Details

analyze208.0ms (8.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.6%	25%	72.5%	0.1%	2.3%	0%	0%	9
38.6%	37.4%	59.7%	0.1%	2.7%	0%	0%	10
46.4%	44.5%	51.3%	0.1%	4.1%	0%	0%	11
53.7%	50.3%	43.4%	0.1%	6.1%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (43.5%)

Results

1.0s	8255×	body	256	valid
71.0ms	597×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess17.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

22×	`fma-def_binary64`
19×	`+-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 15 to 11 computations (26.7% saved)

simplify6.0ms (0.3%)

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 → 3

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))

eval1.0ms (0%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 11 computations (59.3% saved)

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`fma-def_binary64`
498×	`log-prod_binary64`
413×	`pow-prod-down_binary64`
286×	`fma-neg_binary64`
281×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	210	9
2	3132	8

Stop Event

1×	node limit

Counts

1 → 102

Calls

Call 1

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

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

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

simplify78.0ms (3%)

Algorithm

1×	egg-herbie

Rules

909×	`fma-neg_binary64`
522×	`distribute-rgt-in_binary64`
500×	`distribute-lft-in_binary64`
297×	`*-commutative_binary64`
248×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	286	2122
1	750	2100
2	2115	2060
3	7923	2046

Stop Event

1×	node limit

Counts

138 → 148

Calls

Call 1

Inputs
z
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(+.f64 (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))) z)
(+.f64 (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))) z)
(+.f64 (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))) z)
(+.f64 (*.f64 1/2 x) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
z
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
z
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) z))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x 1/2) 2) (-.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))))
(*.f64 (fma.f64 x (+.f64 1/2 y) z) 1)
(*.f64 1 (fma.f64 x (+.f64 1/2 y) z))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2) (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)) (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (/.f64 1 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (pow.f64 (*.f64 x 1/2) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2)) (/.f64 1 (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z)) (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (*.f64 x 1/2) (fma.f64 x y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x 1/2) (fma.f64 x y z)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3))) (neg.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2))) (neg.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z))))
(/.f64 (fma.f64 x (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (+.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 (/.f64 2 x) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 (/.f64 2 x) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 -2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 -2 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (fma.f64 x (-.f64 (.f64 x y) z) (.f64 2 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 2 (-.f64 (.f64 x y) z)))
(/.f64 (+.f64 (-.f64 (.f64 x y) z) (.f64 (/.f64 2 x) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 (/.f64 2 x) (-.f64 (.f64 x y) z)))
(/.f64 (fma.f64 (neg.f64 x) (-.f64 (.f64 x y) z) (.f64 -2 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 -2 (-.f64 (.f64 x y) z)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) 2 (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) x)) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2)) 2))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) 2 (.f64 (-.f64 (.f64 x y) z) x)) (.f64 (-.f64 (.f64 x y) z) 2))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 2 x) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) 1)) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2)) (/.f64 2 x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) (/.f64 2 x) (.f64 (-.f64 (.f64 x y) z) 1)) (.f64 (-.f64 (.f64 x y) z) (/.f64 2 x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) -2 (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (neg.f64 x))) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2)) -2))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) -2 (.f64 (-.f64 (.f64 x y) z) (neg.f64 x))) (.f64 (-.f64 (.f64 x y) z) -2))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (-.f64 (.f64 z z) (.f64 (*.f64 x (+.f64 1/2 y)) z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (fma.f64 x y z) (.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 z z)) (-.f64 (*.f64 x (+.f64 1/2 y)) z))
(pow.f64 (fma.f64 x (+.f64 1/2 y) z) 1)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z)) (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 1/2 y) z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 1/2 y) z))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (exp.f64 (fma.f64 x y z))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 x y z)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (fma.f64 x y z)))))
(log.f64 (.f64 (exp.f64 z) (exp.f64 (.f64 x (+.f64 1/2 y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 z)) (exp.f64 (.f64 x (+.f64 1/2 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (pow.f64 (exp.f64 x) (+.f64 1/2 y))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x y z))) (sqrt.f64 (exp.f64 x))))
(log.f64 (.f64 (exp.f64 (fma.f64 x y z)) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 x y z))) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(log.f64 (.f64 (exp.f64 (.f64 x (+.f64 1/2 y))) (+.f64 1 (expm1.f64 z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)) (+.f64 1 (expm1.f64 z))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 1/2 y) z)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) z)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (+.f64 1/2 y) z))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z))) 2))
(fma.f64 x y (+.f64 z (*.f64 x 1/2)))
(fma.f64 x 1/2 (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (*.f64 x 1/2) 1 (fma.f64 x y z))
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
(fma.f64 (.f64 x y) 1 (+.f64 z (.f64 x 1/2)))
(fma.f64 z 1 (*.f64 x (+.f64 1/2 y)))
(fma.f64 (fma.f64 x y z) 1 (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (fma.f64 x y z))
(fma.f64 1 (.f64 x y) (+.f64 z (.f64 x 1/2)))
(fma.f64 1 z (*.f64 x (+.f64 1/2 y)))
(fma.f64 1 (fma.f64 x y z) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x (+.f64 1/2 y)) z)
(fma.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (+.f64 z (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 x y z))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (+.f64 z (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (+.f64 z (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z z)) (.f64 x (+.f64 1/2 y)))
(fma.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z) (.f64 x (+.f64 1/2 y)))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (fma.f64 x y z))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (cbrt.f64 (.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (+.f64 z (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 x y z))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (+.f64 z (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 (neg.f64 x) -1/2 (fma.f64 x y z))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2))) (.f64 x 1/2))
(fma.f64 1/2 x (fma.f64 x y z))
(fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x y) z)) (.f64 x 1/2))
(fma.f64 (*.f64 x (+.f64 1/2 y)) 1 z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (+.f64 1/2 y))) z)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y))) z)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 z (.f64 x 1/2)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 z (.f64 x 1/2)))

