Details

sample53.0ms

Algorithm

intervals

Results

27.0ms	64×	body	1280	valid
12.0ms	57×	body	640	valid
3.0ms	29×	body	320	valid
2.0ms	95×	body	80	valid
1.0ms	88×	body	80	nan
1.0ms	11×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.2b

localize6.0ms

Local error

Found 1 expressions with local error:

3.6b	(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:

2.0ms

(log (+ 1.0 x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(log (+ 1.0 x))

simplify40.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (37.0ms)

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

prune49.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

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)))))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify118.0ms

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

prune42.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
11.1b	(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
11.1b	(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
11.1b	(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
0.0ms	(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
1.0ms	(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
1.0ms	(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series948.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(* (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
233.0ms	(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
229.0ms	(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
221.0ms	(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	450	1824
1	1681	1697
2	5002	1501

prune338.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt (log (+ 1.0 x)))
2.0ms	(log (+ 1.0 x))
6.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))

series286.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (log (+ 1.0 x)))
44.0ms	(log (+ 1.0 x))
46.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))

simplify110.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	321	470
1	1028	431
2	4280	399
3	5001	396

prune193.0ms

Filtered

77 candidates to 63 candidates (81.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes123.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.2b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

971.0ms	2281×	body	1280	valid
352.0ms	1703×	body	640	valid
80.0ms	799×	body	320	valid
59.0ms	2759×	body	80	valid
33.0ms	2635×	body	80	nan
27.0ms	458×	body	160	valid