Details

sample58.0ms

Algorithm

intervals

Results

35.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
3	709
2	152
1	33
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite335.0ms

Algorithm

rewrite-expression-head

Rules

255×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
172×	`times-frac`
159×	`add-cube-cbrt`
156×	`prod-diff`
83×	`associate-l`
54×	`associate-r`
28×	`unswap-sqr`
20×	`difference-of-squares`
18×	`associate-/r` `-commutative`
13×	`div-inv`
12×	`fma-neg`
10×	`distribute-lft-out--`
7×	`add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `prod-exp` `cbrt-unprod`

Counts

2 → 283

Calls

2 calls:

57.0ms	(- (* 4 i) (/ 1.0 i))
255.0ms	(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

series200.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(- (* 4 i) (/ 1.0 i))
115.0ms	(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

simplify2.2s

Counts

289 → 289

Iterations

Iter	Nodes
done	5039
2	2916
1	1048
0	437

prune820.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt 1.0) (sqrt i))
0.2b	(/ (sqrt 1.0) (sqrt i))
0.2b	(/ 1.0 (sqrt i))
0.4b	(/ (/ 1.0 (sqrt i)) (sqrt i))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

348×	`times-frac`
231×	`sqrt-prod`
215×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
40×	`associate-/l*`
30×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/l/`
11×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`clear-num` `frac-2neg`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-undiv`

Counts

4 → 359

Calls

4 calls:

8.0ms	(/ (sqrt 1.0) (sqrt i))
8.0ms	(/ (sqrt 1.0) (sqrt i))
6.0ms	(/ 1.0 (sqrt i))
32.0ms	(/ (/ 1.0 (sqrt i)) (sqrt i))

series321.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (sqrt 1.0) (sqrt i))
108.0ms	(/ (sqrt 1.0) (sqrt i))
51.0ms	(/ 1.0 (sqrt i))
60.0ms	(/ (/ 1.0 (sqrt i)) (sqrt i))

simplify1.8s

Counts

371 → 371

Iterations

Iter	Nodes
done	5006
2	2001
1	818
0	359

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

476×	`add-sqr-sqrt`
290×	`*-un-lft-identity`
215×	`add-cube-cbrt`
214×	`times-frac`
156×	`prod-diff`
147×	`associate-/r*`
135×	`frac-times`
93×	`associate-l`
82×	`associate-/l*`
72×	`difference-of-squares`
56×	`unswap-sqr`
55×	`associate-r`
36×	`distribute-lft-out--`
29×	`add-exp-log`
28×	`clear-num`
27×	`frac-2neg`
17×	`add-cbrt-cube`
15×	`associate-l/` `-commutative` `div-inv`
12×	`fma-neg`
10×	`div-exp`
9×	`associate-*r/`
8×	`prod-exp`
6×	`pow1`
5×	`cbrt-undiv` `add-log-exp`
4×	`associate-/r/` `cbrt-unprod`
3×	`expm1-log1p-u` `rec-exp` `flip3--` `1-exp` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`un-div-inv`
1×	`sub-neg` `diff-log` `pow-prod-down` `pow-flip` `inv-pow`

Counts

3 → 486

Calls

3 calls:

59.0ms	(- (* 4 i) (/ 1.0 i))
70.0ms	(/ 1 (- (* 4 i) (/ 1.0 i)))
301.0ms	(* (/ 1 (- (* 4 i) (/ 1.0 i))) (/ i 4))

series352.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(- (* 4 i) (/ 1.0 i))
99.0ms	(/ 1 (- (* 4 i) (/ 1.0 i)))
147.0ms	(* (/ 1 (- (* 4 i) (/ 1.0 i))) (/ i 4))

simplify1.7s

Counts

495 → 495

Iterations

Iter	Nodes
done	5000
1	2016
0	658

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ 1.0 i))
0.1b	(sqrt (/ 1.0 i))
0.2b	(/ (sqrt i) (* (- (* (sqrt 4) (sqrt i)) (sqrt (/ 1.0 i))) 4))
0.2b	(/ (sqrt i) (+ (* (sqrt 4) (sqrt i)) (sqrt (/ 1.0 i))))

rewrite688.0ms

Algorithm

rewrite-expression-head

Rules

475×	`add-sqr-sqrt`
322×	`sqrt-prod`
271×	`times-frac`
210×	`*-un-lft-identity`
175×	`associate-l`
126×	`add-cube-cbrt`
105×	`difference-of-squares`
91×	`unswap-sqr`
42×	`associate-/r*`
21×	`associate-r` `distribute-lft-out` `distribute-lft-out--`
18×	`sqrt-div` `associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
7×	`*-commutative`
6×	`pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`sqrt-pow1` `pow1/2` `associate-*l/`
1×	`flip3-+` `flip3--` `prod-exp` `cbrt-unprod` `flip-+` `flip--`

Counts

4 → 372

Calls

4 calls:

5.0ms	(sqrt (/ 1.0 i))
8.0ms	(sqrt (/ 1.0 i))
492.0ms	(/ (sqrt i) (* (- (* (sqrt 4) (sqrt i)) (sqrt (/ 1.0 i))) 4))
161.0ms	(/ (sqrt i) (+ (* (sqrt 4) (sqrt i)) (sqrt (/ 1.0 i))))

series1.4s

Counts

4 → 12

Calls

4 calls:

99.0ms	(sqrt (/ 1.0 i))
80.0ms	(sqrt (/ 1.0 i))
598.0ms	(/ (sqrt i) (* (- (* (sqrt 4) (sqrt i)) (sqrt (/ 1.0 i))) 4))
608.0ms	(/ (sqrt i) (+ (* (sqrt 4) (sqrt i)) (sqrt (/ 1.0 i))))

simplify2.4s

Counts

384 → 384

Iterations

Iter	Nodes
done	5002
2	2611
1	952
0	429

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	23
1	23
0	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
233.0ms	8000×	pre	80	true