Details

analyze822.0ms (29.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
21.1%	74.5%	4.4%	10
25.4%	69.8%	4.8%	11
30.6%	64.2%	5.2%	12
44.6%	44%	11.4%	13
48.2%	40.1%	11.7%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (39.2%)

Results

952.0ms	8256×	body	128	valid
122.0ms	1022×	body	128	invalid

preprocess33.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

738×	`fma-def_binary64`
512×	`times-frac_binary64`
268×	`div-sub_binary64`
246×	`fma-neg_binary64`
235×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	64
1	69	64
2	178	56
3	587	56
4	1723	56
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 (.f64 4 (-.f64 (-.f64 y x) (.f64 z 1/2))) z)
(/.f64 (.f64 4 (-.f64 (-.f64 z y) (.f64 x 1/2))) x)
(/.f64 (.f64 4 (-.f64 (-.f64 x z) (.f64 y 1/2))) y)

Outputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2)))))
(.f64 (/.f64 4 z) (-.f64 x (+.f64 y (.f64 z 1/2))))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(/.f64 (.f64 4 (-.f64 (-.f64 y x) (.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 (-.f64 y x) (*.f64 z 1/2))))
(.f64 (/.f64 4 z) (+.f64 (-.f64 y x) (.f64 z -1/2)))
(*.f64 (-.f64 y (fma.f64 z 1/2 x)) (/.f64 4 z))
(/.f64 (fma.f64 4 (-.f64 y x) (*.f64 z -2)) z)
(/.f64 (.f64 4 (-.f64 (-.f64 z y) (.f64 x 1/2))) x)
(/.f64 4 (/.f64 x (-.f64 z (+.f64 y (*.f64 x 1/2)))))
(.f64 (/.f64 4 x) (+.f64 (-.f64 z y) (.f64 x -1/2)))
(*.f64 (-.f64 z (fma.f64 x 1/2 y)) (/.f64 4 x))
(*.f64 4 (/.f64 (-.f64 z (fma.f64 x 1/2 y)) x))
(/.f64 (.f64 4 (-.f64 (-.f64 x z) (.f64 y 1/2))) y)
(/.f64 4 (/.f64 y (-.f64 (-.f64 x z) (*.f64 y 1/2))))
(.f64 (/.f64 4 y) (+.f64 (-.f64 x z) (.f64 y -1/2)))
(*.f64 (-.f64 x (fma.f64 y 1/2 z)) (/.f64 4 y))
(*.f64 (fma.f64 y -1/2 (-.f64 x z)) (/.f64 4 y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify22.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

795×	`fma-def_binary64`
760×	`times-frac_binary64`
398×	`associate-/l*_binary64`
350×	`div-sub_binary64`
279×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	59	14
3	184	14
4	522	14
5	1675	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Outputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2)))))
(.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(/.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 z 4))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(*.f64 4 (/.f64 (fma.f64 z -1/2 (-.f64 x y)) z))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
	0.2b	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

series9.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
1.0ms	x	@	0	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
1.0ms	x	@	-inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
1.0ms	x	@	inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
1.0ms	z	@	inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

rewrite50.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`fma-def_binary64`
250×	`fma-neg_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`
132×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	255	16
2	3694	14

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

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

Outputs

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

simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-def_binary64`
586×	`fma-neg_binary64`
349×	`times-frac_binary64`
251×	`cancel-sign-sub-inv_binary64`
212×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	606
1	79	550
2	161	545
3	278	545
4	498	356
5	857	353
6	1853	353
7	2989	353

Stop Event

1×	node limit

Counts

79 → 59

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(.f64 4 (/.f64 (-.f64 x (.f64 1/2 z)) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)

Outputs
(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
(*.f64 -4 (/.f64 (fma.f64 1/2 z y) z))
(*.f64 (fma.f64 1/2 z y) (/.f64 -4 z))
(fma.f64 y (/.f64 -4 z) -2)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(.f64 4 (/.f64 (-.f64 x (.f64 1/2 z)) z))
(.f64 4 (/.f64 (+.f64 x (.f64 -1/2 z)) z))
(fma.f64 4 (/.f64 x z) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 y) z)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 y) z)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (*.f64 (fma.f64 1/2 z y) (/.f64 -4 z)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)

prune55.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Error

Counts

61 → 3

Alt Table

Status	Error	Program
	0.2b	(*.f64 4 (/.f64 1 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))))
▶	0.0b	(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
✓	0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Compiler

Compiled 891 to 587 computations (34.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
✓	0.0b	(*.f64 4 (/.f64 x z))

series12.0ms (0.4%)

