Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze71.0ms (1.2%)

Memory

26.3MiB live, 81.6MiB allocated; 51ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
66.7%	49.9%	25%	0.1%	0%	25%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.5s (24.5%)

Memory

26.1MiB live, 1 869.1MiB allocated; 457ms collecting garbage

Samples

834.0ms	8 256×	0	valid
167.0ms	2 036×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 657.0ms

ival-div: 200.0ms (30.4% of total)

ival-sqrt: 197.0ms (30% of total)

ival-mult: 158.0ms (24% of total)

ival-add: 80.0ms (12.2% of total)

exact: 9.0ms (1.4% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

adjust: 3.0ms (0.5% of total)

Bogosity

explain172.0ms (2.9%)

Memory

-25.6MiB live, 119.9MiB allocated; 33ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(sqrt.f64 z)`
0	-	-	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 y (sqrt.f64 z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (35.3% of total)

ival-sqrt: 4.0ms (23.6% of total)

ival-div: 3.0ms (17.7% of total)

ival-add: 2.0ms (11.8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess57.0ms (1%)

Memory

19.2MiB live, 65.0MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	76
1	113	74
2	299	74
3	561	74
4	842	74
5	973	74
6	1016	74
7	1067	74
8	1097	74
9	1127	74
0	10	8
0	16	8
1	31	8
2	59	8
3	105	8
4	160	8
5	186	8
6	197	8
7	213	8
8	224	8
9	234	8
10	244	8
0	244	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify9.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
cost-diff	1	(+.f64 x (*.f64 y (sqrt.f64 z)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	16	26
1	31	26
2	59	26
3	105	26
4	160	26
5	186	26
6	197	26
7	213	26
8	224	26
9	234	26
10	244	26
0	244	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) y x)
x
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
y
(sqrt.f64 z)
z

localize84.0ms (1.4%)

Memory

-36.6MiB live, 64.2MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0078125	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.20253795983672143	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.21484375	(*.f64 y (sqrt.f64 z))

Samples

44.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 27.0ms (82.5% of total)

ival-div: 2.0ms (6.1% of total)

ival-sqrt: 2.0ms (6.1% of total)

ival-add: 1.0ms (3.1% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Counts

5 → 23

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)

Outputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

Calls

9 calls:

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

simplify138.0ms (2.3%)

Memory

-5.2MiB live, 137.3MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	169
1	270	169
2	954	169
3	2978	161
4	6480	161
0	8086	148

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

Inputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

Outputs
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 (* y (sqrt z)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)))
(* y (+ (sqrt z) (/ x y)))
(fma.f64 (sqrt.f64 z) y x)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(sqrt z)
(sqrt.f64 z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)

rewrite302.0ms (5%)

Memory

1.7MiB live, 238.2MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	46	21
2	259	21
3	2201	21
0	8582	19

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 387

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)

Outputs
#s(literal 1/2 binary64)
(.f64 (/.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (fma.f64 z y (.f64 (sqrt.f64 z) x)) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 z y) y (*.f64 (neg.f64 x) x))) (fma.f64 (sqrt.f64 z) y x))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal 2 binary64))) (fma.f64 (.f64 z y) y (.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x))) (-.f64 (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))) (/.f64 (fma.f64 (sqrt.f64 z) y x) (fma.f64 (.f64 z y) y (.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))) (.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 9/2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 z y) y (.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) y (.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) y (.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) y (.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) y (.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) y (.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) y) (.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) y)) (.f64 x (.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) (.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))) (.f64 x (.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 y) (.f64 z y))) (-.f64 (.f64 (sqrt.f64 z) y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 (*.f64 (sqrt.f64 z) y) x))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) y (.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) y (.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 z) y x))
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(.f64 (fabs.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64)))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) y) y) (pow.f64 z #s(literal 1/4 binary64)))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 y))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) (sqrt.f64 (neg.f64 y)))
(.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 z) y) y))))
(.f64 (sqrt.f64 (.f64 (neg.f64 y) (sqrt.f64 z))) (sqrt.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))))
(.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) (sqrt.f64 z)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 z) y)) (sqrt.f64 (*.f64 (sqrt.f64 z) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 z) y) y)) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 z y)))
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 z))
(.f64 (pow.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 y) (sqrt.f64 z))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (fabs.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 y))))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (fabs.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) (sqrt.f64 z)))))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 z) y) y)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 z) (fabs.f64 (fabs.f64 y)))
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y)))
(*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (fabs.f64 y))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 z y) y) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))
(sqrt.f64 (.f64 (.f64 z y) y))
(fabs.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fabs.f64 (*.f64 (sqrt.f64 z) y))
(exp.f64 (/.f64 (log.f64 (.f64 (.f64 z y) y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y)))
(+.f64 (cosh.f64 (log.f64 (.f64 (sqrt.f64 z) y))) (sinh.f64 (log.f64 (.f64 (sqrt.f64 z) y))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z))
(pow.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 z))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) (cosh.f64 (log.f64 (sqrt.f64 z))) (-.f64 (.f64 (sinh.f64 (log.f64 (sqrt.f64 z))) (sinh.f64 (log.f64 (sqrt.f64 z)))) (.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) (sinh.f64 (log.f64 (sqrt.f64 z)))))))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(exp.f64 (/.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) (sinh.f64 (log.f64 (sqrt.f64 z))))

eval54.0ms (0.9%)

Memory: 18.6MiB live, 106.1MiB allocated; 15ms collecting garbage
Compiler: Compiled 13 680 to 1 346 computations (90.2% saved)

prune18.0ms (0.3%)

Memory

-12.3MiB live, 42.7MiB allocated; 12ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	383	14	397
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	14	398

Accuracy

100.0%

Counts

398 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
▶	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
	52.3%	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	38.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
▶	49.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
	86.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 (.f64 z y) (/.f64 y (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
▶	38.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
	60.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
	86.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))))
▶	95.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	88.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))))
	52.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	48.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 502 to 380 computations (24.3% saved)

simplify112.0ms (1.9%)

Memory

-4.2MiB live, 87.2MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	7	(fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))))
cost-diff	0	(sqrt.f64 (*.f64 z y))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
cost-diff	2	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	222
0	64	222
1	120	209
2	258	209
3	612	209
4	1284	209
5	2214	209
6	3004	209
7	3298	209
8	3304	209
9	3315	209
10	3315	209
11	3327	209
12	3357	209
13	3387	209
14	3402	209
15	3402	209
0	3402	204

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
y
(*.f64 x #s(literal 1/2 binary64))
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 z y)
z
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
z
y
(sqrt.f64 y)
x
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))))
y
(/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x))
(*.f64 z y)
z
(-.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
x
(.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))
(/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))

Outputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
y
(*.f64 x #s(literal 1/2 binary64))
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z) x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(*.f64 z y)
(*.f64 y z)
z
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
(.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y z)) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)) x)
(sqrt.f64 (*.f64 z y))
(sqrt.f64 (*.f64 y z))
(*.f64 z y)
(*.f64 y z)
z
y
(sqrt.f64 y)
x
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y (sqrt.f64 z)) x)) (fma.f64 (.f64 y z) y (.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))))
(/.f64 (fma.f64 (.f64 y z) y (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
y
(/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x))
(.f64 (/.f64 z (-.f64 (.f64 y (sqrt.f64 z)) x)) y)
(*.f64 z y)
(*.f64 y z)
z
(-.f64 (*.f64 (sqrt.f64 z) y) x)
(-.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
x
(.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))
(.f64 (/.f64 x (-.f64 (.f64 y (sqrt.f64 z)) x)) x)
(/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 x (-.f64 (*.f64 y (sqrt.f64 z)) x))

localize96.0ms (1.6%)

Memory

15.8MiB live, 206.8MiB allocated; 17ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.20253795983672143	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
accuracy	0.2632865846009501	(.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))
accuracy	1.6934232779351666	(/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	5.396092732050293	(/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.0625	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
accuracy	0.20253795983672143	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
accuracy	8.373812668573747	(sqrt.f64 (*.f64 z y))
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
accuracy	0.046875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.20253795983672143	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
accuracy	0.5186561251779268	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	15.257985384540453	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.05078125	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))

Samples

35.0ms	127×	0	invalid
35.0ms	129×	0	valid

Compiler

Compiled 227 to 37 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 28.0ms (58% of total)

ival-div: 6.0ms (12.4% of total)

ival-add: 6.0ms (12.4% of total)

ival-sqrt: 6.0ms (12.4% of total)

ival-sub: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series76.0ms (1.3%)