Outputs
z
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 (+.f64 1/2 y) x)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))) z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))) z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))) z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (*.f64 1/2 x) z)
(fma.f64 1/2 x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
z
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
z
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) z))) 1)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(-.f64 (/.f64 (pow.f64 (.f64 x 1/2) 2) (-.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))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (.f64 1/2 x) (fma.f64 y x z)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (*.f64 1/2 x) (fma.f64 y x z)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (.f64 x x) -1/4)) (fma.f64 x -1/2 (fma.f64 y x z)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x -1/2 (fma.f64 y x z)))
(*.f64 (fma.f64 x (+.f64 1/2 y) z) 1)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 1 (fma.f64 x (+.f64 1/2 y) z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2) (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)) (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (/.f64 1 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (pow.f64 (*.f64 x 1/2) 2))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (/.f64 1 (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (.f64 1/2 x)) (pow.f64 (*.f64 1/2 x) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (.f64 x -1/2)) (.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (fma.f64 x -1/2 (fma.f64 y x z)) (.f64 (.f64 x x) 1/4)))
(.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2)) (/.f64 1 (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (.f64 1/2 x) (fma.f64 y x z)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (*.f64 1/2 x) (fma.f64 y x z)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (.f64 x x) -1/4)) (fma.f64 x -1/2 (fma.f64 y x z)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x -1/2 (fma.f64 y x z)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (/.f64 1 (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (.f64 1/2 x)) (pow.f64 (*.f64 1/2 x) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (.f64 x -1/2)) (.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (fma.f64 x -1/2 (fma.f64 y x z)) (.f64 (.f64 x x) 1/4)))
(/.f64 1 (/.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z)) (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (.f64 1/2 x) (fma.f64 y x z)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (*.f64 1/2 x) (fma.f64 y x z)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (.f64 x x) -1/4)) (fma.f64 x -1/2 (fma.f64 y x z)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x -1/2 (fma.f64 y x z)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2)))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (/.f64 1 (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (.f64 1/2 x)) (pow.f64 (*.f64 1/2 x) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (.f64 x -1/2)) (.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (fma.f64 x -1/2 (fma.f64 y x z)) (.f64 (.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (*.f64 x 1/2) (fma.f64 x y z)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (/.f64 1 (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (.f64 1/2 x)) (pow.f64 (*.f64 1/2 x) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (.f64 x -1/2)) (.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (fma.f64 x -1/2 (fma.f64 y x z)) (.f64 (.f64 x x) 1/4)))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x 1/2) (fma.f64 x y z)))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (.f64 1/2 x) (fma.f64 y x z)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (*.f64 1/2 x) (fma.f64 y x z)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (.f64 x x) -1/4)) (fma.f64 x -1/2 (fma.f64 y x z)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x -1/2 (fma.f64 y x z)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3))) (neg.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (/.f64 1 (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (.f64 1/2 x)) (pow.f64 (*.f64 1/2 x) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (.f64 x -1/2)) (.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (fma.f64 x -1/2 (fma.f64 y x z)) (.f64 (.f64 x x) 1/4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2))) (neg.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z))))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (.f64 1/2 x) (fma.f64 y x z)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (*.f64 1/2 x) (fma.f64 y x z)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (.f64 x x) -1/4)) (fma.f64 x -1/2 (fma.f64 y x z)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x -1/2 (fma.f64 y x z)))
(/.f64 (fma.f64 x (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (fma.f64 x (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (.f64 y x) 2)) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 (/.f64 2 x) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 (/.f64 2 x) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 2 x) (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (.f64 y x) 2))) (.f64 (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (.f64 y x) 2)) (/.f64 2 x)))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 -2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 -2 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (.f64 y x) 2)) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)) (.f64 (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (*.f64 y x) 2)) -2))
(/.f64 (fma.f64 (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (.f64 y x) 2)) (neg.f64 x) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)) (.f64 (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (*.f64 y x) 2)) -2))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2 (.f64 (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (.f64 y x) 2)) (neg.f64 x))) (.f64 (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (*.f64 y x) 2)) -2))
(/.f64 (fma.f64 x (-.f64 (.f64 x y) z) (.f64 2 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 2 (-.f64 (.f64 x y) z)))
(/.f64 (fma.f64 x (-.f64 (.f64 y x) z) (.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)))) (.f64 2 (-.f64 (.f64 y x) z)))
(/.f64 (fma.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (.f64 x (-.f64 (.f64 y x) z))) (.f64 2 (-.f64 (.f64 y x) z)))
(/.f64 (+.f64 (-.f64 (.f64 x y) z) (.f64 (/.f64 2 x) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 (/.f64 2 x) (-.f64 (.f64 x y) z)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 2 x) (-.f64 (.f64 y x) z)) (.f64 (/.f64 2 x) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 (/.f64 2 x) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (-.f64 (.f64 y x) z)) (.f64 (/.f64 2 x) (-.f64 (*.f64 y x) z)))
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(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (+.f64 z (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (neg.f64 x) -1/2 (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2))) (.f64 x 1/2))
(fma.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (.f64 y x) 2))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (.f64 y x) 2))))
(fma.f64 1/2 x (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x y) z)) (.f64 x 1/2))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 y x) z)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (-.f64 (.f64 y x) z)))
(fma.f64 (*.f64 x (+.f64 1/2 y)) 1 z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (+.f64 1/2 y))) z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y))) z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 1/2 y) x z)

eval40.0ms (1.5%)

Compiler: Compiled 2640 to 1293 computations (51% saved)

prune26.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	142	6	148
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	6	149

Error

Counts

149 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 (+.f64 1/2 y) x z)
▶	14.8b	(+.f64 (*.f64 1/2 x) z)
▶	0.0b	(+.f64 z (*.f64 (+.f64 1/2 y) x))
▶	28.5b	(*.f64 (+.f64 1/2 y) x)
▶	48.2b	(*.f64 y x)
	34.2b	z

Compiler

Compiled 86 to 61 computations (29.1% saved)

localize6.0ms (0.2%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite39.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`pow1_binary64`
633×	`add-log-exp_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1652	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 x) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y x) (.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (+.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 1/2 y) x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))))))

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

609×	`log-prod_binary64`
480×	`fma-def_binary64`
437×	`*-commutative_binary64`
339×	`associate-l_binary64`
298×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	270
1	154	266
2	465	266
3	2769	266
4	5585	266

Stop Event

1×	node limit

Counts

33 → 30

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/2 x))
(+.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(-.f64 (+.f64 1 (*.f64 (+.f64 1/2 y) x)) 1)
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (-.f64 1/2 y))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(pow.f64 (*.f64 (+.f64 1/2 y) x) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 y x) (.f64 1/2 x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 x 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 (+.f64 1/2 y) x)) 1)
(*.f64 x (+.f64 1/2 y))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 x (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y -1/2))) (+.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (-.f64 y 1/2) 1/4)))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (-.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 1/2 y) x))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 x (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y -1/2))) (+.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (-.f64 y 1/2) 1/4)))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 1/2 y) x))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
(pow.f64 (*.f64 (+.f64 1/2 y) x) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2)
(*.f64 x (+.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))
(*.f64 x (+.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 x 3)))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))
(*.f64 x (+.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x)))
(*.f64 x (+.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 y) x)))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))
(*.f64 x (+.f64 1/2 y))

localize5.0ms (0.2%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series5.0ms (0.2%)

Counts

1 → 18

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 z (*.f64 (+.f64 1/2 y) x))
1.0ms	z	@	0	(+.f64 z (*.f64 (+.f64 1/2 y) x))
0.0ms	x	@	inf	(+.f64 z (*.f64 (+.f64 1/2 y) x))
0.0ms	z	@	-inf	(+.f64 z (*.f64 (+.f64 1/2 y) x))
0.0ms	y	@	-inf	(+.f64 z (*.f64 (+.f64 1/2 y) x))

rewrite57.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`prod-diff_binary64`
574×	`unpow-prod-down_binary64`
417×	`log-prod_binary64`
278×	`fma-def_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	179	8
2	2484	8

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

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

simplify55.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

410×	`div-sub_binary64`
384×	`cancel-sign-sub-inv_binary64`
335×	`fma-neg_binary64`
277×	`distribute-rgt-in_binary64`
261×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1172
1	448	1093
2	1201	1052
3	4822	918

Stop Event

1×	node limit

Counts

84 → 82

Calls

Call 1

Inputs
(*.f64 (+.f64 1/2 y) x)
z
z
(+.f64 (*.f64 1/2 x) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
z
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1/2 y) x z))) 1)
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 (+.f64 1/2 y) x))) (/.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2) (-.f64 z (.f64 (+.f64 1/2 y) x))))
(*.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(*.f64 1 (fma.f64 (+.f64 1/2 y) x z))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 2) (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z)) (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z)))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (*.f64 z z))))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (pow.f64 (/.f64 1 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (*.f64 z z))) 1))
(.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (/.f64 1 (-.f64 z (.f64 (+.f64 1/2 y) x))))
(.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (pow.f64 (/.f64 1 (-.f64 z (.f64 (+.f64 1/2 y) x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 (+.f64 1/2 y) x z))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 2) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 2) (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))) 2) 3) (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))) 3))
(/.f64 1 (/.f64 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)) (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3))))
(/.f64 1 (/.f64 (-.f64 z (.f64 (+.f64 1/2 y) x)) (-.f64 (.f64 z z) (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2) (-.f64 (.f64 z z) (.f64 z (*.f64 (+.f64 1/2 y) x)))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (-.f64 z (*.f64 (+.f64 1/2 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3))) (neg.f64 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2))) (neg.f64 (-.f64 z (*.f64 (+.f64 1/2 y) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2) (.f64 z z)) (-.f64 (*.f64 (+.f64 1/2 y) x) z))
(pow.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)) (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3))) -1)
(pow.f64 (/.f64 (-.f64 z (.f64 (+.f64 1/2 y) x)) (-.f64 (.f64 z z) (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1/2 y) x z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1/2 y) x z))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (pow.f64 (exp.f64 (+.f64 1/2 y)) x)))
(log.f64 (.f64 (exp.f64 z) (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 z)) (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 y) x))) (exp.f64 z)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x) (+.f64 1 (expm1.f64 z))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 y) x))) (+.f64 1 (expm1.f64 z))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1/2 y) x z)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1/2 y) x z)))
(exp.f64 (log.f64 (fma.f64 (+.f64 1/2 y) x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1/2 y) x z)) 1))
(fma.f64 z 1 (*.f64 (+.f64 1/2 y) x))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (*.f64 (+.f64 1/2 y) x) 1 z)
(fma.f64 1 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 1 (*.f64 (+.f64 1/2 y) x) z)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 y)) x) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (+.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (+.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 1/2 y)) z)
(fma.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) 2) z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) 2) (cbrt.f64 (.f64 (+.f64 1/2 y) x)) z)
(fma.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 (sqrt.f64 (+.f64 1/2 y)) x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (+.f64 1/2 y) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 1/2 y)) z)
(fma.f64 (sqrt.f64 (.f64 (+.f64 1/2 y) x)) (sqrt.f64 (.f64 (+.f64 1/2 y) x)) z)
(fma.f64 (*.f64 (+.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) z)
(fma.f64 (*.f64 (+.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)) z)
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)) z)

Outputs
(*.f64 (+.f64 1/2 y) x)
z
z
(+.f64 (*.f64 1/2 x) z)
(fma.f64 1/2 x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
z
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1/2 y) x z))) 1)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 (+.f64 1/2 y) x))) (/.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2) (-.f64 z (.f64 (+.f64 1/2 y) x))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (-.f64 z (*.f64 (+.f64 1/2 y) x)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (fma.f64 x (-.f64 -1/2 y) z))
(/.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(*.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 1 (fma.f64 (+.f64 1/2 y) x z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 2))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 2) (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z)) (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 z (fma.f64 x (-.f64 -1/2 y) z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (pow.f64 (/.f64 1 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (*.f64 z z))) 1))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 z (fma.f64 x (-.f64 -1/2 y) z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)))
(.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (/.f64 1 (-.f64 z (.f64 (+.f64 1/2 y) x))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (-.f64 z (*.f64 (+.f64 1/2 y) x)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (fma.f64 x (-.f64 -1/2 y) z))
(/.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (pow.f64 (/.f64 1 (-.f64 z (.f64 (+.f64 1/2 y) x))) 1))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (-.f64 z (*.f64 (+.f64 1/2 y) x)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (fma.f64 x (-.f64 -1/2 y) z))
(/.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(*.f64 (pow.f64 1 1/3) (fma.f64 (+.f64 1/2 y) x z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 3)) 1/3))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 2) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 2) (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 7))) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 2) (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z)) (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 5)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))) 2) 3) (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z))) 3))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(/.f64 1 (/.f64 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)) (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3))))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 z (fma.f64 x (-.f64 -1/2 y) z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)))
(/.f64 1 (/.f64 (-.f64 z (.f64 (+.f64 1/2 y) x)) (-.f64 (.f64 z z) (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (-.f64 z (*.f64 (+.f64 1/2 y) x)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (fma.f64 x (-.f64 -1/2 y) z))
(/.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 z (fma.f64 x (-.f64 -1/2 y) z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2) (-.f64 (.f64 z z) (.f64 z (*.f64 (+.f64 1/2 y) x)))))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 z (fma.f64 x (-.f64 -1/2 y) z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (-.f64 z (*.f64 (+.f64 1/2 y) x)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (fma.f64 x (-.f64 -1/2 y) z))
(/.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3))) (neg.f64 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z))))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 z (fma.f64 x (-.f64 -1/2 y) z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2))) (neg.f64 (-.f64 z (*.f64 (+.f64 1/2 y) x))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (-.f64 z (*.f64 (+.f64 1/2 y) x)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (fma.f64 x (-.f64 -1/2 y) z))
(/.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2) (.f64 z z)) (-.f64 (*.f64 (+.f64 1/2 y) x) z))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (-.f64 z (*.f64 (+.f64 1/2 y) x)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (fma.f64 x (-.f64 -1/2 y) z))
(/.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(pow.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 2) 1/2)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 3) 1/3)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 3)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1/2 y) x z)) 2)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(pow.f64 (/.f64 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)) (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3))) -1)
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 (.f64 (+.f64 1/2 y) x) (-.f64 (.f64 (+.f64 1/2 y) x) z) (.f64 z z)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (+.f64 1/2 y) x) 3)) (fma.f64 z (fma.f64 x (-.f64 -1/2 y) z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)))
(pow.f64 (/.f64 (-.f64 z (.f64 (+.f64 1/2 y) x)) (-.f64 (.f64 z z) (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))) -1)
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (-.f64 z (*.f64 (+.f64 1/2 y) x)))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (fma.f64 x (-.f64 -1/2 y) z))
(/.f64 (fma.f64 (+.f64 1/2 y) x z) 1)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 2))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(log.f64 (exp.f64 (fma.f64 (+.f64 1/2 y) x z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1/2 y) x z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (pow.f64 (exp.f64 (+.f64 1/2 y)) x)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(log.f64 (.f64 (exp.f64 z) (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 y) x)))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(log.f64 (.f64 (+.f64 1 (expm1.f64 z)) (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 y) x)))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 y) x))) (exp.f64 z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x) (+.f64 1 (expm1.f64 z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 y) x))) (+.f64 1 (expm1.f64 z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1/2 y) x z) 3))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1/2 y) x z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1/2 y) x z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(exp.f64 (log.f64 (fma.f64 (+.f64 1/2 y) x z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1/2 y) x z)) 1))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 z 1 (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (*.f64 (+.f64 1/2 y) x) 1 z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 1 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 1 (*.f64 (+.f64 1/2 y) x) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 y)) x) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 1/2 y)) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) 2) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) 2) (cbrt.f64 (.f64 (+.f64 1/2 y) x)) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 (sqrt.f64 (+.f64 1/2 y)) x) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 1/2 y)) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (sqrt.f64 (.f64 (+.f64 1/2 y) x)) (sqrt.f64 (.f64 (+.f64 1/2 y) x)) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (*.f64 (+.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (*.f64 (+.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)) z)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 (+.f64 1/2 y) x z)

