Details

sample24.0ms

Algorithm

intervals

Results

15.0ms

297×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	24	3
2	28	3
3	30	3
4	30	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (fma x y z) (/ x 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `fma-udef` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

6.0ms

(+ (fma x y z) (/ x 2.0))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ (fma x y z) (/ x 2.0))

simplify33.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	95	90
1	307	79
2	1287	79
3	5001	79

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
0.6b	(cbrt (+ (fma x y z) (/ x 2.0)))
0.6b	(cbrt (+ (fma x y z) (/ x 2.0)))
0.6b	(cbrt (+ (fma x y z) (/ x 2.0)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

48.0ms	(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
5.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))
5.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))
6.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
131.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))
122.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))
120.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	397	1336
1	1384	1257
2	5001	1151

prune292.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fma x y z))
0.0b	(sqrt (fma x y z))
0.2b	(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`sqrt-prod`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`fma-udef`

Counts

3 → 40

Calls

3 calls:

1.0ms	(sqrt (fma x y z))
1.0ms	(sqrt (fma x y z))
0.0ms	(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

series322.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(sqrt (fma x y z))
65.0ms	(sqrt (fma x y z))
186.0ms	(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	168	280
1	503	235
2	2023	227
3	5002	225

prune121.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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

sample677.0ms

Algorithm

intervals

Results

483.0ms	9151×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid