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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze86.0ms (1.4%)

Memory

9.7MiB live, 87.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.5s (24.7%)

Memory

85.4MiB live, 1 961.1MiB allocated

Samples

1.0s	8 256×	0	valid
163.0ms	2 093×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 626.0ms

ival-mult: 186.0ms (29.7% of total)

ival-div: 172.0ms (27.5% of total)

ival-sqrt: 134.0ms (21.4% of total)

ival-add: 113.0ms (18% of total)

exact: 10.0ms (1.6% of total)

ival-true: 8.0ms (1.3% of total)

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

Bogosity

explain161.0ms (2.6%)

Memory

-19.0MiB live, 174.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sqrt: 11.0ms (43.8% of total)

ival-mult: 7.0ms (27.9% of total)

ival-div: 3.0ms (12% of total)

ival-add: 3.0ms (12% of total)

ival-true: 1.0ms (4% of total)

exact: 0.0ms (0% of total)

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

preprocess45.0ms (0.7%)

Memory

-11.3MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 10 computations (0% saved)

simplify9.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.5%)

Memory

-15.7MiB live, 73.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.2026772146286366	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.2578125	(*.f64 y (sqrt.f64 z))

Samples

27.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 7.0ms (44.5% of total)

ival-mult: 3.0ms (19.1% of total)

ival-sqrt: 3.0ms (19.1% of total)

ival-div: 2.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-9.5MiB live, 35.3MiB allocated

Counts

5 → 23

Calls

Call 1

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

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

Calls

9 calls:

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

simplify190.0ms (3.1%)

Memory

17.1MiB live, 294.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite219.0ms (3.5%)

Memory

31.8MiB live, 267.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 387

Calls

Call 1

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

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

eval244.0ms (3.9%)

Memory: -53.7MiB live, 109.4MiB allocated
Compiler: Compiled 13 680 to 1 346 computations (90.2% saved)

prune12.0ms (0.2%)

Memory

36.0MiB live, 36.1MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	385	12	397
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	386	12	398

Accuracy

100.0%

Counts

398 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
	54.7%	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
▶	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	64.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (sqrt.f64 z) y) x))))
	24.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
▶	50.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	94.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	90.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))))
	48.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	53.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 394 to 312 computations (20.8% saved)

simplify32.0ms (0.5%)

Memory

-23.9MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	145
0	52	145
1	90	141
2	167	141
3	323	141
4	563	141
5	788	141
6	884	141
7	915	141
8	944	141
9	974	141
10	989	141
0	989	141

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (1.3%)

Memory

-5.1MiB live, 141.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.078125	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
accuracy	8.266949883899436	(sqrt.f64 (*.f64 z y))
accuracy	0.0	(*.f64 z y)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
accuracy	0.0703125	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	1.472868562573759	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.05859375	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	15.399725441651604	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.05859375	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))

Samples

29.0ms	121×	0	invalid
27.0ms	135×	0	valid

Compiler

Compiled 146 to 32 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 18.0ms (46.1% of total)

ival-sqrt: 10.0ms (25.6% of total)

ival-add: 6.0ms (15.4% of total)

ival-div: 3.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

36.5MiB live, 36.5MiB allocated

Counts

18 → 38

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (sqrt (/ 1 z)) (sqrt y))
2.0ms	y	@	-inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (sqrt (/ 1 z)) (sqrt y))
2.0ms	y	@	0	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (sqrt (/ 1 z)) (sqrt y))
1.0ms	z	@	inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (sqrt (/ 1 z)) (sqrt y))
1.0ms	z	@	0	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (sqrt (/ 1 z)) (sqrt y))

simplify593.0ms (9.6%)

Memory

-14.5MiB live, 170.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	279
1	361	258
2	1383	252
3	4059	240
4	6634	240
0	8488	225

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

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

rewrite310.0ms (5%)

Memory

4.4MiB live, 280.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	117
0	52	107
1	165	97
2	971	94
0	9764	94

Stop Event

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

Counts

18 → 934

Calls

Call 1

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

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

eval71.0ms (1.1%)

Memory: 0.5MiB live, 106.1MiB allocated
Compiler: Compiled 8 983 to 1 235 computations (86.3% saved)

prune13.0ms (0.2%)

Memory

-9.3MiB live, 37.5MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	388	7	395
Fresh	6	1	7
Picked	1	4	5
Done	0	0	0
Total	395	12	407

Accuracy

100.0%

Counts

407 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.3%	(fma.f64 (/.f64 y (sqrt.f64 z)) (.f64 z #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
	91.9%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
▶	50.4%	(.f64 (fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 y) x) #s(literal 1/2 binary64))
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	24.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
▶	99.5%	(.f64 (+.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
▶	48.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
	88.4%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	94.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
✓	94.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	53.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 292 to 236 computations (19.2% saved)

simplify125.0ms (2%)

