Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	317×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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:

1.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

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

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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))

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 x z (fma 5.0 z (* x y)))
1.0ms	(fma 5.0 z (* x y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify102.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

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

prune66.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x z (cbrt (pow (fma 5.0 z (* x y)) 3)))
0.0b	(fma 5.0 z (* x y))
0.4b	(pow (fma 5.0 z (* x y)) 3)
33.0b	(cbrt (pow (fma 5.0 z (* x y)) 3))

rewrite7.0ms

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:

1.0ms	(fma x z (cbrt (pow (fma 5.0 z (* x y)) 3)))
1.0ms	(fma 5.0 z (* x y))
2.0ms	(pow (fma 5.0 z (* x y)) 3)
2.0ms	(cbrt (pow (fma 5.0 z (* x y)) 3))

series224.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma x z (cbrt (pow (fma 5.0 z (* x y)) 3)))
42.0ms	(fma 5.0 z (* x y))
107.0ms	(pow (fma 5.0 z (* x y)) 3)
38.0ms	(cbrt (pow (fma 5.0 z (* x y)) 3))

simplify197.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	188	370
1	731	344
2	4976	336
3	5001	336

prune176.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x z (cbrt (* 125.0 (pow z 3))))
0.1b	(* 125.0 (pow z 3))
35.4b	(cbrt (* 125.0 (pow z 3)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-r`
8×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `associate-l` `prod-exp` `log1p-expm1-u` `add-log-exp`
2×	`sqr-pow`
1×	`cbrt-prod` `cube-mult` `pow-to-exp` `pow1/3` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

3 → 54

Calls

3 calls:

1.0ms	(fma x z (cbrt (* 125.0 (pow z 3))))
6.0ms	(* 125.0 (pow z 3))
3.0ms	(cbrt (* 125.0 (pow z 3)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(fma x z (cbrt (* 125.0 (pow z 3))))
38.0ms	(* 125.0 (pow z 3))
42.0ms	(cbrt (* 125.0 (pow z 3)))

simplify165.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	167	248
1	610	217
2	3377	215
3	5002	215

prune139.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes63.0ms

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

sample451.0ms

Algorithm

intervals

Results

225.0ms	9864×	body	80	valid
10.0ms	97×	body	1280	valid
8.0ms	102×	body	640	valid
4.0ms	67×	body	320	valid
1.0ms	32×	body	160	valid