Details

sample72.0ms

Algorithm

intervals

Results

32.0ms	60×	body	1280	valid
16.0ms	58×	body	640	valid
4.0ms	31×	body	320	valid
3.0ms	96×	body	80	valid
2.0ms	70×	body	80	nan
1.0ms	11×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize6.0ms

Local error

Found 1 expressions with local error:

3.5b	(log (+ x 1.0))

rewrite4.0ms

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-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

4.0ms

(log (+ x 1.0))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(log (+ x 1.0))

simplify1.2s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	1711
2	430
1	131
0	61

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify622.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
3	596
2	144
1	47
0	25

prune75.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (- 1.0 (* x 0.5)) (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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify2.6s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	3591
3	476
2	117
1	41
0	23

prune69.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
3.5b	(log (sqrt (+ 1.0 x)))
3.5b	(log (sqrt (+ 1.0 x)))

rewrite24.0ms

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-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp` `hypot-def`

Counts

4 → 82

Calls

4 calls:

6.0ms	(sqrt (+ 1.0 x))
6.0ms	(sqrt (+ 1.0 x))
5.0ms	(log (sqrt (+ 1.0 x)))
5.0ms	(log (sqrt (+ 1.0 x)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ 1.0 x))
50.0ms	(sqrt (+ 1.0 x))
132.0ms	(log (sqrt (+ 1.0 x)))
99.0ms	(log (sqrt (+ 1.0 x)))

simplify1.8s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
3	3455
2	657
1	192
0	93

prune507.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes43.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch48.0ms

Steps

Iters	Range		Point
9	7.294142785006675e-07	13.800596953327334	6.379153737872092e-06

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	19

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	2332×	body	1280	valid
504.0ms	1637×	body	640	valid
146.0ms	843×	body	320	valid
124.0ms	2798×	body	80	valid
91.0ms	2683×	body	80	nan
36.0ms	390×	body	160	valid