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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze45.0ms (0.8%)

Memory

6.0MiB live, 83.2MiB 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)

sample1.2s (21.4%)

Memory

3.2MiB live, 1 315.1MiB allocated

Samples

617.0ms	8 256×	0	valid
164.0ms	2 027×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-mult: 128.0ms (31.3% of total)

ival-sqrt: 116.0ms (28.4% of total)

ival-div: 97.0ms (23.7% of total)

ival-add: 46.0ms (11.2% of total)

exact: 10.0ms (2.4% of total)

ival-true: 8.0ms (2% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain214.0ms (3.7%)

Memory

14.9MiB live, 132.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Total Time

97.14013671875

Average Time

0.3794536590576172

Samples

16.0ms

256×

valid

Compiler

Compiled 102 to 47 computations (53.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (36.8% of total)

ival-div: 2.0ms (24.6% of total)

ival-sqrt: 2.0ms (24.6% of total)

ival-add: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess72.0ms (1.3%)

Memory

-16.0MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	78
1	112	74
2	311	74
3	600	74
4	932	74
5	1348	74
6	1744	74
7	2055	74
8	2168	74
9	2252	74
10	2288	74
11	2292	74
12	2292	74
0	10	8
0	16	8
1	27	8
2	37	8
3	39	8
0	39	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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	128	(+.f64 x (*.f64 y (sqrt.f64 z)))
cost-diff	704	(/.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	27	26
2	37	26
3	39	26
0	39	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

localize39.0ms (0.7%)

Memory

-4.6MiB live, 31.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.265625	(*.f64 y (sqrt.f64 z))

Samples

16.0ms

256×

valid

Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (35.7% of total)

ival-div: 2.0ms (23.8% of total)

ival-sqrt: 2.0ms (23.8% of total)

ival-add: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB 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
1.0ms	z	@	-inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	z	@	inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	-inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	0	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))

simplify184.0ms (3.2%)

Memory

-4.8MiB live, 123.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	158
1	251	158
2	801	158
3	2298	150
4	5055	150
5	7539	150
0	8131	135

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)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.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)
(* 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 (3.8%)

Memory

9.0MiB live, 118.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	41	21
2	234	21
3	2001	21
0	8162	19

Stop Event

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

Counts

5 → 272

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 (pow.f64 (/.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (fma.f64 (pow.f64 z #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z y) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) z (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (fma.f64 y (fma.f64 z y (.f64 (sqrt.f64 z) x)) (.f64 x 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 x #s(literal 4 binary64)) (.f64 z (pow.f64 (.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) 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 (/.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (fma.f64 (neg.f64 z) (.f64 y y) (*.f64 x x))) (fma.f64 (sqrt.f64 z) y x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (-.f64 x (.f64 (sqrt.f64 z) y))) (pow.f64 (fma.f64 (.f64 z y) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (-.f64 x (.f64 (sqrt.f64 z) y))) (pow.f64 (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) z (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.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))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 x (.f64 (sqrt.f64 z) y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))))
(.f64 (neg.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sqrt.f64 z) y) x))))
(.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(.f64 (neg.f64 (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))))) (pow.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (.f64 (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)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 z y) y (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (.f64 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.f64 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)))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 (sqrt.f64 z) y)))) (/.f64 (.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 (sqrt.f64 z) y)))))
(+.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (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 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) 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) y)
(*.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 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 (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 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.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 (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 (*.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))
(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 (.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)))

eval68.0ms (1.2%)

Memory: -6.9MiB live, 40.6MiB allocated
Compiler: Compiled 8 492 to 946 computations (88.9% saved)

prune9.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	270	10	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	271	10	281

Accuracy

100.0%

Counts

281 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.7%	(/.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))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
▶	99.7%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	88.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
	99.6%	(.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)))))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	92.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	49.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 304 to 248 computations (18.4% saved)

simplify8.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
cost-diff	128	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (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	320	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y 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	(sqrt.f64 z)
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
cost-diff	128	(+.f64 x (*.f64 y (sqrt.f64 z)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	149
0	43	120
1	71	118
2	109	118
3	179	118
4	206	118
5	209	118
6	210	118
0	210	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize105.0ms (1.8%)

