Details

sample464.0ms

Algorithm

intervals

Results

215.0ms	1137×	body	80	nan
75.0ms	385×	body	80	valid
11.0ms	12×	body	640	valid
9.0ms	14×	body	320	valid
3.0ms	2×	body	1280	valid
2.0ms	6×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

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))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

37.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
10.0ms	(- (log z) t)
36.0ms	(* y (- (log z) t))
5.0ms	(log (- 1.0 z))

series538.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
92.0ms	(- (log z) t)
106.0ms	(* y (- (log z) t))
77.0ms	(log (- 1.0 z))

simplify1.7s

Counts

122 → 122

Iterations

Iter	Nodes
done	5007
2	1952
1	602
0	245

prune967.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

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

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

101.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b)))
309.0ms	(* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b))
7.0ms	(- (log z) t)
34.0ms	(* y (- (log z) t))

series562.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b)))
110.0ms	(* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b))
67.0ms	(- (log z) t)
96.0ms	(* y (- (log z) t))

simplify2.0s

Counts

150 → 150

Iterations

Iter	Nodes
done	5002
2	2167
1	676
0	265

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify9.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample15.2s

Algorithm

intervals

Results

7.2s	40585×	body	80	nan
2.9s	12490×	body	80	valid
670.0ms	362×	body	640	valid
259.0ms	409×	body	320	valid
128.0ms	269×	body	160	valid
87.0ms	65×	body	1280	valid