Details

sample55.0ms

Algorithm

intervals

Results

28.0ms	61×	body	1280	valid
11.0ms	51×	body	640	valid
4.0ms	40×	body	320	valid
2.0ms	87×	body	80	valid
1.0ms	86×	body	80	nan
1.0ms	17×	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: 39.7b

localize4.0ms

Local error

Found 1 expressions with local error:

4.6b	(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×	`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))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (36.0ms)

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

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`diff-log` `associate-*r/` `frac-sub`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+`

Counts

1 → 16

Calls

1 calls:

22.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify125.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	181	252
1	733	234
2	4310	223
3	5001	223

prune53.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
4.6b	(log (+ 1.0 x))
4.6b	(log (+ 1.0 x))
4.6b	(log (+ 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`pow1`
15×	`add-cube-cbrt`
12×	`log-prod`
9×	`add-exp-log` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`log-div` `pow1/3`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

7.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))

series330.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
42.0ms	(log (+ 1.0 x))
48.0ms	(log (+ 1.0 x))
42.0ms	(log (+ 1.0 x))

simplify60.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	438	840
1	1662	774
2	5002	664

prune211.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cbrt (log (+ 1.0 x))) 6)
0.7b	(pow (pow (cbrt (log (+ 1.0 x))) 6) 1/3)
4.6b	(log (+ 1.0 x))
4.6b	(log (+ 1.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`unpow-prod-down`
17×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log`
8×	`cbrt-prod` `log-prod`
6×	`pow-unpow`
5×	`pow-exp`
4×	`log-div` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `sqr-pow`
2×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`unpow1/3` `pow1/3`

Counts

4 → 80

Calls

4 calls:

2.0ms	(pow (cbrt (log (+ 1.0 x))) 6)
4.0ms	(pow (pow (cbrt (log (+ 1.0 x))) 6) 1/3)
2.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))

series816.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(pow (cbrt (log (+ 1.0 x))) 6)
438.0ms	(pow (pow (cbrt (log (+ 1.0 x))) 6) 1/3)
41.0ms	(log (+ 1.0 x))
47.0ms	(log (+ 1.0 x))

simplify71.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	788	963
1	3208	884
2	5001	856

prune246.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.6b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2303×	body	1280	valid
354.0ms	1687×	body	640	valid
92.0ms	818×	body	320	valid
63.0ms	2804×	body	80	valid
35.0ms	2703×	body	80	nan
24.0ms	388×	body	160	valid