Details

sample410.0ms

Algorithm

intervals

Results

208.0ms	1137×	body	80	nan
69.0ms	385×	body	80	valid
30.0ms	6×	body	160	valid
11.0ms	12×	body	640	valid
7.0ms	14×	body	320	valid
4.0ms	2×	body	1280	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1059
4	334
3	127
2	58
1	30
0	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))
5.4b	(log (- 1.0 z))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
30×	`log-prod`
26×	`add-sqr-sqrt`
25×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-+r+` `add-cube-cbrt`
10×	`associate-+l+` `associate-*r/`
9×	`pow1` `add-log-exp`
7×	`sub-neg` `flip3--` `associate-l` `add-exp-log` `flip--` `distribute-lft-out--`
6×	`add-cbrt-cube` `associate-r`
5×	`difference-of-squares`
4×	`frac-add` `insert-posit16` `distribute-lft-out`
3×	`log-pow`
2×	`log-div` `diff-log`
1×	`+-commutative` `sum-log` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

283.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
16.0ms	(- (log z) t)
38.0ms	(* y (- (log z) t))
5.0ms	(log (- 1.0 z))

series592.0ms

Counts

4 → 12

Calls

4 calls:

323.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
95.0ms	(- (log z) t)
100.0ms	(* y (- (log z) t))
75.0ms	(log (- 1.0 z))

simplify2.0s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	2011
1	609
0	247

prune834.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.1s

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
75×	`associate--l+`
45×	`distribute-lft-out--`
29×	`associate-l`
28×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt` `log-prod`
25×	`associate-r`
18×	`associate-+r+`
17×	`sub-neg` `add-cube-cbrt`
16×	`pow1`
12×	`associate-*r/`
10×	`associate-+l+`
9×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log` `log-pow`
7×	`flip3--` `flip--`
4×	`frac-add` `insert-posit16` `distribute-lft-out`
3×	`difference-of-squares`
2×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

37.8s	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* z 1.0)) b)))
17.3s	(* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* z 1.0)) b))
15.0ms	(- (log z) t)
48.0ms	(* y (- (log z) t))

series639.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* z 1.0)) b)))
131.0ms	(* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* z 1.0)) b))
100.0ms	(- (log z) t)
103.0ms	(* y (- (log z) t))

simplify2.3s

Counts

169 → 169

Iterations

Iter	Nodes
done	5004
2	2099
1	681
0	267

prune983.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify5.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample15.0s

Algorithm

intervals

Results

7.7s	40585×	body	80	nan
2.8s	12490×	body	80	valid
337.0ms	362×	body	640	valid
220.0ms	409×	body	320	valid
119.0ms	269×	body	160	valid
91.0ms	65×	body	1280	valid