI) (* (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4)))) (- 1.0 (* v v)))))
5.0ms
(* (* 6.0 6.0) (pow v 4))
4.0ms
(* 6.0 (* v v))
21.0ms
(* (/ 4.0 (* (* 3.0 PI) (* (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4)))) (- 1.0 (* v v))))) (sqrt (+ 2.0 (* 6.0 (* v v)))))

simplify1.0s

Counts
142 → 142
Iterations

Useful iterations: 2 (378.0ms)

IterNodesCost
03914321
111483913
248243273
done50003273

prune352.0ms

Filtered
93 candidates to 142 candidates (-52.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh011
Picked011
Done011
Total1423145

Merged error: 0b

Counts
145 → 3

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.1b
(* (* 6.0 6.0) (pow v 4))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ (/ (/ 4.0 (* 3.0 PI)) (- (pow 1.0 3) (pow v 6))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
1668×times-frac
1201×add-sqr-sqrt
719×associate-*l*
568×*-un-lft-identity
504×difference-of-squares
484×add-cube-cbrt
354×sqrt-prod
298×unpow-prod-down
296×sqr-pow
126×cube-prod
125×pow1
103×div-inv
79×add-exp-log
71×add-cbrt-cube
42×distribute-lft-out--
37×prod-exp
36×pow-prod-up
31×cbrt-unprod
29×pow-prod-down
22×pow-sqr
18×cbrt-undiv pow-plus div-exp
16×frac-times
14×sqrt-div associate-/r/
13×pow2
12×flip3-+ associate-*r/ flip-+
10×associate-*r*
7×flip3-- flip--
5×associate-*l/ unswap-sqr
4×*-commutative add-log-exp
2×pow-to-exp pow-exp
1×swap-sqr
Counts
4 → 871
Calls
4 calls:
10.0ms
(* (* v v) (* v v))
8.0ms
(* (* 6.0 6.0) (pow v 4))
6.0ms
(* 6.0 (* v v))
138.0ms
(* (/ (/ (/ 4.0 (* 3.0 PI)) (- (pow 1.0 3) (pow v 6))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* v v) (* v v))
4.0ms
(* (* 6.0 6.0) (pow v 4))
3.0ms
(* 6.0 (* v v))
26.0ms
(* (/ (/ (/ 4.0 (* 3.0 PI)) (- (pow 1.0 3) (pow v 6))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

simplify923.0ms

Counts
883 → 883
Iterations

Useful iterations: done (861.0ms)

IterNodesCost
0119644899
1397240430
done500040316

prune7.5s

Filtered
547 candidates to 883 candidates (-61.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New8830883
Fresh000
Picked011
Done022
Total8833886

Merged error: 0b

Counts
886 → 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
454.0ms8000×body80valid
421.0ms8034×body80nan

Profiling

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