Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	277×	body	80	nan
9.0ms	256×	body	80	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	91	10
2	275	10
3	672	10
4	1303	10
5	1737	10
6	1802	10
7	1802	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

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))))))

rewrite85.0ms

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:

14.0ms	(* (* 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))
29.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series841.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
288.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms	(* 6.0 (* v v))
421.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify123.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	955	1468
1	4696	1282
2	5001	1281

prune312.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-exp-log`
52×	`add-cbrt-cube`
50×	`prod-exp`
46×	`add-sqr-sqrt`
44×	`times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
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×	`pow-prod-down` `associate-/r*`
6×	`associate-/l*`
5×	`associate-*r/`
4×	`expm1-log1p-u` `flip3--` `sqrt-div` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-flip`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `associate-*l/` `inv-pow`

Counts

4 → 179

Calls

4 calls:

15.0ms	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
7.0ms	(* 6.0 (* v v))
70.0ms	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
5.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

series751.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
24.0ms	(* 6.0 (* v v))
453.0ms	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
173.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1090	2055
1	5001	1762

prune400.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms

sample743.0ms

Algorithm

intervals

Results

300.0ms	8000×	body	80	valid
263.0ms	8062×	body	80	nan