Memory

-0.3MiB live, 74.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
accuracy	0.16015625	(sqrt.f64 (sqrt.f64 z))
accuracy	0.265625	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))
accuracy	0.5332413086106522	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
accuracy	0	(sqrt.f64 z)
accuracy	0.16015625	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
accuracy	0.39546883405302236	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.16015625	(fma.f64 (sqrt.f64 z) y x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	30.415310975482026	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.265625	(*.f64 y (sqrt.f64 z))

Samples

87.0ms

256×

valid

Compiler

Compiled 314 to 54 computations (82.8% saved)

Precisions

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

ival-mult: 13.0ms (51.7% of total)

ival-div: 4.0ms (15.9% of total)

ival-sqrt: 4.0ms (15.9% of total)

ival-add: 3.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (1.2%)

Memory

3.8MiB live, 86.6MiB allocated

Counts

16 → 53

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	z	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
18.0ms	y	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
9.0ms	z	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
8.0ms	z	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
1.0ms	x	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify231.0ms (4%)

Memory

-19.9MiB live, 204.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	964
1	941	896
2	3348	843
3	7733	843
0	8619	804

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 52

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

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

rewrite239.0ms (4.2%)

Memory

12.1MiB live, 298.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	111
0	43	82
1	131	80
2	571	80
3	4846	80
0	8166	80

Stop Event

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

Counts

16 → 1 162

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (.f64 z y) y (.f64 x (fma.f64 (sqrt.f64 z) y x))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y)) (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 z y) y (.f64 x (fma.f64 (sqrt.f64 z) y x))))
(.f64 (/.f64 (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 x #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) x))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 y (-.f64 (.f64 z y) (.f64 (sqrt.f64 z) 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 (/.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 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 z y) y) (.f64 (-.f64 x (.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))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x) (-.f64 (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x) (.f64 (.f64 z y) y)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y)) (fma.f64 (neg.f64 x) x (.f64 (*.f64 z y) y))) (fma.f64 (sqrt.f64 z) y x))
(.f64 (/.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (fma.f64 (neg.f64 z) (.f64 y y) (*.f64 x x))) (fma.f64 (sqrt.f64 z) y x))
(.f64 (.f64 #s(literal 1 binary64) (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 (-.f64 x (*.f64 (sqrt.f64 z) y)) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y))) (pow.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))
(.f64 (pow.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y)))
(.f64 (pow.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) #s(literal -1 binary64)) (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 (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) (pow.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y))) (pow.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal -1 binary64)))
(.f64 (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)))) (pow.f64 (neg.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (/.f64 (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y)) (/.f64 (pow.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y)) (pow.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) (/.f64 (fma.f64 (sqrt.f64 z) y x) (fma.f64 (.f64 z y) y (.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) x))))
(.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) (.f64 (fma.f64 (sqrt.f64 z) y x) (pow.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) #s(literal -1 binary64))))
(.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 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.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 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x))
(.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (-.f64 x (*.f64 (sqrt.f64 z) y))))
(.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(.f64 (fma.f64 (sqrt.f64 z) y x) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))))
(.f64 (fma.f64 (sqrt.f64 z) y x) (.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (pow.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1 binary64))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y)) #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (pow.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))) #s(literal 1 binary64)) (fma.f64 (.f64 z y) y (.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))) (fma.f64 (.f64 z y) y (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) z (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64))) (fma.f64 (.f64 z y) y (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))) (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y)))) (neg.f64 (-.f64 (.f64 (sqrt.f64 z) y) x)))
(/.f64 (.f64 #s(literal 1 binary64) (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))))) (neg.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.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))) #s(literal 1 binary64)) (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)))
(/.f64 (.f64 #s(literal 1 binary64) (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 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal 2 binary64))) (fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 (.f64 z y) (/.f64 y (-.f64 x (.f64 (sqrt.f64 z) y))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x))) (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (neg.f64 (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))))) (neg.f64 (neg.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 z y) y (.f64 x x)) (-.f64 x (.f64 (sqrt.f64 z) y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 z y) y (.f64 x x)) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) z (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (sqrt.f64 z) y))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 (.f64 z y) y (.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) x))))
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 z) y x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z y) y (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) x)) (.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))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 z y) y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 (sqrt.f64 z) y))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)) (.f64 #s(literal 1/2 binary64) x)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64))) (pow.f64 z #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(fma.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y))))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
(fma.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 (sqrt.f64 z) y)))) (/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) z) (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 (sqrt.f64 z) y)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
(exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))
(+.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) x)) (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(.f64 (.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/8 binary64)))
(.f64 (pow.f64 z #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 3/16 binary64)) (pow.f64 z #s(literal 1/16 binary64)))
(*.f64 (pow.f64 z #s(literal 1/16 binary64)) (pow.f64 z #s(literal 3/16 binary64)))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 z #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 z #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
(pow.f64 z #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 z))
(fabs.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(fabs.f64 (pow.f64 z #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1/2 binary64) (.f64 (log.f64 (sqrt.f64 z)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 z)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 z)) #s(literal 1/4 binary64) (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)))

