Details

sample64.0ms

Algorithm

intervals

Results

40.0ms

444×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	6
1	62	4
2	121	4
3	158	4
4	164	4
5	164	4

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma i c (fma b a (fma x y (* z t))))
0.0b	(fma b a (fma x y (* z t)))

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 i c (fma b a (fma x y (* z t))))
0.0ms	(fma b a (fma x y (* z t)))

series279.0ms

Counts

2 → 6

Calls

2 calls:

219.0ms	(fma i c (fma b a (fma x y (* z t))))
60.0ms	(fma b a (fma x y (* z t)))

simplify83.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	51	122
1	107	106
2	490	106
3	3707	106
4	5001	106

prune119.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma t z (fma a b (* x y)))
0.0b	(fma a b (* x y))
0.0b	(fma i c (fma t z (fma a b (* x y))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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

3 → 30

Calls

3 calls:

0.0ms	(fma t z (fma a b (* x y)))
0.0ms	(fma a b (* x y))
0.0ms	(fma i c (fma t z (fma a b (* x y))))

series330.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(fma t z (fma a b (* x y)))
40.0ms	(fma a b (* x y))
232.0ms	(fma i c (fma t z (fma a b (* x y))))

simplify32.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	59	163
1	165	142
2	843	142
3	5002	142

prune136.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma t z (fma a b (* x y)))) (cbrt (fma t z (fma a b (* x y)))))
0.5b	(cbrt (fma t z (fma a b (* x y))))
0.5b	(cbrt (fma t z (fma a b (* x y))))
0.5b	(cbrt (fma t z (fma a b (* x y))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma t z (fma a b (* x y)))) (cbrt (fma t z (fma a b (* x y)))))
2.0ms	(cbrt (fma t z (fma a b (* x y))))
0.0ms	(cbrt (fma t z (fma a b (* x y))))
1.0ms	(cbrt (fma t z (fma a b (* x y))))

series537.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (cbrt (fma t z (fma a b (* x y)))) (cbrt (fma t z (fma a b (* x y)))))
116.0ms	(cbrt (fma t z (fma a b (* x y))))
118.0ms	(cbrt (fma t z (fma a b (* x y))))
120.0ms	(cbrt (fma t z (fma a b (* x y))))

simplify83.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	239	811
1	805	745
2	3252	663
3	5001	643

prune337.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a b (* x y))
0.2b	(* (sqrt (fma a b (* x y))) (sqrt (fma a b (* x y))))
1.0b	(sqrt (fma a b (* x y)))
1.0b	(sqrt (fma a b (* x y)))

rewrite11.0ms

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 a b (* x y))
6.0ms	(* (sqrt (fma a b (* x y))) (sqrt (fma a b (* x y))))
1.0ms	(sqrt (fma a b (* x y)))
1.0ms	(sqrt (fma a b (* x y)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma a b (* x y))
38.0ms	(* (sqrt (fma a b (* x y))) (sqrt (fma a b (* x y))))
74.0ms	(sqrt (fma a b (* x y)))
75.0ms	(sqrt (fma a b (* x y)))

simplify144.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	155	462
1	600	406
2	3481	388
3	5001	377

prune280.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes226.0ms

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	13	4
1	13	4

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

13753×

body

valid