Memory

14.7MiB live, 61.0MiB allocated; 3ms collecting garbage

Counts

21 → 159

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
(sqrt.f64 z)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 z y)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(sqrt.f64 (*.f64 z y))
(fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt.f64 y)
(/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))
(.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ (* x (+ 1 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(+ (* x (+ 1 (* x (- (+ (* 2 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z)))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z))))))))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* x (+ (* 1/2 (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))) (/ x (* (pow y 2) z)))))))
(sqrt z)
(+ (sqrt z) (/ x y))
(+ (sqrt z) (* x (+ (* (/ x (pow y 2)) (sqrt (/ 1 z))) (/ 1 y))))
(+ (sqrt z) (* x (+ (* x (- (/ x (* (pow y 3) z)) (* -1 (* (/ 1 (pow y 2)) (sqrt (/ 1 z)))))) (/ 1 y))))
(* (/ x y) (sqrt (/ 1 z)))
(* x (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z))))
(* x (+ (* x (+ (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(* x (+ (* x (+ (* x (- (/ x (* (pow y 4) (pow z 2))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(* (/ (pow x 2) y) (sqrt (/ 1 z)))
(* (pow x 2) (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z))))
(* (pow x 2) (+ (* x (+ (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(* (pow x 2) (+ (* x (+ (* x (- (/ x (* (pow y 4) (pow z 2))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 x)
(* x (- (* -1 (* (/ y x) (sqrt z))) 1))
(* x (- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(* x (- (+ (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(* -1/2 x)
(* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))
(* x (- (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) 1/2))
(* x (- (+ (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))))) 1/2))
(* -1 (/ (* y z) x))
(/ (+ (* -1 (* y z)) (* -1 (* (/ (pow y 2) x) (sqrt (pow z 3))))) x)
(/ (- (+ (* -1 (* y z)) (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 2)))) (* (/ (pow y 2) x) (sqrt (pow z 3)))) x)
(/ (- (+ (* -1 (* y z)) (* -1 (* (/ (pow y 4) (pow x 3)) (sqrt (pow z 5))))) (+ (* (/ (pow y 2) x) (sqrt (pow z 3))) (/ (* (pow y 3) (pow z 2)) (pow x 2)))) x)
-1
(- (* -1 (* (/ y x) (sqrt z))) 1)
(- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (* (/ y x) (sqrt z))))
(- (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2)))))
(* x (- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (* (/ y x) (sqrt z)))))
(* x (- (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (+ 1 (* (/ y x) (sqrt z)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* (pow y 2) z)) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(* -1 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x))) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* (pow y 2) z) (* -1 (* (pow y 2) z)))) (* (/ (pow y 3) x) (sqrt (pow z 3)))) x)) (* -1/2 (* y (sqrt z)))) x)))))
(* -1 (/ (+ (* y z) (* (/ (pow y 2) x) (sqrt (pow z 3)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 2)) x)) (* (pow y 2) (sqrt (pow z 3)))) x)) (* y z)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 4) x) (sqrt (pow z 5))) (* -1 (* (pow y 3) (pow z 2)))) x)) (* (pow y 2) (sqrt (pow z 3)))) x)) (* y z)) x))
(- (* -1 (/ (- (/ (* (pow y 2) z) x) (* -1 (* y (sqrt z)))) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* (pow y 2) z)) x)) (* -1 (* y (sqrt z)))) x)) 1)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y (sqrt z))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(* y z)
(sqrt (* y z))
(+ (* -1 x) (* -1 (* y (sqrt z))))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ z x)) (/ z x))) (sqrt z))))
(+ (* -1 x) (* y (- (* y (- (+ (* -2 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* -1 (/ z x))) (/ z x))) (sqrt z))))
(+ (* -1/2 x) (* -1/2 (* y (sqrt z))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* 1/2 (* y (- (* -1 (/ z x)) (/ z x)))))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* y (+ (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* 1/2 (- (* -1 (/ z x)) (/ z x))))))))
(* y (+ (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* -1 (/ z x))))
(* y (+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y (pow z 2)) (pow x 3))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))))
(* y (+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 5)))) (/ (pow z 2) (pow x 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))))
(sqrt y)
(- (* y (- (* -1 (/ (* y z) (pow x 2))) (* (/ 1 x) (sqrt z)))) 1)
(- (* y (- (* y (- (* -1 (* (/ y (pow x 3)) (sqrt (pow z 3)))) (/ z (pow x 2)))) (* (/ 1 x) (sqrt z)))) 1)
(+ (* -1 x) (* y (- (* -1 (/ (* y z) x)) (sqrt z))))
(+ (* -1 x) (* y (- (* y (- (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (/ z x))) (sqrt z))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (- (+ (sqrt z) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))))
(* y (- (+ (sqrt z) (+ (* 2 (/ (pow x 3) (* (pow y 3) z))) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))) (/ (pow x 3) (* (pow y 3) z))))))
(- (+ (sqrt z) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))
(- (+ (sqrt z) (/ (pow x 3) (* (pow y 3) z))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y))))
(/ (+ (* x (sqrt (/ 1 z))) (/ (pow x 2) (* y z))) y)
(/ (- (+ (* x (sqrt (/ 1 z))) (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* -1 (/ (pow x 2) (* y z)))) y)
(/ (- (+ (* x (sqrt (/ 1 z))) (/ (pow x 4) (* (pow y 3) (pow z 2)))) (+ (* -1 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* -1 (/ (pow x 2) (* y z))))) y)
(/ (+ (* (pow x 2) (sqrt (/ 1 z))) (/ (pow x 3) (* y z))) y)
(/ (- (+ (* (/ (pow x 4) (pow y 2)) (sqrt (/ 1 (pow z 3)))) (* (pow x 2) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (* y z)))) y)
(/ (- (+ (* (pow x 2) (sqrt (/ 1 z))) (/ (pow x 5) (* (pow y 3) (pow z 2)))) (+ (* -1 (* (/ (pow x 4) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* -1 (/ (pow x 3) (* y z))))) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow x 3) (* y z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (* y z))) (* 1/2 (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(+ (sqrt z) (* -1 (/ (+ (* -1 x) (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))) y)))
(+ (sqrt z) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* (pow x 2) (sqrt (/ 1 z))) (/ (pow x 3) (* y z))) y))) y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (/ (pow x 2) (* y z)))) y))
(* -1 (/ (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3)))) (* -1 (/ (pow x 2) z))) y))) y))
(* -1 (/ (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 4) (* y (pow z 2)))) (* (pow x 3) (sqrt (/ 1 (pow z 3))))) y)) (* -1 (/ (pow x 2) z))) y))) y))
(* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (* y z)))) y))
(* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* -1 (/ (- (* (/ (pow x 4) y) (sqrt (/ 1 (pow z 3)))) (* -1 (/ (pow x 3) z))) y))) y))
(* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 5) (* y (pow z 2)))) (* (pow x 4) (sqrt (/ 1 (pow z 3))))) y)) (* -1 (/ (pow x 3) z))) y))) y))
(* 1/2 (sqrt z))
(* 1/2 (+ x (* y (sqrt z))))
(/ (pow x 2) (- (* y (sqrt z)) x))
(+ (/ (* (pow y 2) z) (- (* y (sqrt z)) x)) (/ (pow x 2) (- (* y (sqrt z)) x)))
(* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))) (* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x))))
(/ (* y z) (- (* y (sqrt z)) x))
(sqrt (/ 1 z))
(/ x (- (* y (sqrt z)) x))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(- (+ (* y (sqrt z)) (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* -1 x))
(- (+ (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* y (sqrt z)) (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (* -1 x))
(- (+ (* -1 (/ (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2)))) (pow z 3))) (+ (* y (sqrt z)) (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (+ (* -1 x) (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (* (pow y 2) z))))))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z))))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2)))) (pow z 3))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))))
(/ (+ (* (/ x y) (sqrt z)) (/ (pow x 2) (pow y 2))) z)
(/ (- (+ (* (/ x y) (sqrt z)) (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z)))) (* -1 (/ (pow x 2) (pow y 2)))) z)
(/ (- (+ (* (/ x y) (sqrt z)) (/ (pow x 4) (* (pow y 4) z))) (+ (* -1 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z)))) (* -1 (/ (pow x 2) (pow y 2))))) z)
(/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (pow x 3) (pow y 2))) z)
(/ (- (+ (* (/ (pow x 2) y) (sqrt z)) (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (pow y 2)))) z)
(/ (- (+ (* (/ (pow x 2) y) (sqrt z)) (/ (pow x 5) (* (pow y 4) z))) (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (pow y 2))))) z)
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* y (sqrt z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))) z)))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (sqrt z))
(+ (* -1 (sqrt z)) (* -1 (/ x (* y (pow (sqrt -1) 2)))))
(+ (* -1 (sqrt z)) (* -1 (/ (+ (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt z)) (/ (* x z) (* y (pow (sqrt -1) 2)))) z)))
(+ (* -1 (sqrt z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 3) (pow (sqrt -1) 4)))) z)) (/ (* x z) (* y (pow (sqrt -1) 2)))) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* -1 (* (/ x y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* (/ x y) (sqrt z)) (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ x y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ x y) (sqrt z))) z))
(* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (pow x 3) (* (pow y 2) (pow (sqrt -1) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ (pow x 2) y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 5) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ (pow x 2) y) (sqrt z))) z))

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	y	@	0	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* z y) (- (* (sqrt z) y) x)) (sqrt (/ 1 z)) (sqrt y) (/ x (- (* (sqrt z) y) x)) (* x (/ x (- (* (sqrt z) y) x))))
7.0ms	y	@	-inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* z y) (- (* (sqrt z) y) x)) (sqrt (/ 1 z)) (sqrt y) (/ x (- (* (sqrt z) y) x)) (* x (/ x (- (* (sqrt z) y) x))))
7.0ms	z	@	-inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* z y) (- (* (sqrt z) y) x)) (sqrt (/ 1 z)) (sqrt y) (/ x (- (* (sqrt z) y) x)) (* x (/ x (- (* (sqrt z) y) x))))
5.0ms	z	@	inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* z y) (- (* (sqrt z) y) x)) (sqrt (/ 1 z)) (sqrt y) (/ x (- (* (sqrt z) y) x)) (* x (/ x (- (* (sqrt z) y) x))))
4.0ms	z	@	0	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* z y) (- (* (sqrt z) y) x)) (sqrt (/ 1 z)) (sqrt y) (/ x (- (* (sqrt z) y) x)) (* x (/ x (- (* (sqrt z) y) x))))

simplify195.0ms (3.3%)

Memory

10.1MiB live, 193.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	768	3914
1	2786	3501
0	9207	3344

