Details

sample314.0ms

Algorithm

intervals

Results

148.0ms	1238×	body	80	nan
37.0ms	407×	body	80	valid
4.0ms	14×	body	320	valid
4.0ms	9×	body	640	valid
4.0ms	4×	body	1280	valid
1.0ms	6×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (54.0ms)

Iter	Nodes	Cost
0	17	18
1	30	18
2	58	18
3	127	18
4	311	17
5	1010	17
done	5000	17

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

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))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
32×	`associate--l+`
24×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-cube-cbrt`
14×	`associate-+r+`
12×	`associate-r/` `associate-r*`
11×	`pow1`
10×	`associate-+l+`
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×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 125

Calls

4 calls:

53.0ms	(* a (- (log (- 1.0 z)) b))
50.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
27.0ms	(* y (- (log z) t))
5.0ms	(log (- 1.0 z))

series578.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* a (- (log (- 1.0 z)) b))
310.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
92.0ms	(* y (- (log z) t))
66.0ms	(log (- 1.0 z))

simplify1.2s

Counts

137 → 137

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	285	1993
1	679	1887
2	2007	1769
done	5000	1740

prune663.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

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))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

47×	`associate--l+`
27×	`log-prod`
21×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
12×	`associate-+r+` `add-log-exp`
11×	`sub-neg`
10×	`associate-+l+`
8×	`pow1`
7×	`flip3--` `flip--`
6×	`add-exp-log` `associate-r/` `associate-r*` `add-cbrt-cube`
4×	`frac-add` `distribute-lft-out--`
3×	`diff-log` `associate-l`
2×	`sum-log` `log-pow` `difference-of-squares`
1×	`+-commutative` `associate-+r-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

8.0ms	(- (log z) t)
28.0ms	(- (* a (- (log 1.0) b)) (* 1.0 (* a z)))
64.0ms	(+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))
50.0ms	(* y (- (log z) t))

series506.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (log z) t)
111.0ms	(- (* a (- (log 1.0) b)) (* 1.0 (* a z)))
212.0ms	(+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))
105.0ms	(* y (- (log z) t))

simplify1.2s

Counts

124 → 124

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	216	2071
1	542	1961
2	1849	1869
done	5002	1849

prune722.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample13.7s

Algorithm

intervals

Results

7.1s	41498×	body	80	nan
1.8s	12507×	body	80	valid
266.0ms	375×	body	640	valid
158.0ms	432×	body	320	valid
80.0ms	73×	body	1280	valid
63.0ms	278×	body	160	valid