Details

sample579.0ms

Algorithm

intervals

Results

174.0ms	1865×	body	80	nan
24.0ms	256×	body	80	valid

simplify4.6s

Counts

1 → 1

Iterations

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

prune15.0ms

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

rewrite306.0ms

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:

260.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
27.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series409.0ms

Counts

3 → 9

Calls

3 calls:

226.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
77.0ms	(* (- a 0.5) (log t))
106.0ms	(+ (log (+ x y)) (log z))

simplify1.8s

Counts

132 → 132

Iterations

Iter	Nodes
done	5002
2	2457
1	675
0	246

prune712.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.2b	(fma (log t) (- a 0.5) (- (log z) t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

13.0ms	(- (log z) t)
11.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series376.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(- (log z) t)
221.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
66.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify1.7s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	4025
2	1123
1	415
0	174

prune475.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt z))
0.0b	(+ (log (sqrt z)) (- (log (sqrt z)) t))
0.1b	(+ (log (+ x y)) (fma (log t) (- a 0.5) (+ (log (sqrt z)) (- (log (sqrt z)) t))))
0.2b	(fma (log t) (- a 0.5) (+ (log (sqrt z)) (- (log (sqrt z)) t)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
27×	`associate-+r+`
22×	`add-sqr-sqrt` `log-prod` `log-pow` `add-cube-cbrt`
21×	`pow1`
18×	`prod-diff`
10×	`associate-+l+` `fma-def`
9×	`sqrt-prod` `distribute-lft-out`
7×	`add-log-exp`
6×	`associate--l+`
5×	`sqrt-pow1` `pow1/2` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`sum-log` `flip3-+` `flip-+`
2×	`+-commutative` `log-div` `associate-+l-` `fma-udef`
1×	`associate-+r-` `sub-neg` `diff-log` `rem-log-exp`

Counts

4 → 118

Calls

4 calls:

5.0ms	(log (sqrt z))
32.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) t))
12.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (+ (log (sqrt z)) (- (log (sqrt z)) t))))
0.0ms	(fma (log t) (- a 0.5) (+ (log (sqrt z)) (- (log (sqrt z)) t)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(log (sqrt z))
112.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) t))
251.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (+ (log (sqrt z)) (- (log (sqrt z)) t))))
82.0ms	(fma (log t) (- a 0.5) (+ (log (sqrt z)) (- (log (sqrt z)) t)))

simplify1.2s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1574
1	569
0	235

prune822.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
43×	`log-prod`
34×	`add-cube-cbrt`
33×	`pow1`
28×	`associate-+l+`
27×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
15×	`associate-+r+`
13×	`fma-def`
12×	`associate-r`
11×	`add-log-exp`
10×	`associate-l`
8×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
7×	`distribute-lft-out--`
6×	`flip3--` `flip--`
5×	`sum-log`
4×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`flip3-+` `associate-+l-` `flip-+` `difference-of-squares`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `associate--l+`

Counts

4 → 177

Calls

4 calls:

34.0ms	(* (- a 0.5) (log (sqrt t)))
33.0ms	(* (- a 0.5) (log (sqrt t)))
299.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
13.0ms	(+ (log (+ x y)) (log z))

series617.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (- a 0.5) (log (sqrt t)))
83.0ms	(* (- a 0.5) (log (sqrt t)))
355.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
94.0ms	(+ (log (+ x y)) (log z))

simplify1.8s

Counts

189 → 189

Iterations

Iter	Nodes
done	5012
2	2550
1	707
0	262

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample9.9s

Algorithm

intervals

Results

6.9s	57518×	body	80	nan
961.0ms	8041×	body	80	valid