Details

sample169.0ms

Algorithm

intervals

Results

70.0ms	1233×	body	80	nan
26.0ms	432×	body	80	valid
4.0ms	10×	body	640	valid
2.0ms	2×	body	1280	valid
1.0ms	5×	body	320	valid
1.0ms	7×	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: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(* y (- (log z) t))
6.1b	(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:

21.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
20.0ms	(* a (- (log (- 1.0 z)) b))
14.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series370.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
75.0ms	(* a (- (log (- 1.0 z)) b))
66.0ms	(* y (- (log z) t))
46.0ms	(log (- 1.0 z))

simplify114.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	959	2405
1	3912	1813
2	5001	1810

prune682.0ms

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	(* 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)))
0.0b	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
0.1b	(* y (- (log z) t))

rewrite699.0ms

Algorithm

rewrite-expression-head

Rules

208×	`add-sqr-sqrt`
188×	`*-un-lft-identity`
168×	`prod-diff`
142×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
92×	`associate--l+`
81×	`associate-r`
80×	`times-frac`
74×	`associate-+r+`
56×	`unpow-prod-down`
48×	`pow1`
38×	`log-pow`
34×	`associate-+l+`
31×	`add-exp-log` `distribute-lft-out--`
24×	`log-prod` `unpow2` `sqr-pow`
19×	`unswap-sqr`
14×	`difference-of-squares`
13×	`associate-*r/` `add-cbrt-cube`
12×	`sub-neg` `prod-exp`
9×	`div-exp` `associate-l`
6×	`pow-to-exp` `flip3--` `pow-exp` `flip--` `add-log-exp`
4×	`expm1-log1p-u` `frac-add` `cbrt-unprod` `log1p-expm1-u`
3×	`pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

4 → 397

Calls

4 calls:

466.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
164.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
29.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
15.0ms	(* y (- (log z) t))

series459.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
234.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
49.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
75.0ms	(* y (- (log z) t))

simplify91.0ms

Algorithm

egg-herbie

Counts

409 → 409

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1521	6345
1	5001	4737

prune1.4s

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

sample5.2s

Algorithm

intervals

Results

2.2s	40619×	body	80	nan
776.0ms	12564×	body	80	valid
130.0ms	367×	body	640	valid
79.0ms	371×	body	320	valid
45.0ms	63×	body	1280	valid
33.0ms	256×	body	160	valid