Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	263×	body	80	nan

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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
done	1802	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 2.0 (* 6.0 (* 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))))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

7.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
74.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms	(* 6.0 (* v v))
66.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series807.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
273.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms	(* 6.0 (* v v))
427.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify102.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	905	1373
1	4275	1219
2	5001	1215
done	5001	1215

prune312.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 157

Calls

4 calls:

9.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
20.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
41.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms	(* 6.0 (* v v))

series631.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
100.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
426.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
26.0ms	(* 6.0 (* v v))

simplify104.0ms

Counts

169 → 169

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	982	2204
1	4458	2042
2	5001	2037
done	5001	2037

prune441.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (pow v 2) (sqrt 0.5)) PI)
0.2b	(* (pow v 2) (sqrt 0.5))
1.0b	(/ (sqrt 0.5) PI)
1.0b	(pow (sqrt 0.5) 3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity`
25×	`sqrt-prod`
22×	`add-exp-log`
21×	`times-frac`
14×	`add-cbrt-cube`
11×	`unpow-prod-down`
8×	`associate-l` `unswap-sqr`
7×	`associate-/l*`
6×	`pow1` `cube-prod` `associate-r` `prod-exp` `associate-/r*`
5×	`div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cbrt-undiv` `pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `unpow2`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `div-inv`
1×	`cube-mult` `sqrt-pow1` `pow1/2` `unpow3` `*-commutative` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 136

Calls

4 calls:

12.0ms	(/ (* (pow v 2) (sqrt 0.5)) PI)
14.0ms	(* (pow v 2) (sqrt 0.5))
6.0ms	(/ (sqrt 0.5) PI)
4.0ms	(pow (sqrt 0.5) 3)

series120.0ms

Counts

4 → 8

Calls

4 calls:

69.0ms	(/ (* (pow v 2) (sqrt 0.5)) PI)
50.0ms	(* (pow v 2) (sqrt 0.5))
0.0ms	(/ (sqrt 0.5) PI)
0.0ms	(pow (sqrt 0.5) 3)

simplify75.0ms

Counts

144 → 144

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	414	713
1	2365	635
2	5001	622
done	5001	622

prune613.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10
done	19	10

end0.0ms

sample782.0ms

Algorithm

intervals

Results

278.0ms	8000×	body	80	valid
264.0ms	8270×	body	80	nan