Stop Event

1×	iter limit
1×	node limit

Counts

159 → 158

Calls

Call 1

Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ (* x (+ 1 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(+ (* x (+ 1 (* x (- (+ (* 2 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z)))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z))))))))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* x (+ (* 1/2 (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))) (/ x (* (pow y 2) z)))))))
(sqrt z)
(+ (sqrt z) (/ x y))
(+ (sqrt z) (* x (+ (* (/ x (pow y 2)) (sqrt (/ 1 z))) (/ 1 y))))
(+ (sqrt z) (* x (+ (* x (- (/ x (* (pow y 3) z)) (* -1 (* (/ 1 (pow y 2)) (sqrt (/ 1 z)))))) (/ 1 y))))
(* (/ x y) (sqrt (/ 1 z)))
(* x (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z))))
(* x (+ (* x (+ (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(* x (+ (* x (+ (* x (- (/ x (* (pow y 4) (pow z 2))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(* (/ (pow x 2) y) (sqrt (/ 1 z)))
(* (pow x 2) (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z))))
(* (pow x 2) (+ (* x (+ (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(* (pow x 2) (+ (* x (+ (* x (- (/ x (* (pow y 4) (pow z 2))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 x)
(* x (- (* -1 (* (/ y x) (sqrt z))) 1))
(* x (- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(* x (- (+ (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(* -1/2 x)
(* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))
(* x (- (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) 1/2))
(* x (- (+ (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))))) 1/2))
(* -1 (/ (* y z) x))
(/ (+ (* -1 (* y z)) (* -1 (* (/ (pow y 2) x) (sqrt (pow z 3))))) x)
(/ (- (+ (* -1 (* y z)) (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 2)))) (* (/ (pow y 2) x) (sqrt (pow z 3)))) x)
(/ (- (+ (* -1 (* y z)) (* -1 (* (/ (pow y 4) (pow x 3)) (sqrt (pow z 5))))) (+ (* (/ (pow y 2) x) (sqrt (pow z 3))) (/ (* (pow y 3) (pow z 2)) (pow x 2)))) x)
-1
(- (* -1 (* (/ y x) (sqrt z))) 1)
(- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (* (/ y x) (sqrt z))))
(- (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2)))))
(* x (- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (* (/ y x) (sqrt z)))))
(* x (- (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (+ 1 (* (/ y x) (sqrt z)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* (pow y 2) z)) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(* -1 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x))) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* (pow y 2) z) (* -1 (* (pow y 2) z)))) (* (/ (pow y 3) x) (sqrt (pow z 3)))) x)) (* -1/2 (* y (sqrt z)))) x)))))
(* -1 (/ (+ (* y z) (* (/ (pow y 2) x) (sqrt (pow z 3)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 2)) x)) (* (pow y 2) (sqrt (pow z 3)))) x)) (* y z)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 4) x) (sqrt (pow z 5))) (* -1 (* (pow y 3) (pow z 2)))) x)) (* (pow y 2) (sqrt (pow z 3)))) x)) (* y z)) x))
(- (* -1 (/ (- (/ (* (pow y 2) z) x) (* -1 (* y (sqrt z)))) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* (pow y 2) z)) x)) (* -1 (* y (sqrt z)))) x)) 1)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y (sqrt z))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(* y z)
(sqrt (* y z))
(+ (* -1 x) (* -1 (* y (sqrt z))))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ z x)) (/ z x))) (sqrt z))))
(+ (* -1 x) (* y (- (* y (- (+ (* -2 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* -1 (/ z x))) (/ z x))) (sqrt z))))
(+ (* -1/2 x) (* -1/2 (* y (sqrt z))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* 1/2 (* y (- (* -1 (/ z x)) (/ z x)))))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* y (+ (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* 1/2 (- (* -1 (/ z x)) (/ z x))))))))
(* y (+ (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* -1 (/ z x))))
(* y (+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y (pow z 2)) (pow x 3))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))))
(* y (+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 5)))) (/ (pow z 2) (pow x 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))))
(sqrt y)
(- (* y (- (* -1 (/ (* y z) (pow x 2))) (* (/ 1 x) (sqrt z)))) 1)
(- (* y (- (* y (- (* -1 (* (/ y (pow x 3)) (sqrt (pow z 3)))) (/ z (pow x 2)))) (* (/ 1 x) (sqrt z)))) 1)
(+ (* -1 x) (* y (- (* -1 (/ (* y z) x)) (sqrt z))))
(+ (* -1 x) (* y (- (* y (- (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (/ z x))) (sqrt z))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (- (+ (sqrt z) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))))
(* y (- (+ (sqrt z) (+ (* 2 (/ (pow x 3) (* (pow y 3) z))) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))) (/ (pow x 3) (* (pow y 3) z))))))
(- (+ (sqrt z) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))
(- (+ (sqrt z) (/ (pow x 3) (* (pow y 3) z))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y))))
(/ (+ (* x (sqrt (/ 1 z))) (/ (pow x 2) (* y z))) y)
(/ (- (+ (* x (sqrt (/ 1 z))) (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* -1 (/ (pow x 2) (* y z)))) y)
(/ (- (+ (* x (sqrt (/ 1 z))) (/ (pow x 4) (* (pow y 3) (pow z 2)))) (+ (* -1 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* -1 (/ (pow x 2) (* y z))))) y)
(/ (+ (* (pow x 2) (sqrt (/ 1 z))) (/ (pow x 3) (* y z))) y)
(/ (- (+ (* (/ (pow x 4) (pow y 2)) (sqrt (/ 1 (pow z 3)))) (* (pow x 2) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (* y z)))) y)
(/ (- (+ (* (pow x 2) (sqrt (/ 1 z))) (/ (pow x 5) (* (pow y 3) (pow z 2)))) (+ (* -1 (* (/ (pow x 4) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* -1 (/ (pow x 3) (* y z))))) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow x 3) (* y z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (* y z))) (* 1/2 (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(+ (sqrt z) (* -1 (/ (+ (* -1 x) (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))) y)))
(+ (sqrt z) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* (pow x 2) (sqrt (/ 1 z))) (/ (pow x 3) (* y z))) y))) y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (/ (pow x 2) (* y z)))) y))
(* -1 (/ (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3)))) (* -1 (/ (pow x 2) z))) y))) y))
(* -1 (/ (+ (* -1 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 4) (* y (pow z 2)))) (* (pow x 3) (sqrt (/ 1 (pow z 3))))) y)) (* -1 (/ (pow x 2) z))) y))) y))
(* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (* y z)))) y))
(* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* -1 (/ (- (* (/ (pow x 4) y) (sqrt (/ 1 (pow z 3)))) (* -1 (/ (pow x 3) z))) y))) y))
(* -1 (/ (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 5) (* y (pow z 2)))) (* (pow x 4) (sqrt (/ 1 (pow z 3))))) y)) (* -1 (/ (pow x 3) z))) y))) y))
(* 1/2 (sqrt z))
(* 1/2 (+ x (* y (sqrt z))))
(/ (pow x 2) (- (* y (sqrt z)) x))
(+ (/ (* (pow y 2) z) (- (* y (sqrt z)) x)) (/ (pow x 2) (- (* y (sqrt z)) x)))
(* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))) (* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x))))
(/ (* y z) (- (* y (sqrt z)) x))
(sqrt (/ 1 z))
(/ x (- (* y (sqrt z)) x))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(- (+ (* y (sqrt z)) (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* -1 x))
(- (+ (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* y (sqrt z)) (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (* -1 x))
(- (+ (* -1 (/ (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2)))) (pow z 3))) (+ (* y (sqrt z)) (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (+ (* -1 x) (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (* (pow y 2) z))))))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z))))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2)))) (pow z 3))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))))
(/ (+ (* (/ x y) (sqrt z)) (/ (pow x 2) (pow y 2))) z)
(/ (- (+ (* (/ x y) (sqrt z)) (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z)))) (* -1 (/ (pow x 2) (pow y 2)))) z)
(/ (- (+ (* (/ x y) (sqrt z)) (/ (pow x 4) (* (pow y 4) z))) (+ (* -1 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z)))) (* -1 (/ (pow x 2) (pow y 2))))) z)
(/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (pow x 3) (pow y 2))) z)
(/ (- (+ (* (/ (pow x 2) y) (sqrt z)) (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (pow y 2)))) z)
(/ (- (+ (* (/ (pow x 2) y) (sqrt z)) (/ (pow x 5) (* (pow y 4) z))) (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 z)))) (* -1 (/ (pow x 3) (pow y 2))))) z)
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* y (sqrt z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))) z)))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (sqrt z))
(+ (* -1 (sqrt z)) (* -1 (/ x (* y (pow (sqrt -1) 2)))))
(+ (* -1 (sqrt z)) (* -1 (/ (+ (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt z)) (/ (* x z) (* y (pow (sqrt -1) 2)))) z)))
(+ (* -1 (sqrt z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 3) (pow (sqrt -1) 4)))) z)) (/ (* x z) (* y (pow (sqrt -1) 2)))) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* -1 (* (/ x y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* (/ x y) (sqrt z)) (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ x y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ x y) (sqrt z))) z))
(* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (pow x 3) (* (pow y 2) (pow (sqrt -1) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ (pow x 2) y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 5) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ (pow x 2) y) (sqrt z))) z))

