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

analyze58.0ms (1.9%)

Memory

-3.2MiB live, 42.2MiB allocated; 8ms 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)

sample1.2s (40.6%)

Memory

-9.7MiB live, 1 245.7MiB allocated; 358ms collecting garbage

Samples

637.0ms	8 256×	0	valid
260.0ms	2 143×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 544.0ms

ival-mult!: 290.0ms (53.3% of total)

ival-add!: 164.0ms (30.1% of total)

ival-sqrt: 89.0ms (16.4% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

preprocess63.0ms (2.1%)

Memory

-11.8MiB live, 33.8MiB allocated; 17ms 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)

series8.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

10 → 28

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

Calls

9 calls:

Time	Variable		Point	Expression
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	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	x	@	-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	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)

rewrite193.0ms (6.5%)

Memory

22.6MiB live, 121.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	473
0	110	422
1	509	419
2	2241	410
3	7462	410
0	8032	373
1	15720	373

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

38 → 370

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

Outputs
(.f64 (.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(.f64 (neg.f64 y) (.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64)))
(.f64 (.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64)) (neg.f64 y))
(.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y)
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal -1 binary64))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
(.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))
(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)) x)
(.f64 (.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(.f64 y (.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 (.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(neg.f64 (.f64 (neg.f64 y) (.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) y)) x (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 x y) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (neg.f64 z) #s(literal 1/2 binary64)) (/.f64 (neg.f64 x) z) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) z)) (/.f64 x z) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 z) x)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 z) y) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (/.f64 y x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (neg.f64 z) #s(literal -1/2 binary64)) (/.f64 x z) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) z)) x (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y)) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (neg.f64 y) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (neg.f64 z) (.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 y) (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (neg.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) y)) (/.f64 (sqrt.f64 z) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal -1 binary64)) z (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 x z) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 (neg.f64 x) z) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 y x) (.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 y x) (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x (sqrt.f64 z)) (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 (sqrt.f64 z) y) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (neg.f64 z) x) (/.f64 #s(literal -1/2 binary64) z) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 z x) (/.f64 #s(literal 1/2 binary64) z) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 (sqrt.f64 z) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (neg.f64 y) x) (.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1/2 binary64) y) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 (neg.f64 x) y) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (sqrt.f64 z) y) (.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (sqrt.f64 z) y) (.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (sqrt.f64 z) y) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x y) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))
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(fma.f64 (.f64 (neg.f64 y) x) (/.f64 (neg.f64 (sqrt.f64 z)) x) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 y) x) (/.f64 (neg.f64 (sqrt.f64 z)) x) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (sqrt.f64 z) y) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (sqrt.f64 z) y) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (sqrt.f64 z) y) #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (sqrt.f64 z) y) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (/.f64 (sqrt.f64 z) x) (.f64 y x) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (sqrt.f64 z) x) (.f64 y x) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (sqrt.f64 z) y) x) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (sqrt.f64 z) y) x) (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 x (neg.f64 x)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 x (neg.f64 x)) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (neg.f64 y) (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 x)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 x)) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)) (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 z) y)))
(fma.f64 (neg.f64 x) (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y) (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (/.f64 x #s(literal -1 binary64)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (/.f64 x #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (sqrt.f64 z)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (sqrt.f64 z)) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (/.f64 y x) (sqrt.f64 z)) (/.f64 x #s(literal 1 binary64)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 y x) (sqrt.f64 z)) (/.f64 x #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (/.f64 y x) (sqrt.f64 z)) x (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 y x) (sqrt.f64 z)) x (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (sqrt.f64 z) (.f64 (/.f64 y x) x) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 z) (.f64 (/.f64 y x) x) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (sqrt.f64 z) y (.f64 (.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 z) y (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 z) y)))
(fma.f64 y (.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (neg.f64 x)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 y (.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (neg.f64 x)) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 y (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 y (sqrt.f64 z) (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 z) y)))
(fma.f64 x (.f64 (/.f64 y x) (sqrt.f64 z)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 x (.f64 (/.f64 y x) (sqrt.f64 z)) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 z) y) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 z) y) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
(+.f64 (.f64 (sqrt.f64 z) y) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(+.f64 (.f64 (sqrt.f64 z) y) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)))
y
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 z) x) x)
(*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 x (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) x) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) x) x)
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 x)))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 (/.f64 (sqrt.f64 z) x) x (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (/.f64 (sqrt.f64 z) x) x (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 x (/.f64 (sqrt.f64 z) x) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (sqrt.f64 z) x) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 z) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
z
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#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 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx y y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x) #s(literal 1/2 binary64)))
#s(approx (+ x (* y (sqrt z))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z x))
#s(approx (sqrt z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) #s(literal -1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)))))
#s(approx (+ x (* y (sqrt z))) (.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
#s(approx (+ x (* y (sqrt z))) (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)))
#s(approx (sqrt z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))

eval83.0ms (2.8%)