Counts

2 → 27

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(*.f64 4 (/.f64 x z))
2.0ms	z	@	0	(*.f64 4 (/.f64 x z))
1.0ms	y	@	0	(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
1.0ms	x	@	0	(*.f64 4 (/.f64 x z))
1.0ms	x	@	inf	(*.f64 4 (/.f64 x z))

rewrite62.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

264×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`
151×	`add-sqr-sqrt_binary64`
144×	`*-un-lft-identity_binary64`
144×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	301	24
2	4151	24

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 4 x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 4 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 4 x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) 4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 4 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 4 x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 4 x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 4 x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (/.f64 x z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (.f64 4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 4 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 4 x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 4 x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 4 x) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (.f64 4 x) z)))) (/.f64 (.f64 (pow.f64 (/.f64 x z) 2) 16) (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (.f64 4 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))) (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))) (sqrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y))) 3) (pow.f64 (/.f64 (.f64 4 x) z) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (.f64 (/.f64 (.f64 4 x) z) (-.f64 (/.f64 (.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (.f64 (pow.f64 (/.f64 x z) 2) 16)) (/.f64 1 (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (.f64 4 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (.f64 (/.f64 (.f64 4 x) z) (-.f64 (/.f64 (.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))) (+.f64 (pow.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y))) 3) (pow.f64 (/.f64 (.f64 4 x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (.f64 4 x) z))) (-.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (.f64 (pow.f64 (/.f64 x z) 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y))) 3) (pow.f64 (/.f64 (.f64 4 x) z) 3)) (+.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (.f64 (/.f64 (.f64 4 x) z) (-.f64 (/.f64 (.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y))) 3) (pow.f64 (/.f64 (.f64 4 x) z) 3)) (+.f64 (.f64 (pow.f64 (/.f64 x z) 2) 16) (-.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (.f64 (/.f64 (.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (.f64 (pow.f64 (/.f64 x z) 2) 16)) (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (.f64 4 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y))) 3) (pow.f64 (/.f64 (.f64 4 x) z) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (.f64 (/.f64 (.f64 4 x) z) (-.f64 (/.f64 (.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (.f64 (pow.f64 (/.f64 x z) 2) 16))) (neg.f64 (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (.f64 4 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (/.f64 x z) 2) 16) (.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16)) (-.f64 (/.f64 (.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 4 (+.f64 -2 (/.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (/.f64 (.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1/2 (/.f64 y z)) -4 (/.f64 (.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 -2 (/.f64 -4 (/.f64 z y))) (/.f64 (.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 2) (cbrt.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y)))) (/.f64 (.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 4 x) z)) 2) (cbrt.f64 (/.f64 (.f64 4 x) z)) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y)))) (sqrt.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y)))) (/.f64 (.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (.f64 4 x) z)) (sqrt.f64 (/.f64 (.f64 4 x) z)) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 4 x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 4 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 4 x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 4 x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 4 x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 4 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 4 x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 4 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 4 x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 4 x) z)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (*.f64 4 x) z)))) (/.f64 (*.f64 (pow.f64 (/.f64 x z) 2) 16) (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (*.f64 4 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))) (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 2)) (cbrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))) (sqrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y))) 3) (pow.f64 (/.f64 (*.f64 4 x) z) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (*.f64 (/.f64 (*.f64 4 x) z) (-.f64 (/.f64 (*.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (*.f64 (pow.f64 (/.f64 x z) 2) 16)) (/.f64 1 (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (*.f64 4 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (*.f64 (/.f64 (*.f64 4 x) z) (-.f64 (/.f64 (*.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))) (+.f64 (pow.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y))) 3) (pow.f64 (/.f64 (*.f64 4 x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (*.f64 4 x) z))) (-.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (*.f64 (pow.f64 (/.f64 x z) 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y))) 3) (pow.f64 (/.f64 (*.f64 4 x) z) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (*.f64 (/.f64 (*.f64 4 x) z) (-.f64 (/.f64 (*.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y))) 3) (pow.f64 (/.f64 (*.f64 4 x) z) 3)) (+.f64 (*.f64 (pow.f64 (/.f64 x z) 2) 16) (-.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (*.f64 (/.f64 (*.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (*.f64 (pow.f64 (/.f64 x z) 2) 16)) (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (*.f64 4 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y))) 3) (pow.f64 (/.f64 (*.f64 4 x) z) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (*.f64 (/.f64 (*.f64 4 x) z) (-.f64 (/.f64 (*.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16) (*.f64 (pow.f64 (/.f64 x z) 2) 16))) (neg.f64 (+.f64 -2 (-.f64 (/.f64 -4 (/.f64 z y)) (/.f64 (*.f64 4 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x z) 2) 16) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 y z)) 2) 16)) (-.f64 (/.f64 (*.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 4 (+.f64 -2 (/.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (/.f64 (*.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1/2 (/.f64 y z)) -4 (/.f64 (*.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 4 x) z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 -2 (/.f64 -4 (/.f64 z y))) (/.f64 (*.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y)))) 2) (cbrt.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y)))) (/.f64 (*.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 4 x) z)) 2) (cbrt.f64 (/.f64 (*.f64 4 x) z)) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y)))) (sqrt.f64 (+.f64 -2 (/.f64 -4 (/.f64 z y)))) (/.f64 (*.f64 4 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 4 x) z)) (sqrt.f64 (/.f64 (*.f64 4 x) z)) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (/.f64 x z) (+.f64 -2 (/.f64 -4 (/.f64 z y))))))))))

