Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	338×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	31	6
1	92	6
2	309	6
3	880	5
4	1630	5
5	1872	5
6	1886	5
7	1886	5

prune6.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma t x (* y 5.0))
0.0b	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

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 t x (* y 5.0))
1.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma t x (* y 5.0))
55.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	65	129
1	164	113
2	648	111
3	5001	111

prune80.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Merged error: 0.0b

Counts

27 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
0.0b	(fma 5.0 y (* t 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 (+ y z) (+ x x) (fma 5.0 y (* t x)))
1.0ms	(fma 5.0 y (* t x))

series92.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
34.0ms	(fma 5.0 y (* t x))

simplify28.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	63	128
1	162	112
2	646	110
3	5002	110

prune65.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	26	5	31

Merged error: 0.0b

Counts

31 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
0.6b	(cbrt (fma t x (* y 5.0)))
0.6b	(cbrt (fma t x (* y 5.0)))
0.6b	(cbrt (fma t x (* y 5.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
1.0ms	(cbrt (fma t x (* y 5.0)))
1.0ms	(cbrt (fma t x (* y 5.0)))
1.0ms	(cbrt (fma t x (* y 5.0)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
127.0ms	(cbrt (fma t x (* y 5.0)))
131.0ms	(cbrt (fma t x (* y 5.0)))
128.0ms	(cbrt (fma t x (* y 5.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	232	691
1	729	636
2	2680	572
3	5001	556

prune266.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (cbrt (pow (fma 5.0 y (* t x)) 3)))
0.0b	(fma 5.0 y (* t x))
0.3b	(pow (fma 5.0 y (* t x)) 3)
33.8b	(cbrt (pow (fma 5.0 y (* t x)) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

1.0ms	(fma (+ y z) (+ x x) (cbrt (pow (fma 5.0 y (* t x)) 3)))
1.0ms	(fma 5.0 y (* t x))
2.0ms	(pow (fma 5.0 y (* t x)) 3)
2.0ms	(cbrt (pow (fma 5.0 y (* t x)) 3))

series229.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(fma (+ y z) (+ x x) (cbrt (pow (fma 5.0 y (* t x)) 3)))
33.0ms	(fma 5.0 y (* t x))
98.0ms	(pow (fma 5.0 y (* t x)) 3)
40.0ms	(cbrt (pow (fma 5.0 y (* t x)) 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	209	398
1	770	368
2	5002	360

prune174.0ms

Filtered

80 candidates to 52 candidates (65.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	80	5	85

Merged error: 0.0b

Counts

85 → 5

regimes99.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample609.0ms

Algorithm

intervals

Results

326.0ms	10512×	body	80	valid
11.0ms	78×	body	1280	valid
10.0ms	93×	body	640	valid
5.0ms	53×	body	320	valid
2.0ms	29×	body	160	valid