Details

sample63.0ms

Algorithm

intervals

Results

33.0ms	63×	body	1280	valid
12.0ms	50×	body	640	valid
5.0ms	36×	body	320	valid
3.0ms	98×	body	80	valid
2.0ms	77×	body	80	nan
1.0ms	9×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize3.0ms

Local error

Found 1 expressions with local error:

3.9b	(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×	`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:

3.0ms

(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

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

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)))))
15.6b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
16.6b	(log (+ (pow 1.0 3) (pow x 3)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
24×	`log-prod`
19×	`pow1` `add-sqr-sqrt`
17×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
10×	`distribute-lft-out`
9×	`associate--l+`
8×	`unpow-prod-down` `log-div` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`fma-neg`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `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 → 110

Calls

4 calls:

3.0ms	(- (* x x) (* 1.0 x))
25.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
7.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
13.0ms	(log (+ (pow 1.0 3) (pow x 3)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* x x) (* 1.0 x))
151.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
73.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
261.0ms	(log (+ (pow 1.0 3) (pow x 3)))

simplify71.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	545	1732
1	2101	1340
2	5001	1334

prune316.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (/ (pow x 3) (pow 1.0 2)))
0.0b	(fma 1.0 (pow x 3) (fma 0.5 (/ (pow x 2) (pow 1.0 2)) (* 1.0 x)))
0.0b	(fma 0.3333333333333333 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 (pow x 3) (fma 0.5 (/ (pow x 2) (pow 1.0 2)) (* 1.0 x))))
12.5b	(fma (- 1.0) (fma x x (/ (pow x 3) (pow 1.0 2))) (fma 0.3333333333333333 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 (pow x 3) (fma 0.5 (/ (pow x 2) (pow 1.0 2)) (* 1.0 x)))))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

0.0ms	(fma x x (/ (pow x 3) (pow 1.0 2)))
0.0ms	(fma 1.0 (pow x 3) (fma 0.5 (/ (pow x 2) (pow 1.0 2)) (* 1.0 x)))
0.0ms	(fma 0.3333333333333333 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 (pow x 3) (fma 0.5 (/ (pow x 2) (pow 1.0 2)) (* 1.0 x))))
0.0ms	(fma (- 1.0) (fma x x (/ (pow x 3) (pow 1.0 2))) (fma 0.3333333333333333 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 (pow x 3) (fma 0.5 (/ (pow x 2) (pow 1.0 2)) (* 1.0 x)))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(fma x x (/ (pow x 3) (pow 1.0 2)))
39.0ms	(fma 1.0 (pow x 3) (fma 0.5 (/ (pow x 2) (pow 1.0 2)) (* 1.0 x)))
74.0ms	(fma 0.3333333333333333 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 (pow x 3) (fma 0.5 (/ (pow x 2) (pow 1.0 2)) (* 1.0 x))))
122.0ms	(fma (- 1.0) (fma x x (/ (pow x 3) (pow 1.0 2))) (fma 0.3333333333333333 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 (pow x 3) (fma 0.5 (/ (pow x 2) (pow 1.0 2)) (* 1.0 x)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	147	592
1	451	504
2	2284	500
3	5002	497

prune242.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.5b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	14
1	23	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	2331×	body	1280	valid
396.0ms	1600×	body	640	valid
113.0ms	843×	body	320	valid
89.0ms	2828×	body	80	valid
60.0ms	2563×	body	80	nan
31.0ms	398×	body	160	valid