Details

sample58.0ms

Algorithm

intervals

Results

31.0ms	69×	body	1280	valid
12.0ms	56×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	92×	body	80	valid
1.0ms	88×	body	80	nan
1.0ms	13×	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: 38.6b

localize4.0ms

Local error

Found 1 expressions with local error:

3.8b	(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))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(log (+ 1.0 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (38.0ms)

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

prune47.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

0.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
28.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
54.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify59.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	560	763
1	2406	633
2	5001	632

prune308.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (log (+ 1.0 x)))
0.5b	(exp (log (log (+ 1.0 x))))
3.8b	(log (+ 1.0 x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

2.0ms	(log (log (+ 1.0 x)))
2.0ms	(exp (log (log (+ 1.0 x))))
3.0ms	(log (+ 1.0 x))

series169.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(log (log (+ 1.0 x)))
40.0ms	(exp (log (log (+ 1.0 x))))
43.0ms	(log (+ 1.0 x))

simplify102.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	285	344
1	905	314
2	3846	293
3	5001	291

prune134.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (log (+ 1.0 x)))
0.6b	(pow E (log (log (+ 1.0 x))))
3.8b	(log (+ 1.0 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-exp-log`
5×	`log-pow`
4×	`unpow-prod-up` `pow-unpow`
3×	`expm1-log1p-u` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `rem-log-exp` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `flip3-+` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

3 → 57

Calls

3 calls:

3.0ms	(log (log (+ 1.0 x)))
2.0ms	(pow E (log (log (+ 1.0 x))))
3.0ms	(log (+ 1.0 x))

series258.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(log (log (+ 1.0 x)))
125.0ms	(pow E (log (log (+ 1.0 x))))
45.0ms	(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	332	428
1	1192	372
2	5001	353

prune139.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes93.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.3b

bsearch1.0ms

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

982.0ms	2242×	body	1280	valid
346.0ms	1700×	body	640	valid
91.0ms	858×	body	320	valid
57.0ms	2769×	body	80	valid
35.0ms	2797×	body	80	nan
26.0ms	431×	body	160	valid