Memory: -14.1MiB live, 75.7MiB allocated; 13ms collecting garbage
Compiler: Compiled 2 497 to 910 computations (63.6% saved)

prune22.0ms (0.7%)

Memory

-13.4MiB live, 30.6MiB allocated; 6ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	341	13	354
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	342	13	355

Accuracy

100.0%

Counts

355 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.7%	(fma.f64 (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x))
▶	81.0%	(fma.f64 (.f64 (.f64 x (sqrt.f64 z)) (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
	86.0%	(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (/.f64 y x) (*.f64 #s(literal 1/2 binary64) x))
	89.4%	(.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))
▶	91.6%	(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 z) y) #s(literal -1/2 binary64)) (neg.f64 x))
	86.8%	(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y #s(literal 1/2 binary64)) x)
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	84.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 (.f64 (*.f64 (sqrt.f64 z) y) x) x)))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y #s(approx (sqrt z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z)))))
	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	39.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) z))
	47.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
▶	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 296 to 294 computations (0.7% saved)

series46.0ms (1.6%)

Memory

33.4MiB live, 85.5MiB allocated; 13ms collecting garbage

Counts

25 → 59

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (* (/ 1 (sqrt z)) y) 1/2) z) (* (* (/ 1 (sqrt z)) y) 1/2) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (* (+ (* (/ -1/2 x) (* (sqrt z) y)) -1/2) (neg x)) (+ (* (/ -1/2 x) (* (sqrt z) y)) -1/2) (/ -1/2 x) -1/2 (* (sqrt z) y) (neg x) (+ (* (* (* x (sqrt z)) (neg y)) (/ -1/2 x)) (* 1/2 x)) (* (* x (sqrt z)) (neg y)) (* x (sqrt z)) (neg y))
4.0ms	z	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (* (/ 1 (sqrt z)) y) 1/2) z) (* (* (/ 1 (sqrt z)) y) 1/2) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (* (+ (* (/ -1/2 x) (* (sqrt z) y)) -1/2) (neg x)) (+ (* (/ -1/2 x) (* (sqrt z) y)) -1/2) (/ -1/2 x) -1/2 (* (sqrt z) y) (neg x) (+ (* (* (* x (sqrt z)) (neg y)) (/ -1/2 x)) (* 1/2 x)) (* (* x (sqrt z)) (neg y)) (* x (sqrt z)) (neg y))
4.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (* (/ 1 (sqrt z)) y) 1/2) z) (* (* (/ 1 (sqrt z)) y) 1/2) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (* (+ (* (/ -1/2 x) (* (sqrt z) y)) -1/2) (neg x)) (+ (* (/ -1/2 x) (* (sqrt z) y)) -1/2) (/ -1/2 x) -1/2 (* (sqrt z) y) (neg x) (+ (* (* (* x (sqrt z)) (neg y)) (/ -1/2 x)) (* 1/2 x)) (* (* x (sqrt z)) (neg y)) (* x (sqrt z)) (neg y))
4.0ms	x	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (* (/ 1 (sqrt z)) y) 1/2) z) (* (* (/ 1 (sqrt z)) y) 1/2) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (* (+ (* (/ -1/2 x) (* (sqrt z) y)) -1/2) (neg x)) (+ (* (/ -1/2 x) (* (sqrt z) y)) -1/2) (/ -1/2 x) -1/2 (* (sqrt z) y) (neg x) (+ (* (* (* x (sqrt z)) (neg y)) (/ -1/2 x)) (* 1/2 x)) (* (* x (sqrt z)) (neg y)) (* x (sqrt z)) (neg y))
3.0ms	y	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (* (/ 1 (sqrt z)) y) 1/2) z) (* (* (/ 1 (sqrt z)) y) 1/2) (* (/ 1 (sqrt z)) y) (/ 1 (sqrt z)) 1 (* (+ (* (/ -1/2 x) (* (sqrt z) y)) -1/2) (neg x)) (+ (* (/ -1/2 x) (* (sqrt z) y)) -1/2) (/ -1/2 x) -1/2 (* (sqrt z) y) (neg x) (+ (* (* (* x (sqrt z)) (neg y)) (/ -1/2 x)) (* 1/2 x)) (* (* x (sqrt z)) (neg y)) (* x (sqrt z)) (neg y))

rewrite180.0ms (6.1%)

