Details

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	19	3
2	21	3
3	23	3
4	25	3
5	26	3
6	26	3

prune3.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	53
1	54	46
2	161	46
3	607	46
4	2687	46
5	5003	46

prune27.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.0b

Counts

14 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.0b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b	(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
1.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
6.0ms	(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series145.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
37.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
33.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
38.0ms	(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify174.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	177	525
1	655	457
2	4084	433
3	5001	433

prune166.0ms

Filtered

98 candidates to 58 candidates (59.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.1b	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.1b	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.2b	(pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
2.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
2.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
3.0ms	(pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

series566.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
119.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
125.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
196.0ms	(pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

simplify45.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	387	1048
1	1410	983
2	5001	894

prune262.0ms

Filtered

86 candidates to 65 candidates (75.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.1b	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.2b	(pow (* (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2) (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2)) 4)
0.7b	(* (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2) (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

71×	`unpow-prod-down`
69×	`add-sqr-sqrt`
60×	`cbrt-prod`
30×	`sqrt-prod`
29×	`add-exp-log`
25×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
22×	`pow-exp`
18×	`prod-exp`
15×	`swap-sqr` `sqr-pow`
13×	`pow-to-exp` `associate-r` `associate-l`
6×	`add-cbrt-cube` `unpow1/2`
5×	`pow1` `pow-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow2` `pow1/3` `sqrt-unprod` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`rem-square-sqrt` `*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 155

Calls

4 calls:

2.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
2.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
9.0ms	(pow (* (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2) (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2)) 4)
12.0ms	(* (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2) (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2))

series568.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
120.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
198.0ms	(pow (* (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2) (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2)) 4)
126.0ms	(* (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2) (pow (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 1/2))

simplify83.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	542	2356
1	2278	2063
2	5001	1995

prune627.0ms

Filtered

167 candidates to 89 candidates (53.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	167	4	171

Merged error: 0.0b

Counts

171 → 4

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3

end0.0ms

sample280.0ms

Algorithm

intervals

Results

180.0ms	8011×	body	80	valid
0.0ms	1×	body	1280	valid