Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

393×

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

prune7.0ms

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 x y (* z t))
0.0b	(fma i c (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))
1.0ms	(fma i c (fma b a (fma x y (* z t))))

series261.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(fma x y (* z t))
220.0ms	(fma i c (fma b a (fma x y (* z t))))

simplify69.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	108
1	122	94
2	447	94
3	2806	94
4	5003	94

prune101.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* x y))
0.0b	(fma i c (fma b a (cbrt (pow (fma t z (* x y)) 3))))
0.2b	(pow (fma t z (* x y)) 3)
38.4b	(cbrt (pow (fma t 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 t z (* x y))
0.0ms	(fma i c (fma b a (cbrt (pow (fma t z (* x y)) 3))))
1.0ms	(pow (fma t z (* x y)) 3)
1.0ms	(cbrt (pow (fma t z (* x y)) 3))

series432.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma t z (* x y))
224.0ms	(fma i c (fma b a (cbrt (pow (fma t z (* x y)) 3))))
134.0ms	(pow (fma t z (* x y)) 3)
38.0ms	(cbrt (pow (fma t z (* x y)) 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	201	381
1	779	353
2	5001	347

prune247.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* x y))
0.3b	(* (sqrt (fma t z (* x y))) (sqrt (fma t z (* x y))))
0.3b	(sqrt (fma t z (* x y)))
0.3b	(sqrt (fma t z (* 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 t z (* x y))
7.0ms	(* (sqrt (fma t z (* x y))) (sqrt (fma t z (* x y))))
1.0ms	(sqrt (fma t z (* x y)))
1.0ms	(sqrt (fma t z (* x y)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma t z (* x y))
40.0ms	(* (sqrt (fma t z (* x y))) (sqrt (fma t z (* x y))))
74.0ms	(sqrt (fma t z (* x y)))
73.0ms	(sqrt (fma t z (* x y)))

simplify141.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	156	462
1	594	406
2	3437	388
3	5001	377

prune287.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes293.0ms

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

sample1.1s

Algorithm

intervals

Results

536.0ms

13885×

body

valid