Details

sample439.0ms

Algorithm

intervals

Results

305.0ms	1833×	body	80	nan
41.0ms	257×	body	80	valid

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3467
6	1851
5	984
4	411
3	155
2	61
1	27
0	15

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (- 0.5 a) (log t) t)
0.2b	(- (log z) (fma (- 0.5 a) (log t) t))
0.2b	(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`prod-diff`
22×	`add-cube-cbrt`
17×	`pow1` `associate-+l+`
14×	`log-pow`
10×	`log-prod`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
6×	`fma-def` `associate--l+` `add-log-exp`
4×	`associate-+r+` `fma-neg`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`log-div` `associate-+r-` `sum-log` `sub-neg` `flip3-+` `diff-log` `flip-+` `fma-udef` `difference-of-squares`
1×	`+-commutative` `flip3--` `associate-+l-` `flip--` `associate--r+`

Counts

3 → 100

Calls

3 calls:

0.0ms	(fma (- 0.5 a) (log t) t)
10.0ms	(- (log z) (fma (- 0.5 a) (log t) t))
61.0ms	(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma (- 0.5 a) (log t) t)
124.0ms	(- (log z) (fma (- 0.5 a) (log t) t))
143.0ms	(+ (- (log z) (fma (- 0.5 a) (log t) t)) (log (+ y x)))

simplify2.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
3	4681
2	1347
1	464
0	183

prune727.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (log (sqrt z)) (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)))
0.1b	(fma (- 0.5 a) (log t) t)
0.2b	(+ (+ (log (sqrt z)) (- (log (sqrt z)) (fma (- 0.5 a) (log t) t))) (log (+ y x)))
0.2b	(- (log (sqrt z)) (fma (- 0.5 a) (log t) t))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
52×	`log-pow`
48×	`pow1`
39×	`distribute-lft-out`
36×	`prod-diff`
34×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
30×	`associate-+r+`
22×	`log-prod`
18×	`distribute-lft-out--`
15×	`fma-def`
12×	`associate--l+`
10×	`add-log-exp`
9×	`sqrt-prod`
8×	`sqrt-pow1` `pow1/2`
7×	`associate-+l+` `sum-log`
6×	`fma-neg`
4×	`expm1-log1p-u` `associate-+r-` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`flip3-+` `diff-log` `flip-+`
2×	`+-commutative` `log-div` `sub-neg` `fma-udef`
1×	`flip3--` `associate-+l-` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 167

Calls

4 calls:

43.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)))
0.0ms	(fma (- 0.5 a) (log t) t)
150.0ms	(+ (+ (log (sqrt z)) (- (log (sqrt z)) (fma (- 0.5 a) (log t) t))) (log (+ y x)))
18.0ms	(- (log (sqrt z)) (fma (- 0.5 a) (log t) t))

series703.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)))
45.0ms	(fma (- 0.5 a) (log t) t)
302.0ms	(+ (+ (log (sqrt z)) (- (log (sqrt z)) (fma (- 0.5 a) (log t) t))) (log (+ y x)))
197.0ms	(- (log (sqrt z)) (fma (- 0.5 a) (log t) t))

simplify2.5s

Counts

179 → 179

Iterations

Iter	Nodes
done	5001
2	1887
1	632
0	249

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- 0.5 a) (log t) t)
0.1b	(+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x)))
0.2b	(+ (log (sqrt z)) (+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x))))
0.2b	(- (log (sqrt z)) (fma (- 0.5 a) (log t) t))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
48×	`log-pow`
44×	`pow1`
36×	`add-sqr-sqrt` `prod-diff`
33×	`distribute-lft-out`
32×	`associate-+l+` `add-cube-cbrt`
22×	`log-prod`
16×	`distribute-lft-out--`
12×	`fma-def` `associate--l+`
10×	`add-log-exp`
9×	`sqrt-prod`
8×	`sqrt-pow1` `pow1/2`
7×	`associate-+r-` `sum-log`
6×	`fma-neg`
5×	`associate-+r+`
4×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`diff-log`
2×	`+-commutative` `sub-neg` `associate-+l-` `fma-udef` `difference-of-squares`
1×	`flip3--` `flip--` `associate--r+`

Counts

4 → 166

Calls

4 calls:

0.0ms	(fma (- 0.5 a) (log t) t)
44.0ms	(+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x)))
106.0ms	(+ (log (sqrt z)) (+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x))))
16.0ms	(- (log (sqrt z)) (fma (- 0.5 a) (log t) t))

series643.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma (- 0.5 a) (log t) t)
245.0ms	(+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x)))
217.0ms	(+ (log (sqrt z)) (+ (- (log (sqrt z)) (fma (- 0.5 a) (log t) t)) (log (+ y x))))
147.0ms	(- (log (sqrt z)) (fma (- 0.5 a) (log t) t))

simplify1.5s

Counts

178 → 178

Iterations

Iter	Nodes
done	5002
2	1999
1	613
0	232

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.2b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `flip3-+` `associate-+l-` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 123

Calls

3 calls:

18.0ms	(* (- a 0.5) (log t))
188.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
18.0ms	(+ (log (+ x y)) (log z))

series460.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (- a 0.5) (log t))
284.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
108.0ms	(+ (log (+ x y)) (log z))

simplify2.1s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	2460
1	675
0	246

prune675.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample12.3s

Algorithm

intervals

Results

7.6s	54825×	body	80	nan
1.2s	8028×	body	80	valid