Details

sample49.0ms

Algorithm

intervals

Results

24.0ms	56×	body	1280	valid
11.0ms	54×	body	640	valid
3.0ms	28×	body	320	valid
2.0ms	99×	body	80	valid
1.0ms	19×	body	160	valid
1.0ms	81×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.8b

localize3.0ms

Local error

Found 1 expressions with local error:

5.0b	(log (+ 1.0 x))

rewrite3.0ms

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×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

2.0ms

(log (+ 1.0 x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(log (+ 1.0 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune44.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

26.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	531	638
1	2305	526
2	5002	525

prune228.0ms

Filtered

113 candidates to 68 candidates (60.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
5.1b	(log (sqrt (+ 1.0 x)))
5.1b	(log (sqrt (+ 1.0 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

4.0ms	(sqrt (+ 1.0 x))
4.0ms	(sqrt (+ 1.0 x))
3.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(sqrt (+ 1.0 x))
29.0ms	(sqrt (+ 1.0 x))
82.0ms	(log (sqrt (+ 1.0 x)))
82.0ms	(log (sqrt (+ 1.0 x)))

simplify65.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	176	480
1	494	436
2	1896	418
3	5001	406

prune174.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 x))
0.3b	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
15.0b	(log (+ (pow 1.0 3) (pow x 3)))
15.5b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
24×	`log-prod`
10×	`pow1` `add-sqr-sqrt` `distribute-lft-out`
9×	`associate--l+`
8×	`add-cube-cbrt` `unpow-prod-down` `log-div` `cube-prod`
6×	`add-exp-log` `log-pow` `add-log-exp`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out--`
3×	`associate--r+`
2×	`associate--l-` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-cubes` `flip--` `associate--r-`
1×	`distribute-rgt-out--` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

2.0ms	(- (* x x) (* 1.0 x))
21.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
12.0ms	(log (+ (pow 1.0 3) (pow x 3)))
7.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* x x) (* 1.0 x))
146.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
255.0ms	(log (+ (pow 1.0 3) (pow x 3)))
68.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	452	939
1	1659	889
2	5001	852

prune244.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.0b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	23
1	36	23

end0.0ms

sample1.7s

Algorithm

intervals

Results

982.0ms	2283×	body	1280	valid
347.0ms	1671×	body	640	valid
87.0ms	837×	body	320	valid
57.0ms	2792×	body	80	valid
33.0ms	2693×	body	80	nan
24.0ms	417×	body	160	valid