simplify64.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

953×	`fma-neg_binary64`
929×	`fma-def_binary64`
282×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-neg-in_binary64`
101×	`sub-neg_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	29	365
1	60	329
2	104	327
3	149	327
4	245	290
5	430	290
6	1004	254
7	2171	254
8	3205	254
9	3635	254
10	3816	254
11	4042	254
12	4075	254
13	4077	254

Stop Event

1×

saturated

Counts

88 → 74

Calls

Call 1

Inputs
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(/.f64 (+.f64 (.f64 -4 y) (.f64 4 x)) z)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
-2
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
-2
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 y) (*.f64 -4 x)) z)) 2)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 y) (*.f64 -4 x)) z)) 2)
(*.f64 -4 (+.f64 1/2 (/.f64 y z)))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))

Outputs
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(/.f64 (+.f64 (.f64 -4 y) (.f64 4 x)) z)
(/.f64 (fma.f64 -4 y (*.f64 4 x)) z)
(/.f64 4 (/.f64 z (-.f64 x y)))
(/.f64 (-.f64 x y) (/.f64 z 4))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
-2
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
-2
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 y) (*.f64 -4 x)) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 y) (*.f64 -4 x)) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 y) (*.f64 -4 x)) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 x z) (fma.f64 -4 (/.f64 y z) -2))
(+.f64 (/.f64 4 (/.f64 z (-.f64 x y))) -2)
(+.f64 (/.f64 (-.f64 x y) (/.f64 z 4)) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(*.f64 -4 (+.f64 1/2 (/.f64 y z)))
(+.f64 -2 (*.f64 -4 (/.f64 y z)))
(+.f64 (*.f64 -4 (/.f64 y z)) -2)
(fma.f64 -4 (/.f64 y z) -2)
(*.f64 4 (/.f64 x z))
(/.f64 x (/.f64 z 4))
(*.f64 4 (/.f64 x z))
(/.f64 x (/.f64 z 4))

prune99.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Error

Counts

77 → 3

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 4 (/.f64 1 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))))
✓	0.0b	(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
✓	0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Compiler

Compiled 1419 to 913 computations (35.7% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
✓	0.2b	(/.f64 1 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))))

series14.0ms (0.5%)

Counts

2 → 72

Calls

18 calls:

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

rewrite59.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

461×	`prod-diff_binary64`
200×	`fma-def_binary64`
193×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`
159×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	218	22
2	2935	22

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

771×	`times-frac_binary64`
527×	`associate-/l*_binary64`
476×	`fma-def_binary64`
362×	`associate-/r*_binary64`
153×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1616
1	397	1465
2	1306	1304