Memory

19.4MiB live, 292.7MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	1081
0	245	980
1	958	971
2	3937	905
0	8475	898
1	18428	898

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

84 → 713

Calls

Call 1

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

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

eval143.0ms (4.8%)

Memory: -44.9MiB live, 199.6MiB allocated; 43ms collecting garbage
Compiler: Compiled 4 356 to 1 694 computations (61.1% saved)

prune20.0ms (0.7%)

Memory

2.0MiB live, 52.1MiB allocated; 9ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	645	6	651
Fresh	7	1	8
Picked	3	2	5
Done	0	0	0
Total	655	9	664

Accuracy

100.0%

Counts

664 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.7%	(fma.f64 (/.f64 (sqrt.f64 z) x) (.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	99.8%	(.f64 (+.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
▶	47.7%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
	44.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) z) (sqrt.f64 z)))
▶	41.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y))
▶	39.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z)) z))
▶	39.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 x y) (.f64 #s(literal 1/2 binary64) y)))
✓	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 202 to 202 computations (0% saved)

series20.0ms (0.7%)

Memory

8.0MiB live, 52.9MiB allocated; 5ms collecting garbage

Counts

21 → 37

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (/ x y) (* 1/2 y)) (/ x y) (* 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ (* (* 1/2 x) y) y) (* (* 1/2 x) y) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (/ (* 1/2 y) (sqrt z)) z) (/ (* 1/2 y) (sqrt z)))
2.0ms	y	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (/ x y) (* 1/2 y)) (/ x y) (* 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ (* (* 1/2 x) y) y) (* (* 1/2 x) y) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (/ (* 1/2 y) (sqrt z)) z) (/ (* 1/2 y) (sqrt z)))
2.0ms	y	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (/ x y) (* 1/2 y)) (/ x y) (* 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ (* (* 1/2 x) y) y) (* (* 1/2 x) y) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (/ (* 1/2 y) (sqrt z)) z) (/ (* 1/2 y) (sqrt z)))
2.0ms	y	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (/ x y) (* 1/2 y)) (/ x y) (* 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ (* (* 1/2 x) y) y) (* (* 1/2 x) y) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (/ (* 1/2 y) (sqrt z)) z) (/ (* 1/2 y) (sqrt z)))
2.0ms	x	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (/ x y) (* 1/2 y)) (/ x y) (* 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ (* (* 1/2 x) y) y) (* (* 1/2 x) y) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (/ (* 1/2 y) (sqrt z)) z) (/ (* 1/2 y) (sqrt z)))

rewrite162.0ms (5.5%)

Memory

48.8MiB live, 265.5MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	708
0	165	637
1	654	610
2	2658	563
0	8908	522
1	17199	522

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

58 → 1 123

Calls

Call 1

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

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

eval155.0ms (5.2%)

Memory: -16.4MiB live, 283.7MiB allocated; 113ms collecting garbage
Compiler: Compiled 7 280 to 2 637 computations (63.8% saved)

prune23.0ms (0.8%)

Memory

13.6MiB live, 62.0MiB allocated; 5ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 053	4	1 057
Fresh	2	0	2
Picked	1	4	5
Done	0	2	2
Total	1 056	10	1 066

Accuracy

100.0%

Counts

1 066 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 (+.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
▶	44.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	37.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (.f64 x y) (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
✓	47.7%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	39.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z)) z))
✓	39.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 x y) (.f64 #s(literal 1/2 binary64) y)))
▶	41.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 x y) (/.f64 #s(literal 1/2 binary64) y)))
✓	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
▶	2.6%	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y))

Compiler

Compiled 123 to 123 computations (0% saved)

series18.0ms (0.6%)

Memory

-4.7MiB live, 42.0MiB allocated; 2ms collecting garbage

Counts

21 → 41

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite202.0ms (6.8%)

