Details

sample169.0ms

Algorithm

intervals

Results

87.0ms	1827×	body	80	nan
14.0ms	257×	body	80	valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	60	15
3	130	15
4	332	15
5	893	15
6	1659	15
7	2721	15
8	3159	15
9	3166	15
done	3166	15

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
7×	`pow1` `log-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `log-pow` `distribute-lft-out`
4×	`associate-+l+` `fma-def`
3×	`associate-+r+`
2×	`add-exp-log` `expm1-log1p-u` `associate-+l-` `log-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

2 → 40

Calls

2 calls:

0.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
6.0ms	(+ (log (+ x y)) (log z))

series162.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
72.0ms	(+ (log (+ x y)) (log z))

simplify629.0ms

Counts

46 → 46

Iterations

Useful iterations: done (627.0ms)

Iter	Nodes	Cost
0	114	567
1	263	548
2	670	490
3	2378	479
done	5000	476

prune190.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.4b	(fma 2 (log (cbrt z)) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-+r+` `log-prod`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def`
2×	`pow1/3` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `log-pow` `flip-+`

Counts

4 → 61

Calls

4 calls:

4.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series652.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
135.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
168.0ms	(cbrt z)
172.0ms	(cbrt z)

simplify749.0ms

Counts

73 → 73

Iterations

Useful iterations: done (748.0ms)

Iter	Nodes	Cost
0	99	750
1	206	707
2	567	651
3	2087	545
done	5000	537

prune360.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `add-cbrt-cube` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `associate-+l-` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

115.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
13.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series454.0ms

Counts

3 → 9

Calls

3 calls:

326.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify48.0ms

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	241	1955