Details

sample40.0ms

Algorithm

intervals

Results

24.0ms	353×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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)))

rewrite1.0ms

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:

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

series89.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma t x (* y 5.0))
53.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (8.0ms)

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

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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))

rewrite1.0ms

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:

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

series96.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
36.0ms	(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

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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)) (* y 5.0))
0.3b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite937.0ms

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:

67.0ms	(+ (+ (+ y z) z) y)
15.0ms	(+ (+ y z) z)
225.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
627.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series164.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ (+ y z) z) y)
29.0ms	(+ (+ y z) z)
59.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
45.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (48.0ms)

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

prune254.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma x (fma 2 z y) (* x y)) (* x t))
0.0b	(+ (+ (fma x (fma 2 z y) (* x y)) (* x t)) (* y 5.0))
0.2b	(fma x (fma 2 z y) (* x y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`fma-def`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`sum-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+` `fma-udef`

Counts

3 → 45

Calls

3 calls:

2.0ms	(+ (fma x (fma 2 z y) (* x y)) (* x t))
10.0ms	(+ (+ (fma x (fma 2 z y) (* x y)) (* x t)) (* y 5.0))
0.0ms	(fma x (fma 2 z y) (* x y))

series182.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (fma x (fma 2 z y) (* x y)) (* x t))
66.0ms	(+ (+ (fma x (fma 2 z y) (* x y)) (* x t)) (* y 5.0))
62.0ms	(fma x (fma 2 z y) (* x y))

simplify107.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	222	352
1	823	327
2	3854	313
3	5001	310

prune175.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes154.0ms

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

sample1.0s

Algorithm

intervals

Results

663.0ms	10604×	body	80	valid
25.0ms	95×	body	1280	valid
25.0ms	111×	body	640	valid
10.0ms	55×	body	320	valid
4.0ms	36×	body	160	valid