Details

sample62.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
20.0ms	262×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	32	20
2	90	20
3	256	20
4	581	20
5	1041	20
6	1220	20
done	1220	20

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize30.0ms

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

rewrite306.0ms

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:

27.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
118.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
33.0ms	(* 6.0 (* v v))
122.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
396.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
45.0ms	(* 6.0 (* v v))
699.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.2s

Counts

121 → 121

Iterations

Useful iterations: 2 (913.0ms)

Iter	Nodes	Cost
0	307	2810
1	864	2584
2	3618	2224
done	5000	2224

prune424.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
44×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
33×	`sqrt-prod`
28×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*r/` `associate-/r/`
15×	`pow1`
10×	`flip3--` `flip--`
9×	`prod-exp` `cbrt-unprod` `associate-/l*`
8×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down` `associate-/r*`
5×	`associate-r`
4×	`sqrt-div` `associate-l` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `*-commutative`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/` `difference-of-squares` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

83.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
11.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
61.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
20.0ms	(* 6.0 (* v v))

series942.0ms

Counts

4 → 12

Calls

4 calls:

659.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
92.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
153.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
38.0ms	(* 6.0 (* v v))

simplify2.1s

Counts

161 → 161

Iterations

Useful iterations: 2 (861.0ms)

Iter	Nodes	Cost
0	356	4194
1	918	3872
2	3362	3593
done	5000	3593

prune623.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 2.0 (* 6.0 (* v v))))
0.1b	(* 6.0 (* v v))
0.2b	(* 3.0 (* (pow v 2) PI))
0.2b	(* (pow v 2) PI)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-l`
13×	`prod-exp`
12×	`pow1`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-unprod`
5×	`associate-r` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `add-log-exp`
3×	`sqrt-prod` `*-commutative`
2×	`pow-to-exp` `sqrt-div` `pow-exp` `unpow2` `sqr-pow`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `flip--`

Counts

4 → 80

Calls

4 calls:

6.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
36.0ms	(* 6.0 (* v v))
53.0ms	(* 3.0 (* (pow v 2) PI))
18.0ms	(* (pow v 2) PI)

series249.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
46.0ms	(* 6.0 (* v v))
51.0ms	(* 3.0 (* (pow v 2) PI))
30.0ms	(* (pow v 2) PI)

simplify2.3s

Counts

92 → 92

Iterations

Useful iterations: 2 (329.0ms)

Iter	Nodes	Cost
0	156	900
1	354	809
2	1178	720
done	5000	720

prune406.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	25
1	31	25
2	39	25
done	39	25

end0.0ms

sample1.9s

Algorithm

intervals

Results

886.0ms	8000×	body	80	valid
723.0ms	7995×	body	80	nan