Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	351×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	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: 0.0b

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)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma t x (* y 5.0))
57.0ms	(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

prune59.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

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))

series95.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
36.0ms	(fma 5.0 y (* t x))

simplify27.0ms

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

prune57.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

72×	`associate-+l+`
68×	`*-un-lft-identity`
37×	`distribute-lft-out`
25×	`fma-def`
22×	`+-commutative`
20×	`add-log-exp`
16×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-sqr-sqrt`
14×	`associate-r`
11×	`add-cube-cbrt`
10×	`associate-l` `sum-log`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

4 → 140

Calls

4 calls:

9.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)
16.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
32.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series162.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ (+ y z) z) y)
28.0ms	(+ (+ y z) z)
40.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
63.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	479	667
1	1957	609
2	5001	581

prune234.0ms

Filtered

152 candidates to 103 candidates (67.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	152	4	156

Merged error: 0b

Counts

156 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ y z) z)
0.0b	(+ (+ y z) z)
0.1b	(* x (sqrt (+ (+ (+ (+ y z) z) y) t)))
0.1b	(fma (* x (sqrt (+ (+ (+ (+ y z) z) y) t))) (sqrt (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

7.0ms	(+ (+ y z) z)
6.0ms	(+ (+ y z) z)
15.0ms	(* x (sqrt (+ (+ (+ (+ y z) z) y) t)))
1.0ms	(fma (* x (sqrt (+ (+ (+ (+ y z) z) y) t))) (sqrt (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series378.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ y z) z)
25.0ms	(+ (+ y z) z)
101.0ms	(* x (sqrt (+ (+ (+ (+ y z) z) y) t)))
223.0ms	(fma (* x (sqrt (+ (+ (+ (+ y z) z) y) t))) (sqrt (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	340	575
1	1297	487
2	5002	461

prune204.0ms

Filtered

96 candidates to 70 candidates (72.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	96	4	100

Merged error: 0b

Counts

100 → 4

regimes109.0ms

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

sample643.0ms

Algorithm

intervals

Results

333.0ms	10504×	body	80	valid
22.0ms	94×	body	1280	valid
13.0ms	114×	body	640	valid
4.0ms	41×	body	320	valid
2.0ms	32×	body	160	valid