Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	317×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify14.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify58.0ms

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

prune35.0ms

Filtered

13 candidates to 11 candidates (84.6%)

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)))
0.1b	(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))

series83.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(fma x z (fma 5.0 z (* x y)))
44.0ms	(fma 5.0 z (* x y))

simplify109.0ms

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

prune74.0ms

Filtered

26 candidates to 21 candidates (80.8%)

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 x z (cbrt (pow (fma 5.0 z (* x y)) 3)))
0.1b	(fma 5.0 z (* x y))
0.3b	(pow (fma 5.0 z (* x y)) 3)
35.4b	(cbrt (pow (fma 5.0 z (* x y)) 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 x z (cbrt (pow (fma 5.0 z (* x y)) 3)))
0.0ms	(fma 5.0 z (* x y))
1.0ms	(pow (fma 5.0 z (* x y)) 3)
2.0ms	(cbrt (pow (fma 5.0 z (* x y)) 3))

series237.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma x z (cbrt (pow (fma 5.0 z (* x y)) 3)))
44.0ms	(fma 5.0 z (* x y))
113.0ms	(pow (fma 5.0 z (* x y)) 3)
40.0ms	(cbrt (pow (fma 5.0 z (* x y)) 3))

simplify204.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (32.0ms)

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

prune194.0ms

Filtered

80 candidates to 50 candidates (62.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fma 5.0 z (* x y)) (fma 5.0 z (* x y)))
0.3b	(* (cbrt (* (fma 5.0 z (* x y)) (fma 5.0 z (* x y)))) (cbrt (fma 5.0 z (* x y))))
0.5b	(cbrt (fma 5.0 z (* x y)))
24.3b	(cbrt (* (fma 5.0 z (* x y)) (fma 5.0 z (* x y))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`pow1` `cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 82

Calls

4 calls:

3.0ms	(* (fma 5.0 z (* x y)) (fma 5.0 z (* x y)))
6.0ms	(* (cbrt (* (fma 5.0 z (* x y)) (fma 5.0 z (* x y)))) (cbrt (fma 5.0 z (* x y))))
1.0ms	(cbrt (fma 5.0 z (* x y)))
2.0ms	(cbrt (* (fma 5.0 z (* x y)) (fma 5.0 z (* x y))))

series522.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (fma 5.0 z (* x y)) (fma 5.0 z (* x y)))
46.0ms	(* (cbrt (* (fma 5.0 z (* x y)) (fma 5.0 z (* x y)))) (cbrt (fma 5.0 z (* x y))))
208.0ms	(cbrt (fma 5.0 z (* x y)))
201.0ms	(cbrt (* (fma 5.0 z (* x y)) (fma 5.0 z (* x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	365	793
1	1272	714
2	5001	665

prune308.0ms

Filtered

94 candidates to 72 candidates (76.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

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

sample491.0ms

Algorithm

intervals

Results

236.0ms	9828×	body	80	valid
14.0ms	92×	body	1280	valid
9.0ms	108×	body	640	valid
5.0ms	71×	body	320	valid
2.0ms	38×	body	160	valid