Details

Time bar (total: 25.4s)

sample107.0ms

Algorithm
intervals
Results
54.0ms256×body80valid
34.0ms239×body80nan

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
41116
3244
289
134
016

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* PI v) v)
0.2b
(* (* v v) -6)
0.2b
(* PI v)
1.0b
(/ 4/3 (- PI (* (* PI v) v)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×add-cbrt-cube add-exp-log
16×pow1 *-un-lft-identity add-cube-cbrt
9×times-frac associate-*r*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×insert-posit16 add-log-exp
3×associate-/r* *-commutative associate-/l*
2×associate-/r/ unswap-sqr
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip--
Counts
4 → 88
Calls
4 calls:
28.0ms
(* (* PI v) v)
34.0ms
(* (* v v) -6)
11.0ms
(* PI v)
13.0ms
(/ 4/3 (- PI (* (* PI v) v)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* PI v) v)
37.0ms
(* (* v v) -6)
29.0ms
(* PI v)
131.0ms
(/ 4/3 (- PI (* (* PI v) v)))

simplify2.9s

Counts
100 → 100
Iterations
IterNodes
done5043
34166
21218
1404
0161

prune414.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (sqrt 4/3) (/ (- PI (* (* v v) PI)) (sqrt 4/3))) (sqrt (+ 2 (* (* v v) -6))))
0.2b
(* (* v v) -6)
0.2b
(* (* v v) PI)
1.0b
(/ (sqrt 4/3) (/ (- PI (* (* v v) PI)) (sqrt 4/3)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
3558×times-frac
1840×*-un-lft-identity
1785×sqrt-prod
1548×add-sqr-sqrt
1546×add-cube-cbrt
294×distribute-rgt-out--
179×associate-/l*
58×div-inv
34×associate-/r*
28×add-cbrt-cube add-exp-log
14×pow1
10×associate-/r/
9×cbrt-undiv div-exp
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×insert-posit16 add-log-exp
2×clear-num frac-2neg sqrt-div associate-*l* *-commutative unswap-sqr
1×flip3-+ flip-+ associate-/l/
Counts
4 → 1495
Calls
4 calls:
21.0ms
(/ (/ (sqrt 4/3) (/ (- PI (* (* v v) PI)) (sqrt 4/3))) (sqrt (+ 2 (* (* v v) -6))))
23.0ms
(* (* v v) -6)
19.0ms
(* (* v v) PI)
13.0ms
(/ (sqrt 4/3) (/ (- PI (* (* v v) PI)) (sqrt 4/3)))

series880.0ms

Counts
4 → 12
Calls
4 calls:
607.0ms
(/ (/ (sqrt 4/3) (/ (- PI (* (* v v) PI)) (sqrt 4/3))) (sqrt (+ 2 (* (* v v) -6))))
40.0ms
(* (* v v) -6)
33.0ms
(* (* v v) PI)
199.0ms
(/ (sqrt 4/3) (/ (- PI (* (* v v) PI)) (sqrt 4/3)))

simplify4.7s

Counts
1507 → 1507
Iterations
IterNodes
done5002
13935
01505

prune6.8s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize111.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (+ 2 (* (* v v) -6)))
1.0b
(cbrt (+ 2 (* (* v v) -6)))
1.0b
(/ (- 1 (* v v)) (sqrt 4/3))
1.0b
(/ (* (cbrt (sqrt 4/3)) (cbrt (sqrt 4/3))) (/ PI 1))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
46×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
23×add-exp-log
19×associate-/r*
18×sqrt-prod
14×add-cbrt-cube difference-of-squares
11×div-exp
7×cbrt-undiv
6×cbrt-prod associate-/l*
4×pow1 cbrt-div insert-posit16 div-inv add-log-exp
3×prod-exp
2×clear-num frac-2neg flip3-+ pow1/3 1-exp cbrt-unprod flip-+ associate-/l/
1×flip3-- div-sub associate-/r/ flip--
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt (+ 2 (* (* v v) -6)))
4.0ms
(cbrt (+ 2 (* (* v v) -6)))
30.0ms
(/ (- 1 (* v v)) (sqrt 4/3))
26.0ms
(/ (* (cbrt (sqrt 4/3)) (cbrt (sqrt 4/3))) (/ PI 1))

series518.0ms

Counts
4 → 10
Calls
4 calls:
177.0ms
(cbrt (+ 2 (* (* v v) -6)))
209.0ms
(cbrt (+ 2 (* (* v v) -6)))
132.0ms
(/ (- 1 (* v v)) (sqrt 4/3))
0.0ms
(/ (* (cbrt (sqrt 4/3)) (cbrt (sqrt 4/3))) (/ PI 1))

simplify2.0s

Counts
144 → 144
Iterations
IterNodes
done5001
21977
1681
0274

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify11.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.6s8125×body80nan
1.4s8000×body80valid