Outputs
(* 1/2 (* y (sqrt z)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ (* x (+ 1 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y (fma.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) x))
(+ (* x (+ 1 (* x (- (+ (* 2 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z)))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y (fma.f64 (.f64 x x) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) x))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z))))))))))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) #s(literal 1/2 binary64)) x))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* x (+ (* 1/2 (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))) (/ x (* (pow y 2) z)))))))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) #s(literal 1/2 binary64) (/.f64 x (.f64 (*.f64 y y) z))) x #s(literal 1/2 binary64)) x))
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (/ x y))
(+.f64 (/.f64 x y) (sqrt.f64 z))
(+ (sqrt z) (* x (+ (* (/ x (pow y 2)) (sqrt (/ 1 z))) (/ 1 y))))
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)) x (sqrt.f64 z))
(+ (sqrt z) (* x (+ (* x (- (/ x (* (pow y 3) z)) (* -1 (* (/ 1 (pow y 2)) (sqrt (/ 1 z)))))) (/ 1 y))))
(fma.f64 (fma.f64 (+.f64 (/.f64 x (.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x (sqrt.f64 z))
(* (/ x y) (sqrt (/ 1 z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* x (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z))))
(.f64 (+.f64 (/.f64 x (.f64 (*.f64 y y) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) x)
(* x (+ (* x (+ (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) z)) x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) x)
(* x (+ (* x (+ (* x (- (/ x (* (pow y 4) (pow z 2))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (.f64 z z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z)) x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) x)
(* (/ (pow x 2) y) (sqrt (/ 1 z)))
(.f64 (/.f64 (.f64 x x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (pow x 2) (+ (* (/ 1 y) (sqrt (/ 1 z))) (/ x (* (pow y 2) z))))
(.f64 (.f64 x x) (+.f64 (/.f64 x (.f64 (.f64 y y) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(* (pow x 2) (+ (* x (+ (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z)) x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(* (pow x 2) (+ (* x (+ (* x (- (/ x (* (pow y 4) (pow z 2))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (.f64 z z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) z)) x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 (* (/ y x) (sqrt z))) 1))
(.f64 (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 1 binary64)) x)
(* x (- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(.f64 (-.f64 (.f64 (.f64 (neg.f64 y) y) (/.f64 z (.f64 x x))) (fma.f64 (/.f64 z x) (/.f64 (*.f64 y y) x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))) x)
(* x (- (+ (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 z x) (/.f64 (.f64 y y) x) (fma.f64 (/.f64 z x) (/.f64 (*.f64 y y) x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))))) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x)
(* x (- (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) 1/2))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) (/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) z))) (*.f64 x x)))) #s(literal 1/2 binary64)) x)
(* x (- (+ (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))))) 1/2))
(.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) (/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) z))) (*.f64 x x)))) #s(literal 1/2 binary64))) x)
(* -1 (/ (* y z) x))
(*.f64 (neg.f64 y) (/.f64 z x))
(/ (+ (* -1 (* y z)) (* -1 (* (/ (pow y 2) x) (sqrt (pow z 3))))) x)
(/.f64 (fma.f64 (/.f64 (.f64 y y) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 y z)) (neg.f64 x))
(/ (- (+ (* -1 (* y z)) (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 2)))) (* (/ (pow y 2) x) (sqrt (pow z 3)))) x)
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (.f64 z z) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 y z))) (.f64 (/.f64 (.f64 y y) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) x)
(/ (- (+ (* -1 (* y z)) (* -1 (* (/ (pow y 4) (pow x 3)) (sqrt (pow z 5))))) (+ (* (/ (pow y 2) x) (sqrt (pow z 3))) (/ (* (pow y 3) (pow z 2)) (pow x 2)))) x)
(/.f64 (-.f64 (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 5 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 y z))) (fma.f64 (/.f64 (.f64 z z) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 (/.f64 (.f64 y y) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))) x)
-1
#s(literal -1 binary64)
(- (* -1 (* (/ y x) (sqrt z))) 1)
(-.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 1 binary64))
(- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (* (/ y x) (sqrt z))))
(-.f64 (.f64 (.f64 (neg.f64 y) y) (/.f64 z (*.f64 x x))) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(- (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2)))))
(-.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 z x) (/.f64 (.f64 y y) x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))))
(* x (- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (* (/ y x) (sqrt z)))))
(.f64 (-.f64 (.f64 (.f64 (neg.f64 y) y) (/.f64 z (.f64 x x))) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) x)
(* x (- (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 z x) (/.f64 (*.f64 y y) x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))) x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(.f64 (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (+ 1 (* (/ y x) (sqrt z)))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) z)) (neg.f64 x)) (.f64 (sqrt.f64 z) y)) (neg.f64 x)) x x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* (pow y 2) z)) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) z))) (neg.f64 x)) (.f64 (sqrt.f64 z) y)) x)) (neg.f64 x))
(* -1 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x))) x)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y (/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) z)) x))) x)) (neg.f64 x))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* (pow y 2) z) (* -1 (* (pow y 2) z)))) (* (/ (pow y 3) x) (sqrt (pow z 3)))) x)) (* -1/2 (* y (sqrt z)))) x)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64))) (neg.f64 x))) x)) (neg.f64 x))
(* -1 (/ (+ (* y z) (* (/ (pow y 2) x) (sqrt (pow z 3)))) x))
(/.f64 (fma.f64 (/.f64 (.f64 y y) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 y z)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 2)) x)) (* (pow y 2) (sqrt (pow z 3)))) x)) (* y z)) x))
(/.f64 (fma.f64 y z (/.f64 (-.f64 (/.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) z) (neg.f64 x)) (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 y y))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 4) x) (sqrt (pow z 5))) (* -1 (* (pow y 3) (pow z 2)))) x)) (* (pow y 2) (sqrt (pow z 3)))) x)) (* y z)) x))
(/.f64 (fma.f64 y z (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 5 binary64))) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) z) z)) (neg.f64 x)) (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 y y))) (neg.f64 x))) (neg.f64 x))
(- (* -1 (/ (- (/ (* (pow y 2) z) x) (* -1 (* y (sqrt z)))) x)) 1)
(-.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 z x) (.f64 (sqrt.f64 z) y)) (neg.f64 x)) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* (pow y 2) z)) x)) (* -1 (* y (sqrt z)))) x)) 1)
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) z))) (neg.f64 x)) (*.f64 (sqrt.f64 z) y))) x) #s(literal 1 binary64))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y (sqrt z))) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) (/.f64 z x) (*.f64 (sqrt.f64 z) y)) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 (.f64 y y) z)) (neg.f64 x)) (.f64 (sqrt.f64 z) y)) x)) (neg.f64 x))
(* y z)
(*.f64 y z)
(sqrt (* y z))
(sqrt.f64 (*.f64 y z))
(+ (* -1 x) (* -1 (* y (sqrt z))))
(neg.f64 (fma.f64 (sqrt.f64 z) y x))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ z x)) (/ z x))) (sqrt z))))
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 z (neg.f64 x)) (/.f64 z x)) y) (sqrt.f64 z)) y (neg.f64 x))
(+ (* -1 x) (* y (- (* y (- (+ (* -2 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* -1 (/ z x))) (/ z x))) (sqrt z))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x x))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 z (neg.f64 x)) (/.f64 z x))) y) (sqrt.f64 z)) y (neg.f64 x))
(+ (* -1/2 x) (* -1/2 (* y (sqrt z))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* 1/2 (* y (- (* -1 (/ z x)) (/ z x)))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 z) (.f64 (-.f64 (/.f64 z (neg.f64 x)) (/.f64 z x)) y))) y (*.f64 #s(literal -1/2 binary64) x))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* y (+ (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* 1/2 (- (* -1 (/ z x)) (/ z x))))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 y (.f64 x x))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 (-.f64 (/.f64 z (neg.f64 x)) (/.f64 z x)) #s(literal 1/2 binary64))) y (.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) y (.f64 #s(literal -1/2 binary64) x))
(* y (+ (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* -1 (/ z x))))
(.f64 (neg.f64 y) (fma.f64 (/.f64 y (.f64 x x)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 z x)))
(* y (+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y (pow z 2)) (pow x 3))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 y z) z) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 x x))) y (/.f64 z (neg.f64 x))) y)
(* y (+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 5)))) (/ (pow z 2) (pow x 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 z #s(literal 5 binary64)))) (/.f64 (.f64 z z) (pow.f64 x #s(literal 3 binary64)))) y (neg.f64 (/.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 x x)))) y (/.f64 z (neg.f64 x))) y)
(sqrt y)
(sqrt.f64 y)
(- (* y (- (* -1 (/ (* y z) (pow x 2))) (* (/ 1 x) (sqrt z)))) 1)
(-.f64 (.f64 (-.f64 (.f64 (/.f64 (neg.f64 y) x) (/.f64 z x)) (/.f64 (sqrt.f64 z) x)) y) #s(literal 1 binary64))
(- (* y (- (* y (- (* -1 (* (/ y (pow x 3)) (sqrt (pow z 3)))) (/ z (pow x 2)))) (* (/ 1 x) (sqrt z)))) 1)
(-.f64 (.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 z (*.f64 x x))) y (neg.f64 (/.f64 (sqrt.f64 z) x))) y) #s(literal 1 binary64))
(+ (* -1 x) (* y (- (* -1 (/ (* y z) x)) (sqrt z))))
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(*.f64 (neg.f64 z) (neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 x) z)))
(* -1 (* y (sqrt z)))
(*.f64 (neg.f64 y) (sqrt.f64 z))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (.f64 x z) #s(literal -1 binary64))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (fma.f64 x (/.f64 z #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 (/.f64 (.f64 (neg.f64 x) x) y)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 z (.f64 (neg.f64 y) y)))) (neg.f64 z)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (fma.f64 x (/.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 (.f64 x x) y) (/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (/.f64 z (.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) z))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 z (*.f64 y y)))) (neg.f64 z)))) z)))
(* -1/2 (* y (sqrt z)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))) z)))
(.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (*.f64 x z) #s(literal -1 binary64))) z)))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (.f64 (neg.f64 x) x) y)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 z (.f64 (neg.f64 y) y)))) z) (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (*.f64 x z) #s(literal -1 binary64))))) (neg.f64 z)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (.f64 x z) #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (/.f64 z (.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) z) (fma.f64 (neg.f64 (/.f64 (.f64 (neg.f64 x) x) y)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 z (.f64 (neg.f64 y) y)))))) (neg.f64 z))) (neg.f64 z)))
(* -1 (sqrt z))
(neg.f64 (sqrt.f64 z))
(+ (* -1 (sqrt z)) (* -1 (/ x (* y (pow (sqrt -1) 2)))))
(-.f64 (/.f64 x y) (sqrt.f64 z))
(+ (* -1 (sqrt z)) (* -1 (/ (+ (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt z)) (/ (* x z) (* y (pow (sqrt -1) 2)))) z)))
(-.f64 (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) (.f64 y y)) (sqrt.f64 z) (*.f64 x (/.f64 z (neg.f64 y)))) (neg.f64 z)) (sqrt.f64 z))
(+ (* -1 (sqrt z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 3) (pow (sqrt -1) 4)))) z)) (/ (* x z) (* y (pow (sqrt -1) 2)))) z)))
(-.f64 (/.f64 (fma.f64 x (/.f64 z (neg.f64 y)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 (.f64 (neg.f64 x) x) (.f64 y y)) (*.f64 (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 z))) (neg.f64 z)) (sqrt.f64 z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (* (/ x y) (sqrt (/ 1 z))))
(*.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* (/ x y) (sqrt z)) (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2)))) z))
(/.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) (/.f64 (.f64 (neg.f64 x) x) (.f64 y y))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ x y) (sqrt z))) z))
(/.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) (/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))) (sqrt.f64 z) (.f64 (.f64 (neg.f64 x) x) (/.f64 z (*.f64 (neg.f64 y) y)))) (neg.f64 z))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ x y) (sqrt z))) z))
(/.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) (neg.f64 z)) (.f64 (.f64 x x) (/.f64 z (.f64 (neg.f64 y) y)))) (neg.f64 z))) (neg.f64 z))
(* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z))))
(.f64 (/.f64 (.f64 (neg.f64 x) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (pow x 3) (* (pow y 2) (pow (sqrt -1) 2)))) z))
(/.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 y y))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ (pow x 2) y) (sqrt z))) z))
(/.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (sqrt.f64 z)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 z (*.f64 (neg.f64 y) y)))) (neg.f64 z))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 5) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* (/ (pow x 2) y) (sqrt z))) z))
(/.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 z) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) (neg.f64 z)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 z (.f64 y y)))) (neg.f64 z))) (neg.f64 z))

rewrite266.0ms (4.4%)

Memory

-33.4MiB live, 289.2MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	179
0	64	177
1	210	158
2	1356	152
0	8988	142

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 1 062

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
(sqrt.f64 z)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 z y)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(sqrt.f64 (*.f64 z y))
(fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt.f64 y)
(/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))
(.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))

