Details

sample61.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
14.0ms	208×	body	80	nan

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	1701
7	1701
6	1666
5	1268
4	581
3	225
2	85
1	32
0	16

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize95.0ms

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))))))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-cbrt-cube` `add-exp-log`
23×	`pow1`
18×	`prod-exp` `associate-*r/` `cbrt-unprod`
14×	`add-sqr-sqrt`
13×	`flip3--` `flip--`
12×	`*-un-lft-identity` `sqrt-div` `pow-prod-down` `add-cube-cbrt`
11×	`associate-r`
8×	`frac-times` `associate-/r/`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `sqrt-prod` `associate-/l`
2×	`sub-neg`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

72.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
137.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
21.0ms	(* 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:

173.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
418.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
52.0ms	(* 6.0 (* v v))
719.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify6.2s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	3851
1	987
0	336

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize58.0ms

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))))))

rewrite383.0ms

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×	`expm1-log1p-u` `flip3--` `sqrt-div` `insert-posit16` `log1p-expm1-u` `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 → 183

Calls

4 calls:

65.0ms	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
27.0ms	(* 6.0 (* v v))
16.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
261.0ms	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

209.0ms	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
51.0ms	(* 6.0 (* v v))
284.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
667.0ms	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify6.9s

Counts

195 → 195

Iterations

Iter	Nodes
done	5003
2	4364
1	1125
0	392

prune1.7s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
50×	`add-sqr-sqrt`
49×	`*-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*`
6×	`sqrt-div` `prod-diff` `pow-prod-down`
5×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-r` `flip--`
4×	`expm1-log1p-u` `associate-l` `associate-*r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `sub-neg` `frac-2neg` `*-commutative`
1×	`difference-of-squares` `associate-/l/`

Counts

4 → 176

Calls

4 calls:

64.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
40.0ms	(* v (* 6.0 v))
91.0ms	(/ (/ 4.0 (sqrt (- 2.0 (* v (* 6.0 v))))) (* (* 3.0 PI) (- 1.0 (* v v))))
27.0ms	(/ 4.0 (sqrt (- 2.0 (* v (* 6.0 v)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
45.0ms	(* v (* 6.0 v))
707.0ms	(/ (/ 4.0 (sqrt (- 2.0 (* v (* 6.0 v))))) (* (* 3.0 PI) (- 1.0 (* v v))))
275.0ms	(/ 4.0 (sqrt (- 2.0 (* v (* 6.0 v)))))

simplify6.1s

Counts

188 → 188

Iterations

Iter	Nodes
done	5217
2	3731
1	1054
0	383

prune1.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify9.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
733.0ms	8095×	body	80	nan