Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	242×	body	80	nan

simplify58.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	10
1	91	10
2	263	10
3	620	10
4	1138	10
5	1470	10
6	1510	10
7	1510	10
done	1510	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	(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite180.0ms

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:

24.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
70.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms	(* 6.0 (* v v))
65.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series841.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
275.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
32.0ms	(* 6.0 (* v v))
426.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify105.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	888	1350
1	4408	1176
2	5002	1174
done	5002	1174

prune262.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

37.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
26.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
19.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
16.0ms	(* 6.0 (* v v))

series669.0ms

Counts

4 → 12

Calls

4 calls:

434.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
106.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
100.0ms	(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
29.0ms	(* 6.0 (* v v))

simplify108.0ms

Counts

171 → 171

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	937	2186
1	4457	2002
2	5001	1982
done	5001	1982

prune361.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
0.1b	(* (* v v) (* v v))
0.1b	(pow (* v v) 3)
0.1b	(* 6.0 (* v v))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
37×	`pow-prod-up`
27×	`pow-prod-down`
26×	`add-exp-log` `add-cbrt-cube`
23×	`pow-sqr`
22×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow-plus`
18×	`times-frac`
14×	`pow2`
12×	`prod-exp` `sqrt-prod` `cbrt-unprod`
6×	`pow-pow` `associate-/l*`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`sqrt-div` `associate-r` `pow-exp` `associate-/r/` `*-commutative` `associate-/l/` `rem-cube-cbrt` `unswap-sqr`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `flip3--` `frac-2neg` `flip3-+` `unpow3` `cube-prod` `swap-sqr` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 151

Calls

4 calls:

127.0ms	(/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
31.0ms	(* (* v v) (* v v))
6.0ms	(pow (* v v) 3)
16.0ms	(* 6.0 (* v v))

series338.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
33.0ms	(* (* v v) (* v v))
44.0ms	(pow (* v v) 3)
31.0ms	(* 6.0 (* v v))

simplify71.0ms

Counts

163 → 163

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	537	1211
1	2192	1105
2	5002	1100
done	5002	1100

prune399.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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	31	21
1	31	21
done	31	21

end0.0ms

sample769.0ms

Algorithm

intervals

Results

290.0ms	8000×	body	80	valid
249.0ms	7905×	body	80	nan