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

start0.0ms (0%)

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

analyze50.0ms (3.1%)

Memory

4.5MiB live, 47.0MiB allocated; 10ms 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)

sample822.0ms (51.5%)

Memory

14.6MiB live, 803.2MiB allocated; 154ms collecting garbage

Samples

427.0ms	8 256×	0	valid
85.0ms	2 064×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-sqrt: 118.0ms (49.9% of total)

ival-mult!: 92.0ms (38.9% of total)

ival-add!: 25.0ms (10.6% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess44.0ms (2.7%)

Memory

-21.6MiB live, 22.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	84
1	145	82
2	562	82
3	3661	82

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))))

Compiler

Compiled 20 to 20 computations (0% saved)

series9.0ms (0.5%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

10 → 25

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite67.0ms (4.2%)

Memory

7.0MiB live, 63.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	443
0	112	405
0	502	374

Stop Event

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

Counts

35 → 54

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 377 to 173 computations (54.1% saved)

prune4.0ms (0.3%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	39	7	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	7	47

Accuracy

100.0%

Counts

47 → 7

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))
	88.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	91.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
▶	50.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
	81.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
▶	51.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 188 to 188 computations (0% saved)

series23.0ms (1.4%)

Memory

-12.0MiB live, 33.0MiB allocated; 5ms collecting garbage

Counts

19 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite68.0ms (4.3%)

Memory

10.9MiB live, 53.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	778
0	177	686
0	747	679

Stop Event

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

Counts

55 → 122

Calls

Call 1

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

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

eval22.0ms (1.4%)

Memory: -27.1MiB live, 19.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 862 to 378 computations (56.1% saved)

prune7.0ms (0.4%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	98	9	107

Accuracy

100.0%

Counts

107 → 9

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 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	88.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
✓	50.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
▶	81.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z))
▶	82.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)) x))
▶	41.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
▶	85.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) z)) z))) x))
✓	51.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 277 to 271 computations (2.2% saved)

series68.0ms (4.3%)

Memory

9.1MiB live, 103.1MiB allocated; 17ms collecting garbage

Counts

42 → 93

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) z) (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (/ (* (/ 1 (sqrt z)) y) x) (* (/ 1 (sqrt z)) y) (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z)) (* (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z) (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (* (/ (* -1 y) x) (/ 1 (sqrt z))) (/ (* -1 y) x) (* -1 y) -1)
13.0ms	z	@	inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) z) (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (/ (* (/ 1 (sqrt z)) y) x) (* (/ 1 (sqrt z)) y) (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z)) (* (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z) (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (* (/ (* -1 y) x) (/ 1 (sqrt z))) (/ (* -1 y) x) (* -1 y) -1)
8.0ms	z	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) z) (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (/ (* (/ 1 (sqrt z)) y) x) (* (/ 1 (sqrt z)) y) (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z)) (* (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z) (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (* (/ (* -1 y) x) (/ 1 (sqrt z))) (/ (* -1 y) x) (* -1 y) -1)
7.0ms	x	@	0	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) z) (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (/ (* (/ 1 (sqrt z)) y) x) (* (/ 1 (sqrt z)) y) (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z)) (* (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z) (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (* (/ (* -1 y) x) (/ 1 (sqrt z))) (/ (* -1 y) x) (* -1 y) -1)
5.0ms	z	@	0	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) y x (sqrt z) z 1 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) z) (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (/ (* (/ 1 (sqrt z)) y) x) (* (/ 1 (sqrt z)) y) (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z)) (* (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z) (- (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) (* (* (/ (* -1 y) x) (/ 1 (sqrt z))) 1/2) (* (/ (* -1 y) x) (/ 1 (sqrt z))) (/ (* -1 y) x) (* -1 y) -1)

rewrite69.0ms (4.4%)

Memory

-20.8MiB live, 70.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	2655
0	379	2453
0	1492	2408

Stop Event

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

Counts

135 → 245

Calls

Call 1

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

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

eval34.0ms (2.1%)

Memory: 0.9MiB live, 55.0MiB allocated; 12ms collecting garbage
Compiler: Compiled 3 161 to 1 401 computations (55.7% saved)

prune10.0ms (0.6%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	242	6	248
Fresh	0	0	0
Picked	4	1	5
Done	0	4	4
Total	246	11	257

Accuracy

100.0%

Counts

257 → 11

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 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	88.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
✓	50.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
▶	81.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))) z))
▶	46.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) z))
	82.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 z)) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)) x))
▶	85.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)) x))
▶	39.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x))
▶	35.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 #s(approx (+ ( (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64))) z)) x))
✓	51.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 381 to 367 computations (3.7% saved)

series36.0ms (2.2%)

