Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	333×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(fma t x (* y 5.0))
51.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify26.0ms

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

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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))

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))

series89.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
37.0ms	(fma 5.0 y (* t x))

simplify27.0ms

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

prune73.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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))
0.0b	(+ (+ y z) z)

rewrite953.0ms

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:

69.0ms	(+ (+ (+ y z) z) y)
635.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
231.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
15.0ms	(+ (+ y z) z)

series156.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ (+ y z) z) y)
41.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
56.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
27.0ms	(+ (+ y z) z)

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

prune235.0ms

Pruning

6 alts after pruning (3 fresh and 3 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))
0.0b	(+ (+ (fma x (fma 2 z y) (* x y)) (* x t)) (* y 5.0))

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))
0.0ms	(fma x (fma 2 z y) (* x y))
11.0ms	(+ (+ (fma x (fma 2 z y) (* x y)) (* x t)) (* y 5.0))

series166.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (fma x (fma 2 z y) (* x y)) (* x t))
57.0ms	(fma x (fma 2 z y) (* x y))
61.0ms	(+ (+ (fma x (fma 2 z y) (* x y)) (* x t)) (* y 5.0))

simplify103.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (98.0ms)

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

prune168.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.1b 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

sample637.0ms

Algorithm

intervals

Results

335.0ms	10616×	body	80	valid
20.0ms	98×	body	1280	valid
11.0ms	94×	body	640	valid
6.0ms	63×	body	320	valid
2.0ms	39×	body	160	valid