Details

sample153.0ms

Algorithm

intervals

Results

61.0ms	256×	body	80	valid
40.0ms	257×	body	80	nan

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
4	1440
3	365
2	102
1	50
0	28

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
0.2b	(/ (/ 2.0 t) 3.0)
1.6b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
5.0b	(/ (sqrt (+ a t)) (/ t z))

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

548×	`times-frac`
469×	`add-sqr-sqrt`
406×	`*-un-lft-identity`
347×	`add-cube-cbrt`
220×	`prod-diff`
131×	`associate--r+`
56×	`sqrt-prod`
41×	`difference-of-squares`
34×	`div-inv`
20×	`associate-/l*`
16×	`associate-/r*` `distribute-lft-out--`
14×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
13×	`fma-neg`
9×	`add-log-exp`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`diff-log` `associate-/l/`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `sqrt-div` `frac-sub` `flip--`
1×	`flip3-+` `associate-/r/` `flip-+` `fma-udef` `associate--r-`

Counts

4 → 473

Calls

4 calls:

178.0ms	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
22.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
41.0ms	(/ (sqrt (+ a t)) (/ t z))

series411.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
32.0ms	(/ (/ 2.0 t) 3.0)
231.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
108.0ms	(/ (sqrt (+ a t)) (/ t z))

simplify3.3s

Counts

485 → 485

Iterations

Iter	Nodes
done	5000
2	4831
1	2125
0	874

prune5.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 t) 3.0)
0.3b	(/ (sqrt (+ a t)) t)
0.4b	(* (/ (sqrt (+ a t)) t) z)
1.6b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (+ a t)) t) z))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
91×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-l`
20×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `distribute-lft-out`
6×	`pow1` `associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `unswap-sqr` `associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-div` `prod-exp` `cbrt-unprod`
1×	`flip3-+` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `fma-udef`

Counts

4 → 180

Calls

4 calls:

21.0ms	(/ (/ 2.0 t) 3.0)
31.0ms	(/ (sqrt (+ a t)) t)
66.0ms	(* (/ (sqrt (+ a t)) t) z)
1.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (+ a t)) t) z))

series492.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (/ 2.0 t) 3.0)
102.0ms	(/ (sqrt (+ a t)) t)
87.0ms	(* (/ (sqrt (+ a t)) t) z)
261.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (+ a t)) t) z))

simplify2.0s

Counts

192 → 192

Iterations

Iter	Nodes
done	5001
2	2226
1	823
0	353

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (+ a t)) t)
0.4b	(* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z)
1.6b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z))
57.9b	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
21×	`times-frac`
16×	`sqrt-prod`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l*`
2×	`sqrt-div` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `div-inv` `remove-posit16` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

43.0ms	(/ (sqrt (+ a t)) t)
13.0ms	(* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z)
1.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z))
1.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (sqrt (+ a t)) t)
91.0ms	(* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z)
255.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z))
116.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

simplify2.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3777
2	1164
1	455
0	211

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes542.0ms

Accuracy

0% (1.8b remaining)

Error of 2.4b against oracle of 0.6b and baseline of 2.4b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	29
1	29
0	26

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.3s	8000×	body	80	valid
1.7s	7909×	body	80	nan