Outputs
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x)))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (sqrt.f64 z)) (.f64 y #s(literal 1/2 binary64))) (.f64 (neg.f64 (sqrt.f64 z)) (.f64 y #s(literal 1/2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y (sqrt.f64 z))) (.f64 #s(literal -1/2 binary64) (.f64 y (sqrt.f64 z))))) (fma.f64 x #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))))) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))))) (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (.f64 (.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) x)))))))
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(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (.f64 y (sqrt.f64 z)) (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 x x)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (-.f64 (.f64 y (sqrt.f64 z)) x)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 y z) y))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (.f64 y (sqrt.f64 z)) (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (pow.f64 (.f64 x (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 (.f64 y z) y) (*.f64 x (fma.f64 y (sqrt.f64 z) x)))))
(/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 6 binary64)) (pow.f64 (.f64 x (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y z) y) (.f64 x (fma.f64 y (sqrt.f64 z) x)))))))
(/.f64 (.f64 x (neg.f64 x)) (neg.f64 (-.f64 (.f64 y (sqrt.f64 z)) x)))
(/.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 (.f64 y (sqrt.f64 z)) x)))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (-.f64 (.f64 y (sqrt.f64 z)) x)))
(/.f64 (.f64 x x) (-.f64 (.f64 y (sqrt.f64 z)) x))

eval190.0ms (3.2%)

Memory: -0.5MiB live, 214.6MiB allocated; 41ms collecting garbage
Compiler: Compiled 36 682 to 3 617 computations (90.1% saved)

prune50.0ms (0.8%)

Memory

-4.6MiB live, 101.9MiB allocated; 33ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	866	10	876
Fresh	7	2	9
Picked	2	3	5
Done	0	0	0
Total	875	15	890

Accuracy

100.0%

Counts

890 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
▶	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	25.6%	(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
	37.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x #s(approx (/ x (- (* (sqrt z) y) x)) #s(literal -1 binary64)))))
	36.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (.f64 y (/.f64 z (-.f64 (.f64 y (sqrt.f64 z)) x))) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
	60.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	49.3%	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
▶	83.4%	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
	52.0%	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	2.3%	#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
▶	95.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
✓	95.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	64.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 y z) (/.f64 y (-.f64 (.f64 y (sqrt.f64 z)) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal 1/2 binary64)))
	86.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (* z y) (sqrt (/ 1 z))) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
✓	48.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 571 to 421 computations (26.3% saved)

simplify357.0ms (6%)

Memory

32.3MiB live, 403.9MiB allocated; 124ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
cost-diff	0	(*.f64 z #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
cost-diff	2	(.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
cost-diff	2	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
cost-diff	0	(*.f64 z y)
cost-diff	0	(sqrt.f64 (*.f64 z y))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 (sqrt.f64 z) y x)
cost-diff	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	201
0	70	200
1	142	187
2	340	187
3	878	187
4	2128	185
5	3862	185
6	5375	185
7	6378	185
0	8671	179

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
#s(literal 1/2 binary64)
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
z
y
(sqrt.f64 y)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
(*.f64 z y)
z
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
x
#s(literal 1/2 binary64)
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y
(/.f64 x z)
x

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
(.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y z)) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)) x)
(sqrt.f64 (*.f64 z y))
(sqrt.f64 (*.f64 y z))
(*.f64 z y)
(*.f64 y z)
z
y
(sqrt.f64 y)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
(*.f64 z y)
(*.f64 y z)
z
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
x
#s(literal 1/2 binary64)
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z) x) #s(literal 1/2 binary64)))
(.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 y z) x) #s(literal 1/2 binary64))
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
z
#s(literal 1/2 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y
(/.f64 x z)
x

localize101.0ms (1.7%)

Memory

-14.8MiB live, 175.3MiB allocated; 19ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
accuracy	0.046875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.3203097476055602	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
accuracy	5.711638034678059	(.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	0.20253795983672143	(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
accuracy	0.5186561251779268	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.0625	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
accuracy	0.20253795983672143	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
accuracy	8.373812668573747	(sqrt.f64 (*.f64 z y))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	15.35572808517886	#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.046875	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.20253795983672143	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

Samples

42.0ms	127×	0	invalid
38.0ms	129×	0	valid

Compiler

Compiled 185 to 46 computations (75.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 28.0ms (51.7% of total)

ival-div: 9.0ms (16.6% of total)

ival-add: 8.0ms (14.8% of total)

ival-sqrt: 7.0ms (12.9% of total)

ival-sub: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory

0.0MiB live, 44.5MiB allocated; 9ms collecting garbage

Counts

19 → 72

Calls

Call 1

Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(*.f64 z #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z))))))))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* x (+ (* 1/2 (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))) (/ x (* (pow y 2) z)))))))
(* -1/2 x)
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))
(* x (- (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) 1/2))
(* x (- (+ (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))))) 1/2))
(/ x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x))) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* (pow y 2) z) (* -1 (* (pow y 2) z)))) (* (/ (pow y 3) x) (sqrt (pow z 3)))) x)) (* -1/2 (* y (sqrt z)))) x)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(+ (* -1/2 x) (* -1/2 (* y (sqrt z))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* 1/2 (* y (- (* -1 (/ z x)) (/ z x)))))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* y (+ (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* 1/2 (- (* -1 (/ z x)) (/ z x))))))))
(sqrt (* y z))
(* y z)
(sqrt y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))) (/ (pow x 3) (* (pow y 3) z))))))
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (* y z))) (* 1/2 (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))) (* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x))))
(* 1/2 z)
(/ (+ x (* y (sqrt z))) z)
(sqrt (/ 1 z))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z))))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2)))) (pow z 3))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))) z)))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt y) (/ 1 (sqrt z)) (sqrt (/ 1 z)))
7.0ms	y	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt y) (/ 1 (sqrt z)) (sqrt (/ 1 z)))
3.0ms	z	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt y) (/ 1 (sqrt z)) (sqrt (/ 1 z)))
2.0ms	y	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt y) (/ 1 (sqrt z)) (sqrt (/ 1 z)))
2.0ms	z	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt y) (/ 1 (sqrt z)) (sqrt (/ 1 z)))

simplify147.0ms (2.5%)

Memory

9.3MiB live, 189.3MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	1300
1	1129	1137
2	4801	1083
0	8412	1027

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z))))))))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* x (+ (* 1/2 (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))) (/ x (* (pow y 2) z)))))))
(* -1/2 x)
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))
(* x (- (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) 1/2))
(* x (- (+ (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))))) 1/2))
(/ x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x))) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* (pow y 2) z) (* -1 (* (pow y 2) z)))) (* (/ (pow y 3) x) (sqrt (pow z 3)))) x)) (* -1/2 (* y (sqrt z)))) x)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(+ (* -1/2 x) (* -1/2 (* y (sqrt z))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* 1/2 (* y (- (* -1 (/ z x)) (/ z x)))))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* y (+ (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* 1/2 (- (* -1 (/ z x)) (/ z x))))))))
(sqrt (* y z))
(* y z)
(sqrt y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))) (/ (pow x 3) (* (pow y 3) z))))))
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (* y z))) (* 1/2 (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))) (* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x))))
(* 1/2 z)
(/ (+ x (* y (sqrt z))) z)
(sqrt (/ 1 z))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z))))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2)))) (pow z 3))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))) z)))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))

Outputs
(* 1/2 (* y (sqrt z)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z))))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) (.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* x (+ (* 1/2 (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))) (/ x (* (pow y 2) z)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) #s(literal 1/2 binary64) (/.f64 x (.f64 (*.f64 y y) z))) x #s(literal 1/2 binary64)) x))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* y (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(+ (* y (sqrt (/ 1 z))) (/ x z))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))
(.f64 (-.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x)
(* x (- (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) 1/2))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) z)) x)) x)) #s(literal 1/2 binary64)) x)
(* x (- (+ (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))))) 1/2))
(.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) z)) x)) x)) #s(literal 1/2 binary64))) x)
(/ x z)
(/.f64 x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(fma.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)))
(* -1 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x))) x)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) z)) x)) x) #s(literal -1/2 binary64)) x)
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* (pow y 2) z) (* -1 (* (pow y 2) z)))) (* (/ (pow y 3) x) (sqrt (pow z 3)))) x)) (* -1/2 (* y (sqrt z)))) x)))))
(.f64 (+.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) z)) x)) x)) (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))
(+ (* -1/2 x) (* -1/2 (* y (sqrt z))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* 1/2 (* y (- (* -1 (/ z x)) (/ z x)))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 z) (.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 z x)) y))) y (*.f64 #s(literal -1/2 binary64) x))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* y (+ (* -1 (* (/ y (pow x 2)) (sqrt (pow z 3)))) (* 1/2 (- (* -1 (/ z x)) (/ z x))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 y) (.f64 x x)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 z x)) #s(literal 1/2 binary64))) y (.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) y (.f64 #s(literal -1/2 binary64) x))
(sqrt (* y z))
(sqrt.f64 (*.f64 y z))
(* y z)
(*.f64 y z)
(sqrt y)
(sqrt.f64 y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(* y (+ (sqrt z) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))))))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) y) x) y) (sqrt.f64 z))) y)
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))) (/ (pow x 3) (* (pow y 3) z))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) y) x) y) (sqrt.f64 z)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) z)) y)
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(*.f64 (+.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(*.f64 (fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) y) x) y) (sqrt.f64 z))) y)
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (* y z))) (* 1/2 (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) z) y))) y)) (neg.f64 y))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2))))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(.f64 (.f64 (sqrt.f64 z) #s(literal 1 binary64)) y)
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 y z)) #s(literal 1 binary64))
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(.f64 (.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(sqrt z)
(sqrt.f64 z)
(* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(+ (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))) (* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x))))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) z)) (-.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(/ (+ x (* y (sqrt z))) z)
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))
(.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) z)) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z))))
(fma.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 x z)) z)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 x x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) y)) y) z) z)))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (pow y 2)))) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2)))) (pow z 3))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))))
(fma.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 x z)) z)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 x x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) z) y)) y) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 z z) (pow.f64 x #s(literal 3 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) y)) (.f64 y y))) z)) (*.f64 z z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(* -1/2 (* y (sqrt z)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))) z)))
(.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 z #s(literal -1 binary64)) x (.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z))) z)) #s(literal -1/2 binary64))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 x x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) z) y)) y) z) (fma.f64 (/.f64 z #s(literal -1 binary64)) x (.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z))))) z))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (* (pow x 3) (pow z 2)) (* (pow y 2) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2)))))) z)) (* 1/2 (+ (* (/ (pow x 2) y) (sqrt z)) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (/.f64 (fma.f64 (fma.f64 (/.f64 z #s(literal -1 binary64)) x (.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 z (/.f64 z (.f64 y y))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))) z) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 x x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) y)) y))) z)) (neg.f64 z)))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(.f64 (.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) #s(literal 1/2 binary64)) z)
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))

rewrite282.0ms (4.7%)

