Details

sample360.0ms

Algorithm

intervals

Results

187.0ms	1238×	body	80	nan
49.0ms	407×	body	80	valid
6.0ms	9×	body	640	valid
6.0ms	14×	body	320	valid
5.0ms	4×	body	1280	valid
1.0ms	6×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	17	18
1	31	17
2	62	17
3	135	17
4	335	17
5	1091	17
done	5000	17

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
6.3b	(log (- 1.0 z))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
19×	`pow1` `distribute-rgt-in` `distribute-lft-in`
18×	`log-prod`
13×	`associate--l+` `log-pow`
7×	`add-exp-log` `distribute-lft-out--`
6×	`associate-r` `add-cbrt-cube`
5×	`add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`log-div` `associate-*r/`
1×	`diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

17.0ms	(- (log z) t)
50.0ms	(* a (- (log (- 1.0 z)) b))
0.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
6.0ms	(log (- 1.0 z))

series515.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (log z) t)
121.0ms	(* a (- (log (- 1.0 z)) b))
268.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
52.0ms	(log (- 1.0 z))

simplify3.2s

Counts

139 → 139

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	278	2181
1	568	1806
2	1231	1508
3	3793	1381
done	5000	1380

prune576.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* a (- (- (log 1.0) b) (* 1.0 z)))
0.1b	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

48×	`prod-diff`
43×	`associate--l+`
41×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
25×	`distribute-rgt-in` `distribute-lft-in`
18×	`pow1`
13×	`log-pow`
9×	`log-prod`
6×	`distribute-lft-out--`
5×	`add-exp-log` `sub-neg` `add-cbrt-cube`
4×	`fma-neg` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `difference-of-squares`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 118

Calls

3 calls:

14.0ms	(- (log z) t)
203.0ms	(* a (- (- (log 1.0) b) (* 1.0 z)))
1.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

series460.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (log z) t)
111.0ms	(* a (- (- (log 1.0) b) (* 1.0 z)))
256.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

simplify2.6s

Counts

127 → 127

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	248	2334
1	461	1993
2	984	1667
3	3804	1492
done	5000	1492

prune464.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	19
1	20	19
done	20	19

end0.0ms

sample12.8s

Algorithm

intervals

Results

6.2s	41498×	body	80	nan
3.1s	12507×	body	80	valid
220.0ms	375×	body	640	valid
163.0ms	432×	body	320	valid
83.0ms	73×	body	1280	valid
67.0ms	278×	body	160	valid