Memory

-20.8MiB live, 165.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	733
0	166	682
1	644	679
2	2566	614
0	8037	575
1	15155	575

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

62 → 440

Calls

Call 1

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

Outputs
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))
(.f64 (.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) y) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z))
(.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(.f64 (neg.f64 x) (.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1/2 binary64)))
(.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (neg.f64 (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (neg.f64 y))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)
(.f64 (.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1/2 binary64)) x)
(.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1/2 binary64)) (neg.f64 x))
(.f64 (.f64 (/.f64 (sqrt.f64 z) x) y) (*.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)))
(.f64 #s(literal -1/2 binary64) (.f64 y (sqrt.f64 z)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 y) (sqrt.f64 z)))
(.f64 x (.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1/2 binary64)))
(.f64 y (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) y))
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) (neg.f64 x))
(/.f64 (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) x) x)
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) x)
(/.f64 (.f64 x (.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) x)
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) x)) x)
(/.f64 (.f64 (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) x) (neg.f64 x))
(neg.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 z) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
z
y
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (/.f64 (.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 x z))
(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 (neg.f64 x) z))
(.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x y))
(.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (*.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(.f64 (neg.f64 z) (.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 (neg.f64 y) (.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 x) z) (.f64 #s(literal -1/2 binary64) z))
(.f64 (.f64 (/.f64 x z) #s(literal -1/2 binary64)) (neg.f64 z))
(.f64 (.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)
(.f64 (/.f64 x z) (.f64 #s(literal 1/2 binary64) z))
(.f64 (/.f64 (neg.f64 x) y) (.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y))
(.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)
(.f64 (/.f64 x y) (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 x y) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x y))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 y (.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(.f64 z (.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 x)) (neg.f64 z))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) x) z)
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) z)) (neg.f64 z))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x z)) z)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (neg.f64 x)) (neg.f64 y))
(/.f64 (.f64 (.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 (.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) x) y)) y)
(/.f64 (.f64 (neg.f64 z) (.f64 #s(literal -1/2 binary64) x)) z)
(/.f64 (.f64 (neg.f64 z) (.f64 #s(literal 1/2 binary64) x)) (neg.f64 z))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(literal -1/2 binary64) x)) y)
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) x) z)) z)
(/.f64 (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64)) y)
(/.f64 (.f64 (.f64 (neg.f64 x) z) #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (.f64 (.f64 x z) #s(literal 1/2 binary64)) z)
(/.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) z)) z)
(/.f64 (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal -1 binary64)) z)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 y)) y)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 y)) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 z)) z)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 z)) (neg.f64 z))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64)) y)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) z) (neg.f64 z))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) z) z)
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) y) (neg.f64 y))
(/.f64 (.f64 (.f64 x y) #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 x y)
(*.f64 y x)
(neg.f64 (*.f64 (neg.f64 x) y))
x
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
#s(literal 1/2 binary64)
(.f64 (neg.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))) #s(literal -1/2 binary64))
(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (sqrt z) y) x) (*.f64 y (sqrt.f64 z))))
(neg.f64 (.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal -1/2 binary64)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
(.f64 (/.f64 (.f64 x y) x) (/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x y) x) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(.f64 (/.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 z) x) y))
(.f64 (/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (/.f64 (.f64 x y) x))
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)))
(.f64 (/.f64 (.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 z)) x))
(.f64 (/.f64 y #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 z) x) x))
(.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (.f64 x y) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x y)) (sqrt.f64 z))
(.f64 (.f64 (/.f64 (sqrt.f64 z) x) x) y)
(.f64 (/.f64 y x) (/.f64 (.f64 x (sqrt.f64 z)) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 (.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 x (neg.f64 x)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x (sqrt.f64 z)) y) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x (sqrt.f64 z)) y))
