Details

sample72.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
17.0ms	208×	body	80	nan

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	1478
8	1478
7	1474
6	1456
5	1135
4	542
3	213
2	85
1	32
0	16

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize67.0ms

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))))))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-cbrt-cube` `add-exp-log`
23×	`pow1`
18×	`prod-exp` `associate-*r/` `cbrt-unprod`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `sqrt-div` `pow-prod-down`
11×	`associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`frac-times` `associate-/r/`
5×	`associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`times-frac` `-commutative` `sqrt-prod` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

37.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
137.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms	(* 6.0 (* v v))
140.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
443.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
59.0ms	(* 6.0 (* v v))
713.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify5.8s

Counts

125 → 125

Iterations

Iter	Nodes
done	5006
2	3648
1	937
0	313

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-exp-log`
52×	`add-cbrt-cube`
50×	`prod-exp`
46×	`add-sqr-sqrt`
44×	`times-frac`
37×	`*-un-lft-identity` `add-cube-cbrt`
29×	`div-exp`
25×	`associate-r`
22×	`sqrt-prod`
20×	`cbrt-unprod`
17×	`pow1`
14×	`cbrt-undiv`
12×	`associate-l`
9×	`rec-exp` `1-exp`
8×	`associate-/r/`
7×	`associate-/r*` `pow-prod-down`
6×	`associate-/l*`
5×	`associate-*r/`
4×	`flip3--` `sqrt-div` `insert-posit16` `div-inv` `flip--` `add-log-exp` `unswap-sqr`
3×	`pow-flip`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `associate-*l/` `inv-pow`

Counts

4 → 175

Calls

4 calls:

77.0ms	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
33.0ms	(* 6.0 (* v v))
25.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
248.0ms	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

144.0ms	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
36.0ms	(* 6.0 (* v v))
217.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
656.0ms	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify6.1s

Counts

187 → 187

Iterations

Iter	Nodes
done	5007
2	4285
1	1085
0	384

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

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

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
48×	`add-sqr-sqrt`
47×	`*-un-lft-identity` `add-cube-cbrt`
37×	`add-cbrt-cube` `add-exp-log`
30×	`sqrt-prod`
27×	`associate-/l*`
14×	`pow1`
12×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
8×	`associate-/r/`
7×	`associate-/r` `associate-r*`
6×	`sqrt-div` `pow-prod-down`
5×	`flip3--` `flip--`
4×	`associate-*r/` `insert-posit16` `div-inv` `add-log-exp`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-l` `*-commutative`
1×	`difference-of-squares` `associate-/l/`

Counts

4 → 162

Calls

4 calls:

35.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
22.0ms	(* (* 6.0 v) v)
92.0ms	(/ (/ 4.0 (sqrt (- 2.0 (* (* 6.0 v) v)))) (* (* 3.0 PI) (- 1.0 (* v v))))
14.0ms	(/ 4.0 (sqrt (- 2.0 (* (* 6.0 v) v))))

series1.2s

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
39.0ms	(* (* 6.0 v) v)
714.0ms	(/ (/ 4.0 (sqrt (- 2.0 (* (* 6.0 v) v)))) (* (* 3.0 PI) (- 1.0 (* v v))))
216.0ms	(/ 4.0 (sqrt (- 2.0 (* (* 6.0 v) v))))

simplify5.5s

Counts

174 → 174

Iterations

Iter	Nodes
done	5005
2	3595
1	997
0	361

prune1.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify10.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
777.0ms	8095×	body	80	nan