Details

sample39.0ms

Algorithm

intervals

Results

22.0ms

364×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	4
1	35	3
2	45	3
3	47	3
4	47	3

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

series97.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma x y (* z t))
61.0ms	(fma b a (fma x y (* z t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	48	96
1	114	84
2	406	84
3	1982	84
4	5001	84

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

series99.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(fma t z (fma a b (* x y)))
40.0ms	(fma a b (* x y))

simplify85.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	96
1	123	84
2	571	84
3	3406	84
4	5001	84

prune72.0ms

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 a b (* x y))
0.2b	(* (sqrt (fma a b (* x y))) (sqrt (fma a b (* x y))))
0.5b	(sqrt (fma a b (* x y)))
0.5b	(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)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma a b (* x y))
37.0ms	(* (sqrt (fma a b (* x y))) (sqrt (fma a b (* x y))))
71.0ms	(sqrt (fma a b (* x y)))
73.0ms	(sqrt (fma a b (* x y)))

simplify136.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (129.0ms)

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

prune249.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt (fma a b (* x y)))) (sqrt (sqrt (fma a b (* x y)))))
0.5b	(sqrt (fma a b (* x y)))
0.5b	(sqrt (fma a b (* x y)))
0.5b	(sqrt (fma a b (* x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
52×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1`
19×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

12.0ms	(* (sqrt (sqrt (fma a b (* x y)))) (sqrt (sqrt (fma a b (* x y)))))
1.0ms	(sqrt (fma a b (* x y)))
1.0ms	(sqrt (fma a b (* x y)))
1.0ms	(sqrt (fma a b (* x y)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (sqrt (sqrt (fma a b (* x y)))) (sqrt (sqrt (fma a b (* x y)))))
76.0ms	(sqrt (fma a b (* x y)))
76.0ms	(sqrt (fma a b (* x y)))
71.0ms	(sqrt (fma a b (* x y)))

simplify166.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	181	738
1	695	660
2	3887	636
3	5002	636

prune291.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes168.0ms

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	10	3
1	10	3

end0.0ms

sample1.2s

Algorithm

intervals

Results

744.0ms

11963×

body

valid