Memory

28.3MiB live, 306.8MiB allocated; 101ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	170
0	70	155
1	252	139
2	1717	136
0	8741	135

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

19 → 1 358

Calls

Call 1

Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(*.f64 z #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))

Outputs
(.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y (sqrt.f64 z)) x)))
(.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (-.f64 (.f64 x x) (.f64 (.f64 y z) y)))) (/.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y (sqrt.f64 z)) (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 x x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (.f64 y y) z (*.f64 (neg.f64 x) x)))) (fma.f64 y (sqrt.f64 z) x))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (-.f64 (.f64 x x) (.f64 (.f64 y z) y)))) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (.f64 y (sqrt.f64 z)) (-.f64 (.f64 y (sqrt.f64 z)) x) (.f64 x x))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (fma.f64 (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y)))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (fma.f64 (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 (neg.f64 (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (fma.f64 (.f64 (neg.f64 (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (neg.f64 (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (fma.f64 (.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))))))
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(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)) (.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x z))
(fma.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x z))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(-.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 x z) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) (/.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))))
(-.f64 (/.f64 x z) (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) y))
(-.f64 (/.f64 x z) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))))) (/.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))))))
(+.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)) (.f64 (/.f64 x z) (-.f64 (/.f64 x z) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))) (/.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)) (.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)) (.f64 (/.f64 x z) (-.f64 (/.f64 x z) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)) (.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))) (/.f64 (.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)) (-.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))))
(+.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/4 binary64))) (neg.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 z))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 z))))
(exp.f64 (/.f64 (neg.f64 (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/4 binary64))) (neg.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 z))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 z))))
(exp.f64 (/.f64 (neg.f64 (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))))

eval86.0ms (1.4%)

Memory: 6.2MiB live, 146.9MiB allocated; 28ms collecting garbage
Compiler: Compiled 22 816 to 2 444 computations (89.3% saved)

prune21.0ms (0.3%)

Memory

6.6MiB live, 50.1MiB allocated; 6ms collecting garbage

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	668	6	674
Fresh	4	3	7
Picked	1	4	5
Done	0	3	3
Total	673	16	689

Accuracy

100.0%

Counts

689 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
	64.0%	(.f64 (fma.f64 (.f64 y z) (/.f64 y (-.f64 (.f64 y (sqrt.f64 z)) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal 1/2 binary64))
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	25.6%	(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
	37.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x #s(approx (/ x (- (* (sqrt z) y) x)) #s(literal -1 binary64)))))
	60.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	86.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
▶	52.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	49.3%	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
▶	83.2%	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))))
	45.6%	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
▶	75.2%	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))))
✓	2.3%	#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
✓	95.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
✓	95.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	48.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 555 to 408 computations (26.5% saved)

simplify204.0ms (3.4%)

Memory

-27.5MiB live, 252.0MiB allocated; 82ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))
cost-diff	0	(*.f64 z #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
cost-diff	0	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))))
cost-diff	0	(.f64 (.f64 y z) y)
cost-diff	0	(fma.f64 x x (.f64 (.f64 y z) y))
cost-diff	0	(/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
cost-diff	0	(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
cost-diff	0	(*.f64 z #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
cost-diff	0	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
cost-diff	4	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	408
0	81	412
1	135	412
2	268	406
3	542	406
4	1277	390
5	3089	390
6	5160	390
0	8104	384

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
#s(literal 1/2 binary64)
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))))
(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
y
x
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(fma.f64 x x (.f64 (.f64 y z) y))
x
(.f64 (.f64 y z) y)
(*.f64 y z)
y
z
(-.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))))
(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))
(neg.f64 x)
x
(-.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)

Outputs
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
#s(literal 1/2 binary64)
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
(.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
z
#s(literal 1/2 binary64)
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
y
x
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (sqrt.f64 z) y) x)) (fma.f64 x x (.f64 (.f64 y z) y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(fma.f64 x x (.f64 (.f64 y z) y))
x
(.f64 (.f64 y z) y)
(*.f64 y z)
y
z
(-.f64 (*.f64 y (sqrt.f64 z)) x)
(-.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
(.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
z
#s(literal 1/2 binary64)
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))
(neg.f64 x)
x
(-.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)

localize154.0ms (2.6%)

Memory

32.7MiB live, 326.9MiB allocated; 55ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	2.6722907502263062	(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
accuracy	5.6322685193317525	(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))
accuracy	10.53798162417897	(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
accuracy	0.140625	(.f64 (.f64 y z) y)
accuracy	0.20253795983672143	(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
accuracy	0.21484375	(*.f64 y (sqrt.f64 z))
accuracy	29.637644286471552	(/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
accuracy	0.0	#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
accuracy	0.1328125	(fma.f64 (sqrt.f64 z) y x)
accuracy	6.090361095318107	(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
accuracy	10.53798162417897	(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.20253795983672143	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	0.21484375	(*.f64 (sqrt.f64 z) y)
accuracy	30.386564522574936	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
accuracy	0.20253795983672143	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
accuracy	1.052991085617365	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	7.402891131625208	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)

Samples

125.0ms

256×

valid

Compiler

Compiled 286 to 41 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 70.0ms (72.1% of total)

ival-div: 10.0ms (10.3% of total)

ival-add: 8.0ms (8.2% of total)

ival-sqrt: 4.0ms (4.1% of total)

ival-sub: 2.0ms (2.1% of total)

ival-neg: 2.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series51.0ms (0.8%)

Memory

0.4MiB live, 143.2MiB allocated; 18ms collecting garbage

Counts

25 → 109

Calls

Call 1

Inputs
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))))
(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
(*.f64 z #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(fma.f64 x x (.f64 (.f64 y z) y))
(.f64 (.f64 y z) y)
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))))
(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(fma.f64 (sqrt.f64 z) y x)
(*.f64 y (sqrt.f64 z))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))

Outputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z))))))))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* x (+ (* 1/2 (* (/ (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))))))
(+ (* x (+ 1 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(+ (* x (+ 1 (* x (- (+ (* (/ 1 y) (sqrt (/ 1 z))) (* (/ (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(* (pow y 2) z)
(+ (* (pow y 2) z) (pow x 2))
(* -1 (* (/ y x) (sqrt (/ 1 z))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
1
(+ 1 (* (/ y x) (sqrt z)))
(/ x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* -1/2 x)
(* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))
(* x (- (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) 1/2))
(* x (- (+ (* -1/2 (* (/ y x) (sqrt z))) (+ (* 1/2 (* (/ (* y (- (* -1 (* (pow y 2) z)) (* (pow y 2) z))) (pow x 3)) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))))) 1/2))
(* -1 x)
(* x (- (* -1 (* (/ y x) (sqrt z))) 1))
(* x (- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(* x (- (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ (* y (- (* -1 (* (pow y 2) z)) (* (pow y 2) z))) (pow x 3)) (sqrt z))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (* (pow y 2) z) (pow x 2))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(* -1 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x))) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* y (- (* (pow y 2) z) (* -1 (* (pow y 2) z)))) x) (sqrt z))) (* 1/2 (- (* (pow y 2) z) (* -1 (* (pow y 2) z))))) x)) (* -1/2 (* y (sqrt z)))) x)))))
(* -1 (* x (+ 1 (* (/ y x) (sqrt z)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* (/ (* y (- (* (pow y 2) z) (* -1 (* (pow y 2) z)))) x) (sqrt z)) (* (pow y 2) z)) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(+ (* -1/2 x) (* -1/2 (* y (sqrt z))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* 1/2 (* y (- (* -1 (/ z x)) (/ z x)))))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* y (+ (* 1/2 (* (/ (* y (- (* -1 (/ z x)) (/ z x))) x) (sqrt z))) (* 1/2 (- (* -1 (/ z x)) (/ z x))))))))
(+ (* -1 x) (* -1 (* y (sqrt z))))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ z x)) (/ z x))) (sqrt z))))
(+ (* -1 x) (* y (- (* y (- (+ (* -1 (/ z x)) (* (/ (* y (- (* -1 (/ z x)) (/ z x))) x) (sqrt z))) (/ z x))) (sqrt z))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (* (/ (* x (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt (/ 1 z)))) (+ (* 1/2 (/ x y)) (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2)))))))
(* y (- (+ (sqrt z) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))))
(* y (- (+ (sqrt z) (+ (* (/ (* x (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt (/ 1 z))) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))))
(* (pow y 2) (+ z (/ (pow x 2) (pow y 2))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z))))) y) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* -1 x)) y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* 1/2 z)
(/ (+ x (* y (sqrt z))) z)
(* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))) (* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x))))
(/ (pow x 2) (- (* y (sqrt z)) x))
(+ (/ (* (pow y 2) z) (- (* y (sqrt z)) x)) (/ (pow x 2) (- (* y (sqrt z)) x)))
(* -1 (/ (* x (- (* -1 (* (/ y x) (sqrt z))) 1)) z))
(sqrt (/ 1 z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))))
(- (+ (* y (sqrt z)) (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* -1 x))
(- (+ (* y (sqrt z)) (+ (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))) (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (* -1 x))
(- (+ (* y (sqrt z)) (+ (* (/ (pow x 2) y) (sqrt (/ 1 z))) (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) (* (pow y 2) (pow z 2))))) (+ (* -1 x) (* -1 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))))))
(* z (+ (/ (pow x 2) z) (pow y 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* y (sqrt z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z)))) z)) (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* -1 (pow y 2)))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))
(+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ (+ (* x x) (* (* y z) y)) (- (* y (sqrt z)) x)) 1/2) (/ (+ (* x x) (* (* y z) y)) (- (* y (sqrt z)) x)) (+ (* x x) (* (* y z) y)) (* (* y z) y) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* y (sqrt z)) (* (neg x) (- (* (/ (neg y) x) (sqrt (/ 1 z))) (/ 1 z))) (* (/ (neg y) x) (sqrt (/ 1 z))) (sqrt (/ 1 z)))
6.0ms	z	@	0	((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ (+ (* x x) (* (* y z) y)) (- (* y (sqrt z)) x)) 1/2) (/ (+ (* x x) (* (* y z) y)) (- (* y (sqrt z)) x)) (+ (* x x) (* (* y z) y)) (* (* y z) y) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* y (sqrt z)) (* (neg x) (- (* (/ (neg y) x) (sqrt (/ 1 z))) (/ 1 z))) (* (/ (neg y) x) (sqrt (/ 1 z))) (sqrt (/ 1 z)))
6.0ms	x	@	-inf	((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ (+ (* x x) (* (* y z) y)) (- (* y (sqrt z)) x)) 1/2) (/ (+ (* x x) (* (* y z) y)) (- (* y (sqrt z)) x)) (+ (* x x) (* (* y z) y)) (* (* y z) y) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* y (sqrt z)) (* (neg x) (- (* (/ (neg y) x) (sqrt (/ 1 z))) (/ 1 z))) (* (/ (neg y) x) (sqrt (/ 1 z))) (sqrt (/ 1 z)))
5.0ms	y	@	0	((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ (+ (* x x) (* (* y z) y)) (- (* y (sqrt z)) x)) 1/2) (/ (+ (* x x) (* (* y z) y)) (- (* y (sqrt z)) x)) (+ (* x x) (* (* y z) y)) (* (* y z) y) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* y (sqrt z)) (* (neg x) (- (* (/ (neg y) x) (sqrt (/ 1 z))) (/ 1 z))) (* (/ (neg y) x) (sqrt (/ 1 z))) (sqrt (/ 1 z)))
4.0ms	z	@	inf	((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (/ (+ (* x x) (* (* y z) y)) (- (* y (sqrt z)) x)) 1/2) (/ (+ (* x x) (* (* y z) y)) (- (* y (sqrt z)) x)) (+ (* x x) (* (* y z) y)) (* (* y z) y) (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (* z 1/2) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* y (sqrt z)) (* (neg x) (- (* (/ (neg y) x) (sqrt (/ 1 z))) (/ 1 z))) (* (/ (neg y) x) (sqrt (/ 1 z))) (sqrt (/ 1 z)))