Stop Event

1×	node limit

Counts

151 → 139

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) z)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
-1/2
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
-1/2
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z))
(+.f64 (/.f64 x z) (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(+.f64 (/.f64 x z) (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(+.f64 (/.f64 x z) (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(/.f64 x z)
(+.f64 (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)) (/.f64 x z))
(+.f64 (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)) (/.f64 x z))
(+.f64 (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (+.f64 1/2 (/.f64 y z))) (/.f64 x z))
(+.f64 (*.f64 -1 (+.f64 1/2 (/.f64 y z))) (/.f64 x z))
(+.f64 (*.f64 -1 (+.f64 1/2 (/.f64 y z))) (/.f64 x z))
(/.f64 (-.f64 x (*.f64 1/2 z)) z)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(*.f64 -1 (/.f64 y z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(*.f64 -1 (/.f64 y z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(/.f64 z (-.f64 x y))
(+.f64 (/.f64 z (-.f64 x y)) (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))))
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)))))
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3))) (*.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x y) 4))))))
-2
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2)
-2
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2)
(.f64 -1 (/.f64 z (+.f64 y (.f64 1/2 z))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 (+.f64 y (.f64 1/2 z)) 2))) (.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 (+.f64 y (.f64 1/2 z)) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (.f64 1/2 z)) 3))) (.f64 -1 (/.f64 z (+.f64 y (.f64 1/2 z))))))
(+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 (+.f64 y (.f64 1/2 z)) 4))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 (+.f64 y (.f64 1/2 z)) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (.f64 1/2 z)) 3))) (.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))))
(/.f64 z x)
(+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (+.f64 (/.f64 z x) (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 3) z) (pow.f64 x 4)))))
(/.f64 z x)
(+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (+.f64 (/.f64 z x) (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 3) z) (pow.f64 x 4)))))
(/.f64 z (-.f64 x (*.f64 1/2 z)))
(+.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 1/2 z)) 2)) (/.f64 z (-.f64 x (*.f64 1/2 z))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (-.f64 x (.f64 1/2 z)) 3)) (+.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 1/2 z)) 2)) (/.f64 z (-.f64 x (*.f64 1/2 z)))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (-.f64 x (.f64 1/2 z)) 3)) (+.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 1/2 z)) 2)) (+.f64 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 (-.f64 x (.f64 1/2 z)) 4)) (/.f64 z (-.f64 x (*.f64 1/2 z))))))
(*.f64 -1 (/.f64 z y))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (*.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 3) z) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (.f64 -1 (/.f64 z y)))))
(*.f64 -1 (/.f64 z y))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (*.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 3) z) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (.f64 -1 (/.f64 z y)))))

