Details

Time bar (total: 10.7s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms272×body80nan

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
28820
324520
450420
580320
6102120
7104620
done104620

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

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))))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
13.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
31.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
28.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series830.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
274.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
426.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.3s

Counts
135 → 135
Iterations

Useful iterations: 2 (547.0ms)

IterNodesCost
03303068
19512820
240432433
done50002433

prune317.0ms

Pruning

2 alts after pruning (2 fresh and 0 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) (sqrt (- 2.0 (* 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))))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
82×times-frac
80×add-sqr-sqrt
64×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×prod-diff associate-/r* associate-/r/ associate-/l* unswap-sqr
5×distribute-rgt-in distribute-lft-in associate-*r/
4×expm1-log1p-u flip3-- sqrt-div flip-- log1p-expm1-u add-log-exp
3×*-commutative div-inv
2×sub-neg
1×frac-times sqrt-undiv frac-2neg associate-*l/ clear-num difference-of-squares
Counts
4 → 208
Calls
4 calls:
13.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
6.0ms
(* 6.0 (* v v))
6.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
56.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series965.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
24.0ms
(* 6.0 (* v v))
226.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
607.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.7s

Counts
220 → 220
Iterations

Useful iterations: 2 (907.0ms)

IterNodesCost
04015356
111614706
248974230
done50004230

prune486.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
166×times-frac
142×add-sqr-sqrt
122×pow1 sqrt-prod
89×add-cube-cbrt *-un-lft-identity
68×add-exp-log add-cbrt-cube
63×associate-*l*
44×associate-*r*
36×pow-prod-up
27×pow-prod-down prod-exp cbrt-unprod
22×pow-sqr
20×cbrt-undiv div-exp
18×pow-plus
17×associate-/r/ unswap-sqr
13×pow2
9×div-inv
6×flip3-+ associate-/r* flip-+ associate-/l*
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×*-commutative
2×flip3-- flip--
1×frac-times sqrt-undiv frac-2neg associate-*r/ swap-sqr associate-*l/ clear-num
Counts
4 → 301
Calls
4 calls:
12.0ms
(* (* v v) (* v v))
7.0ms
(* 6.0 (* v v))
6.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
251.0ms
(* (/ (sqrt 4.0) (/ (* (* 3.0 PI) (- (pow 1.0 3) (pow v 6))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series973.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* v v) (* v v))
25.0ms
(* 6.0 (* v v))
223.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
685.0ms
(* (/ (sqrt 4.0) (/ (* (* 3.0 PI) (- (pow 1.0 3) (pow v 6))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify546.0ms

Counts
313 → 313
Iterations

Useful iterations: done (532.0ms)

IterNodesCost
048610910
114748843
done50008711

prune985.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02844
13544
done3544

end0.0ms

sample743.0ms

Algorithm
intervals
Results
294.0ms8000×body80valid
270.0ms8079×body80nan