Memory

-7.2MiB live, 38.8MiB allocated; 3ms collecting garbage

Counts

38 → 66

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* (/ y x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z) (+ (* (* (/ y x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) (* (/ y x) (/ 1 (sqrt z))) (/ y x) y x (/ 1 (sqrt z)) 1 (sqrt z) z 1/2 (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) z) (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ (* (/ 1 (sqrt z)) y) x))
5.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* (/ y x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z) (+ (* (* (/ y x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) (* (/ y x) (/ 1 (sqrt z))) (/ y x) y x (/ 1 (sqrt z)) 1 (sqrt z) z 1/2 (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) z) (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ (* (/ 1 (sqrt z)) y) x))
4.0ms	y	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* (/ y x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z) (+ (* (* (/ y x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) (* (/ y x) (/ 1 (sqrt z))) (/ y x) y x (/ 1 (sqrt z)) 1 (sqrt z) z 1/2 (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) z) (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ (* (/ 1 (sqrt z)) y) x))
4.0ms	z	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* (/ y x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z) (+ (* (* (/ y x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) (* (/ y x) (/ 1 (sqrt z))) (/ y x) y x (/ 1 (sqrt z)) 1 (sqrt z) z 1/2 (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) z) (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ (* (/ 1 (sqrt z)) y) x))
3.0ms	y	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* (/ y x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) z) (+ (* (* (/ y x) (/ 1 (sqrt z))) 1/2) (/ 1/2 z)) (* (/ y x) (/ 1 (sqrt z))) (/ y x) y x (/ 1 (sqrt z)) 1 (sqrt z) z 1/2 (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (* (/ 1 (sqrt z)) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) z) (+ (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (* (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ (* (/ 1 (sqrt z)) y) x))

rewrite54.0ms (3.4%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	2017
0	308	1880
0	1279	1822

Stop Event

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

Counts

104 → 173

Calls

Call 1

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

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

eval44.0ms (2.7%)

Memory: -5.5MiB live, 39.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 203 to 1 000 computations (54.6% saved)

prune15.0ms (0.9%)

Memory

-21.3MiB live, 22.3MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	176	3	179
Fresh	1	0	1
Picked	5	0	5
Done	0	5	5
Total	182	8	190

Accuracy

100.0%

Counts

190 → 8

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 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	88.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
✓	50.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
	46.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))) z))
	46.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) z))
	35.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 #s(approx (+ ( (/ (* (/ 1 (sqrt z)) y) x) 1/2) (/ 1/2 z)) (.f64 (/.f64 (.f64 y #s(literal 1 binary64)) (*.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64))) z)) x))
✓	51.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 352 to 268 computations (23.9% saved)

regimes52.0ms (3.3%)

Memory

26.1MiB live, 80.5MiB allocated; 30ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

19.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
5.0ms	x
5.0ms	z
5.0ms	y
5.0ms	(sqrt.f64 z)

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)

regimes12.0ms (0.8%)

Memory

-18.7MiB live, 27.6MiB allocated; 3ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

3.0ms	y
2.0ms	x
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	z
1.0ms	(sqrt.f64 z)

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)

regimes9.0ms (0.6%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

Outputs

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

#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))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
67.5%	2	`(sqrt.f64 z)`
78.3%	3	`(*.f64 y (sqrt.f64 z))`
61.1%	3	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
61.1%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
79.7%	3	`x`
76.2%	3	`y`
67.5%	2	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes10.0ms (0.6%)

Memory

-21.6MiB live, 23.6MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	x
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	(*.f64 y (sqrt.f64 z))
1.0ms	z

Results

Accuracy	Segments	Branch
51.1%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
51.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
51.1%	1	`(sqrt.f64 z)`
51.1%	1	`z`
51.1%	1	`y`
51.1%	1	`(*.f64 y (sqrt.f64 z))`
51.1%	1	`x`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch24.0ms (1.5%)

Memory

3.2MiB live, 49.1MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.859975293798064e-20	4.7846694677595575e-17
10.0ms	-3.4178518299259933e-6	-9.095491529202644e-11

Samples

13.0ms

256×

valid

Compiler

Compiled 461 to 496 computations (-7.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sqrt: 2.0ms (41.5% of total)

ival-mult!: 2.0ms (41.5% of total)

ival-add!: 1.0ms (20.7% of total)

adjust: 0.0ms (0% of total)

derivations6.0ms (0.3%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 35 to 28 computations (20% saved)

preprocess31.0ms (2%)

Memory: -34.1MiB live, 68.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 45 to 38 computations (15.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze50.0ms (3.1%)

sample822.0ms (51.5%)

preprocess44.0ms (2.7%)

series9.0ms (0.5%)

rewrite67.0ms (4.2%)

eval4.0ms (0.3%)

prune4.0ms (0.3%)

series23.0ms (1.4%)

rewrite68.0ms (4.3%)

eval22.0ms (1.4%)

prune7.0ms (0.4%)

series68.0ms (4.3%)

rewrite69.0ms (4.4%)

eval34.0ms (2.1%)

prune10.0ms (0.6%)

series36.0ms (2.2%)

rewrite54.0ms (3.4%)

eval44.0ms (2.7%)

prune15.0ms (0.9%)

regimes52.0ms (3.3%)

regimes12.0ms (0.8%)

regimes9.0ms (0.6%)

regimes10.0ms (0.6%)

bsearch24.0ms (1.5%)

derivations6.0ms (0.3%)

preprocess31.0ms (2%)

end0.0ms (0%)

Profiling