Details

sample448.0ms

Algorithm

intervals

Results

314.0ms	1832×	body	80	nan
39.0ms	257×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
7	2003
6	1851
5	984
4	411
3	155
2	61
1	27
0	15

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
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))

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--`
5×	`associate-l` `associate-+l-`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 176

Calls

4 calls:

69.0ms	(- (+ (log (+ x y)) (log z)) t)
217.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
34.0ms	(* (- a 0.5) (log t))
18.0ms	(+ (log (+ x y)) (log z))

series729.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(- (+ (log (+ x y)) (log z)) t)
306.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
75.0ms	(* (- a 0.5) (log t))
90.0ms	(+ (log (+ x y)) (log z))

simplify1.0s

Counts

188 → 188

Iterations

Iter	Nodes
done	2002
2	2002
1	747
0	275

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ y x)) t)
0.1b	(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
0.3b	(fma (- a 0.5) (log t) (log z))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`prod-diff`
21×	`add-cube-cbrt`
18×	`associate-+l+`
13×	`pow1`
10×	`log-pow`
8×	`log-prod` `associate--l+` `add-log-exp`
6×	`fma-def` `distribute-lft-out--`
5×	`distribute-lft-out`
4×	`fma-neg`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`associate--l-` `log-div` `sum-log` `sub-neg` `flip3-+` `diff-log` `flip-+` `fma-udef` `difference-of-squares`
1×	`+-commutative` `associate-+r+` `flip3--` `associate-+l-` `flip--`

Counts

3 → 95

Calls

3 calls:

9.0ms	(- (log (+ y x)) t)
53.0ms	(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
0.0ms	(fma (- a 0.5) (log t) (log z))

series529.0ms

Counts

3 → 9

Calls

3 calls:

159.0ms	(- (log (+ y x)) t)
232.0ms	(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
137.0ms	(fma (- a 0.5) (log t) (log z))

simplify1.0s

Counts

104 → 104

Iterations

Iter	Nodes
done	2014
3	2014
2	1131
1	425
0	174

prune705.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(+ (log (+ y x)) (log z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-prod` `pow1`
7×	`log-prod`
5×	`log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
10.0ms	(+ (log (+ y x)) (log z))

series957.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt t)
292.0ms	(cbrt t)
301.0ms	(cbrt t)
100.0ms	(+ (log (+ y x)) (log z))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	2009
4	2009
3	1428
2	525
1	202
0	98

prune786.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(+ (log (+ y x)) (log z))
5.1b	(pow t 1/3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-+r+` `unpow-prod-down`
2×	`log-div` `flip3-+` `pow1/3` `associate-+l-` `flip-+`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
12.0ms	(+ (log (+ y x)) (log z))
2.0ms	(pow t 1/3)

series946.0ms

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt t)
248.0ms	(cbrt t)
112.0ms	(+ (log (+ y x)) (log z))
266.0ms	(pow t 1/3)

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	2000
4	2000
3	1831
2	705
1	282
0	128

prune730.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	21

end0.0ms

sample13.2s

Algorithm

intervals

Results

9.1s	56179×	body	80	nan
1.2s	8021×	body	80	valid