Details

Time bar (total: 6.7s)

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms232×body80nan

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
28820
323520
447620
575820
697420
799920
done99920

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

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))))))

rewrite86.0ms

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:
11.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
35.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* 6.0 (* v v))
30.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series814.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
270.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
417.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.3s

Counts
121 → 121
Iterations

Useful iterations: 2 (307.0ms)

IterNodesCost
03072810
18932612
240282224
done50002224

prune284.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
82×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
48×add-exp-log add-cbrt-cube
47×associate-*r*
20×prod-exp cbrt-unprod
16×pow1 associate-*l*
11×cbrt-undiv div-exp
7×pow-prod-down
6×associate-/r* associate-/r/ associate-/l* unswap-sqr
5×associate-*r/
4×flip3-- sqrt-div flip-- add-log-exp
3×*-commutative div-inv
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-times sqrt-undiv frac-2neg associate-*l/ clear-num difference-of-squares
Counts
4 → 194
Calls
4 calls:
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(* 6.0 (* v v))
61.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))
6.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))

series934.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
24.0ms
(* 6.0 (* v v))
595.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))
203.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify390.0ms

Counts
206 → 206
Iterations

Useful iterations: done (382.0ms)

IterNodesCost
03785104
111154517
done50014361

prune453.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

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
01824
12224
done2224

end0.0ms

sample757.0ms

Algorithm
intervals
Results
300.0ms8000×body80valid
271.0ms8132×body80nan