Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
9.0ms	250×	body	80	nan

simplify63.0ms

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

localize12.0ms

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))))))

rewrite189.0ms

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:

25.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
74.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms	(* 6.0 (* v v))
69.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series830.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
276.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms	(* 6.0 (* v v))
425.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify113.0ms

Counts

135 → 135

Iterations

Useful iterations: 2 (100.0ms)

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

prune309.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 6.0 (* v v))
0.2b	(* 6.0 (* v v))
0.2b	(* 6.0 (* v v))
0.2b	(* 6.0 (* v v))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

16.0ms	(* 6.0 (* v v))
16.0ms	(* 6.0 (* v v))
16.0ms	(* 6.0 (* v v))
20.0ms	(* 6.0 (* v v))

series112.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 6.0 (* v v))
25.0ms	(* 6.0 (* v v))
25.0ms	(* 6.0 (* v v))
29.0ms	(* 6.0 (* v v))

simplify103.0ms

Counts

96 → 96

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	324
1	292	264
2	832	264
3	2900	264
4	5002	264
done	5002	264

prune342.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1` `add-sqr-sqrt`
13×	`associate-r`
12×	`sqrt-div`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-l` `prod-exp` `associate-/r/` `cbrt-unprod`
7×	`pow-prod-down`
6×	`flip3--` `flip3-+` `flip--` `flip-+`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `frac-2neg` `clear-num` `associate-/r*` `distribute-rgt-neg-out` `div-inv` `distribute-lft-out`

Counts

4 → 109

Calls

4 calls:

68.0ms	(* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
21.0ms	(* (* 3.0 PI) (- (* v v)))
16.0ms	(* 6.0 (* v v))
31.0ms	(/ 4.0 (* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series739.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
41.0ms	(* (* 3.0 PI) (- (* v v)))
26.0ms	(* 6.0 (* v v))
443.0ms	(/ 4.0 (* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify127.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	874	1510
1	4291	1306
2	5001	1303
done	5001	1303

prune348.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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	40	30
1	40	30
done	40	30

end0.0ms

sample823.0ms

Algorithm

intervals

Results

305.0ms	8000×	body	80	valid
272.0ms	8080×	body	80	nan