Details

analyze590.0ms (33.6%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	72.5%	2.5%	9
37.4%	59.7%	2.9%	10
44.5%	51.3%	4.2%	11
50.3%	43.4%	6.3%	12
58.7%	34.6%	6.7%	13
63.5%	28.7%	7.8%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample895.0ms (51%)

Results

827.0ms	8254×	body	128	valid
55.0ms	472×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess16.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

22×	`fma-def_binary64`
17×	`+-commutative_binary64`
12×	`associate-+r+_binary64`
12×	`associate-+l+_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	40	44
2	81	44
3	97	44
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	11
2	25	11
3	29	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

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

prune2.0ms (0.1%)

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	(+.f64 (/.f64 x 2) (fma.f64 x y z))

Compiler

Compiled 42 to 26 computations (38.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 (/.f64 x 2) (fma.f64 x y z))
1.0ms	y	@	0	(+.f64 (/.f64 x 2) (fma.f64 x y z))
1.0ms	x	@	inf	(+.f64 (/.f64 x 2) (fma.f64 x y z))
1.0ms	x	@	0	(+.f64 (/.f64 x 2) (fma.f64 x y z))
0.0ms	y	@	-inf	(+.f64 (/.f64 x 2) (fma.f64 x y z))

rewrite44.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`log1p-expm1-u_binary64`
888×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`
88×	`*-un-lft-identity_binary64`
88×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	178	9
2	2376	9

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(+.f64 (/.f64 x 2) (fma.f64 x y z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 x x) 1/4) (-.f64 (.f64 x 1/2) (fma.f64 x y z))) (/.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 1/2 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (fma.f64 x y z) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (/.f64 1 (-.f64 (.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)))) (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (fma.f64 x y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (fma.f64 x y z) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x 1/2) (fma.f64 x y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x 1/2) (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (fma.f64 x y z) 3))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2))) (neg.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (fma.f64 x y z) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y z) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 x 1/2) (fma.f64 x y z))) (/.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (fma.f64 x y z) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (/.f64 1 (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x 1/2)))) (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (fma.f64 x y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x 1/2) (fma.f64 x y z)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (fma.f64 x y z) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x 1/2) (fma.f64 x y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (*.f64 x 1/2) (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (fma.f64 x y z) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2))) (neg.f64 (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y z) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (fma.f64 x y z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y z) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 1))))))

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	336
1	24	280
2	37	253
3	41	253

Stop Event

1×

saturated

Counts

72 → 45

Calls

Call 1

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

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

prune26.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Error

Counts

46 → 2

Alt Table

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

Compiler

Compiled 671 to 326 computations (51.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 x (+.f64 y 1/2) z)
0.0ms	y	@	-inf	(fma.f64 x (+.f64 y 1/2) z)
0.0ms	y	@	0	(fma.f64 x (+.f64 y 1/2) z)
0.0ms	y	@	inf	(fma.f64 x (+.f64 y 1/2) z)
0.0ms	x	@	-inf	(fma.f64 x (+.f64 y 1/2) z)

rewrite34.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`pow1_binary64`
717×	`log1p-expm1-u_binary64`
717×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`
75×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	150	8
2	1864	8

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify13.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	336
1	24	280
2	37	253
3	41	253

Stop Event

1×

saturated

Counts

59 → 32

Calls

Call 1

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

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

prune12.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	32	2	34

Error

Counts

34 → 2

Alt Table

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

Compiler

Compiled 330 to 206 computations (37.6% saved)

regimes45.0ms (2.6%)

Accuracy

Total 0.0b remaining (93%)

Threshold costs 0.0b (93%)

Counts

11 → 1

Compiler

Compiled 107 to 62 computations (42.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9

Stop Event

1×

saturated

Calls

Call 1

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

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

end38.0ms (2.2%)

Stop Event

1×

done

Compiler

Compiled 40 to 25 computations (37.5% saved)

Details

analyze590.0ms (33.6%)

sample895.0ms (51%)

preprocess16.0ms (0.9%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite44.0ms (2.5%)

simplify12.0ms (0.7%)

prune26.0ms (1.5%)

localize4.0ms (0.2%)

series3.0ms (0.2%)

rewrite34.0ms (1.9%)

simplify13.0ms (0.7%)

prune12.0ms (0.7%)

regimes45.0ms (2.6%)

simplify2.0ms (0.1%)

end38.0ms (2.2%)

Profiling