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

start0.0ms (0%)

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

analyze141.0ms (7%)

Memory

18.1MiB live, 63.9MiB allocated; 12ms 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)

sample1.1s (54.8%)

Memory

-14.0MiB live, 972.4MiB allocated; 155ms collecting garbage

Samples

591.0ms	8 256×	0	valid
229.0ms	2 114×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 453.0ms

ival-mult!: 234.0ms (51.6% of total)

ival-sqrt: 190.0ms (41.9% of total)

ival-add!: 27.0ms (6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

preprocess60.0ms (3%)

Memory

0.8MiB live, 41.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	83
1	162	81
2	707	81
3	4825	80

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Symmetry

(abs z)

Compiler

Compiled 20 to 20 computations (0% saved)

series12.0ms (0.6%)

Memory

25.2MiB live, 25.2MiB allocated; 0ms collecting garbage

Counts

10 → 25

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
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx y #s(hole binary64 y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
2.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms	z	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms	y	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms	x	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)

rewrite60.0ms (3%)

Memory

-20.3MiB live, 42.4MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	443
0	112	435
1	258	435

Stop Event

1×	saturated
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

35 → 35

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
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx y #s(hole binary64 y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))

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

eval2.0ms (0.1%)

Memory: 5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 266 to 126 computations (52.6% saved)

prune4.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	6	28

Accuracy

100.0%

Counts

28 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	83.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
▶	86.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
▶	90.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))))
▶	49.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))))
▶	51.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 182 to 182 computations (0% saved)

series37.0ms (1.9%)

Memory

16.4MiB live, 61.5MiB allocated; 8ms collecting garbage

Counts

23 → 47

Calls

Call 1

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

Outputs
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (* 1/2 (/ x y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 1/2))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x))
6.0ms	y	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x))
4.0ms	x	@	inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x))
3.0ms	z	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x))
3.0ms	y	@	0	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x))

rewrite34.0ms (1.7%)

Memory

-6.2MiB live, 37.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1044
0	210	1030
1	439	1030

Stop Event

1×	saturated
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

70 → 71

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: 11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 642 to 301 computations (53.1% saved)

prune16.0ms (0.8%)

Memory

-29.5MiB live, 15.0MiB allocated; 10ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	56	9	65

Accuracy

100.0%

Counts

65 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	83.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))))
▶	86.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))))
▶	76.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 y #s(approx (+ ( 1/2 (sqrt z)) (* 1/2 (/ x y))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z))))))))
▶	90.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(approx (+ 1/2 ( 1/2 (* (/ y x) (sqrt z)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))) x))))
	86.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(approx (+ 1/2 ( 1/2 (* (/ y x) (sqrt z)))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))))
▶	40.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(approx (+ 1/2 ( 1/2 (* (/ y x) (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))))
✓	49.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))))
✓	51.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 304 to 294 computations (3.3% saved)

series72.0ms (3.6%)

Memory

13.3MiB live, 115.1MiB allocated; 19ms collecting garbage

Counts

39 → 81

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (sqrt z)))
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (+ (sqrt z) (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 z)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))
#s(approx (* 1/2 (/ x (* y z))) #s(hole binary64 (* 1/2 (/ x (* y z)))))
#s(approx (/ x (* y z)) #s(hole binary64 (/ x (* y z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 1/2))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y)))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y)))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (/ (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) y)))
#s(approx (* y z) #s(hole binary64 (* y z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) #s(hole binary64 (* 1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* 1/2 (/ x (* y z))))))