eval92.0ms (1.6%)

Memory: 2.8MiB live, 161.1MiB allocated
Compiler: Compiled 12 695 to 2 104 computations (83.4% saved)

prune40.0ms (0.7%)

Memory

1.0MiB live, 39.7MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	619	6	625
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	624	11	635

Accuracy

100.0%

Counts

635 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.7%	(/.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))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)))
▶	49.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z))) y)))
▶	49.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
✓	99.7%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	88.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
	83.1%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)))
▶	49.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
	92.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 325 to 266 computations (18.2% saved)

simplify279.0ms (4.9%)

Memory

8.4MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z)))
cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z))) y)
cost-diff	0	#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z))) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z))) y)))
cost-diff	0	(/.f64 #s(literal 2 binary64) y)
cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
cost-diff	0	#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
cost-diff	0	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 (sqrt.f64 z) y x)
cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	287
0	61	277
1	88	269
2	139	269
3	239	269
4	550	261
5	1349	261
6	2602	261
7	4398	261
0	8114	261

Stop Event

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

Calls

Call 1

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

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

localize503.0ms (8.8%)

Memory

-4.5MiB live, 158.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z))) y)))
accuracy	1.0879700811444803	(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z))) y)
accuracy	4.3078489220688905	(/.f64 (/.f64 x y) z)
accuracy	32.545689797437284	#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z))) y))
accuracy	0.1328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
accuracy	0.34765625	(*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
accuracy	32.50965477856746	#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
accuracy	0	(sqrt.f64 z)
accuracy	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
accuracy	1.2925410084291227	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	6.218168901467943	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
accuracy	0	(sqrt.f64 z)
accuracy	0.265625	(*.f64 (sqrt.f64 z) y)
accuracy	32.4626073247736	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
accuracy	0	(sqrt.f64 z)
accuracy	0.16015625	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)))
accuracy	0.39546883405302236	(/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))

Samples

480.0ms

256×

valid

Compiler

Compiled 511 to 72 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

ival-mult: 374.0ms (86.3% of total)

ival-sqrt: 30.0ms (6.9% of total)

ival-div: 15.0ms (3.5% of total)

ival-add: 12.0ms (2.8% of total)

ival-sub: 1.0ms (0.2% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.7%)

