Details

sample60.0ms

Algorithm

intervals

Results

36.0ms	82×	body	1280	valid
9.0ms	45×	body	640	valid
3.0ms	32×	body	320	valid
2.0ms	75×	body	80	valid
1.0ms	99×	body	80	nan
1.0ms	22×	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: 42.2b

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×	`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))

simplify45.0ms

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

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (log (+ 1.0 x)))
0.2b	(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
5.0b	(log (+ 1.0 x))
5.0b	(log (+ 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
29×	`pow1`
28×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`sqrt-pow1` `pow1/2` `log-pow`
8×	`add-exp-log` `log-prod`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

4.0ms	(sqrt (log (+ 1.0 x)))
8.0ms	(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
3.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))

series221.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt (log (+ 1.0 x)))
45.0ms	(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
45.0ms	(log (+ 1.0 x))
40.0ms	(log (+ 1.0 x))

simplify46.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	347	628
1	1405	567
2	5002	530

prune191.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (log (+ 1.0 x))) (sqrt (+ (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))))
5.0b	(log (+ 1.0 x))
5.0b	(log (sqrt (+ 1.0 x)))
5.0b	(log (sqrt (+ 1.0 x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-prod`
30×	`pow1` `log-pow`
29×	`-un-lft-identity` `associate-r*`
25×	`add-sqr-sqrt`
18×	`log-prod`
17×	`add-cube-cbrt`
11×	`distribute-lft-out`
10×	`distribute-rgt-out` `sqrt-pow1` `pow1/2`
9×	`add-exp-log`
7×	`associate-l`
6×	`log-div` `sqrt-div` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`rem-log-exp` `pow-prod-down`
2×	`distribute-lft1-in` `associate-*r/` `distribute-rgt1-in`
1×	`count-2` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

35.0ms	(* (sqrt (log (+ 1.0 x))) (sqrt (+ (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))))
2.0ms	(log (+ 1.0 x))
3.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(log (sqrt (+ 1.0 x)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

508.0ms	(* (sqrt (log (+ 1.0 x))) (sqrt (+ (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))))
40.0ms	(log (+ 1.0 x))
82.0ms	(log (sqrt (+ 1.0 x)))
83.0ms	(log (sqrt (+ 1.0 x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	914	1491
1	3690	1430
2	5001	1424

prune356.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

986.0ms	2297×	body	1280	valid
341.0ms	1668×	body	640	valid
81.0ms	814×	body	320	valid
56.0ms	2778×	body	80	valid
33.0ms	2642×	body	80	nan
26.0ms	443×	body	160	valid