Details

sample20.0ms

Algorithm

intervals

Results

10.0ms	326×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	3
1	34	3
2	53	3
3	63	3
4	64	3
5	64	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

0.0ms

(fma x (+ y z) (* z 5.0))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma x (+ y z) (* z 5.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	59
1	74	52
2	288	52
3	1708	52
4	5001	52

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (fma 5.0 z (* x y)))
0.0b	(fma 5.0 z (* x y))

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

series75.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma x z (fma 5.0 z (* x y)))
37.0ms	(fma 5.0 z (* x y))

simplify99.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	40	100
1	122	88
2	579	88
3	3524	88
4	5001	88

prune68.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

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:

0.0ms	(fma 5.0 z (* x y))
1.0ms	(sqrt (fma 5.0 z (* x y)))
1.0ms	(sqrt (fma 5.0 z (* x y)))
8.0ms	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

series226.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma 5.0 z (* x y))
74.0ms	(sqrt (fma 5.0 z (* x y)))
71.0ms	(sqrt (fma 5.0 z (* x y)))
40.0ms	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

simplify150.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (140.0ms)

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

prune235.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fma 5.0 z (* x y)))
0.1b	(sqrt (fma 5.0 z (* x y)))
0.2b	(* (pow (sqrt (sqrt (fma 5.0 z (* x y)))) 3) (sqrt (sqrt (fma 5.0 z (* x y)))))
0.4b	(pow (sqrt (sqrt (fma 5.0 z (* x y)))) 3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`associate-r`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

1.0ms	(sqrt (fma 5.0 z (* x y)))
1.0ms	(sqrt (fma 5.0 z (* x y)))
21.0ms	(* (pow (sqrt (sqrt (fma 5.0 z (* x y)))) 3) (sqrt (sqrt (fma 5.0 z (* x y)))))
6.0ms	(pow (sqrt (sqrt (fma 5.0 z (* x y)))) 3)

series551.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (fma 5.0 z (* x y)))
79.0ms	(sqrt (fma 5.0 z (* x y)))
42.0ms	(* (pow (sqrt (sqrt (fma 5.0 z (* x y)))) 3) (sqrt (sqrt (fma 5.0 z (* x y)))))
351.0ms	(pow (sqrt (sqrt (fma 5.0 z (* x y)))) 3)

simplify78.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	387	1310
1	1637	1026
2	5002	920

prune345.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes62.0ms

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	8	3
1	8	3

end0.0ms

sample480.0ms

Algorithm

intervals

Results

232.0ms	9845×	body	80	valid
10.0ms	96×	body	1280	valid
9.0ms	115×	body	640	valid
4.0ms	72×	body	320	valid
2.0ms	35×	body	160	valid