Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	322×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	1×	body	160	valid

simplify57.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma t x (* y 5.0))
52.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify28.0ms

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

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

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))

series91.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
37.0ms	(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

prune77.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 5.0 y (* t x))
0.1b	(sqrt (fma 5.0 y (* t x)))
0.1b	(sqrt (fma 5.0 y (* t x)))
0.3b	(* (sqrt (fma 5.0 y (* t x))) (sqrt (fma 5.0 y (* t x))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma 5.0 y (* t x))
1.0ms	(sqrt (fma 5.0 y (* t x)))
2.0ms	(sqrt (fma 5.0 y (* t x)))
6.0ms	(* (sqrt (fma 5.0 y (* t x))) (sqrt (fma 5.0 y (* t x))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma 5.0 y (* t x))
71.0ms	(sqrt (fma 5.0 y (* t x)))
70.0ms	(sqrt (fma 5.0 y (* t x)))
35.0ms	(* (sqrt (fma 5.0 y (* t x))) (sqrt (fma 5.0 y (* t x))))

simplify134.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	143	456
1	536	404
2	3215	386
3	5002	375

prune236.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (fma 5.0 y (* t x)))) (sqrt (fma 5.0 y (* t x))))
0.2b	(* (* (fabs (cbrt (fma 5.0 y (* t x)))) (sqrt (fma 5.0 y (* t x)))) (sqrt (cbrt (fma 5.0 y (* t x)))))
0.6b	(cbrt (fma 5.0 y (* t x)))
0.6b	(cbrt (fma 5.0 y (* t x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`sqrt-prod`
9×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

5.0ms	(* (fabs (cbrt (fma 5.0 y (* t x)))) (sqrt (fma 5.0 y (* t x))))
7.0ms	(* (* (fabs (cbrt (fma 5.0 y (* t x)))) (sqrt (fma 5.0 y (* t x)))) (sqrt (cbrt (fma 5.0 y (* t x)))))
1.0ms	(cbrt (fma 5.0 y (* t x)))
1.0ms	(cbrt (fma 5.0 y (* t x)))

series707.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (fabs (cbrt (fma 5.0 y (* t x)))) (sqrt (fma 5.0 y (* t x))))
241.0ms	(* (* (fabs (cbrt (fma 5.0 y (* t x)))) (sqrt (fma 5.0 y (* t x)))) (sqrt (cbrt (fma 5.0 y (* t x)))))
179.0ms	(cbrt (fma 5.0 y (* t x)))
180.0ms	(cbrt (fma 5.0 y (* t x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	428	1001
1	1697	897
2	5002	874

prune354.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes145.0ms

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

sample625.0ms

Algorithm

intervals

Results

320.0ms	10559×	body	80	valid
15.0ms	108×	body	640	valid
13.0ms	97×	body	1280	valid
5.0ms	60×	body	320	valid
2.0ms	39×	body	160	valid