Memory

-1.1MiB live, 78.5MiB allocated

Counts

21 → 80

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((/ 1 (/ 2 (+ (* (sqrt z) y) x))) (/ 2 (+ (* (sqrt z) y) x)) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (/ y x) (sqrt z)) 1) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (/ 2 y) (sqrt (/ 1 z))) (/ 2 y) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (* 2 (- (sqrt (/ 1 z)) (/ (/ x y) z))) y) (* 2 (- (sqrt (/ 1 z)) (/ (/ x y) z))) (sqrt (/ 1 z)) (/ (/ x y) z))
7.0ms	z	@	0	((/ 1 (/ 2 (+ (* (sqrt z) y) x))) (/ 2 (+ (* (sqrt z) y) x)) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (/ y x) (sqrt z)) 1) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (/ 2 y) (sqrt (/ 1 z))) (/ 2 y) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (* 2 (- (sqrt (/ 1 z)) (/ (/ x y) z))) y) (* 2 (- (sqrt (/ 1 z)) (/ (/ x y) z))) (sqrt (/ 1 z)) (/ (/ x y) z))
4.0ms	z	@	-inf	((/ 1 (/ 2 (+ (* (sqrt z) y) x))) (/ 2 (+ (* (sqrt z) y) x)) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (/ y x) (sqrt z)) 1) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (/ 2 y) (sqrt (/ 1 z))) (/ 2 y) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (* 2 (- (sqrt (/ 1 z)) (/ (/ x y) z))) y) (* 2 (- (sqrt (/ 1 z)) (/ (/ x y) z))) (sqrt (/ 1 z)) (/ (/ x y) z))
3.0ms	y	@	-inf	((/ 1 (/ 2 (+ (* (sqrt z) y) x))) (/ 2 (+ (* (sqrt z) y) x)) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (/ y x) (sqrt z)) 1) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (/ 2 y) (sqrt (/ 1 z))) (/ 2 y) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (* 2 (- (sqrt (/ 1 z)) (/ (/ x y) z))) y) (* 2 (- (sqrt (/ 1 z)) (/ (/ x y) z))) (sqrt (/ 1 z)) (/ (/ x y) z))
3.0ms	y	@	0	((/ 1 (/ 2 (+ (* (sqrt z) y) x))) (/ 2 (+ (* (sqrt z) y) x)) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (/ y x) (sqrt z)) 1) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (* (/ 2 y) (sqrt (/ 1 z))) (/ 2 y) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (* 2 (- (sqrt (/ 1 z)) (/ (/ x y) z))) y) (* 2 (- (sqrt (/ 1 z)) (/ (/ x y) z))) (sqrt (/ 1 z)) (/ (/ x y) z))

simplify130.0ms (2.3%)

Memory

19.6MiB live, 175.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	1276
1	1115	1180
2	3618	1116
0	8131	1068

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 79

Calls

Call 1

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

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

rewrite461.0ms (8.1%)

Memory

-121.2MiB live, 199.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	235
0	61	229
1	208	210
2	1310	210
0	8401	210