eval39.0ms (1.5%)

Compiler: Compiled 1815 to 1164 computations (35.9% saved)

prune24.0ms (0.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	140	8	148

Error

Counts

148 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 (+.f64 1/2 y) x z)
✓	14.8b	(+.f64 (*.f64 1/2 x) z)
✓	0.0b	(+.f64 z (*.f64 (+.f64 1/2 y) x))
▶	20.1b	(+.f64 z (*.f64 y x))
✓	28.5b	(*.f64 (+.f64 1/2 y) x)
✓	48.2b	(*.f64 y x)
▶	43.2b	(*.f64 1/2 x)
	34.2b	z

Compiler

Compiled 59 to 42 computations (28.8% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize11.0ms (0.4%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 (+.f64 1/2 y) x z)
✓	14.8b	(+.f64 (*.f64 1/2 x) z)
✓	0.0b	(+.f64 z (*.f64 (+.f64 1/2 y) x))
✓	20.1b	(+.f64 z (*.f64 y x))
✓	28.5b	(*.f64 (+.f64 1/2 y) x)
✓	48.2b	(*.f64 y x)
✓	43.2b	(*.f64 1/2 x)
	34.2b	z

Compiler

Compiled 59 to 42 computations (28.8% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 (+.f64 1/2 y) x z)
✓	14.8b	(+.f64 (*.f64 1/2 x) z)
✓	0.0b	(+.f64 z (*.f64 (+.f64 1/2 y) x))
✓	20.1b	(+.f64 z (*.f64 y x))
✓	28.5b	(*.f64 (+.f64 1/2 y) x)
✓	48.2b	(*.f64 y x)
✓	43.2b	(*.f64 1/2 x)
	34.2b	z

Compiler

Compiled 59 to 42 computations (28.8% saved)

regimes36.0ms (1.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	x
8.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
6.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
6.0ms	z
5.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
0b	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 90 to 53 computations (41.1% saved)

regimes32.0ms (1.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	z
5.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
5.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
5.0ms	x
5.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
0.0b	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 84 to 50 computations (40.5% saved)

regimes52.0ms (2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
16.0ms	z
15.0ms	y

