Details

sample65.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
18.0ms	218×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	32	20
2	90	20
3	268	20
4	633	20
5	1191	20
6	1478	20
7	1496	20
done	1496	20

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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))))))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
17×	`pow1`
16×	`associate-*r/`
15×	`prod-exp` `cbrt-unprod`
12×	`flip3--` `sqrt-div` `flip--`
9×	`add-sqr-sqrt` `pow-prod-down`
8×	`frac-times` `add-cube-cbrt` `*-un-lft-identity` `associate-/r/`
7×	`associate-r`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `times-frac` `sqrt-prod` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

3 → 90

Calls

3 calls:

92.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
36.0ms	(* 6.0 (* v v))
121.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.0s

Counts

3 → 9

Calls

3 calls:

449.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
60.0ms	(* 6.0 (* v v))
532.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	292	2543
1	828	2310
2	3450	2005
done	5000	2004

prune374.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
41×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log` `add-cbrt-cube`
30×	`sqrt-prod`
18×	`associate-/r/`
16×	`associate-*r/`
12×	`associate-/l*`
10×	`cbrt-undiv` `div-exp`
9×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
8×	`pow1`
7×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `sqrt-div` `clear-num`
1×	`associate-r` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 140

Calls

3 calls:

54.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
26.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
33.0ms	(* 6.0 (* v v))

series905.0ms

Counts

3 → 9

Calls

3 calls:

745.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
131.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
29.0ms	(* 6.0 (* v v))

simplify2.0s

Counts

149 → 149

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	340	4122
1	873	3792
2	3193	3506
done	5000	3505

prune628.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	19	20
done	19	20

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	8055×	body	80	nan
761.0ms	8000×	body	80	valid