Details

sample25.0ms

Algorithm

intervals

Results

12.0ms	351×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	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: 0.0b

localize13.0ms

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))

series83.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
31.0ms	(fma t x (* y 5.0))

simplify31.0ms

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

prune78.0ms

Pruning

3 alts after pruning (3 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)))
0.0b	(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))

series92.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
38.0ms	(fma 5.0 y (* t x))

simplify25.0ms

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

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

rewrite1.0s

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:

75.0ms	(+ (+ (+ y z) z) y)
689.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
250.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
16.0ms	(+ (+ y z) z)

series159.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ (+ y z) z) y)
43.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
60.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
24.0ms	(+ (+ 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

prune247.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1 (fma 2 z y)) y)
0.0b	(* x (+ (+ (* 1 (fma 2 z y)) y) t))
0.0b	(+ (* x (+ (+ (* 1 (fma 2 z y)) y) t)) (* y 5.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

3.0ms	(+ (* 1 (fma 2 z y)) y)
46.0ms	(* x (+ (+ (* 1 (fma 2 z y)) y) t))
17.0ms	(+ (* x (+ (+ (* 1 (fma 2 z y)) y) t)) (* y 5.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* 1 (fma 2 z y)) y)
49.0ms	(* x (+ (+ (* 1 (fma 2 z y)) y) t))
60.0ms	(+ (* x (+ (+ (* 1 (fma 2 z y)) y) t)) (* y 5.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	348	417
1	1623	374
2	5001	363

prune199.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes102.0ms

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

sample677.0ms

Algorithm

intervals

Results

366.0ms	10550×	body	80	valid
16.0ms	105×	body	640	valid
15.0ms	94×	body	1280	valid
5.0ms	50×	body	320	valid
2.0ms	35×	body	160	valid