Details

sample51.0ms

Algorithm

intervals

Results

32.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	711
2	147
1	32
0	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 4 i) (/ 1.0 i))
0.1b	(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-*r/` `associate-/r/` `insert-posit16` `flip--`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `diff-log` `prod-exp` `cbrt-unprod` `div-inv`

Counts

2 → 37

Calls

2 calls:

11.0ms	(- (* 4 i) (/ 1.0 i))
15.0ms	(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

series246.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(- (* 4 i) (/ 1.0 i))
138.0ms	(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

simplify3.0s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	4627
2	824
1	244
0	100

prune209.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 4 i) (/ 1.0 i))
0.1b	(/ (* 4 (- (* 4 i) (/ 1.0 i))) i)
0.6b	(/ 1 (/ (* 4 (- (* 4 i) (/ 1.0 i))) i))

rewrite471.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
29×	`add-exp-log`
21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-cbrt-cube`
14×	`div-exp`
10×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `prod-exp` `associate-/l*`
3×	`rec-exp` `1-exp` `insert-posit16`
2×	`clear-num` `frac-2neg` `flip3--` `associate-*r/` `cbrt-unprod` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 94

Calls

3 calls:

9.0ms	(- (* 4 i) (/ 1.0 i))
41.0ms	(/ (* 4 (- (* 4 i) (/ 1.0 i))) i)
420.0ms	(/ 1 (/ (* 4 (- (* 4 i) (/ 1.0 i))) i))

series495.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (* 4 i) (/ 1.0 i))
246.0ms	(/ (* 4 (- (* 4 i) (/ 1.0 i))) i)
148.0ms	(/ 1 (/ (* 4 (- (* 4 i) (/ 1.0 i))) i))

simplify1.9s

Counts

103 → 103

Iterations

Iter	Nodes
done	5008
2	1819
1	478
0	173

prune264.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ (* (* (* i i) (* (* i i) (* i i))) 4.0) (* 1.0 (* (* i i) (* i i))))) (* 0.25 (* i i)))
0.1b	(* (* i i) (* (* i i) (* i i)))
0.1b	(* (* i i) (* i i))
0.1b	(* (* i i) (* i i))

rewrite4.9s

Algorithm

rewrite-expression-head

Rules

848×	`pow1`
370×	`pow-prod-up`
175×	`pow-prod-down`
153×	`pow-sqr`
140×	`pow-plus`
99×	`pow2`
69×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
11×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16`
3×	`diff-log` `associate-r` `associate-l` `*-commutative` `unswap-sqr`
2×	`swap-sqr` `neg-log`
1×	`associate--l-` `neg-sub0` `distribute-neg-in` `sum-log` `sub-neg` `flip3--` `cube-unmult` `associate--l+` `flip--`

Counts

4 → 337

Calls

4 calls:

4.7s	(- (- (+ (* (* (* i i) (* (* i i) (* i i))) 4.0) (* 1.0 (* (* i i) (* i i))))) (* 0.25 (* i i)))
75.0ms	(* (* i i) (* (* i i) (* i i)))
26.0ms	(* (* i i) (* i i))
40.0ms	(* (* i i) (* i i))

series267.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (- (+ (* (* (* i i) (* (* i i) (* i i))) 4.0) (* 1.0 (* (* i i) (* i i))))) (* 0.25 (* i i)))
75.0ms	(* (* i i) (* (* i i) (* i i)))
49.0ms	(* (* i i) (* i i))
43.0ms	(* (* i i) (* i i))

simplify1.8s

Counts

349 → 349

Iterations

Iter	Nodes
done	5002
2	1508
1	507
0	165

prune325.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* i i) (* i i))
13.4b	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
40.7b	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

302×	`add-cbrt-cube` `add-exp-log`
168×	`prod-exp` `cbrt-unprod`
114×	`pow1`
76×	`cbrt-undiv` `div-exp`
36×	`pow-prod-up`
26×	`times-frac`
23×	`pow-prod-down`
22×	`pow-sqr`
20×	`add-sqr-sqrt`
18×	`pow-plus`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow2`
7×	`div-inv`
6×	`associate-/l*` `difference-of-squares`
5×	`associate-/r*`
3×	`insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`flip3--` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip--` `unswap-sqr` `associate-/l/`

Counts

3 → 223

Calls

3 calls:

34.0ms	(* (* i i) (* i i))
106.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
69.0ms	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (* i i) (* i i))
99.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
43.0ms	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

simplify2.3s

Counts

232 → 232

Iterations

Iter	Nodes
done	5001
2	4789
1	825
0	280

prune316.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

839.0ms	8000×	body	80	valid
181.0ms	8000×	pre	80	true