Memory

4.9MiB live, 95.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	208
0	61	208
1	107	195
2	259	195
3	712	195
4	1584	195
5	2683	195
6	3226	195
7	3275	195
8	3303	195
9	3303	195
10	3307	195
11	3307	195
12	3307	195
13	3318	195
14	3328	195
15	3328	195
0	3328	188

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize115.0ms (1.9%)

Memory

-6.8MiB live, 230.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(*.f64 (sqrt.f64 z) y)
accuracy	0.5206907554987374	(/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	1.4753788040087508	(/.f64 z (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	8.135949555573852	(fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.11328125	(/.f64 y (sqrt.f64 z))
accuracy	3.177504677050824	(fma.f64 (/.f64 y (sqrt.f64 z)) (.f64 z #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 y z)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.078125	(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 y) x)
accuracy	8.266949883899436	(sqrt.f64 (*.f64 y z))
accuracy	0.0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.1328125	(*.f64 (sqrt.f64 z) y)
accuracy	17.301741457061077	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(+.f64 (*.f64 y (sqrt.f64 z)) x)
accuracy	0.0	(.f64 (+.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.1328125	(*.f64 y (sqrt.f64 z))

Samples

54.0ms	135×	0	valid
29.0ms	121×	0	invalid

Compiler

Compiled 209 to 35 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 21.0ms (36.9% of total)

ival-mult: 21.0ms (36.9% of total)

ival-add: 7.0ms (12.3% of total)

ival-sqrt: 5.0ms (8.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.7%)

Memory

34.4MiB live, 80.9MiB allocated

Counts

22 → 137

Calls

Call 1

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

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

Calls

9 calls:

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

simplify161.0ms (2.6%)

Memory

17.4MiB live, 193.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	674	3283
1	2435	2902
0	9074	2772

Stop Event

1×	iter limit
1×	node limit

Counts

137 → 136

Calls

Call 1

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

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

rewrite235.0ms (3.8%)

Memory

-0.7MiB live, 337.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	162
0	61	158
1	185	145
2	1135	145
0	8575	136

Stop Event

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

Counts

22 → 987

Calls

Call 1

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

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

eval123.0ms (2%)

Memory: -10.4MiB live, 359.8MiB allocated
Compiler: Compiled 34 620 to 3 282 computations (90.5% saved)

prune20.0ms (0.3%)

Memory

20.2MiB live, 67.1MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	894	5	899
Fresh	1	2	3
Picked	1	4	5
Done	1	3	4
Total	897	14	911

Accuracy

100.0%

Counts

911 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.3%	(fma.f64 (/.f64 y (sqrt.f64 z)) (.f64 z #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
▶	91.9%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	50.4%	(.f64 (fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 y) x) #s(literal 1/2 binary64))
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	24.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x #s(approx (/ x (- (* (sqrt z) y) x)) #s(literal -1 binary64)))))
✓	99.5%	(.f64 (+.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
▶	60.2%	(.f64 (+.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) x) #s(literal 1/2 binary64))
✓	48.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
	88.4%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
▶	85.8%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
▶	2.3%	#s(approx (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
▶	94.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
✓	53.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 342 to 267 computations (21.9% saved)

simplify140.0ms (2.3%)

Memory

-16.3MiB live, 175.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (/.f64 x y) (sqrt.f64 z))
cost-diff	0	#s(approx (+ (* y (sqrt z)) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
cost-diff	0	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
cost-diff	3	(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(/.f64 y (sqrt.f64 z))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 y y) z)
cost-diff	0	(sqrt.f64 (.f64 (.f64 y y) z))
cost-diff	0	(+.f64 (sqrt.f64 (.f64 (.f64 y y) z)) x)
cost-diff	0	(.f64 (+.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) x) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
cost-diff	2	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	205
0	64	209
1	122	192
2	301	192
3	868	192
4	2253	186
5	3827	186
6	5192	186
7	7180	186
0	8196	179

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (2.2%)

Memory

19.3MiB live, 203.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (+ (* y (sqrt z)) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
accuracy	0.2026772146286366	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
accuracy	8.898949952116453	(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
accuracy	0.0	(sqrt.f64 z)
accuracy	0.2026772146286366	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
accuracy	0.2265625	(/.f64 y (sqrt.f64 z))
accuracy	4.92713780134929	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0.0	(*.f64 y y)
accuracy	0.2026772146286366	(.f64 (+.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) x) #s(literal 1/2 binary64))
accuracy	8.195429397757959	(.f64 (.f64 y y) z)
accuracy	21.905309835749396	(sqrt.f64 (.f64 (.f64 y y) z))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	29.585576685391192	#s(approx (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
accuracy	0.2026772146286366	(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	3.621407787851414	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)