Results

Error	Segments	Branch
10.1b	3	`x`
0.9b	3	`y`
8.5b	3	`z`

Compiler

Compiled 37 to 22 computations (40.5% saved)

bsearch30.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	1.3332658268329486e-30	1.199267615558452e-28
18.0ms	-1.866479315807394e+19	-0.04829541300680052

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes56.0ms (2.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	y
16.0ms	x
11.0ms	z

Results

Error	Segments	Branch
10.3b	3	`x`
13.3b	5	`y`
9.9b	3	`z`

Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch24.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	2.211742659985459e-84	9.700276491606225e-83
12.0ms	-7.20445166965127e-46	-1.524352058789096e-47

Results

20.0ms

224×

body

256

valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

regimes48.0ms (1.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	y
10.0ms	z
10.0ms	x

Results

Error	Segments	Branch
14.9b	3	`x`
20.9b	7	`y`
12.5b	3	`z`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch33.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.1901972366194934e+61	4.115465558783188e+74
15.0ms	-5.167939508527007e+133	-1.1609145510184981e+125

Results

29.0ms

304×

body

256

valid

Compiler

Compiled 284 to 222 computations (21.8% saved)

regimes53.0ms (2%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	y
15.0ms	z
15.0ms	x

Results

Error	Segments	Branch
22.6b	4	`x`
21.7b	7	`y`
22.7b	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch85.0ms (3.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	1.5696953576874286e+66	1.6663957566288188e+75
12.0ms	1.3332658268329486e-30	1.199267615558452e-28
10.0ms	1.4306917495842716e-122	5.888510676392158e-122
10.0ms	3.078152789676814e-253	1.9633698383067013e-252
19.0ms	-1.866479315807394e+19	-0.04829541300680052
16.0ms	-2.3525231256339963e+162	-3.669717330159984e+158

Results

71.0ms	752×	body	256	valid
5.0ms	38×	body	256	infinite

Compiler

Compiled 582 to 466 computations (19.9% saved)

regimes55.0ms (2.1%)

Accuracy

Total -38.2b remaining (-158.5%)

Threshold costs -38.2b (-158.5%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 1/2 x)

Outputs
z
(*.f64 1/2 x)
z

Calls

3 calls:

32.0ms	x
14.0ms	y
8.0ms	z

Results

Error	Segments	Branch
25.0b	3	`x`
27.7b	5	`y`
24.1b	3	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch23.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	2.211742659985459e-84	9.700276491606225e-83
12.0ms	-7.20445166965127e-46	-1.524352058789096e-47

Results

20.0ms

224×

body

256

valid

Compiler

Compiled 186 to 153 computations (17.7% saved)

simplify23.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	179
1	61	179

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(if (<=.f64 y -1/2) (+.f64 z (.f64 y x)) (if (<=.f64 y 5129171395662043/44601490397061246283071436545296723011960832) (+.f64 (.f64 1/2 x) z) (+.f64 z (*.f64 y x))))
(if (<=.f64 z -1156995391866473/3213876088517980551083924184682325205044405987565585670602752) (+.f64 z (.f64 y x)) (if (<=.f64 z 3964391938669209/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (.f64 (+.f64 1/2 y) x) (+.f64 z (*.f64 y x))))
(if (<=.f64 z -130000000000000001505813407783474159400314077667346731390375611149223625391849756813014574739286823613454099840664993750056960) z (if (<=.f64 z 215000000000000006016161691616980187384381578384569822819295669780480) (*.f64 (+.f64 1/2 y) x) z))
(if (<=.f64 y -379999999999999984530740778808970761157168330346971892446616772406195330117698365569505327165924631669260921252033845668357650522556572504709152692809014181888) (.f64 y x) (if (<=.f64 y -3530822107858469/72057594037927936) z (if (<=.f64 y 134137283296165/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (.f64 1/2 x) (if (<=.f64 y 4837838548911559/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) z (if (<=.f64 y 6279889847906223/2854495385411919762116571938898990272765493248) (.f64 1/2 x) (if (<=.f64 y 5999999999999999668940847856230981577776732882724539923739699841073152) z (.f64 y x)))))))
(if (<=.f64 z -2828210957895823/12855504354071922204335696738729300820177623950262342682411008) z (if (<=.f64 z 3964391938669209/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (*.f64 1/2 x) z))
z

