Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	333×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify55.0ms

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

localize13.0ms

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)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma t x (* y 5.0))
52.0ms	(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

prune82.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

53.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
38.0ms	(fma 5.0 y (* t x))

simplify26.0ms

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

prune79.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
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)
0.0b	(+ (+ (+ y z) z) y)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

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:

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

series157.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ y z) z)
30.0ms	(+ (+ (+ y z) z) y)
44.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
60.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

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

prune252.0ms

Filtered

101 candidates to 75 candidates (74.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 0.0b

Counts

105 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

6.0ms	(+ (+ y z) z)
13.0ms	(+ (+ (+ y z) z) y)
11.0ms	(* (+ (+ (+ y z) z) y) x)
11.0ms	(+ (* (+ (+ (+ y z) z) y) x) (fma t x (* y 5.0)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ y z) z)
30.0ms	(+ (+ (+ y z) z) y)
40.0ms	(* (+ (+ (+ y z) z) y) x)
51.0ms	(+ (* (+ (+ (+ y z) z) y) x) (fma t x (* y 5.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	322	480
1	1300	419
2	5002	402

prune251.0ms

Filtered

97 candidates to 73 candidates (75.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample623.0ms

Algorithm

intervals

Results

324.0ms	10615×	body	80	valid
13.0ms	92×	body	1280	valid
10.0ms	94×	body	640	valid
5.0ms	55×	body	320	valid
2.0ms	43×	body	160	valid