Details

sample99.0ms

Algorithm

intervals

Results

44.0ms	256×	body	80	valid
34.0ms	250×	body	80	nan

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2036
5	2036
4	1057
3	256
2	89
1	34
0	16

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma -6 (* v v) 2))
0.0b	(/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))
0.0b	(/ (/ 4/3 PI) (- 1 (* v v)))
1.0b	(/ 4/3 PI)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

1324×	`times-frac`
662×	`add-sqr-sqrt`
661×	`*-un-lft-identity`
556×	`add-cube-cbrt`
219×	`sqrt-prod`
210×	`difference-of-squares`
87×	`associate-/l*`
51×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r/`
14×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
8×	`flip3--` `flip--`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 672

Calls

4 calls:

2.0ms	(sqrt (fma -6 (* v v) 2))
32.0ms	(/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))
12.0ms	(/ (/ 4/3 PI) (- 1 (* v v)))
4.0ms	(/ 4/3 PI)

series797.0ms

Counts

4 → 10

Calls

4 calls:

72.0ms	(sqrt (fma -6 (* v v) 2))
548.0ms	(/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))
176.0ms	(/ (/ 4/3 PI) (- 1 (* v v)))
0.0ms	(/ 4/3 PI)

simplify1.7s

Counts

682 → 682

Iterations

Iter	Nodes
done	2000
1	2000
0	1055

prune8.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma -6 (* v v) 2))
0.0b	(/ (/ 1 PI) (- 1 (* v v)))
0.0b	(/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))
0.0b	(* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

2419×	`times-frac`
1204×	`add-sqr-sqrt`
1171×	`*-un-lft-identity`
986×	`add-cube-cbrt`
436×	`sqrt-prod`
430×	`associate-r`
366×	`difference-of-squares`
87×	`div-inv`
84×	`associate-/l*`
50×	`add-exp-log`
32×	`add-cbrt-cube`
28×	`div-exp` `associate-/r/`
15×	`cbrt-undiv`
14×	`flip3--` `flip--`
11×	`associate-/r*`
9×	`unswap-sqr`
7×	`pow1`
6×	`prod-exp`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-l`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 1111

Calls

4 calls:

1.0ms	(sqrt (fma -6 (* v v) 2))
16.0ms	(/ (/ 1 PI) (- 1 (* v v)))
40.0ms	(/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))
58.0ms	(* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))

series1.2s

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (fma -6 (* v v) 2))
133.0ms	(/ (/ 1 PI) (- 1 (* v v)))
396.0ms	(/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))
561.0ms	(* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))

simplify2.4s

Counts

1123 → 1123

Iterations

Iter	Nodes
done	2001
1	2001
0	1367

prune13.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (/ (* (cbrt 4/3) (cbrt 4/3)) 1) (+ 1 v)) (/ (sqrt (fma -6 (* v v) 2)) (/ (/ (cbrt 4/3) PI) (- 1 v))))
0.0b	(/ (/ (* (cbrt 4/3) (cbrt 4/3)) 1) (+ 1 v))
1.0b	(/ (sqrt (fma -6 (* v v) 2)) (/ (/ (cbrt 4/3) PI) (- 1 v)))
1.0b	(/ (cbrt 4/3) PI)

rewrite4.6s

Algorithm

rewrite-expression-head

Rules

143631×	`times-frac`
71285×	`*-un-lft-identity`
59593×	`add-sqr-sqrt`
45271×	`add-cube-cbrt`
14907×	`sqrt-prod`
11730×	`cbrt-prod`
9548×	`difference-of-squares`
5846×	`distribute-lft-out`
5733×	`div-inv`
4774×	`distribute-lft-out--`
2141×	`associate-/r/`
978×	`associate-/r*`
835×	`flip3-+` `flip-+`
217×	`flip3--` `flip--`
149×	`add-exp-log`
112×	`div-exp`
88×	`add-cbrt-cube`
72×	`cbrt-undiv`
53×	`associate-/l*`
10×	`1-exp` `prod-exp`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`

Counts

4 → 30341

Calls

4 calls:

112.0ms	(/ (/ (/ (* (cbrt 4/3) (cbrt 4/3)) 1) (+ 1 v)) (/ (sqrt (fma -6 (* v v) 2)) (/ (/ (cbrt 4/3) PI) (- 1 v))))
38.0ms	(/ (/ (* (cbrt 4/3) (cbrt 4/3)) 1) (+ 1 v))
31.0ms	(/ (sqrt (fma -6 (* v v) 2)) (/ (/ (cbrt 4/3) PI) (- 1 v)))
9.0ms	(/ (cbrt 4/3) PI)

series803.0ms

Counts

4 → 10

Calls

4 calls:

512.0ms	(/ (/ (/ (* (cbrt 4/3) (cbrt 4/3)) 1) (+ 1 v)) (/ (sqrt (fma -6 (* v v) 2)) (/ (/ (cbrt 4/3) PI) (- 1 v))))
94.0ms	(/ (/ (* (cbrt 4/3) (cbrt 4/3)) 1) (+ 1 v))
195.0ms	(/ (sqrt (fma -6 (* v v) 2)) (/ (/ (cbrt 4/3) PI) (- 1 v)))
0.0ms	(/ (cbrt 4/3) PI)

simplify55.4s

Counts

30351 → 30351

Iterations

Iter	Nodes
done	25800
0	25800

prune6.5m

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

824.0ms	8000×	body	80	valid
754.0ms	7995×	body	80	nan