Details

analyze181.0ms (13.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
81.1%	18.7%	0.1%	9
81.1%	18.7%	0.1%	10
81.1%	15.6%	3.3%	11
84.3%	10.9%	4.8%	12
84.3%	10.9%	4.8%	13
84.3%	8.6%	7.2%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample876.0ms (66.6%)

Results

811.0ms	8256×	body	128	valid
52.0ms	521×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

preprocess49.0ms (3.7%)

Algorithm

2×	egg-herbie

Rules

774×	`fma-def_binary64`
513×	`fma-neg_binary64`
141×	`associate-/l*_binary64`
135×	`cancel-sign-sub-inv_binary64`
96×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	37	52
2	63	52
3	100	52
4	182	44
5	313	44
6	670	44
7	1281	44
8	2151	44
9	2823	44
10	2916	44
11	2922	44
12	2922	44
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

Inputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8))
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8))

Outputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 y (/.f64 2 x)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8))
(-.f64 (*.f64 x (/.f64 y 2)) (/.f64 z 8))
(-.f64 (*.f64 y (/.f64 x 2)) (/.f64 z 8))
(fma.f64 x (/.f64 y 2) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 y (/.f64 x 2)))
(fma.f64 z -1/8 (*.f64 y (/.f64 x 2)))
(fma.f64 z -1/8 (.f64 y (.f64 1/2 x)))
(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8))
(-.f64 (/.f64 y (/.f64 2 x)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8))
(-.f64 (*.f64 x (/.f64 y 2)) (/.f64 z 8))
(-.f64 (*.f64 y (/.f64 x 2)) (/.f64 z 8))
(fma.f64 x (/.f64 y 2) (*.f64 -1/8 z))
(fma.f64 -1/8 z (*.f64 y (/.f64 x 2)))
(fma.f64 z -1/8 (*.f64 y (/.f64 x 2)))
(fma.f64 z -1/8 (.f64 y (.f64 1/2 x)))
(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8))
(-.f64 (/.f64 z (/.f64 2 y)) (/.f64 x 8))
(-.f64 (*.f64 (/.f64 y 2) z) (/.f64 x 8))
(-.f64 (*.f64 z (/.f64 y 2)) (/.f64 x 8))
(fma.f64 y (/.f64 z 2) (/.f64 x -8))
(fma.f64 y (/.f64 z 2) (*.f64 x -1/8))
(fma.f64 x -1/8 (*.f64 y (/.f64 z 2)))
(fma.f64 x -1/8 (.f64 y (.f64 1/2 z)))
(fma.f64 x -1/8 (.f64 y (.f64 z 1/2)))
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8))
(-.f64 (/.f64 x (/.f64 2 z)) (/.f64 y 8))
(-.f64 (*.f64 (/.f64 x 2) z) (/.f64 y 8))
(fma.f64 (/.f64 x 2) z (/.f64 (neg.f64 y) 8))
(fma.f64 z (/.f64 x 2) (/.f64 (neg.f64 y) 8))
(fma.f64 x (/.f64 z 2) (*.f64 -1/8 y))
(fma.f64 x (/.f64 z 2) (*.f64 y -1/8))
(fma.f64 x (.f64 1/2 z) (.f64 y -1/8))
(fma.f64 x (.f64 z 1/2) (.f64 y -1/8))

Symmetry

(sort x y)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify22.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

209×	`fma-def_binary64`
157×	`fma-neg_binary64`
57×	`cancel-sign-sub-inv_binary64`
42×	`distribute-rgt-neg-in_binary64`
36×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	15	13
2	26	13
3	39	13
4	69	11
5	122	11
6	237	11
7	428	11
8	680	11
9	967	11
10	1082	11
11	1112	11
12	1115	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

Outputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8))
(-.f64 (*.f64 y (/.f64 x 2)) (/.f64 z 8))
(-.f64 (*.f64 x (/.f64 y 2)) (/.f64 z 8))
(fma.f64 x (/.f64 y 2) (*.f64 -1/8 z))
(fma.f64 -1/8 z (/.f64 y (/.f64 2 x)))
(fma.f64 z -1/8 (/.f64 y (/.f64 2 x)))
(fma.f64 z -1/8 (.f64 1/2 (.f64 x y)))
(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))

series6.0ms (0.5%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))
1.0ms	z	@	0	(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))
1.0ms	y	@	0	(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))
1.0ms	z	@	inf	(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))
1.0ms	x	@	0	(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))

