Details

sample180.0ms

Algorithm

intervals

Results

62.0ms	1125×	body	80	nan
24.0ms	397×	body	80	valid
3.0ms	14×	body	320	valid
2.0ms	5×	body	640	valid
1.0ms	4×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	18
1	31	17
2	62	17
3	135	17
4	335	17
5	1091	17
done	5000	17

prune11.0ms

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	(- (log z) t)
0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
5.2b	(log (- 1.0 z))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
19×	`pow1` `distribute-rgt-in` `distribute-lft-in`
18×	`log-prod`
13×	`associate--l+` `log-pow`
7×	`add-exp-log` `distribute-lft-out--`
6×	`associate-r` `add-cbrt-cube`
5×	`add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`log-div` `associate-*r/`
1×	`diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

10.0ms	(- (log z) t)
36.0ms	(* a (- (log (- 1.0 z)) b))
0.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
7.0ms	(log (- 1.0 z))

series382.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (log z) t)
78.0ms	(* a (- (log (- 1.0 z)) b))
196.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
42.0ms	(log (- 1.0 z))

simplify1.8s

Counts

139 → 139

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	278	2181
1	568	1806
2	1231	1508
3	3793	1381
done	5000	1380

prune382.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
0.0b	(* a (- (- (log 1.0) b) (* 1.0 z)))
0.1b	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

48×	`prod-diff`
45×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`associate--l+`
35×	`add-cube-cbrt`
25×	`distribute-rgt-in` `distribute-lft-in`
21×	`pow1`
13×	`log-pow`
9×	`log-prod`
8×	`add-cbrt-cube`
7×	`add-exp-log` `associate-l`
6×	`associate-r` `distribute-lft-out--`
5×	`sub-neg` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`flip3--` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`diff-log` `exp-sum`

Counts

4 → 139

Calls

4 calls:

9.0ms	(- (log z) t)
13.0ms	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
115.0ms	(* a (- (- (log 1.0) b) (* 1.0 z)))
0.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (log z) t)
225.0ms	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
74.0ms	(* a (- (- (log 1.0) b) (* 1.0 z)))
166.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

simplify2.4s

Counts

151 → 151

Iterations

Useful iterations: 3 (981.0ms)

Iter	Nodes	Cost
0	287	2900
1	554	2549
2	1284	2144
3	4729	1939
done	5000	1939

prune403.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series756.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt x) (cbrt x))
190.0ms	(cbrt x)
182.0ms	(cbrt x)
181.0ms	(cbrt x)

simplify3.4s

Counts

93 → 93

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune385.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	19
1	20	19
done	20	19

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.2s	40585×	body	80	nan
756.0ms	12389×	body	80	valid
125.0ms	363×	body	640	valid
87.0ms	420×	body	320	valid
53.0ms	77×	body	1280	valid
38.0ms	299×	body	160	valid