simplify183.0ms (3.1%)

Memory

-10.5MiB live, 275.5MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	420	2344
1	1583	1974
2	6541	1952
0	8223	1859

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 108

Calls

Call 1

Inputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z))))))))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* x (+ (* 1/2 (* (/ (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))))))
(+ (* x (+ 1 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(+ (* x (+ 1 (* x (- (+ (* (/ 1 y) (sqrt (/ 1 z))) (* (/ (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ 1 y) (sqrt (/ 1 z)))))))) (* y (sqrt z)))
(* (pow y 2) z)
(+ (* (pow y 2) z) (pow x 2))
(* -1 (* (/ y x) (sqrt (/ 1 z))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
1
(+ 1 (* (/ y x) (sqrt z)))
(/ x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* -1/2 x)
(* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))
(* x (- (+ (* -1/2 (* (/ y x) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2)))) 1/2))
(* x (- (+ (* -1/2 (* (/ y x) (sqrt z))) (+ (* 1/2 (* (/ (* y (- (* -1 (* (pow y 2) z)) (* (pow y 2) z))) (pow x 3)) (sqrt z))) (* 1/2 (/ (- (* -1 (* (pow y 2) z)) (* (pow y 2) z)) (pow x 2))))) 1/2))
(* -1 x)
(* x (- (* -1 (* (/ y x) (sqrt z))) 1))
(* x (- (* -1 (/ (* (pow y 2) z) (pow x 2))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(* x (- (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ (* y (- (* -1 (* (pow y 2) z)) (* (pow y 2) z))) (pow x 3)) (sqrt z))) (+ 1 (+ (* (/ y x) (sqrt z)) (/ (* (pow y 2) z) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (* (pow y 2) z) (pow x 2))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(* -1 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x))) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* y (- (* (pow y 2) z) (* -1 (* (pow y 2) z)))) x) (sqrt z))) (* 1/2 (- (* (pow y 2) z) (* -1 (* (pow y 2) z))))) x)) (* -1/2 (* y (sqrt z)))) x)))))
(* -1 (* x (+ 1 (* (/ y x) (sqrt z)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* (pow y 2) z) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* (/ (* y (- (* (pow y 2) z) (* -1 (* (pow y 2) z)))) x) (sqrt z)) (* (pow y 2) z)) (* -1 (* (pow y 2) z))) x)) (* y (sqrt z))) x)))))
(+ (* -1/2 x) (* -1/2 (* y (sqrt z))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* 1/2 (* y (- (* -1 (/ z x)) (/ z x)))))))
(+ (* -1/2 x) (* y (+ (* -1/2 (sqrt z)) (* y (+ (* 1/2 (* (/ (* y (- (* -1 (/ z x)) (/ z x))) x) (sqrt z))) (* 1/2 (- (* -1 (/ z x)) (/ z x))))))))
(+ (* -1 x) (* -1 (* y (sqrt z))))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ z x)) (/ z x))) (sqrt z))))
(+ (* -1 x) (* y (- (* y (- (+ (* -1 (/ z x)) (* (/ (* y (- (* -1 (/ z x)) (/ z x))) x) (sqrt z))) (/ z x))) (sqrt z))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (/ x y)) (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2))))))
(* y (+ (* 1/2 (sqrt z)) (+ (* 1/2 (* (/ (* x (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt (/ 1 z)))) (+ (* 1/2 (/ x y)) (* 1/2 (/ (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z))))) (pow y 2)))))))
(* y (- (+ (sqrt z) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))))
(* y (- (+ (sqrt z) (+ (* (/ (* x (- (* (pow x 2) (sqrt (/ 1 z))) (* -1 (* (pow x 2) (sqrt (/ 1 z)))))) (pow y 3)) (sqrt (/ 1 z))) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* -1 (/ x y)))))
(* (pow y 2) (+ z (/ (pow x 2) (pow y 2))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))))) y)) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (pow x 2) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z))))) y) (sqrt (/ 1 z)))) (* (pow x 2) (sqrt (/ 1 z)))) y)) (* -1 x)) y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* 1/2 z)
(/ (+ x (* y (sqrt z))) z)
(* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))) (* 1/2 (/ (pow x 2) (- (* y (sqrt z)) x))))
(/ (pow x 2) (- (* y (sqrt z)) x))
(+ (/ (* (pow y 2) z) (- (* y (sqrt z)) x)) (/ (pow x 2) (- (* y (sqrt z)) x)))
(* -1 (/ (* x (- (* -1 (* (/ y x) (sqrt z))) 1)) z))
(sqrt (/ 1 z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z))) z)))))
(- (+ (* y (sqrt z)) (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* -1 x))
(- (+ (* y (sqrt z)) (+ (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))) (* (/ (pow x 2) y) (sqrt (/ 1 z))))) (* -1 x))
(- (+ (* y (sqrt z)) (+ (* (/ (pow x 2) y) (sqrt (/ 1 z))) (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) (* (pow y 2) (pow z 2))))) (+ (* -1 x) (* -1 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))))))
(* z (+ (/ (pow x 2) z) (pow y 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* y (sqrt z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z)))) z)) (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* -1 (pow y 2)))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))
(+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))

Outputs
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 (* y (sqrt z)))
(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* (/ y x) (sqrt z))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/ (+ x (* y (sqrt z))) x)
(/.f64 (fma.f64 (sqrt.f64 z) y x) x)
(* y (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(+ (* y (sqrt (/ 1 z))) (/ x z))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* 1/2 (* x (- (* (/ 1 y) (sqrt (/ 1 z))) (* -1 (* (/ 1 y) (sqrt (/ 1 z))))))))))
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(- (+ (* y (sqrt z)) (+ (* (/ (pow x 2) y) (sqrt (/ 1 z))) (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) (* (pow y 2) (pow z 2))))) (+ (* -1 x) (* -1 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3)))))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 z) y (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 z x)) (.f64 x x)) (.f64 (.f64 (.f64 y y) z) z)))) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 z x)) (/.f64 x y))))
(* z (+ (/ (pow x 2) z) (pow y 2)))
(.f64 (fma.f64 x (/.f64 x z) (.f64 y y)) z)
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 x) z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(.f64 (neg.f64 z) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(.f64 (neg.f64 z) (-.f64 (.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(.f64 (.f64 (neg.f64 z) #s(literal -1/2 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(* -1/2 (* y (sqrt z)))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 (neg.f64 x) z)) z)) #s(literal -1/2 binary64))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 (neg.f64 x) z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 (neg.f64 x) z)))) (neg.f64 z)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (/.f64 (fma.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 (neg.f64 x) z)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 (neg.f64 x) z)) (.f64 (neg.f64 y) y)) (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 (neg.f64 x) z)) (/.f64 x y)) (sqrt.f64 z)))) z)) (neg.f64 z)))
(* -1 (* y (sqrt z)))
(*.f64 (neg.f64 y) (sqrt.f64 z))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 (neg.f64 x) z)) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 x x) (sqrt.f64 z) (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 (neg.f64 x) z)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) y) (.f64 z x)) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow x 2) (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* (/ (pow x 2) y) (sqrt z)) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z)))) z)) (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (-.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 (neg.f64 x) z)) (.f64 (neg.f64 y) y)) (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (.f64 (neg.f64 x) z)) (/.f64 x y)) (sqrt.f64 z)))) z)) (.f64 z x)) z)))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* -1 (pow y 2)))))
(.f64 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 x z) (.f64 y y))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))
(.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))))
(.f64 (/.f64 (.f64 #s(literal 1 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))

rewrite301.0ms (5%)

Memory

-43.4MiB live, 227.4MiB allocated; 130ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	342
0	81	342
1	243	330
2	1498	330
0	8419	322