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	y	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) 1/2 (* 1/2 (* y (sqrt z))) (* y (sqrt z)) y (sqrt z) z (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (+ (sqrt z) (/ x y))) (+ (sqrt z) (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (* 1/2 (/ x (* y z))) (/ x (* y z)) (* y z))
14.0ms	z	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) 1/2 (* 1/2 (* y (sqrt z))) (* y (sqrt z)) y (sqrt z) z (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (+ (sqrt z) (/ x y))) (+ (sqrt z) (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (* 1/2 (/ x (* y z))) (/ x (* y z)) (* y z))
9.0ms	y	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) 1/2 (* 1/2 (* y (sqrt z))) (* y (sqrt z)) y (sqrt z) z (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (+ (sqrt z) (/ x y))) (+ (sqrt z) (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (* 1/2 (/ x (* y z))) (/ x (* y z)) (* y z))
6.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) 1/2 (* 1/2 (* y (sqrt z))) (* y (sqrt z)) y (sqrt z) z (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (+ (sqrt z) (/ x y))) (+ (sqrt z) (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (* 1/2 (/ x (* y z))) (/ x (* y z)) (* y z))
6.0ms	x	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) 1/2 (* 1/2 (* y (sqrt z))) (* y (sqrt z)) y (sqrt z) z (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (+ (sqrt z) (/ x y))) (+ (sqrt z) (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (* 1/2 (/ x (* y z))) (/ x (* y z)) (* y z))

rewrite36.0ms (1.8%)

Memory

3.9MiB live, 49.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	2086
0	320	2052
1	662	2052

Stop Event

1×	saturated
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

120 → 123

Calls

Call 1

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

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

eval13.0ms (0.6%)

Memory: -22.3MiB live, 23.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 214 to 569 computations (53.1% saved)

prune4.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	1	1
Picked	3	2	5
Done	0	3	3
Total	94	8	102

Accuracy

100.0%

Counts

102 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	46.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 z #s(approx (+ ( y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
✓	86.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))))
▶	49.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 y #s(approx (+ ( 1/2 (sqrt z)) (* 1/2 (/ x y))) (.f64 z #s(approx (+ ( 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
▶	86.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(approx (+ 1/2 ( 1/2 (* (/ y x) (sqrt z)))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))))
✓	40.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(approx (+ 1/2 ( 1/2 (* (/ y x) (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))))
✓	49.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))))
✓	51.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 156 to 152 computations (2.6% saved)

series77.0ms (3.8%)

Memory

24.9MiB live, 112.3MiB allocated; 45ms collecting garbage

Counts

26 → 81

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z)))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)))
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt (/ 1 z))))))
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (/ (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) x)))
#s(approx (* (/ y x) (sqrt (/ 1 z))) #s(hole binary64 (* (/ y x) (sqrt (/ 1 z)))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (sqrt z))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 z)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 1/2))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (/ 1/2 z)))
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (* 1/2 (/ x (* y z)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y)))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (/ (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))))
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) z)))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) z)))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) #s(hole binary64 (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) #s(hole binary64 (* -1 (* z (- (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))))))
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (+ (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
#s(approx (* (/ y x) (sqrt (/ 1 z))) #s(hole binary64 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))))
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))))
#s(approx (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) #s(hole binary64 (* 1/2 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))) (* 1/2 (/ x (* y z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z))))
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	y	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) 1/2 (* (/ y x) (sqrt (/ 1 z))) (/ y x) y (sqrt (/ 1 z)) (/ 1 z) 1 (* 1/2 (/ 1 z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (* 1/2 (sqrt (/ 1 z))) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (* y (sqrt (/ 1 z))))
19.0ms	z	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) 1/2 (* (/ y x) (sqrt (/ 1 z))) (/ y x) y (sqrt (/ 1 z)) (/ 1 z) 1 (* 1/2 (/ 1 z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (* 1/2 (sqrt (/ 1 z))) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (* y (sqrt (/ 1 z))))
4.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) 1/2 (* (/ y x) (sqrt (/ 1 z))) (/ y x) y (sqrt (/ 1 z)) (/ 1 z) 1 (* 1/2 (/ 1 z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (* 1/2 (sqrt (/ 1 z))) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (* y (sqrt (/ 1 z))))
4.0ms	y	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) 1/2 (* (/ y x) (sqrt (/ 1 z))) (/ y x) y (sqrt (/ 1 z)) (/ 1 z) 1 (* 1/2 (/ 1 z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (* 1/2 (sqrt (/ 1 z))) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (* y (sqrt (/ 1 z))))
4.0ms	x	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) 1/2 (* (/ y x) (sqrt (/ 1 z))) (/ y x) y (sqrt (/ 1 z)) (/ 1 z) 1 (* 1/2 (/ 1 z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))) (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (* 1/2 (sqrt (/ 1 z))) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (* y (sqrt (/ 1 z))))

rewrite62.0ms (3.1%)