Outputs
(/.f64 (-.f64 x y) z)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
-1/2
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
-1/2
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z))
(neg.f64 (/.f64 (+.f64 y (*.f64 z 1/2)) z))
(/.f64 (neg.f64 (fma.f64 z 1/2 y)) z)
(/.f64 (-.f64 (*.f64 z -1/2) y) z)
(+.f64 (/.f64 x z) (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -1 (/.f64 (+.f64 y (*.f64 z 1/2)) z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 (fma.f64 z 1/2 y) z))
(+.f64 (/.f64 x z) (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -1 (/.f64 (+.f64 y (*.f64 z 1/2)) z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 (fma.f64 z 1/2 y) z))
(+.f64 (/.f64 x z) (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -1 (/.f64 (+.f64 y (*.f64 z 1/2)) z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 (fma.f64 z 1/2 y) z))
(/.f64 x z)
(+.f64 (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 (+.f64 y (*.f64 z 1/2)) z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 (fma.f64 z 1/2 y) z))
(+.f64 (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 (+.f64 y (*.f64 z 1/2)) z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 (fma.f64 z 1/2 y) z))
(+.f64 (.f64 -1 (/.f64 (+.f64 y (.f64 1/2 z)) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 (+.f64 y (*.f64 z 1/2)) z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 (fma.f64 z 1/2 y) z))
(/.f64 x z)
(+.f64 (*.f64 -1 (+.f64 1/2 (/.f64 y z))) (/.f64 x z))
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(+.f64 (*.f64 -1 (+.f64 1/2 (/.f64 y z))) (/.f64 x z))
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(+.f64 (*.f64 -1 (+.f64 1/2 (/.f64 y z))) (/.f64 x z))
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(/.f64 (-.f64 x (*.f64 1/2 z)) z)
(/.f64 (-.f64 x (*.f64 z 1/2)) z)
(/.f64 (+.f64 x (*.f64 z -1/2)) z)
(+.f64 (/.f64 x z) -1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z)) 1/2)
(-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z)))
(+.f64 (/.f64 (-.f64 x y) z) -1/2)
(/.f64 z (-.f64 x y))
(+.f64 (/.f64 z (-.f64 x y)) (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))))
(+.f64 (/.f64 z (-.f64 x y)) (.f64 1/2 (/.f64 (.f64 z z) (pow.f64 (-.f64 x y) 2))))
(fma.f64 1/2 (/.f64 (*.f64 z z) (pow.f64 (-.f64 x y) 2)) (/.f64 z (-.f64 x y)))
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)))))
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/2 (/.f64 (.f64 z z) (pow.f64 (-.f64 x y) 2)) (.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)))))
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)) (/.f64 (.f64 1/2 (.f64 z z)) (pow.f64 (-.f64 x y) 2))))
(fma.f64 1/2 (/.f64 (*.f64 z z) (pow.f64 (-.f64 x y) 2)) (fma.f64 1/4 (pow.f64 (/.f64 z (-.f64 x y)) 3) (/.f64 z (-.f64 x y))))
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3))) (*.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x y) 4))))))
(+.f64 (/.f64 z (-.f64 x y)) (fma.f64 1/2 (/.f64 (.f64 z z) (pow.f64 (-.f64 x y) 2)) (fma.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)) (/.f64 (.f64 1/8 (pow.f64 z 4)) (pow.f64 (-.f64 x y) 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 z z) (pow.f64 (-.f64 x y) 2)) (/.f64 z (-.f64 x y))) (fma.f64 1/4 (pow.f64 (/.f64 z (-.f64 x y)) 3) (.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x y) 4)))))
-2
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 -4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 (-.f64 x y) z) -4 -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2)
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (.f64 z z)))) -2)
(fma.f64 (/.f64 (-.f64 x y) z) -4 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) -2))
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2)
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (fma.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)) (.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (.f64 z z))))) -2)
(+.f64 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (.f64 z z)) (.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))) (fma.f64 (/.f64 (-.f64 x y) z) -4 -2))
(fma.f64 (/.f64 (-.f64 x y) z) -4 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) (fma.f64 -16 (pow.f64 (/.f64 (-.f64 x y) z) 3) -2)))
-2
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 -4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 (-.f64 x y) z) -4 -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2)
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (.f64 z z)))) -2)
(fma.f64 (/.f64 (-.f64 x y) z) -4 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) -2))
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2)
(+.f64 (fma.f64 -4 (/.f64 (-.f64 x y) z) (fma.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)) (.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (.f64 z z))))) -2)
(+.f64 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (.f64 z z)) (.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3)))) (fma.f64 (/.f64 (-.f64 x y) z) -4 -2))
(fma.f64 (/.f64 (-.f64 x y) z) -4 (fma.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (*.f64 z z)) (fma.f64 -16 (pow.f64 (/.f64 (-.f64 x y) z) 3) -2)))
(.f64 -1 (/.f64 z (+.f64 y (.f64 1/2 z))))
(neg.f64 (/.f64 z (+.f64 y (*.f64 z 1/2))))
(/.f64 (neg.f64 z) (fma.f64 z 1/2 y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 (+.f64 y (.f64 1/2 z)) 2))) (.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))