Outputs
(fma.f64 (+.f64 1/2 y) x z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(if (<=.f64 y -1/2) (+.f64 z (.f64 y x)) (if (<=.f64 y 5129171395662043/44601490397061246283071436545296723011960832) (+.f64 (.f64 1/2 x) z) (+.f64 z (*.f64 y x))))
(if (<=.f64 y -1/2) (+.f64 z (.f64 y x)) (if (<=.f64 y 5129171395662043/44601490397061246283071436545296723011960832) (+.f64 z (.f64 1/2 x)) (+.f64 z (*.f64 y x))))
(if (<=.f64 z -1156995391866473/3213876088517980551083924184682325205044405987565585670602752) (+.f64 z (.f64 y x)) (if (<=.f64 z 3964391938669209/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (.f64 (+.f64 1/2 y) x) (+.f64 z (*.f64 y x))))
(if (<=.f64 z -130000000000000001505813407783474159400314077667346731390375611149223625391849756813014574739286823613454099840664993750056960) z (if (<=.f64 z 215000000000000006016161691616980187384381578384569822819295669780480) (*.f64 (+.f64 1/2 y) x) z))
(if (<=.f64 y -379999999999999984530740778808970761157168330346971892446616772406195330117698365569505327165924631669260921252033845668357650522556572504709152692809014181888) (.f64 y x) (if (<=.f64 y -3530822107858469/72057594037927936) z (if (<=.f64 y 134137283296165/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (.f64 1/2 x) (if (<=.f64 y 4837838548911559/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) z (if (<=.f64 y 6279889847906223/2854495385411919762116571938898990272765493248) (.f64 1/2 x) (if (<=.f64 y 5999999999999999668940847856230981577776732882724539923739699841073152) z (.f64 y x)))))))
(if (<=.f64 z -2828210957895823/12855504354071922204335696738729300820177623950262342682411008) z (if (<=.f64 z 3964391938669209/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (*.f64 1/2 x) z))
z

Compiler

Compiled 151 to 93 computations (38.4% saved)

soundness77.0ms (3%)

Algorithm

2×	egg-herbie

Rules

909×	`fma-neg_binary64`
522×	`distribute-rgt-in_binary64`
500×	`distribute-lft-in_binary64`
297×	`*-commutative_binary64`
248×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	11
2	25	11
3	29	11
0	286	2122
1	750	2100
2	2115	2060
3	7923	2046

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 85 to 58 computations (31.8% saved)

end71.0ms (2.8%)

Compiler: Compiled 130 to 69 computations (46.9% saved)

Details

analyze208.0ms (8.1%)

sample1.1s (43.5%)

preprocess17.0ms (0.7%)

simplify6.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.4%)

series4.0ms (0.2%)

rewrite56.0ms (2.2%)

simplify78.0ms (3%)

eval40.0ms (1.5%)

prune26.0ms (1%)

localize6.0ms (0.2%)

localize3.0ms (0.1%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite39.0ms (1.5%)

simplify42.0ms (1.6%)

localize5.0ms (0.2%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite57.0ms (2.2%)

simplify55.0ms (2.1%)

eval39.0ms (1.5%)

prune24.0ms (0.9%)

localize3.0ms (0.1%)

localize11.0ms (0.4%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes36.0ms (1.4%)

regimes32.0ms (1.3%)

regimes52.0ms (2%)

bsearch30.0ms (1.2%)

regimes56.0ms (2.2%)

bsearch24.0ms (0.9%)

regimes48.0ms (1.9%)

bsearch33.0ms (1.3%)

regimes53.0ms (2%)

bsearch85.0ms (3.3%)

regimes55.0ms (2.1%)

bsearch23.0ms (0.9%)

simplify23.0ms (0.9%)

soundness77.0ms (3%)

end71.0ms (2.8%)

Profiling