Details

sample80.0ms

Algorithm

intervals

Results

41.0ms	75×	body	1280	valid
13.0ms	47×	body	640	valid
5.0ms	35×	body	320	valid
3.0ms	86×	body	80	valid
1.0ms	13×	body	160	valid
1.0ms	47×	body	80	nan

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.2b

localize17.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ 1.0 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

14.0ms

(log (+ 1.0 x))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(log (+ 1.0 x))

simplify4.8s

Counts

21 → 21

Iterations

Iter	Nodes
done	5002
4	2656
3	826
2	323
1	132
0	61

prune202.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

2.0ms

(fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))

simplify4.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	5016
4	1920
3	371
2	119
1	47
0	26

prune204.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1.0 (* 0.5 x)) x (log 1.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(fma (- 1.0 (* 0.5 x)) x (log 1.0))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma (- 1.0 (* 0.5 x)) x (log 1.0))

simplify3.1s

Counts

14 → 14

Iterations

Iter	Nodes
done	5003
4	1388
3	287
2	102
1	42
0	24

prune189.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
4.5b	(log (sqrt (+ 1.0 x)))
4.5b	(log (sqrt (+ 1.0 x)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`log-prod`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp` `hypot-def`

Counts

4 → 86

Calls

4 calls:

22.0ms	(sqrt (+ 1.0 x))
22.0ms	(sqrt (+ 1.0 x))
17.0ms	(log (sqrt (+ 1.0 x)))
17.0ms	(log (sqrt (+ 1.0 x)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (+ 1.0 x))
41.0ms	(sqrt (+ 1.0 x))
109.0ms	(log (sqrt (+ 1.0 x)))
166.0ms	(log (sqrt (+ 1.0 x)))

simplify2.9s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
3	1446
2	506
1	194
0	95

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes285.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.0b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	2270×	body	1280	valid
546.0ms	1642×	body	640	valid
174.0ms	830×	body	320	valid
122.0ms	2858×	body	80	valid
59.0ms	2672×	body	80	nan
36.0ms	400×	body	160	valid