(.f64 -1 (+.f64 (/.f64 z (/.f64 (pow.f64 (+.f64 y (.f64 z 1/2)) 2) x)) (/.f64 z (+.f64 y (*.f64 z 1/2)))))
(-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (/.f64 x (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) z)))
(*.f64 (/.f64 z (fma.f64 z 1/2 y)) (-.f64 -1 (/.f64 x (fma.f64 z 1/2 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 (+.f64 y (.f64 1/2 z)) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (.f64 1/2 z)) 3))) (.f64 -1 (/.f64 z (+.f64 y (.f64 1/2 z))))))
(fma.f64 -1 (/.f64 z (/.f64 (pow.f64 (+.f64 y (.f64 z 1/2)) 2) x)) (fma.f64 -1 (/.f64 (.f64 z (.f64 x x)) (pow.f64 (+.f64 y (.f64 z 1/2)) 3)) (neg.f64 (/.f64 z (+.f64 y (*.f64 z 1/2))))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (/.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 z 1/2 y) 3) z))) (/.f64 x (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) z)))
(-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) (+.f64 x (/.f64 x (/.f64 (fma.f64 z 1/2 y) x)))))
(+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 (+.f64 y (.f64 1/2 z)) 4))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 (+.f64 y (.f64 1/2 z)) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (.f64 1/2 z)) 3))) (.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))))
(fma.f64 -1 (/.f64 z (/.f64 (pow.f64 (+.f64 y (.f64 z 1/2)) 4) (pow.f64 x 3))) (fma.f64 -1 (/.f64 z (/.f64 (pow.f64 (+.f64 y (.f64 z 1/2)) 2) x)) (fma.f64 -1 (/.f64 (.f64 z (.f64 x x)) (pow.f64 (+.f64 y (.f64 z 1/2)) 3)) (neg.f64 (/.f64 z (+.f64 y (.f64 z 1/2)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (/.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 z 1/2 y) 3) z))) (/.f64 x (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) z))) (/.f64 z (/.f64 (pow.f64 (fma.f64 z 1/2 y) 4) (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) (fma.f64 z 1/2 y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 z 1/2 y) 2)) (+.f64 x (/.f64 x (/.f64 (fma.f64 z 1/2 y) x))))) (/.f64 z (/.f64 (pow.f64 (fma.f64 z 1/2 y) 4) (pow.f64 x 3))))
(/.f64 z x)
(+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x))
(+.f64 (/.f64 z x) (/.f64 (+.f64 y (.f64 z 1/2)) (/.f64 (.f64 x x) z)))
(+.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 (fma.f64 z 1/2 y) x)))
(*.f64 (+.f64 (/.f64 (fma.f64 z 1/2 y) x) 1) (/.f64 z x))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x)))
(+.f64 (+.f64 (/.f64 z x) (/.f64 (+.f64 y (.f64 z 1/2)) (/.f64 (.f64 x x) z))) (/.f64 (pow.f64 (+.f64 y (*.f64 z 1/2)) 2) (/.f64 (pow.f64 x 3) z)))
(+.f64 (/.f64 z x) (+.f64 (*.f64 (/.f64 z x) (/.f64 (fma.f64 z 1/2 y) x)) (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) (/.f64 (pow.f64 x 3) z))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) (pow.f64 x 3)) z (*.f64 (+.f64 (/.f64 (fma.f64 z 1/2 y) x) 1) (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (+.f64 (/.f64 z x) (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 3) z) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 (+.f64 y (.f64 z 1/2)) 2) (/.f64 (pow.f64 x 3) z)) (+.f64 (+.f64 (/.f64 z x) (/.f64 (+.f64 y (.f64 z 1/2)) (/.f64 (.f64 x x) z))) (/.f64 (pow.f64 (+.f64 y (.f64 z 1/2)) 3) (/.f64 (pow.f64 x 4) z))))
(+.f64 (+.f64 (/.f64 z x) (.f64 (/.f64 z x) (/.f64 (fma.f64 z 1/2 y) x))) (+.f64 (.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 y) 3) (pow.f64 x 4)) z) (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) (/.f64 (pow.f64 x 3) z))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) (pow.f64 x 3)) z (fma.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 y) 3) (pow.f64 x 4)) z (*.f64 (+.f64 (/.f64 (fma.f64 z 1/2 y) x) 1) (/.f64 z x))))
(/.f64 z x)
(+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x))
(+.f64 (/.f64 z x) (/.f64 (+.f64 y (.f64 z 1/2)) (/.f64 (.f64 x x) z)))
(+.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 (fma.f64 z 1/2 y) x)))
(*.f64 (+.f64 (/.f64 (fma.f64 z 1/2 y) x) 1) (/.f64 z x))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x)))
(+.f64 (+.f64 (/.f64 z x) (/.f64 (+.f64 y (.f64 z 1/2)) (/.f64 (.f64 x x) z))) (/.f64 (pow.f64 (+.f64 y (*.f64 z 1/2)) 2) (/.f64 (pow.f64 x 3) z)))
(+.f64 (/.f64 z x) (+.f64 (*.f64 (/.f64 z x) (/.f64 (fma.f64 z 1/2 y) x)) (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) (/.f64 (pow.f64 x 3) z))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) (pow.f64 x 3)) z (*.f64 (+.f64 (/.f64 (fma.f64 z 1/2 y) x) 1) (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (+.f64 (/.f64 z x) (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 3) z) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 (+.f64 y (.f64 z 1/2)) 2) (/.f64 (pow.f64 x 3) z)) (+.f64 (+.f64 (/.f64 z x) (/.f64 (+.f64 y (.f64 z 1/2)) (/.f64 (.f64 x x) z))) (/.f64 (pow.f64 (+.f64 y (.f64 z 1/2)) 3) (/.f64 (pow.f64 x 4) z))))
(+.f64 (+.f64 (/.f64 z x) (.f64 (/.f64 z x) (/.f64 (fma.f64 z 1/2 y) x))) (+.f64 (.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 y) 3) (pow.f64 x 4)) z) (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) (/.f64 (pow.f64 x 3) z))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 y) 2) (pow.f64 x 3)) z (fma.f64 (/.f64 (pow.f64 (fma.f64 z 1/2 y) 3) (pow.f64 x 4)) z (*.f64 (+.f64 (/.f64 (fma.f64 z 1/2 y) x) 1) (/.f64 z x))))
(/.f64 z (-.f64 x (*.f64 1/2 z)))
(/.f64 z (-.f64 x (*.f64 z 1/2)))
(/.f64 z (+.f64 x (*.f64 z -1/2)))
(/.f64 z (fma.f64 z -1/2 x))
(+.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 1/2 z)) 2)) (/.f64 z (-.f64 x (*.f64 1/2 z))))