Memory

-7.1MiB live, 82.5MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	2288
0	289	2215
1	639	2215

Stop Event

1×	saturated
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

107 → 108

Calls

Call 1

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

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

eval63.0ms (3.2%)

Memory: -35.0MiB live, 24.4MiB allocated; 23ms collecting garbage
Compiler: Compiled 1 280 to 528 computations (58.8% saved)

prune8.0ms (0.4%)

Memory

32.2MiB live, 32.2MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	84	9	93

Accuracy

100.0%

Counts

93 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	46.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 z #s(approx (+ ( y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
✓	86.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))))
✓	49.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 y #s(approx (+ ( 1/2 (sqrt z)) (* 1/2 (/ x y))) (.f64 z #s(approx (+ ( 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))
	51.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(approx (+ 1/2 ( 1/2 (* (/ y x) (sqrt z)))) (.f64 z #s(approx (+ ( 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (/.f64 #s(literal 1/2 binary64) z))))))
	36.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(approx (+ 1/2 ( 1/2 (* (/ y x) (sqrt z)))) (.f64 z #s(approx (+ ( 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))))
✓	40.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(approx (+ 1/2 ( 1/2 (* (/ y x) (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))))
✓	49.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))))
✓	51.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 396 to 304 computations (23.2% saved)

regimes38.0ms (1.9%)

Memory

-5.5MiB live, 88.6MiB allocated; 7ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	z
6.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
5.0ms	(*.f64 y (sqrt.f64 z))
5.0ms	y

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)

regimes14.0ms (0.7%)

Memory

-19.2MiB live, 26.7MiB allocated; 4ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

#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 y (sqrt.f64 z))))

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

Outputs

#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 y (sqrt.f64 z))))

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

Calls

7 calls:

5.0ms	(*.f64 y (sqrt.f64 z))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	(sqrt.f64 z)
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
64.8%	2	`(sqrt.f64 z)`
75.1%	3	`(*.f64 y (sqrt.f64 z))`
60.2%	4	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
60.2%	4	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
79.2%	3	`x`
74.6%	3	`y`
64.8%	2	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes7.0ms (0.4%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.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:

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

Results

Accuracy	Segments	Branch
51.9%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
51.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
51.9%	1	`(sqrt.f64 z)`
51.9%	1	`z`
51.9%	1	`y`
51.9%	1	`(*.f64 y (sqrt.f64 z))`
51.9%	1	`x`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch93.0ms (4.7%)

Memory

-31.1MiB live, 43.5MiB allocated; 91ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.590242223186958e-110	2.9550545516386145e-100
79.0ms	-6.375827084850956e-38	-1.180257053102654e-42

Samples

12.0ms

288×

valid

Compiler

Compiled 517 to 556 computations (-7.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sqrt: 2.0ms (36% of total)

ival-mult!: 2.0ms (36% of total)

ival-add!: 1.0ms (18% of total)

adjust: 0.0ms (0% of total)

derivations3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 32 to 25 computations (21.9% saved)

preprocess40.0ms (2%)

Memory: 4.3MiB live, 56.7MiB allocated; 15ms collecting garbage
Remove: (abs z)
Compiler: Compiled 140 to 123 computations (12.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze141.0ms (7%)

sample1.1s (54.8%)

preprocess60.0ms (3%)

series12.0ms (0.6%)

rewrite60.0ms (3%)

eval2.0ms (0.1%)

prune4.0ms (0.2%)

series37.0ms (1.9%)

rewrite34.0ms (1.7%)

eval5.0ms (0.2%)

prune16.0ms (0.8%)

series72.0ms (3.6%)

rewrite36.0ms (1.8%)

eval13.0ms (0.6%)

prune4.0ms (0.2%)

series77.0ms (3.8%)

rewrite62.0ms (3.1%)

eval63.0ms (3.2%)

prune8.0ms (0.4%)

regimes38.0ms (1.9%)

regimes14.0ms (0.7%)

regimes7.0ms (0.4%)

bsearch93.0ms (4.7%)

derivations3.0ms (0.1%)

preprocess40.0ms (2%)

end0.0ms (0%)

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