(.f64 (neg.f64 x) (.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 x y) (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(.f64 (.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (/.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (sqrt.f64 z)))
(.f64 (.f64 (/.f64 (sqrt.f64 z) x) y) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (sqrt.f64 z) x) y) x)
(.f64 (/.f64 (sqrt.f64 z) x) (/.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 z) x) (.f64 x y))
(.f64 (.f64 x y) (/.f64 (sqrt.f64 z) x))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 z)))
(.f64 x (.f64 (/.f64 (sqrt.f64 z) x) y))
(.f64 y (.f64 (/.f64 (sqrt.f64 z) x) x))
(*.f64 y (sqrt.f64 z))
(.f64 (sqrt.f64 z) (/.f64 (.f64 x y) x))
(.f64 (sqrt.f64 z) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x y)))
(*.f64 (sqrt.f64 z) y)
(/.f64 (.f64 (.f64 (*.f64 x (sqrt.f64 z)) y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (.f64 (*.f64 x (sqrt.f64 z)) y) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 y (sqrt.f64 z)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (neg.f64 x) y) (sqrt.f64 z)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (.f64 (.f64 x (sqrt.f64 z)) y) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) (sqrt.f64 z))) x)
(/.f64 (.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x)) x)
(/.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 x) y) (sqrt.f64 z)) (neg.f64 x))
(/.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x (sqrt.f64 z)) y) x)
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 (/.f64 (.f64 x y) x) (/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 x y) x) (/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z))))
(fma.f64 (/.f64 (.f64 x y) x) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 x y) x) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z))))
(fma.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) (.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 z) x) y) (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 0 binary64)))
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(fma.f64 (/.f64 z (sqrt.f64 z)) y (.f64 #s(literal 0 binary64) (.f64 (/.f64 y (sqrt.f64 z)) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z) (.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 y z) (.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
(fma.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 0 binary64)))
(fma.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 y (sqrt.f64 z)) z) (.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 y (sqrt.f64 z)) z) (.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
(fma.f64 y (/.f64 z (sqrt.f64 z)) (.f64 (.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 0 binary64)))
(fma.f64 y (/.f64 z (sqrt.f64 z)) (.f64 #s(literal 0 binary64) (.f64 (/.f64 y (sqrt.f64 z)) z)))
(fma.f64 z (/.f64 y (sqrt.f64 z)) (.f64 (.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 0 binary64)))
(fma.f64 z (/.f64 y (sqrt.f64 z)) (.f64 #s(literal 0 binary64) (.f64 (/.f64 y (sqrt.f64 z)) z)))
(+.f64 (.f64 (/.f64 y (sqrt.f64 z)) z) (.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 0 binary64)))
(+.f64 (.f64 (/.f64 y (sqrt.f64 z)) z) (.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 z))
(.f64 (.f64 y z) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y z))
(*.f64 y z)
(*.f64 z y)
(/.f64 (.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) y))
(fma.f64 (neg.f64 z) (neg.f64 y) (.f64 (.f64 y z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 z) (neg.f64 y) (.f64 #s(literal 0 binary64) (.f64 y z)))
(fma.f64 (neg.f64 y) (neg.f64 z) (.f64 (.f64 y z) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 z) (.f64 #s(literal 0 binary64) (.f64 y z)))
(fma.f64 (.f64 y z) #s(literal 1 binary64) (.f64 (*.f64 y z) #s(literal 0 binary64)))
(fma.f64 (.f64 y z) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 y z)))
(fma.f64 #s(literal 1 binary64) (.f64 y z) (.f64 (*.f64 y z) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y z) (.f64 #s(literal 0 binary64) (*.f64 y z)))
(fma.f64 y z (.f64 (.f64 y z) #s(literal 0 binary64)))
(fma.f64 y z (.f64 #s(literal 0 binary64) (.f64 y z)))
(fma.f64 z y (.f64 (.f64 y z) #s(literal 0 binary64)))
(fma.f64 z y (.f64 #s(literal 0 binary64) (.f64 y z)))
(+.f64 (.f64 y z) (.f64 (*.f64 y z) #s(literal 0 binary64)))
(+.f64 (.f64 y z) (.f64 #s(literal 0 binary64) (*.f64 y z)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
#s(approx (* (* x y) (/ 1/2 y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (sqrt.f64 z) x))
#s(approx (/ (sqrt z) x) (/.f64 (sqrt.f64 z) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (sqrt.f64 z) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (sqrt.f64 z) x))
#s(approx (* (* -1/2 (sqrt z)) y) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y))
#s(approx y y)
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (* y z) (sqrt z)) (*.f64 (/.f64 y (sqrt.f64 z)) z))
#s(approx (* y z) (*.f64 y z))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (sqrt.f64 z) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (sqrt.f64 z) x))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
#s(approx (* -1/2 (sqrt z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)))
#s(approx (* (* -1/2 (sqrt z)) y) (.f64 (.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (sqrt z)) (*.f64 (/.f64 z (sqrt.f64 z)) #s(literal -1/2 binary64)))
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
#s(approx (/ (sqrt z) x) (/.f64 (/.f64 z (sqrt.f64 z)) x))
#s(approx (/ (* y z) (sqrt z)) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 x (.f64 (/.f64 y (sqrt.f64 z)) z)))))
#s(approx (* -1/2 (sqrt z)) (*.f64 (/.f64 z (sqrt.f64 z)) #s(literal 1/2 binary64)))
#s(approx (sqrt z) (neg.f64 (/.f64 z (sqrt.f64 z))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) z))
#s(approx (+ (* (sqrt z) y) x) (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)))
#s(approx (/ (sqrt z) x) (/.f64 (neg.f64 (/.f64 z (sqrt.f64 z))) x))
#s(approx (/ (* y z) (sqrt z)) (/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))

