Details

sample66.0ms

Algorithm

intervals

Results

34.0ms	256×	body	80	valid
18.0ms	256×	pre	80	true

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	776
2	157
1	33
0	10

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1/4 (- 4 (/ 1.0 (* i i))))
0.6b	(/ 1.0 (* i i))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`times-frac`
23×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`difference-of-squares`
7×	`associate-/r*`
6×	`associate-/l*`
4×	`distribute-lft-out--`
3×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`

Counts

2 → 68

Calls

2 calls:

25.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))
7.0ms	(/ 1.0 (* i i))

series135.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))
48.0ms	(/ 1.0 (* i i))

simplify1.9s

Counts

74 → 74

Iterations

Iter	Nodes
done	5038
3	3210
2	892
1	317
0	145

prune273.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 i) i)
0.1b	(/ (/ 1 i) i)
0.2b	(fma (/ (/ 1 i) i) 0.015625 1/16)
0.5b	(/ 0.00390625 (* i i))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
90×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
29×	`associate-/l*`
27×	`add-exp-log`
19×	`add-cbrt-cube`
14×	`div-exp`
11×	`div-inv`
10×	`pow1`
8×	`cbrt-undiv`
7×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `pow-div`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `1-exp` `pow-flip` `inv-pow` `associate-/l/`
1×	`prod-exp` `cbrt-unprod` `fma-udef`

Counts

4 → 189

Calls

4 calls:

8.0ms	(/ (/ 1 i) i)
11.0ms	(/ (/ 1 i) i)
0.0ms	(fma (/ (/ 1 i) i) 0.015625 1/16)
6.0ms	(/ 0.00390625 (* i i))

series143.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (/ 1 i) i)
29.0ms	(/ (/ 1 i) i)
55.0ms	(fma (/ (/ 1 i) i) 0.015625 1/16)
40.0ms	(/ 0.00390625 (* i i))

simplify2.4s

Counts

201 → 201

Iterations

Iter	Nodes
done	5000
3	4539
2	1126
1	411
0	196

prune671.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 (* (* i i) (* i i)) (* (* 4.0 (* (* i i) (* i i))) (* i i)))
0.1b	(* (* 4.0 (* (* i i) (* i i))) (* i i))
0.2b	(* (* i i) (* i i))
0.2b	(* (* i i) (* i i))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

282×	`pow1`
90×	`pow-prod-down`
84×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-up`
60×	`prod-exp` `cbrt-unprod`
44×	`pow-sqr`
36×	`pow-plus`
26×	`pow2`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `*-commutative`
2×	`swap-sqr` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 192

Calls

4 calls:

0.0ms	(fma 1.0 (* (* i i) (* i i)) (* (* 4.0 (* (* i i) (* i i))) (* i i)))
278.0ms	(* (* 4.0 (* (* i i) (* i i))) (* i i))
40.0ms	(* (* i i) (* i i))
40.0ms	(* (* i i) (* i i))

series344.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(fma 1.0 (* (* i i) (* i i)) (* (* 4.0 (* (* i i) (* i i))) (* i i)))
68.0ms	(* (* 4.0 (* (* i i) (* i i))) (* i i))
35.0ms	(* (* i i) (* i i))
53.0ms	(* (* i i) (* i i))

simplify3.9s

Counts

204 → 204

Iterations

Iter	Nodes
done	5000
2	1096
1	266
0	118

prune433.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s	8000×	body	80	valid
281.0ms	8000×	pre	80	true