Stop Event

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

Counts

21 → 528

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z))))) #s(literal 2 binary64)) (/.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z))))) #s(literal 2 binary64)) (/.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (.f64 x x)) #s(literal 2 binary64)) (/.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(.f64 (/.f64 (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (.f64 x x)) #s(literal 2 binary64)) (/.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 y y) z (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (.f64 (.f64 y y) z))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 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)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 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)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 y (sqrt.f64 z) x)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) (/.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 x (.f64 y (sqrt.f64 z)))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) 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 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) z)) #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 (.f64 y y) z (.f64 x (-.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 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (.f64 (.f64 y y) z)))) (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 (.f64 y y) z (.f64 x (-.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 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.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)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z))))))
(/.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)) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (*.f64 (neg.f64 x) x))) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (.f64 (.f64 y y) z))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.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)))) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z))))))
(/.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)))) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) z))) (neg.f64 (.f64 #s(literal 2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (neg.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)))) (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z))))))))
(/.f64 (neg.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)))) (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) z)) (.f64 #s(literal 2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.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))) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))))
(/.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))) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 y (sqrt.f64 z) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y y) z) (.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))) (/.f64 (.f64 x x) (*.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 (.f64 (.f64 y y) z) (.f64 #s(literal 2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))
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(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) z))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) z) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) z) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x z) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) z))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) z))
(.f64 x (pow.f64 (.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) z))
(pow.f64 (/.f64 (*.f64 y z) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y x) z) #s(literal -1 binary64))
(pow.f64 (*.f64 z (/.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (.f64 (neg.f64 y) (neg.f64 z))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 y (neg.f64 z))))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 y z)))
(/.f64 (/.f64 x z) y)
(/.f64 (*.f64 (neg.f64 x) (pow.f64 z #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 z (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (*.f64 y z))))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) z))
(/.f64 (.f64 x #s(literal -1 binary64)) (.f64 y (neg.f64 z)))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y z))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (neg.f64 x) (*.f64 z (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y z) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z (/.f64 y x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y x) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (/.f64 y x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 x y) z)
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y x))
(/.f64 x (*.f64 y z))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 z (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z))
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (/.f64 (neg.f64 x) y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z (neg.f64 y))) (/.f64 x (.f64 z (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y z))) (/.f64 (/.f64 (neg.f64 x) y) z))
(exp.f64 (.f64 (log.f64 (.f64 z (/.f64 y x))) #s(literal -1 binary64)))

eval98.0ms (1.7%)

Memory: -7.0MiB live, 151.2MiB allocated
Compiler: Compiled 16 332 to 2 743 computations (83.2% saved)

prune16.0ms (0.3%)

Memory

7.5MiB live, 45.1MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	640	4	644
Fresh	1	2	3
Picked	3	2	5
Done	0	3	3
Total	644	11	655

Accuracy

100.0%

Counts

655 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
▶	49.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))))
▶	49.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) y)))
✓	49.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
✓	99.7%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	83.1%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)))
▶	87.6%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) x)))
✓	49.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	92.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 287 to 235 computations (18.1% saved)

simplify192.0ms (3.4%)

Memory

-17.0MiB live, 180.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)))
cost-diff	704	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
cost-diff	0	(/.f64 #s(literal 2 binary64) (sqrt.f64 z))
cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) y)
cost-diff	0	#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) y)))
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(literal 2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))))
cost-diff	0	(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) x)))
cost-diff	1024	(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) x)
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	290
0	64	286
1	98	282
2	147	282
3	201	282
4	336	269
5	426	269
6	1356	269
7	2467	269
8	2804	269
9	2859	269
10	2934	269
11	3002	269
12	3123	269
13	4109	269
14	5297	269
15	6269	269
16	6977	269
17	7251	269
18	7598	269
0	8263	256

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

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

localize99.0ms (1.7%)

Memory

3.3MiB live, 166.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
accuracy	0.1328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.3593722476055602	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
accuracy	10.741725470400096	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) y)))
accuracy	0.21875	(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) y)
accuracy	0.28125	(/.f64 #s(literal 2 binary64) (sqrt.f64 z))
accuracy	32.50965477856746	#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) y))
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))))
accuracy	0.265625	(*.f64 (sqrt.f64 z) y)
accuracy	0.39546883405302236	(/.f64 #s(literal 2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)))
accuracy	32.4626073247736	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) x))
accuracy	0.1875	(/.f64 (sqrt.f64 z) x)
accuracy	1.745976628264299	(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
accuracy	6.218168901467943	(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) x)
accuracy	0	(*.f64 z y)
accuracy	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	0.1328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	4.502817862389219	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)

Samples

63.0ms

256×

valid

Compiler

Compiled 507 to 80 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 17.0ms (40.2% of total)

ival-div: 16.0ms (37.9% of total)

ival-add: 5.0ms (11.8% of total)

ival-sqrt: 3.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.5%)

Memory

8.5MiB live, 49.8MiB allocated

Counts

22 → 78

Calls

Call 1

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

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

Calls

9 calls:

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

simplify134.0ms (2.3%)