rewrite35.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`pow1_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
86×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	182	11
2	2053	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 x 1/2)) (.f64 z -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z -1/8) (.f64 y (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z -1/8) 1) (.f64 y (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))) 2) (cbrt.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))) (sqrt.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 z -1/8) 3) (pow.f64 (.f64 y (.f64 x 1/2)) 3)) (+.f64 (.f64 (.f64 z -1/8) (.f64 z -1/8)) (-.f64 (pow.f64 (.f64 y (.f64 x 1/2)) 2) (.f64 (.f64 z -1/8) (.f64 y (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 z -1/8) (.f64 z -1/8)) (pow.f64 (.f64 y (.f64 x 1/2)) 2)) (-.f64 (.f64 z -1/8) (.f64 y (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 1/2)) (*.f64 z -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z -1/8) (*.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z -1/8) 1) (*.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))) 2) (cbrt.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))) (sqrt.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z -1/8) 3) (pow.f64 (*.f64 y (*.f64 x 1/2)) 3)) (+.f64 (*.f64 (*.f64 z -1/8) (*.f64 z -1/8)) (-.f64 (pow.f64 (*.f64 y (*.f64 x 1/2)) 2) (*.f64 (*.f64 z -1/8) (*.f64 y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z -1/8) (*.f64 z -1/8)) (pow.f64 (*.f64 y (*.f64 x 1/2)) 2)) (-.f64 (*.f64 z -1/8) (*.f64 y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z -1/8 (*.f64 y (*.f64 x 1/2)))) 1))))))

simplify31.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

269×	`fma-def_binary64`
143×	`fma-neg_binary64`
49×	`distribute-rgt-neg-in_binary64`
46×	`cancel-sign-sub-inv_binary64`
27×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	402
1	23	348
2	44	348
3	64	348
4	104	348
5	180	348
6	303	348
7	487	348
8	643	348
9	819	348
10	885	348
11	889	348

Stop Event

1×

saturated

Counts

59 → 29

Calls

Call 1

Inputs
(.f64 1/2 (.f64 y x))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(*.f64 -1/8 z)
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(*.f64 -1/8 z)
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(*.f64 -1/8 z)
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(.f64 1/2 (.f64 y x))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(.f64 1/2 (.f64 y x))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(*.f64 -1/8 z)
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(.f64 1/2 (.f64 y x))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(.f64 1/2 (.f64 y x))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))

Outputs
(.f64 1/2 (.f64 y x))
(.f64 (.f64 1/2 y) x)
(.f64 x (.f64 1/2 y))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(*.f64 -1/8 z)
(*.f64 z -1/8)
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(*.f64 -1/8 z)
(*.f64 z -1/8)
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(*.f64 -1/8 z)
(*.f64 z -1/8)
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(.f64 1/2 (.f64 y x))
(.f64 (.f64 1/2 y) x)
(.f64 x (.f64 1/2 y))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(.f64 1/2 (.f64 y x))
(.f64 (.f64 1/2 y) x)
(.f64 x (.f64 1/2 y))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(*.f64 -1/8 z)
(*.f64 z -1/8)
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(.f64 1/2 (.f64 y x))
(.f64 (.f64 1/2 y) x)
(.f64 x (.f64 1/2 y))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(.f64 1/2 (.f64 y x))
(.f64 (.f64 1/2 y) x)
(.f64 x (.f64 1/2 y))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))
(-.f64 (.f64 1/2 (.f64 y x)) (*.f64 1/8 z))
(+.f64 (.f64 (.f64 1/2 y) x) (*.f64 z -1/8))
(fma.f64 (.f64 1/2 y) x (.f64 z -1/8))
(fma.f64 1/2 (.f64 y x) (.f64 z -1/8))

prune15.0ms (1.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	1	30

Error

0.0b

Counts

30 → 1

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))

Compiler

Compiled 363 to 257 computations (29.2% saved)

regimes52.0ms (4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

6 → 1

Compiler

Compiled 100 to 72 computations (28% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))

Outputs
(fma.f64 z -1/8 (.f64 y (.f64 x 1/2)))

end37.0ms (2.8%)

Stop Event

1×

done

Remove

(sort x y)

Compiler

Compiled 55 to 40 computations (27.3% saved)

Iter	Nodes	Cost
0	12	402
1	23	348
2	44	348
3	64	348
4	104	348
5	180	348
6	303	348
7	487	348
8	643	348
9	819	348
10	885	348
11	889	348

Iter	Nodes	Cost
0	12	402
1	23	348
2	44	348
3	64	348
4	104	348
5	180	348
6	303	348
7	487	348
8	643	348
9	819	348
10	885	348
11	889	348

Details

analyze181.0ms (13.8%)

sample876.0ms (66.6%)

preprocess49.0ms (3.7%)

simplify22.0ms (1.7%)

prune3.0ms (0.2%)

localize5.0ms (0.4%)

series6.0ms (0.5%)

rewrite35.0ms (2.7%)

simplify31.0ms (2.4%)

prune15.0ms (1.2%)

regimes52.0ms (4%)

simplify2.0ms (0.2%)

end37.0ms (2.8%)

Profiling

Iter	Nodes	Cost
0	12	402
1	23	348
2	44	348
3	64	348
4	104	348
5	180	348
6	303	348
7	487	348
8	643	348
9	819	348
10	885	348
11	889	348