Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	328×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
31.0ms	(fma t x (* y 5.0))

simplify28.0ms

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

prune84.0ms

Pruning

4 alts after pruning (4 fresh and 0 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)))
0.1b	(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))

series94.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
39.0ms	(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

prune81.0ms

Pruning

4 alts after pruning (3 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))
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite943.0ms

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)
628.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
231.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series157.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)
43.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
60.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (45.0ms)

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

prune251.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (cbrt (pow (fma 5.0 y (* t x)) 3)))
0.1b	(fma 5.0 y (* t x))
0.3b	(pow (fma 5.0 y (* t x)) 3)
38.0b	(cbrt (pow (fma 5.0 y (* t x)) 3))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma (+ y z) (+ x x) (cbrt (pow (fma 5.0 y (* t x)) 3)))
0.0ms	(fma 5.0 y (* t x))
1.0ms	(pow (fma 5.0 y (* t x)) 3)
1.0ms	(cbrt (pow (fma 5.0 y (* t x)) 3))

series242.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(fma (+ y z) (+ x x) (cbrt (pow (fma 5.0 y (* t x)) 3)))
36.0ms	(fma 5.0 y (* t x))
103.0ms	(pow (fma 5.0 y (* t x)) 3)
41.0ms	(cbrt (pow (fma 5.0 y (* t x)) 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	209	398
1	770	368
2	5002	360

prune203.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes122.0ms

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

sample651.0ms

Algorithm

intervals

Results

341.0ms	10558×	body	80	valid
15.0ms	97×	body	1280	valid
11.0ms	91×	body	640	valid
6.0ms	62×	body	320	valid
1.0ms	24×	body	160	valid