Details

sample123.0ms

Algorithm

intervals

Results

72.0ms	85×	body	10240	exit
23.0ms	272×	body	80	valid
3.0ms	6×	body	640	valid
2.0ms	2×	body	1280	valid
2.0ms	6×	body	320	valid
1.0ms	6×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
3	23	9
done	23	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.6b	(log (+ 1.0 (exp x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `fma-neg` `prod-diff` `associate--l+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 62

Calls

3 calls:

17.0ms	(+ 1.0 (exp x))
38.0ms	(- (log (+ 1.0 (exp x))) (* x y))
12.0ms	(log (+ 1.0 (exp x)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1.0 (exp x))
87.0ms	(- (log (+ 1.0 (exp x))) (* x y))
98.0ms	(log (+ 1.0 (exp x)))

simplify3.7s

Counts

71 → 71

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	105	724
1	237	686
2	579	635
3	1589	618
4	3745	590
done	5000	589

prune271.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- x) (log (+ 1.0 (exp x))))
0.0b	(+ 1.0 (exp x))
0.6b	(log (+ 1.0 (exp x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

1.0ms	(fma y (- x) (log (+ 1.0 (exp x))))
11.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))

series237.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(fma y (- x) (log (+ 1.0 (exp x))))
14.0ms	(+ 1.0 (exp x))
121.0ms	(log (+ 1.0 (exp x)))

simplify2.7s

Counts

53 → 53

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	82	466
1	166	449
2	375	407
3	903	403
4	2290	400
done	5001	399

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y (- x) (log (fma (fma x 1/2 1) x 2.0)))
5.8b	(log (fma (fma x 1/2 1) x 2.0))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-log-exp` `log-pow` `fma-udef`

Counts

2 → 24

Calls

2 calls:

0.0ms	(fma y (- x) (log (fma (fma x 1/2 1) x 2.0)))
2.0ms	(log (fma (fma x 1/2 1) x 2.0))

series189.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma y (- x) (log (fma (fma x 1/2 1) x 2.0)))
90.0ms	(log (fma (fma x 1/2 1) x 2.0))

simplify2.8s

Counts

30 → 30

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	71	447
1	151	429
2	365	378
3	927	371
4	2348	366
done	5000	363

prune165.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (- 0.5 y) (log 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x (- 0.5 y) (log 2.0))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(fma x (- 0.5 y) (log 2.0))

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	21	131
1	33	131
2	67	108
3	253	108
4	1413	108
done	5000	108

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

regimes49.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: done (3.0ms)

Iter	Nodes	Cost
0	11	12
1	15	11
done	15	9

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.0s	2437×	body	10240	exit
528.0ms	8408×	body	80	valid
128.0ms	279×	body	640	valid
82.0ms	125×	body	1280	valid
44.0ms	119×	body	160	valid
38.0ms	161×	body	320	valid