Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1029
2	169
1	32
0	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 2.0 (* i 2.0)) (/ 1.0 i))
0.1b	(/ (/ (/ i 2.0) 2.0) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

402×	`times-frac`
193×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
43×	`associate-/l*`
18×	`div-inv`
13×	`prod-diff`
11×	`add-cbrt-cube` `add-exp-log`
6×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--`
1×	`clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `associate-/l/`

Counts

2 → 224

Calls

2 calls:

18.0ms	(- (* 2.0 (* i 2.0)) (/ 1.0 i))
58.0ms	(/ (/ (/ i 2.0) 2.0) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

series234.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(- (* 2.0 (* i 2.0)) (/ 1.0 i))
124.0ms	(/ (/ (/ i 2.0) 2.0) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

simplify652.0ms

Counts

230 → 230

Iterations

Iter	Nodes
done	5000
1	1558
0	561

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
0.1b	(* (/ i 2.0) (/ (/ 1 2.0) (fma 2.0 (* 2.0 i) (/ (- 1.0) i))))
0.3b	(/ (/ 1 2.0) (fma 2.0 (* 2.0 i) (/ (- 1.0) i)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

164×	`times-frac`
115×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
87×	`add-cube-cbrt`
47×	`add-exp-log`
43×	`associate-r`
29×	`add-cbrt-cube`
23×	`div-exp`
13×	`associate-l` `associate-/l*`
12×	`cbrt-undiv`
10×	`prod-exp` `div-inv`
8×	`unswap-sqr`
6×	`cbrt-unprod`
5×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `associate-/r*` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `fma-udef` `associate-/l/`

Counts

3 → 178

Calls

3 calls:

0.0ms	(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
50.0ms	(* (/ i 2.0) (/ (/ 1 2.0) (fma 2.0 (* 2.0 i) (/ (- 1.0) i))))
18.0ms	(/ (/ 1 2.0) (fma 2.0 (* 2.0 i) (/ (- 1.0) i)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
120.0ms	(* (/ i 2.0) (/ (/ 1 2.0) (fma 2.0 (* 2.0 i) (/ (- 1.0) i))))
87.0ms	(/ (/ 1 2.0) (fma 2.0 (* 2.0 i) (/ (- 1.0) i)))

simplify607.0ms

Counts

187 → 187

Iterations

Iter	Nodes
done	5001
1	952
0	312

prune858.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
0.1b	(/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0))
0.4b	(/ (/ 1 1) (/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0)))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

7928×	`times-frac`
3218×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
335×	`div-inv`
177×	`associate-/r*`
106×	`add-exp-log`
92×	`div-exp`
44×	`add-cbrt-cube`
30×	`cbrt-undiv`
20×	`1-exp`
16×	`associate-/r/` `associate-/l*`
8×	`rec-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`fma-udef` `associate-/l/`

Counts

3 → 2143

Calls

3 calls:

1.0ms	(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
25.0ms	(/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0))
97.0ms	(/ (/ 1 1) (/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0)))

series398.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
186.0ms	(/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0))
126.0ms	(/ (/ 1 1) (/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0)))

simplify2.6s

Counts

2152 → 2152

Iterations

Iter	Nodes
done	5000
0	3477

prune8.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* i 2.0) 2.0 (/ (- 1.0) i))
0.2b	(* (sqrt (/ i 2.0)) (/ (* 1 (sqrt (/ i 2.0))) (* 2.0 (fma (* i 2.0) 2.0 (/ (- 1.0) i)))))
0.5b	(/ (* 1 (sqrt (/ i 2.0))) (* 2.0 (fma (* i 2.0) 2.0 (/ (- 1.0) i))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
33×	`add-cbrt-cube`
21×	`prod-exp`
19×	`add-sqr-sqrt`
16×	`associate-l`
15×	`sqrt-prod`
13×	`cbrt-unprod`
12×	`*-un-lft-identity` `times-frac` `div-exp` `add-cube-cbrt`
8×	`cbrt-undiv`
5×	`pow1` `associate-r`
4×	`1-exp`
3×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`associate-*r/`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `associate-/l` `associate-/l/`

Counts

3 → 86

Calls

3 calls:

0.0ms	(fma (* i 2.0) 2.0 (/ (- 1.0) i))
40.0ms	(* (sqrt (/ i 2.0)) (/ (* 1 (sqrt (/ i 2.0))) (* 2.0 (fma (* i 2.0) 2.0 (/ (- 1.0) i)))))
28.0ms	(/ (* 1 (sqrt (/ i 2.0))) (* 2.0 (fma (* i 2.0) 2.0 (/ (- 1.0) i))))

series546.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(fma (* i 2.0) 2.0 (/ (- 1.0) i))
267.0ms	(* (sqrt (/ i 2.0)) (/ (* 1 (sqrt (/ i 2.0))) (* 2.0 (fma (* i 2.0) 2.0 (/ (- 1.0) i)))))
171.0ms	(/ (* 1 (sqrt (/ i 2.0))) (* 2.0 (fma (* i 2.0) 2.0 (/ (- 1.0) i))))

simplify2.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	3927
1	580
0	210

prune439.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample824.0ms

Algorithm

intervals

Results

547.0ms	8000×	body	80	valid
135.0ms	8000×	pre	80	true