Details

sample256.0ms

Algorithm

intervals

Results

147.0ms	1606×	body	80	nan
21.0ms	258×	body	80	valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	15	456
1	27	456
2	61	431
3	155	431
4	411	431
5	984	431
6	1851	431
7	3467	431
done	5000	431

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.5b	(+ (log (+ x y)) (log z))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `flip3-+` `associate-+l-` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

19.0ms	(* (- a 0.5) (log t))
268.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
14.0ms	(+ (log (+ x y)) (log z))

series406.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* (- a 0.5) (log t))
255.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
74.0ms	(+ (log (+ x y)) (log z))

simplify2.4s

Counts

129 → 129

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	243	47466
1	672	43305
2	2451	38914
done	5012	38663

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
0.2b	(fma (- a 0.5) (log t) (- (log z) t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

15.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
1.0ms	(fma (- a 0.5) (log t) (- (log z) t))

series274.0ms

Counts

2 → 6

Calls

2 calls:

202.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
72.0ms	(fma (- a 0.5) (log t) (- (log z) t))

simplify3.3s

Counts

42 → 42

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	111	17974
1	277	17351
2	772	17061
3	3133	16981
done	5003	16656

prune289.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 69

Calls

4 calls:

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

series840.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (log (+ x y)) (log z))
276.0ms	(cbrt t)
252.0ms	(cbrt t)
203.0ms	(cbrt t)

simplify4.5s

Counts

81 → 81

Iterations

Useful iterations: 3 (613.0ms)

Iter	Nodes	Cost
0	96	17520
1	200	16032
2	523	15519
3	1403	15015
4	4042	15015
done	5000	15015

prune741.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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` `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 → 76

Calls

4 calls:

20.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
4.0ms	(pow t 1/3)

series863.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (log (+ x y)) (log z))
244.0ms	(cbrt t)
240.0ms	(cbrt t)
296.0ms	(pow t 1/3)

simplify4.3s

Counts

88 → 88

Iterations

Useful iterations: 4 (2.6s)

Iter	Nodes	Cost
0	125	21013
1	279	17240
2	705	16844
3	1801	16230
4	3990	16189
done	5002	16189

prune878.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	431
1	16	431
done	16	431

end0.0ms

sample12.1s

Algorithm

intervals

Results

8.1s	55463×	body	80	nan
1.0s	8024×	body	80	valid