Samples

103.0ms

256×

valid

Compiler

Compiled 181 to 42 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 37.0ms (53.3% of total)

ival-div: 19.0ms (27.4% of total)

ival-add: 8.0ms (11.5% of total)

ival-sqrt: 3.0ms (4.3% of total)

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series37.0ms (0.6%)

Memory

9.0MiB live, 52.6MiB allocated

Counts

20 → 65

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	y	@	inf	((+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* (+ (sqrt (* (* y y) z)) x) 1/2) (+ (sqrt (* (* y y) z)) x) (sqrt (* (* y y) z)) (* (* y y) z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (sqrt z) (* (+ (/ x y) (sqrt z)) y) (* (+ (* y (sqrt z)) x) 1/2) (+ (* y (sqrt z)) x) (+ (/ x y) (sqrt z)) (/ 1 (sqrt z)) (* y y))
6.0ms	z	@	inf	((+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* (+ (sqrt (* (* y y) z)) x) 1/2) (+ (sqrt (* (* y y) z)) x) (sqrt (* (* y y) z)) (* (* y y) z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (sqrt z) (* (+ (/ x y) (sqrt z)) y) (* (+ (* y (sqrt z)) x) 1/2) (+ (* y (sqrt z)) x) (+ (/ x y) (sqrt z)) (/ 1 (sqrt z)) (* y y))
4.0ms	z	@	-inf	((+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* (+ (sqrt (* (* y y) z)) x) 1/2) (+ (sqrt (* (* y y) z)) x) (sqrt (* (* y y) z)) (* (* y y) z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (sqrt z) (* (+ (/ x y) (sqrt z)) y) (* (+ (* y (sqrt z)) x) 1/2) (+ (* y (sqrt z)) x) (+ (/ x y) (sqrt z)) (/ 1 (sqrt z)) (* y y))
3.0ms	y	@	-inf	((+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* (+ (sqrt (* (* y y) z)) x) 1/2) (+ (sqrt (* (* y y) z)) x) (sqrt (* (* y y) z)) (* (* y y) z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (sqrt z) (* (+ (/ x y) (sqrt z)) y) (* (+ (* y (sqrt z)) x) 1/2) (+ (* y (sqrt z)) x) (+ (/ x y) (sqrt z)) (/ 1 (sqrt z)) (* y y))
2.0ms	z	@	0	((+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* (+ (sqrt (* (* y y) z)) x) 1/2) (+ (sqrt (* (* y y) z)) x) (sqrt (* (* y y) z)) (* (* y y) z) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (sqrt z) (* (+ (/ x y) (sqrt z)) y) (* (+ (* y (sqrt z)) x) 1/2) (+ (* y (sqrt z)) x) (+ (/ x y) (sqrt z)) (/ 1 (sqrt z)) (* y y))

simplify156.0ms (2.5%)

Memory

10.0MiB live, 199.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	1201
1	1088	1066
2	4637	1015
0	8304	960

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite273.0ms (4.4%)

Memory

-37.2MiB live, 293.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	179
0	64	185
1	228	162
2	1620	154
0	8982	143

Stop Event

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

Counts

20 → 1 163

Calls

Call 1

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

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

eval98.0ms (1.6%)

Memory: -5.3MiB live, 183.8MiB allocated
Compiler: Compiled 23 176 to 2 938 computations (87.3% saved)

prune51.0ms (0.8%)

Memory

1.3MiB live, 45.5MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	692	3	695
Fresh	1	1	2
Picked	2	3	5
Done	1	6	7
Total	696	13	709

Accuracy

100.0%

Counts

709 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.3%	(fma.f64 (/.f64 y (sqrt.f64 z)) (.f64 z #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
✓	91.9%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	92.0%	(.f64 (fma.f64 #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x) #s(literal 1/2 binary64))
	24.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x #s(approx (/ x (- (* (sqrt z) y) x)) #s(literal -1 binary64)))))
	94.0%	(.f64 (+.f64 (/.f64 (.f64 y z) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
✓	99.5%	(.f64 (+.f64 (.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
	66.2%	(.f64 (+.f64 (sqrt.f64 (.f64 (*.f64 y z) y)) x) #s(literal 1/2 binary64))
✓	48.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	85.8%	(.f64 #s(approx (+ ( y (sqrt z)) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) #s(literal 1/2 binary64))
✓	2.3%	#s(approx (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
✓	53.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 624 to 282 computations (54.8% saved)

regimes72.0ms (1.2%)

Memory

-37.3MiB live, 63.4MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

7 calls:

21.0ms	y
14.0ms	(sqrt.f64 z)
7.0ms	x
7.0ms	z
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (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)

regimes18.0ms (0.3%)

Memory

44.1MiB live, 44.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes18.0ms (0.3%)

Memory

-16.1MiB live, 29.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes22.0ms (0.4%)

Memory

-11.4MiB live, 33.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

11.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	(sqrt.f64 z)
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
69.5%	4	`(sqrt.f64 z)`
78.1%	3	`(*.f64 y (sqrt.f64 z))`
67.4%	7	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
67.4%	7	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
80.3%	3	`x`
77.0%	3	`y`
69.5%	4	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes9.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Accuracy

Total -33.3b remaining (-112.2%)

Threshold costs -33.3b (-112.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
53.6%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
53.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
53.6%	1	`(sqrt.f64 z)`
53.6%	1	`z`
53.6%	1	`y`
53.6%	1	`(*.f64 y (sqrt.f64 z))`
53.6%	1	`x`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch47.0ms (0.8%)

Memory

-6.5MiB live, 39.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.4838271250012234	410298.6195816244
31.0ms	-45658.725195267165	-6.341026674611709

Samples

15.0ms

272×

valid

Compiler

Compiled 540 to 526 computations (2.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (33.9% of total)

ival-div: 2.0ms (22.6% of total)

ival-sqrt: 2.0ms (22.6% of total)

ival-add: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify16.0ms (0.3%)

Memory

20.8MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	72
1	49	72
2	76	72
3	124	72
4	186	72
5	211	72
6	222	72
7	240	72
8	251	72
9	261	72
10	271	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -8500 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 55 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Outputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -8500 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 55 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))
(if (or (<=.f64 x #s(literal -8500 binary64)) (not (<=.f64 x #s(literal 55 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness552.0ms (8.9%)

Memory

-36.5MiB live, 401.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 174 to 92 computations (47.1% saved)

preprocess66.0ms (1.1%)

Memory: 12.1MiB live, 100.3MiB allocated
Compiler: Compiled 176 to 84 computations (52.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	30	145
0	52	145
1	90	141
2	167	141
3	323	141
4	563	141
5	788	141
6	884	141
7	915	141
8	944	141
9	974	141
10	989	141
0	989	141

Iter	Nodes	Cost
0	31	72
1	49	72
2	76	72
3	124	72
4	186	72
5	211	72
6	222	72
7	240	72
8	251	72
9	261	72
10	271	72

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

Iter	Nodes	Cost
0	30	145
0	52	145
1	90	141
2	167	141
3	323	141
4	563	141
5	788	141
6	884	141
7	915	141
8	944	141
9	974	141
10	989	141
0	989	141

Iter	Nodes	Cost
0	31	72
1	49	72
2	76	72
3	124	72
4	186	72
5	211	72
6	222	72
7	240	72
8	251	72
9	261	72
10	271	72

start0.0ms (0%)

analyze86.0ms (1.4%)

sample1.5s (24.7%)

explain161.0ms (2.6%)

preprocess45.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.1%)

localize33.0ms (0.5%)

series10.0ms (0.2%)

simplify190.0ms (3.1%)

rewrite219.0ms (3.5%)

eval244.0ms (3.9%)

prune12.0ms (0.2%)

simplify32.0ms (0.5%)

localize82.0ms (1.3%)

series15.0ms (0.2%)

simplify593.0ms (9.6%)

rewrite310.0ms (5%)

eval71.0ms (1.1%)

prune13.0ms (0.2%)

simplify125.0ms (2%)

localize115.0ms (1.9%)

series46.0ms (0.7%)

simplify161.0ms (2.6%)

rewrite235.0ms (3.8%)

eval123.0ms (2%)

prune20.0ms (0.3%)

simplify140.0ms (2.3%)

localize133.0ms (2.2%)

series37.0ms (0.6%)

simplify156.0ms (2.5%)

rewrite273.0ms (4.4%)

eval98.0ms (1.6%)

prune51.0ms (0.8%)

regimes72.0ms (1.2%)

regimes18.0ms (0.3%)

regimes18.0ms (0.3%)

regimes22.0ms (0.4%)

regimes9.0ms (0.1%)

bsearch47.0ms (0.8%)

simplify16.0ms (0.3%)

soundness552.0ms (8.9%)

preprocess66.0ms (1.1%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	30	145
0	52	145
1	90	141
2	167	141
3	323	141
4	563	141
5	788	141
6	884	141
7	915	141
8	944	141
9	974	141
10	989	141
0	989	141

Iter	Nodes	Cost
0	31	72
1	49	72
2	76	72
3	124	72
4	186	72
5	211	72
6	222	72
7	240	72
8	251	72
9	261	72
10	271	72