eval54.0ms (1.8%)

Memory: 31.7MiB live, 127.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 3 483 to 1 570 computations (54.9% saved)

prune16.0ms (0.6%)

Memory

0.9MiB live, 46.2MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	471	0	471
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	471	10	481

Accuracy

100.0%

Counts

481 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 (+.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
✓	44.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	37.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (.f64 x y) (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
✓	47.7%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	39.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z)) z))
✓	39.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 x y) (.f64 #s(literal 1/2 binary64) y)))
✓	41.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 x y) (/.f64 #s(literal 1/2 binary64) y)))
✓	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
✓	2.6%	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y))

Compiler

Compiled 271 to 218 computations (19.6% saved)

regimes54.0ms (1.8%)

Memory

-21.9MiB live, 124.7MiB allocated; 13ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
9.0ms	z
8.0ms	(*.f64 y (sqrt.f64 z))
6.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
6.0ms	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)

regimes19.0ms (0.6%)

Memory

3.3MiB live, 50.3MiB allocated; 2ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

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

Outputs

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

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

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

Calls

7 calls:

3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
3.0ms	(*.f64 y (sqrt.f64 z))
2.0ms	x
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	z

Results

Accuracy	Segments	Branch
67.3%	6	`(sqrt.f64 z)`
78.6%	3	`(*.f64 y (sqrt.f64 z))`
64.0%	5	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
64.0%	5	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
76.8%	3	`x`
75.6%	3	`y`
67.3%	6	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes10.0ms (0.3%)

Memory

-16.3MiB live, 31.0MiB allocated; 1ms collecting garbage

Accuracy

Total -31.9b remaining (-104.9%)

Threshold costs -31.9b (-104.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
52.5%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
52.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
52.5%	1	`(sqrt.f64 z)`
52.5%	1	`z`
52.5%	1	`y`
52.5%	1	`x`
52.5%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.8906861506482805e-76	1.643224588505732e-74
0.0ms	-1.0016883363024441e-24	-5.3837359553074866e-30

Compiler

Compiled 13 to 16 computations (-23.1% saved)

derivations137.0ms (4.6%)

Memory

-33.4MiB live, 138.7MiB allocated; 95ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 33 to 26 computations (21.2% saved)

preprocess71.0ms (2.4%)

Memory: 4.5MiB live, 51.0MiB allocated; 3ms collecting garbage
Remove: (abs z)
Compiler: Compiled 143 to 124 computations (13.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze58.0ms (1.9%)

sample1.2s (40.6%)

preprocess63.0ms (2.1%)

series8.0ms (0.3%)

rewrite193.0ms (6.5%)

eval83.0ms (2.8%)

prune22.0ms (0.7%)

series46.0ms (1.6%)

rewrite180.0ms (6.1%)

eval143.0ms (4.8%)

prune20.0ms (0.7%)

series20.0ms (0.7%)

rewrite162.0ms (5.5%)

eval155.0ms (5.2%)

prune23.0ms (0.8%)

series18.0ms (0.6%)

rewrite202.0ms (6.8%)

eval54.0ms (1.8%)

prune16.0ms (0.6%)

regimes54.0ms (1.8%)

regimes19.0ms (0.6%)

regimes10.0ms (0.3%)

bsearch1.0ms (0%)

derivations137.0ms (4.6%)

preprocess71.0ms (2.4%)

end0.0ms (0%)

Profiling