Memory

13.9MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	1221
1	1087	1115
2	3620	1056
0	8669	1008

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 77

Calls

Call 1

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

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

rewrite145.0ms (2.5%)

Memory

-17.7MiB live, 174.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	248
0	64	246
1	220	234
2	1310	228
0	8745	212

Stop Event

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

Counts

22 → 582

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64)))
(.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))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (.f64 x x)) #s(literal -1 binary64)))
(.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))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (*.f64 y y) z)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (.f64 (.f64 y y) z))) (pow.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (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 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (.f64 x x)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 (*.f64 y y) z))) (neg.f64 (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 y y) z)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (fma.f64 y (neg.f64 z) (.f64 (sqrt.f64 z) (.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 z) (neg.f64 z)))
(/.f64 (fma.f64 y (neg.f64 z) (.f64 (sqrt.f64 z) (neg.f64 x))) (.f64 (sqrt.f64 z) (neg.f64 z)))
(/.f64 (fma.f64 y (/.f64 (neg.f64 z) x) (.f64 (sqrt.f64 z) #s(literal -1 binary64))) (.f64 (sqrt.f64 z) (/.f64 (neg.f64 z) x)))
(/.f64 (fma.f64 z y (*.f64 (sqrt.f64 z) x)) (pow.f64 z #s(literal 3/2 binary64)))
(/.f64 (fma.f64 y (/.f64 z x) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (/.f64 z x)))
(/.f64 (fma.f64 (.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (.f64 (neg.f64 z) y)) (*.f64 (neg.f64 z) (sqrt.f64 z)))
(/.f64 (fma.f64 (neg.f64 x) (sqrt.f64 z) (.f64 (neg.f64 z) y)) (.f64 (neg.f64 z) (sqrt.f64 z)))
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (.f64 (/.f64 (neg.f64 z) x) y)) (.f64 (/.f64 (neg.f64 z) x) (sqrt.f64 z)))
(/.f64 (fma.f64 x (sqrt.f64 z) (*.f64 z y)) (pow.f64 z #s(literal 3/2 binary64)))
(/.f64 (+.f64 (sqrt.f64 z) (.f64 (/.f64 z x) y)) (.f64 (/.f64 z x) (sqrt.f64 z)))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 (*.f64 y y) z)) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y y) z) (.f64 (/.f64 (/.f64 y (sqrt.f64 z)) z) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 y y) z))))
(/.f64 (-.f64 (/.f64 (*.f64 y y) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y y) z) (.f64 (/.f64 (/.f64 y (sqrt.f64 z)) z) x))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 y y) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 (*.f64 y y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y y) z) (.f64 (/.f64 (/.f64 y (sqrt.f64 z)) z) x))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 y y) z))))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 y y) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 y y) z)))))
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x z))
(fma.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x z))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (/.f64 (*.f64 y y) z) (pow.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64) (/.f64 x z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) x (/.f64 y (sqrt.f64 z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(-.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))) (/.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (neg.f64 x) z))
(+.f64 (/.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 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 1/4 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 -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 z))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #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 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 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) (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 (.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 (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) x))
(*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x))
(pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 z)))
(/.f64 (sqrt.f64 z) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 z))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (sqrt.f64 z)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 z))) #s(literal -1 binary64)))

eval85.0ms (1.5%)

Memory: 12.6MiB live, 128.1MiB allocated
Compiler: Compiled 18 221 to 2 705 computations (85.2% saved)

prune17.0ms (0.3%)

Memory

0.6MiB live, 38.8MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	669	4	673
Fresh	1	0	1
Picked	4	1	5
Done	1	4	5
Total	675	9	684

Accuracy

100.0%

Counts

684 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 z)) y)))
✓	99.7%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	49.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
	43.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)))
	99.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)))
	94.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)))
	92.9%	#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)))
✓	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 581 to 254 computations (56.3% saved)

regimes51.0ms (0.9%)

