Details

sample149.0ms

Algorithm

intervals

Results

82.0ms	875×	body	80	nan
27.0ms	256×	body	80	valid

simplify86.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
3	18
2	16
1	12
0	9

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize109.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sqrt (- 1.0 (* x x))) x)
0.0b	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
42×	`times-frac`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
16×	`sqrt-prod`
13×	`fma-def`
8×	`log-prod` `distribute-lft-out`
7×	`associate-/l*`
6×	`add-exp-log` `div-inv`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `difference-of-squares`
3×	`expm1-log1p-u` `log-div` `associate-/r*` `insert-posit16` `log1p-expm1-u`
2×	`flip3-+` `distribute-rgt-out` `sqrt-div` `frac-add` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-exp` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 104

Calls

3 calls:

46.0ms	(/ (sqrt (- 1.0 (* x x))) x)
63.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
109.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series879.0ms

Counts

3 → 9

Calls

3 calls:

193.0ms	(/ (sqrt (- 1.0 (* x x))) x)
508.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
177.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify3.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1504
1	502
0	221

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize133.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x)))
0.1b	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x))
0.3b	(/ (sqrt 1.0) (sqrt x))
0.3b	(/ (sqrt 1.0) (sqrt x))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

84×	`sqrt-prod`
72×	`times-frac`
61×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`associate-/r` `associate-/l`
9×	`add-exp-log`
8×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
2×	`cbrt-undiv` `sqrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`rem-log-exp` `log-pow` `fma-udef`

Counts

4 → 154

Calls

4 calls:

3.0ms	(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x)))
1.0ms	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x))
19.0ms	(/ (sqrt 1.0) (sqrt x))
37.0ms	(/ (sqrt 1.0) (sqrt x))

series1.4s

Counts

4 → 12

Calls

4 calls:

731.0ms	(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x)))
431.0ms	(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) x))
100.0ms	(/ (sqrt 1.0) (sqrt x))
113.0ms	(/ (sqrt 1.0) (sqrt x))

simplify3.7s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	1510
1	520
0	228

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes270.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.7s	24380×	body	80	nan
1.2s	8000×	body	80	valid