Details

sample28.0ms

Algorithm

intervals

Results

13.0ms	337×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	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

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

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)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(fma t x (* y 5.0))
54.0ms	(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

prune74.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize13.0ms

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))

series95.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
35.0ms	(fma 5.0 y (* t x))

simplify28.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (8.0ms)

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

prune67.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
23×	`distribute-lft-out`
20×	`add-log-exp`
10×	`add-sqr-sqrt` `fma-def` `sum-log`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-+l+` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
6.0ms	(+ (+ y z) z)
9.0ms	(+ (+ (+ y z) z) y)
15.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series155.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
23.0ms	(+ (+ y z) z)
30.0ms	(+ (+ (+ y z) z) y)
42.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	402	503
1	1821	449
2	5001	430

prune222.0ms

Filtered

101 candidates to 75 candidates (74.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))
0.0b	(+ (fma 2 z y) y)
0.0b	(* x (+ (+ (fma 2 z y) y) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
4×	`fma-def` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-+l+` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

9.0ms	(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))
3.0ms	(+ (fma 2 z y) y)
8.0ms	(* x (+ (+ (fma 2 z y) y) t))

series141.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))
30.0ms	(+ (fma 2 z y) y)
48.0ms	(* x (+ (+ (fma 2 z y) y) t))

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	319	361
1	1364	337
2	5003	331

prune145.0ms

Filtered

69 candidates to 54 candidates (78.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

regimes120.0ms

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

sample719.0ms

Algorithm

intervals

Results

401.0ms	10529×	body	80	valid
17.0ms	90×	body	1280	valid
15.0ms	109×	body	640	valid
6.0ms	55×	body	320	valid
2.0ms	31×	body	160	valid