Details

sample232.0ms

Algorithm

intervals

Results

106.0ms	1259×	body	80	nan
42.0ms	400×	body	80	valid
5.0ms	15×	body	320	valid
5.0ms	9×	body	640	valid
4.0ms	4×	body	1280	valid
3.0ms	14×	body	160	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	10
1	62	10
2	137	10
3	344	10
4	1155	10
5	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize15.0ms

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)))
0.1b	(* y (- (log z) t))
5.2b	(log (- 1.0 z))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

96×	`prod-diff`
91×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
73×	`add-cube-cbrt`
72×	`distribute-rgt-in` `distribute-lft-in`
38×	`associate-+r+`
37×	`log-prod`
35×	`pow1`
34×	`associate-+l+`
32×	`associate--l+`
27×	`log-pow`
12×	`associate-r/` `associate-r*`
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×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 230

Calls

4 calls:

18.0ms	(* a (- (log (- 1.0 z)) b))
23.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
15.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series387.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* a (- (log (- 1.0 z)) b))
190.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
68.0ms	(* y (- (log z) t))
48.0ms	(log (- 1.0 z))

simplify113.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	959	2405
1	3910	1813
2	5001	1810

prune714.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))
0.1b	(* y (- (log z) t))

rewrite680.0ms

Algorithm

rewrite-expression-head

Rules

180×	`prod-diff`
166×	`*-un-lft-identity`
151×	`add-sqr-sqrt`
117×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
95×	`associate--l+`
74×	`associate-+r+`
51×	`pow1`
43×	`log-pow`
34×	`associate-+l+`
33×	`distribute-lft-out--`
27×	`log-prod`
15×	`difference-of-squares`
13×	`sub-neg` `associate-r`
12×	`associate-*r/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
4×	`expm1-log1p-u` `fma-neg` `frac-add` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 321

Calls

4 calls:

4.0ms	(- (log z) t)
472.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
170.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
15.0ms	(* y (- (log z) t))

series503.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (log z) t)
109.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
252.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
76.0ms	(* y (- (log z) t))

simplify139.0ms

Algorithm

egg-herbie

Counts

333 → 333

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	1036	5948
1	4185	4321
2	5001	4314

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample7.1s

Algorithm

intervals

Results

3.4s	40591×	body	80	nan
1.3s	12702×	body	80	valid
181.0ms	352×	body	640	valid
125.0ms	355×	body	320	valid
65.0ms	286×	body	160	valid
63.0ms	64×	body	1280	valid