Memory

20.6MiB live, 58.5MiB allocated

Counts

25 → 1

Calls

Call 1

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

Calls

7 calls:

9.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
7.0ms	(sqrt.f64 z)
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
7.0ms	x
7.0ms	z

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes18.0ms (0.3%)

Memory

-10.9MiB live, 26.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.7%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.7%	1	`(*.f64 y (sqrt.f64 z))`
99.7%	1	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes17.0ms (0.3%)

Memory

-18.8MiB live, 24.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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:

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	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	x

Results

Accuracy	Segments	Branch
79.3%	3	`x`
76.5%	3	`y`
66.7%	4	`z`
61.8%	5	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
61.8%	5	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
77.5%	3	`(*.f64 y (sqrt.f64 z))`
66.7%	4	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes9.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch28.0ms (0.5%)

Memory

-5.8MiB live, 31.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.854747225422223e+25	5.341888102222647e+25
18.0ms	-6.206605951375947e+34	-2215539117725965000.0

Samples

16.0ms

240×

valid

Compiler

Compiled 478 to 466 computations (2.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sqrt: 4.0ms (39.2% of total)

ival-mult: 3.0ms (29.4% of total)

ival-div: 2.0ms (19.6% of total)

ival-add: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify26.0ms (0.5%)

Memory

1.5MiB live, 39.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	74
1	37	74

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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 -3400000000000000050331648 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 19000000000000000218103808 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
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 (+.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -3400000000000000050331648 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 19000000000000000218103808 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 (<=.f64 x #s(literal -3400000000000000050331648 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 x #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 19000000000000000218103808 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64)))

soundness434.0ms (7.6%)

Memory

7.0MiB live, 243.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	41	21
2	234	21
3	2001	21
0	8162	19
0	75	158
1	251	158
2	801	158
3	2298	150
4	5055	150
5	7539	150
0	8131	135

Stop Event

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

Compiler

Compiled 148 to 71 computations (52% saved)

preprocess31.0ms (0.5%)

Memory: 15.1MiB live, 52.4MiB allocated
Compiler: Compiled 184 to 74 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	27	149
0	43	120
1	71	118
2	109	118
3	179	118
4	206	118
5	209	118
6	210	118
0	210	118

Iter	Nodes	Cost
0	27	149
0	43	120
1	71	118
2	109	118
3	179	118
4	206	118
5	209	118
6	210	118
0	210	118

start0.0ms (0%)

analyze45.0ms (0.8%)

sample1.2s (21.4%)

explain214.0ms (3.7%)

preprocess72.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize39.0ms (0.7%)

series7.0ms (0.1%)

simplify184.0ms (3.2%)

rewrite219.0ms (3.8%)

eval68.0ms (1.2%)

prune9.0ms (0.2%)

simplify8.0ms (0.1%)

localize105.0ms (1.8%)

series69.0ms (1.2%)

simplify231.0ms (4%)

rewrite239.0ms (4.2%)

eval92.0ms (1.6%)

prune40.0ms (0.7%)

simplify279.0ms (4.9%)

localize503.0ms (8.8%)

series42.0ms (0.7%)

simplify130.0ms (2.3%)

rewrite461.0ms (8.1%)

eval98.0ms (1.7%)

prune16.0ms (0.3%)

simplify192.0ms (3.4%)

localize99.0ms (1.7%)

series28.0ms (0.5%)

simplify134.0ms (2.3%)

rewrite145.0ms (2.5%)

eval85.0ms (1.5%)

prune17.0ms (0.3%)

regimes51.0ms (0.9%)

regimes18.0ms (0.3%)

regimes17.0ms (0.3%)

regimes9.0ms (0.2%)

bsearch28.0ms (0.5%)

simplify26.0ms (0.5%)

soundness434.0ms (7.6%)

preprocess31.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	149
0	43	120
1	71	118
2	109	118
3	179	118
4	206	118
5	209	118
6	210	118
0	210	118