Details

sample357.0ms

Algorithm

intervals

Results

172.0ms	1715×	body	80	nan
39.0ms	257×	body	80	valid

simplify12.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	15	16
1	36	16
2	190	15
3	1988	15
done	5000	15

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.2b	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
0.7b	(+ (log (+ x y)) (log z))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
28×	`pow1`
25×	`log-pow` `distribute-lft-out`
21×	`prod-diff`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
7×	`log-prod` `fma-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`associate-+l-` `log-div` `associate-+l+` `fma-def`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate--l-` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 92

Calls

3 calls:

102.0ms	(- (+ (log (+ x y)) (log z)) t)
1.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
26.0ms	(+ (log (+ x y)) (log z))

series526.0ms

Counts

3 → 9

Calls

3 calls:

242.0ms	(- (+ (log (+ x y)) (log z)) t)
161.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
124.0ms	(+ (log (+ x y)) (log z))

simplify2.5s

Counts

101 → 101

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	170	1568
1	1179	1268
done	5001	1142

prune459.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.2b	(fma (- a 0.5) (log t) (+ (log (+ x y)) (- (log z) t)))
0.4b	(+ (log (+ x y)) (- (log z) t))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

29.0ms	(- (log z) t)
1.0ms	(fma (- a 0.5) (log t) (+ (log (+ x y)) (- (log z) t)))
52.0ms	(+ (log (+ x y)) (- (log z) t))

series483.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (log z) t)
143.0ms	(fma (- a 0.5) (log t) (+ (log (+ x y)) (- (log z) t)))
248.0ms	(+ (log (+ x y)) (- (log z) t))

simplify3.2s

Counts

103 → 103

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	184	1355
1	1205	1120
done	5000	1000

prune554.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t)
0.2b	(fma (- a 0.5) (log t) (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t))
0.5b	(+ (log (+ x y)) (log (sqrt z)))
0.5b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))

rewrite673.0ms

Algorithm

rewrite-expression-head

Rules

140×	`*-un-lft-identity`
117×	`distribute-lft-out`
91×	`pow1`
87×	`log-pow`
39×	`prod-diff`
30×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
16×	`log-prod`
13×	`fma-neg`
12×	`associate-+r+`
11×	`fma-def` `distribute-lft-out--`
10×	`associate-+l-` `add-log-exp`
7×	`sum-log`
6×	`log-div` `sqrt-prod`
5×	`associate-+l+` `flip3-+` `flip-+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`diff-log`
2×	`+-commutative` `associate--l-`
1×	`sub-neg` `flip3--` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

4 → 166

Calls

4 calls:

530.0ms	(- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t)
0.0ms	(fma (- a 0.5) (log t) (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t))
15.0ms	(+ (log (+ x y)) (log (sqrt z)))
107.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))

series880.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t)
184.0ms	(fma (- a 0.5) (log t) (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t))
201.0ms	(+ (log (+ x y)) (log (sqrt z)))
209.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))

simplify36.8s

Counts

178 → 178

Iterations

Useful iterations: done (36.8s)

Iter	Nodes	Cost
0	230	3321
1	1740	2499
done	5001	2140

prune558.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma (log (cbrt (sqrt z))) 2 (+ (log (sqrt z)) (log (+ x y))))
0.5b	(+ (log (sqrt z)) (log (+ x y)))
0.6b	(cbrt (sqrt z))
0.6b	(cbrt (sqrt z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma (log (cbrt (sqrt z))) 2 (+ (log (sqrt z)) (log (+ x y))))
16.0ms	(+ (log (sqrt z)) (log (+ x y)))
2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))

series903.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(fma (log (cbrt (sqrt z))) 2 (+ (log (sqrt z)) (log (+ x y))))
126.0ms	(+ (log (sqrt z)) (log (+ x y)))
262.0ms	(cbrt (sqrt z))
241.0ms	(cbrt (sqrt z))

simplify1.8s

Counts

89 → 89

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	144	921
1	713	871
done	5000	766

prune613.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes473.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	27
1	23	27
done	23	27

end0.0ms

sample11.6s

Algorithm

intervals

Results

6.7s	56347×	body	80	nan
917.0ms	8033×	body	80	valid