Details

sample65.0ms

Algorithm

intervals

Results

36.0ms	76×	body	1280	valid
14.0ms	58×	body	640	valid
3.0ms	23×	body	320	valid
2.0ms	88×	body	80	valid
2.0ms	81×	body	80	nan
1.0ms	11×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 40.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.6b	(log (+ 1.0 x))

rewrite4.0ms

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))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(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

prune39.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	4	21

Merged error: 0.1b

Counts

21 → 4

localize10.0ms

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)))

rewrite34.0ms

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:

1.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
26.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
52.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (49.0ms)

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

prune264.0ms

Filtered

128 candidates to 81 candidates (63.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	127	5	132

Merged error: 0.1b

Counts

132 → 5

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

rewrite10.0ms

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:

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

series187.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(log (log (+ 1.0 x)))
49.0ms	(exp (log (log (+ 1.0 x))))
43.0ms	(log (+ 1.0 x))

simplify99.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (93.0ms)

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

prune113.0ms

Filtered

59 candidates to 42 candidates (71.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	59	5	64

Merged error: 0.1b

Counts

64 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(expm1 (log (log (+ 1.0 x))))
0.5b	(exp (log1p (expm1 (log (log (+ 1.0 x))))))
2.0b	(log1p (expm1 (log (log (+ 1.0 x)))))
3.6b	(log (+ 1.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

3.0ms	(expm1 (log (log (+ 1.0 x))))
2.0ms	(exp (log1p (expm1 (log (log (+ 1.0 x))))))
1.0ms	(log1p (expm1 (log (log (+ 1.0 x)))))
4.0ms	(log (+ 1.0 x))

series527.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(expm1 (log (log (+ 1.0 x))))
186.0ms	(exp (log1p (expm1 (log (log (+ 1.0 x))))))
171.0ms	(log1p (expm1 (log (log (+ 1.0 x)))))
44.0ms	(log (+ 1.0 x))

simplify108.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	320	410
1	1023	371
2	4302	349
3	5001	346

prune146.0ms

Filtered

65 candidates to 53 candidates (81.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	65	5	70

Merged error: 0.1b

Counts

70 → 5

regimes96.0ms

Accuracy

99.3% (0.1b 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	18	10
1	18	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2247×	body	1280	valid
386.0ms	1688×	body	640	valid
97.0ms	822×	body	320	valid
77.0ms	2818×	body	80	valid
52.0ms	2711×	body	80	nan
30.0ms	425×	body	160	valid