Details

sample316.0ms

Algorithm

intervals

Results

151.0ms	1238×	body	80	nan
44.0ms	407×	body	80	valid
13.0ms	9×	body	640	valid
5.0ms	4×	body	1280	valid
4.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (72.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize38.0ms

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))

rewrite175.0ms

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:

43.0ms	(* a (- (log (- 1.0 z)) b))
54.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
62.0ms	(* y (- (log z) t))
10.0ms	(log (- 1.0 z))

series605.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* a (- (log (- 1.0 z)) b))
298.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
108.0ms	(* y (- (log z) t))
59.0ms	(log (- 1.0 z))

simplify1.2s

Counts

137 → 137

Iterations

Useful iterations: done (1.1s)

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

prune762.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.0b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.2b	(* y (- (log z) t))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

8.0ms	(- (log z) t)
939.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
264.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
51.0ms	(* y (- (log z) t))

series670.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (log z) t)
137.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
313.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
132.0ms	(* y (- (log z) t))

simplify933.0ms

Counts

140 → 140

Iterations

Useful iterations: done (925.0ms)

Iter	Nodes	Cost
0	250	3040
1	599	2920
2	1865	2766
done	5002	2691

prune854.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	30
1	32	30
done	32	30

end0.0ms

sample12.1s

Algorithm

intervals

Results

6.6s	41498×	body	80	nan
2.0s	12507×	body	80	valid
259.0ms	375×	body	640	valid
231.0ms	432×	body	320	valid
83.0ms	73×	body	1280	valid
64.0ms	278×	body	160	valid