Details

sample82.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
23.0ms	267×	body	80	nan

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	32	20
2	90	20
3	259	20
4	730	20
5	1774	20
6	3054	20
7	3946	20
8	4938	20
done	5000	20

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize28.0ms

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))))))

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:

30.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
121.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
35.0ms	(* 6.0 (* v v))
114.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
462.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
37.0ms	(* 6.0 (* v v))
673.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify516.0ms

Counts

121 → 121

Iterations

Useful iterations: done (512.0ms)

Iter	Nodes	Cost
0	307	2810
1	933	2618
done	5000	2274

prune576.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
14×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r/` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`pow-prod-down`
6×	`sub-neg` `associate-r`
4×	`add-log-exp`
3×	`cbrt-undiv` `flip3--` `times-frac` `div-exp` `-commutative` `flip--` `associate-/l`
2×	`associate-/r/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `difference-of-squares`

Counts

4 → 97

Calls

4 calls:

52.0ms	(* 3.0 (* PI (- 1.0 (* v v))))
57.0ms	(/ 4.0 (* 3.0 (* PI (- 1.0 (* v v)))))
24.0ms	(* PI (- 1.0 (* v v)))
22.0ms	(* 6.0 (* v v))

series485.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* 3.0 (* PI (- 1.0 (* v v))))
186.0ms	(/ 4.0 (* 3.0 (* PI (- 1.0 (* v v)))))
96.0ms	(* PI (- 1.0 (* v v)))
34.0ms	(* 6.0 (* v v))

simplify1.6s

Counts

109 → 109

Iterations

Useful iterations: 2 (401.0ms)

Iter	Nodes	Cost
0	176	1332
1	482	1269
2	2386	1083
done	5001	1083

prune763.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 4.0 (+ (* (* PI 1.0) 3.0) (- (* 3.0 (* (pow v 2) PI)))))
0.2b	(* (pow v 2) PI)
0.2b	(* 6.0 (* v v))
0.2b	(* 3.0 (* (pow v 2) PI))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
24×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-l`
13×	`prod-exp`
11×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
5×	`associate-r` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 94

Calls

4 calls:

42.0ms	(/ 4.0 (+ (* (* PI 1.0) 3.0) (- (* 3.0 (* (pow v 2) PI)))))
25.0ms	(* (pow v 2) PI)
19.0ms	(* 6.0 (* v v))
27.0ms	(* 3.0 (* (pow v 2) PI))

series303.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ 4.0 (+ (* (* PI 1.0) 3.0) (- (* 3.0 (* (pow v 2) PI)))))
29.0ms	(* (pow v 2) PI)
42.0ms	(* 6.0 (* v v))
80.0ms	(* 3.0 (* (pow v 2) PI))

simplify1.8s

Counts

106 → 106

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	185	1464
1	466	1353
2	2178	1125
done	5000	1123

prune422.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.0s

Algorithm

intervals

Results

788.0ms	8126×	body	80	nan
782.0ms	8000×	body	80	valid