Details

sample63.0ms

Algorithm

intervals

Results

29.0ms	105×	body	1280	valid
13.0ms	80×	body	640	valid
6.0ms	248×	body	80	valid
3.0ms	35×	body	320	valid
2.0ms	27×	body	160	valid

simplify218.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	108	5
7	267	5
8	1340	5
9	5001	5

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: 57.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.2b	(- (exp x) (exp (- x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

5.0ms

(- (exp x) (exp (- x)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(- (exp x) (exp (- x)))

simplify100.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	155	354
1	394	228
2	2228	226
3	5002	203

prune54.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/60 (pow x 5) (* 2 x))
0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma 1/60 (pow x 5) (* 2 x))
1.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(fma 1/60 (pow x 5) (* 2 x))
58.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify36.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	59	148
1	180	130
2	976	130
3	5001	130

prune61.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
7.3b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`sqrt-pow1`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`exp-prod` `sqrt-prod`
5×	`pow1`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`fma-udef`

Counts

3 → 46

Calls

3 calls:

2.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))
1.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series106.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
82.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify86.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (82.0ms)

Iter	Nodes	Cost
0	102	240
1	214	214
2	632	213
3	2515	211
4	5001	209

prune105.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))))
7.3b	(fma (* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x)))) (sqrt (exp x)) (- (exp (- x))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

76×	`sqrt-pow1`
72×	`sqrt-prod`
58×	`add-sqr-sqrt`
29×	`pow1`
26×	`add-cube-cbrt` `*-un-lft-identity`
24×	`exp-prod`
18×	`pow1/2`
15×	`swap-sqr`
12×	`pow-prod-up`
9×	`associate-r` `associate-l` `unswap-sqr`
8×	`pow-prod-down` `pow-sqr`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 132

Calls

4 calls:

2.0ms	(sqrt (exp x))
4.0ms	(sqrt (exp x))
13.0ms	(* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))))
1.0ms	(fma (* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x)))) (sqrt (exp x)) (- (exp (- x))))

series119.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
12.0ms	(* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))))
83.0ms	(fma (* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x)))) (sqrt (exp x)) (- (exp (- x))))

simplify43.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	248	667
1	949	581
2	5001	562

prune215.0ms

Filtered

144 candidates to 77 candidates (53.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	144	3	147

Merged error: 0.0b

Counts

147 → 3

regimes16.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

936.0ms	3309×	body	1280	valid
431.0ms	2516×	body	640	valid
197.0ms	7991×	body	80	valid
127.0ms	1251×	body	320	valid
43.0ms	666×	body	160	valid