Details

sample57.0ms

Algorithm

intervals

Results

30.0ms	67×	body	1280	valid
10.0ms	50×	body	640	valid
3.0ms	32×	body	320	valid
2.0ms	93×	body	80	valid
2.0ms	105×	body	80	nan
1.0ms	14×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.6b

localize4.0ms

Local error

Found 1 expressions with local error:

4.2b	(log (+ 1.0 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

4.0ms

(log (+ 1.0 x))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(log (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune48.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

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:

0.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify123.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	47	115
1	148	97
2	551	97
3	3494	94
4	5001	94

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
4.3b	(log (sqrt (+ 1.0 x)))
4.3b	(log (sqrt (+ 1.0 x)))

rewrite31.0ms

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-+` `pow1/2` `add-cbrt-cube` `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:

11.0ms	(sqrt (+ 1.0 x))
7.0ms	(sqrt (+ 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
5.0ms	(log (sqrt (+ 1.0 x)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt (+ 1.0 x))
36.0ms	(sqrt (+ 1.0 x))
84.0ms	(log (sqrt (+ 1.0 x)))
80.0ms	(log (sqrt (+ 1.0 x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	187	508
1	531	462
2	2062	442
3	5002	428

prune213.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
4.2b	(log (+ 1.0 x))
4.3b	(log (sqrt (+ 1.0 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
10×	`add-sqr-sqrt`
8×	`sqrt-prod`
7×	`pow1` `add-cube-cbrt`
5×	`add-exp-log`
4×	`log-div` `sqrt-div` `log-pow`
3×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`rem-sqrt-square` `hypot-def`

Counts

3 → 58

Calls

3 calls:

7.0ms	(sqrt (+ 1.0 x))
4.0ms	(log (+ 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(sqrt (+ 1.0 x))
40.0ms	(log (+ 1.0 x))
84.0ms	(log (sqrt (+ 1.0 x)))

simplify87.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	261	354
1	747	320
2	3045	306
3	5002	299

prune156.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes99.0ms

Accuracy

97.8% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	15
1	27	15
2	27	15

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2313×	body	1280	valid
347.0ms	1714×	body	640	valid
81.0ms	794×	body	320	valid
60.0ms	2803×	body	80	valid
39.0ms	2756×	body	80	nan
25.0ms	376×	body	160	valid