Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

318×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (69.0ms)

Iter	Nodes	Cost
0	20	5
1	47	5
2	146	5
3	356	5
4	750	5
5	1604	5
6	2577	5
7	5001	4

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ 4.0 z) (- x (fma 0.5 z y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`frac-times` `sub-neg` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 62

Calls

1 calls:

19.0ms

(* (/ 4.0 z) (- x (fma 0.5 z y)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* (/ 4.0 z) (- x (fma 0.5 z y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	393	670
1	1513	480
2	5001	468

prune125.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))

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 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (54.0ms)

Iter	Nodes	Cost
0	37	89
1	87	78
2	273	78
3	1509	78
4	5002	75

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 4.0 (/ x z)) (* (/ 4.0 z) (- (fma 0.5 z y))))
0.0b	(* 4.0 (/ x z))
0.2b	(* (/ 4.0 z) (- (fma 0.5 z y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`associate-r`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
16×	`associate-l`
13×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
5×	`add-log-exp`
4×	`distribute-neg-in` `prod-exp` `cbrt-unprod` `fma-udef` `unswap-sqr`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `log1p-expm1-u`
2×	`cbrt-undiv` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `*-commutative` `div-inv`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `frac-add` `sum-log` `flip-+`

Counts

3 → 97

Calls

3 calls:

5.0ms	(+ (* 4.0 (/ x z)) (* (/ 4.0 z) (- (fma 0.5 z y))))
8.0ms	(* 4.0 (/ x z))
12.0ms	(* (/ 4.0 z) (- (fma 0.5 z y)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* 4.0 (/ x z)) (* (/ 4.0 z) (- (fma 0.5 z y))))
20.0ms	(* 4.0 (/ x z))
54.0ms	(* (/ 4.0 z) (- (fma 0.5 z y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	511	579
1	2356	537
2	5002	532

prune274.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ 4.0 z))
0.1b	(sqrt (/ 4.0 z))
0.1b	(* (sqrt (/ 4.0 z)) (- x (fma 0.5 z y)))
0.2b	(* (sqrt (/ 4.0 z)) (* (sqrt (/ 4.0 z)) (- x (fma 0.5 z y))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
71×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff` `sqrt-prod`
39×	`times-frac`
32×	`associate-l`
17×	`sqrt-div`
13×	`pow1`
11×	`add-exp-log` `frac-times` `associate-*r/` `add-cbrt-cube`
6×	`sub-neg` `flip3--` `associate-r` `flip--`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 206

Calls

4 calls:

3.0ms	(sqrt (/ 4.0 z))
3.0ms	(sqrt (/ 4.0 z))
25.0ms	(* (sqrt (/ 4.0 z)) (- x (fma 0.5 z y)))
40.0ms	(* (sqrt (/ 4.0 z)) (* (sqrt (/ 4.0 z)) (- x (fma 0.5 z y))))

series475.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (/ 4.0 z))
58.0ms	(sqrt (/ 4.0 z))
189.0ms	(* (sqrt (/ 4.0 z)) (- x (fma 0.5 z y)))
164.0ms	(* (sqrt (/ 4.0 z)) (* (sqrt (/ 4.0 z)) (- x (fma 0.5 z y))))

simplify102.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	768	2360
1	3169	1751
2	5002	1730

prune503.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes59.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample466.0ms

Algorithm

intervals

Results

262.0ms

10083×

body

valid