Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	35×	body	1280	valid
6.0ms	219×	body	80	valid
3.0ms	28×	body	640	valid
2.0ms	10×	body	2560	valid
1.0ms	17×	body	320	valid
1.0ms	11×	body	160	valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

Iter	Nodes	Cost
0	23	6
1	75	5
2	223	4
3	515	3
4	1164	2
5	3578	2
6	5001	2

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x z) 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 y (- x z) 0)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma y (- x z) 0)

simplify73.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	29	44
1	61	39
2	251	39
3	1485	39
4	5001	39

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (* y y)) (* y z))
0.0b	(+ (* x y) (* y y))
11.7b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
12×	`prod-diff`
9×	`add-sqr-sqrt` `associate--l+`
8×	`add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `fma-neg`
7×	`diff-log`
5×	`distribute-lft-out--`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `sum-log` `add-cbrt-cube` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `fma-def` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 74

Calls

3 calls:

19.0ms	(- (+ (* x y) (* y y)) (* y z))
3.0ms	(+ (* x y) (* y y))
87.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series99.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- (+ (* x y) (* y y)) (* y z))
34.0ms	(+ (* x y) (* y y))
37.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	290	557
1	1187	476
2	5001	430

prune184.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y (- x z) 0)
0.3b	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
2.5b	(sqrt (fma y (- x z) 0))
2.5b	(sqrt (fma y (- x z) 0))

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 y (- x z) 0)
7.0ms	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
1.0ms	(sqrt (fma y (- x z) 0))
1.0ms	(sqrt (fma y (- x z) 0))

series194.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma y (- x z) 0)
40.0ms	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
56.0ms	(sqrt (fma y (- x z) 0))
62.0ms	(sqrt (fma y (- x z) 0))

simplify152.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	167	465
1	606	407
2	3358	383
3	5001	372

prune395.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (fma y (- x z) 0))) 3) (sqrt (sqrt (fma y (- x z) 0))))
0.4b	(pow (sqrt (sqrt (fma y (- x z) 0))) 3)
2.5b	(sqrt (fma y (- x z) 0))
2.5b	(sqrt (fma y (- x z) 0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`associate-r`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

20.0ms	(* (pow (sqrt (sqrt (fma y (- x z) 0))) 3) (sqrt (sqrt (fma y (- x z) 0))))
3.0ms	(pow (sqrt (sqrt (fma y (- x z) 0))) 3)
1.0ms	(sqrt (fma y (- x z) 0))
1.0ms	(sqrt (fma y (- x z) 0))

series323.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (pow (sqrt (sqrt (fma y (- x z) 0))) 3) (sqrt (sqrt (fma y (- x z) 0))))
167.0ms	(pow (sqrt (sqrt (fma y (- x z) 0))) 3)
56.0ms	(sqrt (fma y (- x z) 0))
61.0ms	(sqrt (fma y (- x z) 0))

simplify68.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	375	1357
1	1577	1018
2	5002	886

prune279.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes73.0ms

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	6	2

end0.0ms

sample778.0ms

Algorithm

intervals

Results

208.0ms	7070×	body	80	valid
137.0ms	957×	body	1280	valid
105.0ms	928×	body	640	valid
57.0ms	666×	body	320	valid
38.0ms	218×	body	2560	valid
18.0ms	334×	body	160	valid