(+.f64 (/.f64 z (-.f64 x (.f64 z 1/2))) (/.f64 (.f64 y z) (pow.f64 (-.f64 x (*.f64 z 1/2)) 2)))
(+.f64 (/.f64 z (+.f64 x (.f64 z -1/2))) (/.f64 z (/.f64 (pow.f64 (+.f64 x (.f64 z -1/2)) 2) y)))
(*.f64 (+.f64 (/.f64 y (fma.f64 z -1/2 x)) 1) (/.f64 z (fma.f64 z -1/2 x)))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (-.f64 x (.f64 1/2 z)) 3)) (+.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 1/2 z)) 2)) (/.f64 z (-.f64 x (*.f64 1/2 z)))))
(+.f64 (+.f64 (/.f64 z (-.f64 x (.f64 z 1/2))) (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 z 1/2)) 2))) (/.f64 (.f64 y y) (/.f64 (pow.f64 (-.f64 x (*.f64 z 1/2)) 3) z)))
(+.f64 (/.f64 z (/.f64 (pow.f64 (+.f64 x (.f64 z -1/2)) 2) y)) (+.f64 (/.f64 z (+.f64 x (.f64 z -1/2))) (/.f64 z (/.f64 (pow.f64 (+.f64 x (.f64 z -1/2)) 3) (.f64 y y)))))
(fma.f64 (/.f64 y (/.f64 (pow.f64 (fma.f64 z -1/2 x) 3) y)) z (*.f64 (+.f64 (/.f64 y (fma.f64 z -1/2 x)) 1) (/.f64 z (fma.f64 z -1/2 x))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (-.f64 x (.f64 1/2 z)) 3)) (+.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 1/2 z)) 2)) (+.f64 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 (-.f64 x (.f64 1/2 z)) 4)) (/.f64 z (-.f64 x (*.f64 1/2 z))))))
(+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 (-.f64 x (.f64 z 1/2)) 3) z)) (+.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 z 1/2)) 2)) (+.f64 (/.f64 z (-.f64 x (.f64 z 1/2))) (/.f64 (.f64 z (pow.f64 y 3)) (pow.f64 (-.f64 x (*.f64 z 1/2)) 4)))))
(+.f64 (+.f64 (/.f64 z (+.f64 x (.f64 z -1/2))) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 x (.f64 z -1/2)) 4)) z)) (+.f64 (/.f64 z (/.f64 (pow.f64 (+.f64 x (.f64 z -1/2)) 2) y)) (/.f64 z (/.f64 (pow.f64 (+.f64 x (.f64 z -1/2)) 3) (.f64 y y)))))
(fma.f64 (/.f64 y (/.f64 (pow.f64 (fma.f64 z -1/2 x) 3) y)) z (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z -1/2 x) 4)) z (*.f64 (+.f64 (/.f64 y (fma.f64 z -1/2 x)) 1) (/.f64 z (fma.f64 z -1/2 x)))))
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (.f64 -1 (/.f64 z y)))
(.f64 -1 (+.f64 (/.f64 (-.f64 x (.f64 z 1/2)) (/.f64 (*.f64 y y) z)) (/.f64 z y)))
(-.f64 (/.f64 (neg.f64 z) y) (/.f64 z (/.f64 (.f64 y y) (+.f64 x (.f64 z -1/2)))))
(*.f64 (/.f64 z y) (-.f64 -1 (/.f64 (fma.f64 z -1/2 x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (*.f64 -1 (/.f64 z y))))
(fma.f64 -1 (/.f64 (-.f64 x (.f64 z 1/2)) (/.f64 (.f64 y y) z)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 x (*.f64 z 1/2)) 2) (/.f64 (pow.f64 y 3) z)) (neg.f64 (/.f64 z y))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) y) (/.f64 (pow.f64 (+.f64 x (.f64 z -1/2)) 2) (/.f64 (pow.f64 y 3) z))) (/.f64 z (/.f64 (.f64 y y) (+.f64 x (*.f64 z -1/2)))))
(-.f64 (.f64 (/.f64 z y) (-.f64 -1 (/.f64 (fma.f64 z -1/2 x) y))) (.f64 (/.f64 (pow.f64 (fma.f64 z -1/2 x) 2) (pow.f64 y 3)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 3) z) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (.f64 -1 (/.f64 z y)))))
(fma.f64 -1 (/.f64 (-.f64 x (.f64 z 1/2)) (/.f64 (.f64 y y) z)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 x (.f64 z 1/2)) 3) (/.f64 (pow.f64 y 4) z)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 x (.f64 z 1/2)) 2) (/.f64 (pow.f64 y 3) z)) (neg.f64 (/.f64 z y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) y) (/.f64 (pow.f64 (+.f64 x (.f64 z -1/2)) 2) (/.f64 (pow.f64 y 3) z))) (/.f64 z (/.f64 (pow.f64 y 4) (pow.f64 (+.f64 x (.f64 z -1/2)) 3)))) (/.f64 z (/.f64 (.f64 y y) (+.f64 x (.f64 z -1/2)))))
(fma.f64 -1 (.f64 z (+.f64 (/.f64 (pow.f64 (fma.f64 z -1/2 x) 3) (pow.f64 y 4)) (/.f64 (pow.f64 (fma.f64 z -1/2 x) 2) (pow.f64 y 3)))) (.f64 (/.f64 z y) (-.f64 -1 (/.f64 (fma.f64 z -1/2 x) y))))
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (.f64 -1 (/.f64 z y)))
(.f64 -1 (+.f64 (/.f64 (-.f64 x (.f64 z 1/2)) (/.f64 (*.f64 y y) z)) (/.f64 z y)))
(-.f64 (/.f64 (neg.f64 z) y) (/.f64 z (/.f64 (.f64 y y) (+.f64 x (.f64 z -1/2)))))
(*.f64 (/.f64 z y) (-.f64 -1 (/.f64 (fma.f64 z -1/2 x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (*.f64 -1 (/.f64 z y))))
(fma.f64 -1 (/.f64 (-.f64 x (.f64 z 1/2)) (/.f64 (.f64 y y) z)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 x (*.f64 z 1/2)) 2) (/.f64 (pow.f64 y 3) z)) (neg.f64 (/.f64 z y))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) y) (/.f64 (pow.f64 (+.f64 x (.f64 z -1/2)) 2) (/.f64 (pow.f64 y 3) z))) (/.f64 z (/.f64 (.f64 y y) (+.f64 x (*.f64 z -1/2)))))
(-.f64 (.f64 (/.f64 z y) (-.f64 -1 (/.f64 (fma.f64 z -1/2 x) y))) (.f64 (/.f64 (pow.f64 (fma.f64 z -1/2 x) 2) (pow.f64 y 3)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 3) z) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (.f64 -1 (/.f64 z y)))))
(fma.f64 -1 (/.f64 (-.f64 x (.f64 z 1/2)) (/.f64 (.f64 y y) z)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 x (.f64 z 1/2)) 3) (/.f64 (pow.f64 y 4) z)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 x (.f64 z 1/2)) 2) (/.f64 (pow.f64 y 3) z)) (neg.f64 (/.f64 z y)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) y) (/.f64 (pow.f64 (+.f64 x (.f64 z -1/2)) 2) (/.f64 (pow.f64 y 3) z))) (/.f64 z (/.f64 (pow.f64 y 4) (pow.f64 (+.f64 x (.f64 z -1/2)) 3)))) (/.f64 z (/.f64 (.f64 y y) (+.f64 x (.f64 z -1/2)))))
(fma.f64 -1 (.f64 z (+.f64 (/.f64 (pow.f64 (fma.f64 z -1/2 x) 3) (pow.f64 y 4)) (/.f64 (pow.f64 (fma.f64 z -1/2 x) 2) (pow.f64 y 3)))) (.f64 (/.f64 z y) (-.f64 -1 (/.f64 (fma.f64 z -1/2 x) y))))

