Details

sample353.0ms

Algorithm

intervals

Results

121.0ms	1238×	body	80	nan
76.0ms	407×	body	80	valid
5.0ms	4×	body	1280	valid
5.0ms	9×	body	640	valid
5.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.2b	(* y (- (log z) t))
6.3b	(log (- 1.0 z))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

96×	`prod-diff`
91×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
73×	`add-cube-cbrt`
72×	`distribute-rgt-in` `distribute-lft-in`
38×	`associate-+r+`
37×	`log-prod`
35×	`pow1`
34×	`associate-+l+`
32×	`associate--l+`
27×	`log-pow`
12×	`associate-r/` `associate-r*`
9×	`add-exp-log` `distribute-lft-out--`
8×	`sub-neg` `add-cbrt-cube`
7×	`flip3--` `flip--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 230

Calls

4 calls:

60.0ms	(* a (- (log (- 1.0 z)) b))
62.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
55.0ms	(* y (- (log z) t))
7.0ms	(log (- 1.0 z))

series647.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* a (- (log (- 1.0 z)) b))
336.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
103.0ms	(* y (- (log z) t))
89.0ms	(log (- 1.0 z))

simplify2.1s

Counts

242 → 242

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	411	4671
1	952	3804
2	2577	3298
done	5000	3132

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(- (* a (- (log 1.0) b)) (* 1.0 (* a z)))
0.0b	(+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))
0.2b	(* y (- (log z) t))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

110×	`prod-diff`
95×	`associate--l+`
85×	`add-sqr-sqrt` `*-un-lft-identity`
79×	`add-cube-cbrt`
68×	`distribute-rgt-in` `distribute-lft-in`
37×	`associate-+r+`
36×	`pow1`
34×	`associate-+l+`
30×	`log-pow`
27×	`log-prod`
12×	`add-log-exp`
11×	`sub-neg`
7×	`flip3--` `flip--`
6×	`add-exp-log` `associate-r/` `associate-r*` `add-cbrt-cube`
5×	`fma-neg`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u` `distribute-lft-out--`
3×	`diff-log` `associate-l`
2×	`sum-log` `difference-of-squares`
1×	`+-commutative` `associate-+r-` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 236

Calls

4 calls:

10.0ms	(- (log z) t)
44.0ms	(- (* a (- (log 1.0) b)) (* 1.0 (* a z)))
78.0ms	(+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))
39.0ms	(* y (- (log z) t))

series545.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (log z) t)
121.0ms	(- (* a (- (log 1.0) b)) (* 1.0 (* a z)))
232.0ms	(+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))
106.0ms	(* y (- (log z) t))

simplify2.3s

Counts

248 → 248

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	358	4831
1	850	3921
2	2492	3248
done	5000	3130

prune1.5s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	25	22
done	25	22

end0.0ms

sample14.0s

Algorithm

intervals

Results

6.4s	41498×	body	80	nan
2.7s	12507×	body	80	valid
303.0ms	375×	body	640	valid
199.0ms	432×	body	320	valid
108.0ms	278×	body	160	valid
87.0ms	73×	body	1280	valid