Details

sample361.0ms

Algorithm

intervals

Results

190.0ms	1353×	body	80	nan
58.0ms	413×	body	80	valid
6.0ms	14×	body	320	valid
5.0ms	7×	body	640	valid
2.0ms	5×	body	160	valid
1.0ms	1×	body	1280	valid

simplify787.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	1044
4	347
3	135
2	62
1	31
0	17

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.3b	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
6.4b	(log (- 1.0 z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`prod-diff`
9×	`pow1`
8×	`log-prod`
6×	`log-pow`
4×	`fma-neg` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `add-cbrt-cube` `associate--l+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`log-div` `flip3--` `flip--` `difference-of-squares`
1×	`sub-neg` `diff-log` `rem-log-exp` `fma-udef`

Counts

3 → 67

Calls

3 calls:

12.0ms	(- (log z) t)
0.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
7.0ms	(log (- 1.0 z))

series354.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (log z) t)
210.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
71.0ms	(log (- 1.0 z))

simplify528.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	2001
2	816
1	350
0	162

prune418.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)
0.3b	(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

rewrite414.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
11×	`pow1`
7×	`associate-l` `distribute-lft-out--`
6×	`log-pow`
5×	`add-cbrt-cube` `add-exp-log`
4×	`fma-neg` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `associate-r` `associate--l+` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--` `difference-of-squares`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

9.0ms	(- (log z) t)
403.0ms	(* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)
0.0ms	(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

series437.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (log z) t)
80.0ms	(* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)
293.0ms	(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

simplify627.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	2001
2	868
1	346
0	157

prune551.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.2b	(* (- (log z) t) y)
0.3b	(fma a (- (log 1.0) (fma z 1.0 (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) (* (- (log z) t) y))
5.2b	(log (exp (fma a (- (log 1.0) (fma z 1.0 (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) (* (- (log z) t) y))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`pow1`
12×	`prod-diff`
10×	`log-pow`
7×	`log-prod`
6×	`add-cbrt-cube` `associate-l` `add-exp-log`
5×	`add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`exp-prod` `associate-r` `associate--l+`
2×	`flip3--` `associate-*l/` `fma-udef` `flip--` `difference-of-squares`
1×	`sub-neg` `diff-log` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

14.0ms	(- (log z) t)
36.0ms	(* (- (log z) t) y)
0.0ms	(fma a (- (log 1.0) (fma z 1.0 (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) (* (- (log z) t) y))
2.0ms	(log (exp (fma a (- (log 1.0) (fma z 1.0 (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) (* (- (log z) t) y))))

series774.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (log z) t)
109.0ms	(* (- (log z) t) y)
298.0ms	(fma a (- (log 1.0) (fma z 1.0 (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) (* (- (log z) t) y))
283.0ms	(log (exp (fma a (- (log 1.0) (fma z 1.0 (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) (* (- (log z) t) y))))

simplify555.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	2002
2	831
1	366
0	175

prune678.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes328.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	21

end0.0ms

sample12.6s

Algorithm

intervals

Results

7.5s	41494×	body	80	nan
2.0s	12560×	body	80	valid
306.0ms	379×	body	640	valid
233.0ms	399×	body	320	valid
77.0ms	281×	body	160	valid
72.0ms	63×	body	1280	valid