prune134.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	139	3	142

Error

Counts

142 → 3

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 4 (/.f64 1 (/.f64 z (-.f64 x (fma.f64 z 1/2 y)))))
✓	0.0b	(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
✓	0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Compiler

Compiled 2794 to 1842 computations (34.1% saved)

regimes99.0ms (3.6%)

Accuracy

Total -0.3b remaining (-2583%)

Threshold costs -0.3b (-2583%)

Counts

28 → 1

Compiler

Compiled 280 to 172 computations (38.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	15	16
2	25	16
3	32	16
4	37	16
5	40	16
6	41	16

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 4 (-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z))))

Outputs
(*.f64 4 (-.f64 (/.f64 x z) (+.f64 1/2 (/.f64 y z))))
(*.f64 4 (+.f64 (/.f64 x z) (-.f64 -1/2 (/.f64 y z))))

end42.0ms (1.5%)

Stop Event

1×

done

Compiler

Compiled 64 to 42 computations (34.4% saved)

Details

analyze822.0ms (29.5%)

sample1.1s (39.2%)

preprocess33.0ms (1.2%)

simplify22.0ms (0.8%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series9.0ms (0.3%)

rewrite50.0ms (1.8%)

simplify41.0ms (1.5%)

prune55.0ms (2%)

localize8.0ms (0.3%)

series12.0ms (0.4%)

rewrite62.0ms (2.2%)

simplify64.0ms (2.3%)

prune99.0ms (3.6%)

localize9.0ms (0.3%)

series14.0ms (0.5%)

rewrite59.0ms (2.1%)

simplify46.0ms (1.6%)

prune134.0ms (4.8%)

regimes99.0ms (3.6%)

simplify3.0ms (0.1%)

end42.0ms (1.5%)

Profiling