Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
12.0ms	251×	body	80	nan

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3736
5	1812
4	764
3	271
2	90
1	32
0	16

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

43×	`times-frac`
33×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
8×	`difference-of-squares`
7×	`associate-/l*`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `sqrt-div` `associate-/r/` `flip--`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 98

Calls

3 calls:

6.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
22.0ms	(/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v)))
14.0ms	(* 6.0 (* v v))

series284.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
142.0ms	(/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v)))
40.0ms	(* 6.0 (* v v))

simplify2.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	3682
1	678
0	257

prune708.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 1 (+ v (sqrt 1.0))) PI)
0.0b	(/ 1 (+ v (sqrt 1.0)))
0.0b	(* (/ (/ 1 (+ v (sqrt 1.0))) PI) (/ 4.0 (* (- (sqrt 1.0) v) 3.0)))
0.2b	(* 6.0 (* v v))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

212×	`times-frac`
161×	`*-un-lft-identity`
123×	`add-sqr-sqrt`
110×	`add-cube-cbrt`
82×	`add-exp-log`
61×	`associate-l`
52×	`add-cbrt-cube`
36×	`div-exp`
25×	`distribute-lft-out`
23×	`prod-exp`
21×	`associate-/l*`
19×	`cbrt-undiv`
18×	`associate-/r/`
15×	`cbrt-unprod`
12×	`pow1`
11×	`div-inv`
10×	`associate-r`
8×	`flip3-+` `flip-+`
7×	`associate-/r*`
5×	`rec-exp` `1-exp` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `flip3--` `associate-*r/` `pow-flip` `flip--` `inv-pow` `associate-/l/`

Counts

4 → 263

Calls

4 calls:

34.0ms	(/ (/ 1 (+ v (sqrt 1.0))) PI)
25.0ms	(/ 1 (+ v (sqrt 1.0)))
118.0ms	(* (/ (/ 1 (+ v (sqrt 1.0))) PI) (/ 4.0 (* (- (sqrt 1.0) v) 3.0)))
26.0ms	(* 6.0 (* v v))

series498.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (/ 1 (+ v (sqrt 1.0))) PI)
64.0ms	(/ 1 (+ v (sqrt 1.0)))
287.0ms	(* (/ (/ 1 (+ v (sqrt 1.0))) PI) (/ 4.0 (* (- (sqrt 1.0) v) 3.0)))
44.0ms	(* 6.0 (* v v))

simplify606.0ms

Counts

275 → 275

Iterations

Iter	Nodes
done	5000
1	1230
0	404

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample1.9s

Algorithm

intervals

Results

887.0ms	8000×	body	80	valid
682.0ms	8164×	body	80	nan