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

25 → 542

Calls

Call 1

Inputs
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))))
(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)))
(*.f64 z #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(fma.f64 x x (.f64 (.f64 y z) y))
(.f64 (.f64 y z) y)
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))))
(.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(fma.f64 (sqrt.f64 z) y x)
(*.f64 y (sqrt.f64 z))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x) (*.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x))) (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)) (*.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)))) (-.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)) (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z) #s(literal 1 binary64)))) (neg.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 x (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z) #s(literal 1 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)))
(/.f64 (.f64 x (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))
(fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x (.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x))
(fma.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(+.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 z) y) x)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 z) y) x)))) (/.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 z) y) x))))) (.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 z) y) x)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) #s(literal -1 binary64))))
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(fma.f64 (/.f64 y (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 z y) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 (/.f64 y (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 z y) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (sqrt.f64 z) y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (sqrt.f64 z) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 z) y))
(fma.f64 (/.f64 (.f64 (.f64 z y) y) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (fma.f64 (sqrt.f64 z) y x) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 (/.f64 (.f64 (.f64 z y) y) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (fma.f64 (sqrt.f64 z) y x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 (/.f64 (.f64 (.f64 z y) y) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (fma.f64 (sqrt.f64 z) y x) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 z y) y (.f64 x (fma.f64 (sqrt.f64 z) y x))) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(fma.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 z y) y (.f64 x (fma.f64 (sqrt.f64 z) y x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(fma.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 z y) y (.f64 x (fma.f64 (sqrt.f64 z) y x))) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (/.f64 (.f64 (.f64 z y) y) (-.f64 x (*.f64 (sqrt.f64 z) y))))
(-.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x))) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))))
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 z)) y))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 (.f64 z y) y) (.f64 (.f64 (sqrt.f64 z) y) x)))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 (.f64 z y) y) (.f64 (*.f64 (sqrt.f64 z) y) x)))))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 (.f64 z y) y) (.f64 (.f64 (sqrt.f64 z) y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 (.f64 z y) y) (.f64 (*.f64 (sqrt.f64 z) y) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(+.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x))) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(+.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(+.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x))) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(.f64 (-.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) x)) (pow.f64 z #s(literal -1 binary64))) (neg.f64 x))
(.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) x)) (pow.f64 z #s(literal -1 binary64))))
(.f64 x (neg.f64 (-.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) x)) (pow.f64 z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64))) (pow.f64 z #s(literal -2 binary64))) (neg.f64 x))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (pow.f64 z #s(literal -3 binary64))) (neg.f64 x))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 z #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64))) (pow.f64 z #s(literal -2 binary64))))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (pow.f64 z #s(literal -3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 z #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64))) (pow.f64 z #s(literal -2 binary64))) (neg.f64 x)) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (pow.f64 z #s(literal -3 binary64))) (neg.f64 x)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 z #s(literal -2 binary64)))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64))) (pow.f64 z #s(literal -2 binary64)))) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (pow.f64 z #s(literal -3 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 z #s(literal -2 binary64)))))
(neg.f64 (.f64 (-.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) x)) (pow.f64 z #s(literal -1 binary64))) x))
(*.f64 (/.f64 (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 y) x) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (neg.f64 y) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) y)) (neg.f64 (.f64 (sqrt.f64 z) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 x) (sqrt.f64 z))))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (.f64 (sqrt.f64 z) x)))
(/.f64 (neg.f64 (.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (.f64 x (sqrt.f64 z))))
(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (sqrt.f64 z) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) (sqrt.f64 z))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 (neg.f64 x) (sqrt.f64 z)))
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y))) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (sqrt.f64 z) x))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 x (sqrt.f64 z)))
(/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) x)
(/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (neg.f64 x))
(neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x)))
(neg.f64 (*.f64 (/.f64 y x) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/4 binary64))) (neg.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 z))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (/.f64 (neg.f64 (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))))

eval113.0ms (1.9%)

Memory: 18.6MiB live, 159.2MiB allocated; 34ms collecting garbage
Compiler: Compiled 30 066 to 3 356 computations (88.8% saved)

prune66.0ms (1.1%)

Memory

-28.6MiB live, 60.5MiB allocated; 11ms collecting garbage

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	669	5	674
Fresh	1	3	4
Picked	1	4	5
Done	0	7	7
Total	671	19	690

Accuracy

100.0%

Counts

690 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
	38.0%	(.f64 (fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))) #s(literal 1/2 binary64))
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	25.6%	(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
	21.9%	(.f64 (/.f64 #s(approx (+ ( x x) (* (* y z) y)) (.f64 (.f64 y y) z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
	37.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x #s(approx (/ x (- (* (sqrt z) y) x)) #s(literal -1 binary64)))))
	60.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
✓	86.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
✓	52.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
	84.3%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 z (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) x)) #s(literal 1/2 binary64))
	40.6%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)) #s(literal 1/2 binary64))
✓	49.3%	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
✓	83.2%	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))))
	45.6%	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
	70.7%	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z))))))
✓	2.3%	#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
✓	95.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
✓	95.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	48.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 1 230 to 493 computations (59.9% saved)

regimes83.0ms (1.4%)

Memory

10.2MiB live, 200.6MiB allocated; 34ms collecting garbage

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (* z y) (sqrt (/ 1 z))) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(approx (+ ( x x) (* (* y z) y)) (.f64 (.f64 y y) z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (fma.f64 (*.f64 z (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x #s(approx (/ x (- (* (sqrt z) y) x)) #s(literal -1 binary64)))))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z))))))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (.f64 z #s(literal 1/2 binary64)) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))))
(.f64 (fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 y z) (/.f64 y (-.f64 (.f64 y (sqrt.f64 z)) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 y z) (/.f64 y (-.f64 (.f64 y (sqrt.f64 z)) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (.f64 y (/.f64 z (-.f64 (.f64 y (sqrt.f64 z)) x))) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 (.f64 z y) (/.f64 y (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))

Outputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))

Calls

7 calls:

16.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
14.0ms	(*.f64 y (sqrt.f64 z))
13.0ms	y
12.0ms	(sqrt.f64 z)
9.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(sqrt.f64 z)`
99.8%	1	`(*.f64 y (sqrt.f64 z))`
99.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes16.0ms (0.3%)

Memory

37.9MiB live, 37.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

Calls

7 calls:

2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	z
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(sqrt.f64 z)
2.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`(sqrt.f64 z)`
99.5%	1	`(*.f64 y (sqrt.f64 z))`
99.5%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes42.0ms (0.7%)

Memory

0.1MiB live, 46.6MiB allocated; 4ms collecting garbage

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))

Outputs

#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))

#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))

Calls

7 calls:

29.0ms	z
2.0ms	y
2.0ms	(sqrt.f64 z)
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	x

Results

Accuracy	Segments	Branch
62.7%	2	`(sqrt.f64 z)`
80.3%	3	`(*.f64 y (sqrt.f64 z))`
68.5%	7	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
68.5%	7	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
73.6%	3	`x`
77.8%	3	`y`
62.7%	2	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes37.0ms (0.6%)

Memory

-9.2MiB live, 44.0MiB allocated; 8ms collecting garbage

Accuracy

Total -30.2b remaining (-92%)

Threshold costs -30.2b (-92%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Calls

7 calls:

29.0ms	(*.f64 y (sqrt.f64 z))
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	y
1.0ms	(sqrt.f64 z)
1.0ms	z

Results

Accuracy	Segments	Branch
48.7%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
48.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
48.7%	1	`(sqrt.f64 z)`
48.7%	1	`z`
48.7%	1	`x`
48.7%	1	`y`
48.7%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2863705114041117e+23	1.2852716277212142e+25
0.0ms	-3.319479585085552e-40	-5.2076206116467735e-43

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify19.0ms (0.3%)

Memory

2.1MiB live, 47.8MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	70
1	47	70
2	72	70
3	120	70
4	182	70
5	208	70
6	219	70
7	237	70
8	248	70
9	258	70
10	268	70

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1225996432692711/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 399999999999999966445568 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Outputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1225996432692711/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 399999999999999966445568 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (or (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1225996432692711/6129982163463555433433388108601236734474956488734408704 binary64)) (not (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 399999999999999966445568 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

derivations315.0ms (5.2%)

Memory

-49.9MiB live, 296.9MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	169
1	270	169
2	954	169
3	2978	161
4	6480	161
0	8086	148
0	10	21
0	16	21
1	46	21
2	259	21
3	2201	21
0	8582	19

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 76 to 30 computations (60.5% saved)

preprocess26.0ms (0.4%)

Memory: 39.7MiB live, 39.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 172 to 80 computations (53.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	10	26
0	16	26
1	31	26
2	59	26
3	105	26
4	160	26
5	186	26
6	197	26
7	213	26
8	224	26
9	234	26
10	244	26
0	244	24

Iter	Nodes	Cost
0	29	70
1	47	70
2	72	70
3	120	70
4	182	70
5	208	70
6	219	70
7	237	70
8	248	70
9	258	70
10	268	70

Iter	Nodes	Cost
0	10	26
0	16	26
1	31	26
2	59	26
3	105	26
4	160	26
5	186	26
6	197	26
7	213	26
8	224	26
9	234	26
10	244	26
0	244	24

Iter	Nodes	Cost
0	29	70
1	47	70
2	72	70
3	120	70
4	182	70
5	208	70
6	219	70
7	237	70
8	248	70
9	258	70
10	268	70

start0.0ms (0%)

analyze71.0ms (1.2%)

sample1.5s (24.5%)

explain172.0ms (2.9%)

preprocess57.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

localize84.0ms (1.4%)

series8.0ms (0.1%)

simplify138.0ms (2.3%)

rewrite302.0ms (5%)

eval54.0ms (0.9%)

prune18.0ms (0.3%)

simplify112.0ms (1.9%)

localize96.0ms (1.6%)

series76.0ms (1.3%)

simplify195.0ms (3.3%)

rewrite266.0ms (4.4%)

eval190.0ms (3.2%)

prune50.0ms (0.8%)

simplify357.0ms (6%)

localize101.0ms (1.7%)

series30.0ms (0.5%)

simplify147.0ms (2.5%)

rewrite282.0ms (4.7%)

eval86.0ms (1.4%)

prune21.0ms (0.3%)

simplify204.0ms (3.4%)

localize154.0ms (2.6%)

series51.0ms (0.8%)

simplify183.0ms (3.1%)

rewrite301.0ms (5%)

eval113.0ms (1.9%)

prune66.0ms (1.1%)

regimes83.0ms (1.4%)

regimes16.0ms (0.3%)

regimes42.0ms (0.7%)

regimes37.0ms (0.6%)

bsearch1.0ms (0%)

simplify19.0ms (0.3%)

derivations315.0ms (5.2%)

preprocess26.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	26
0	16	26
1	31	26
2	59	26
3	105	26
4	160	26
5	186	26
6	197	26
7	213	26
8	224	26
9	234	26
10	244	26
0	244	24

Iter	Nodes	Cost
0	29	70
1	47	70
2	72	70
3	120	70
4	182	70
5	208	70
6	219	70
7	237	70
8	248	70
9	258	70
10	268	70