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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze110.0ms (1.7%)

Memory

-26.6MiB live, 75.4MiB 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)

sample1.9s (28.8%)

Memory

57.7MiB live, 1 890.5MiB allocated

Samples

888.0ms	8 256×	0	valid
309.0ms	2 072×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 682.0ms

ival-div: 322.0ms (47.2% of total)

ival-mult: 182.0ms (26.7% of total)

ival-sqrt: 99.0ms (14.5% of total)

ival-add: 54.0ms (7.9% of total)

exact: 11.0ms (1.6% of total)

ival-true: 8.0ms (1.2% of total)

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

Bogosity

explain188.0ms (2.9%)

Memory

-13.4MiB live, 128.0MiB 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

Samples

45.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 11.0ms (41.1% of total)

ival-mult: 7.0ms (26.2% of total)

ival-sqrt: 4.0ms (15% of total)

ival-add: 3.0ms (11.2% of total)

exact: 1.0ms (3.7% of total)

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

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

preprocess55.0ms (0.8%)

Memory

-2.8MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify9.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.7%)

Memory

-30.0MiB live, 23.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.2109375	(*.f64 y (sqrt.f64 z))

Samples

17.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (35.9% of total)

ival-div: 2.0ms (23.9% of total)

ival-sqrt: 2.0ms (23.9% of total)

ival-add: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB 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
2.0ms	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))

simplify139.0ms (2.1%)

Memory

22.6MiB live, 153.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite275.0ms (4.2%)

Memory

-18.4MiB live, 300.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 387

Calls

Call 1

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

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

eval51.0ms (0.8%)

Memory: 20.2MiB live, 108.0MiB allocated
Compiler: Compiled 13 680 to 1 346 computations (90.2% saved)

prune44.0ms (0.7%)

Memory

-19.9MiB live, 36.1MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	384	13	397
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	385	13	398

Accuracy

100.0%

Counts

398 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(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)))
▶	54.9%	(/.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))
	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	51.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 (sqrt.f64 z) y)) (sqrt.f64 (*.f64 (sqrt.f64 z) y)) x))
	47.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
	25.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 z (/.f64 (.f64 y y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
▶	37.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 y (/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
	64.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
	88.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	93.9%	#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)))
	50.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	49.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 430 to 330 computations (23.3% saved)

simplify113.0ms (1.7%)

Memory

9.0MiB live, 54.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	254
0	62	254
1	115	242
2	241	242
3	637	242
4	1513	242
5	2946	242
6	3796	242
7	3894	242
8	3894	242
9	3899	242
10	3919	242
11	3939	242
12	3944	242
13	3944	242
0	3944	236

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

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

localize129.0ms (2%)

Memory

-9.9MiB live, 225.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(*.f64 (sqrt.f64 z) y)
accuracy	0.6437933732017074	(.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))
accuracy	1.3162159505298359	(/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	10.038367861821548	(/.f64 (.f64 z y) (-.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0.01171875	(-.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	0.2109375	(*.f64 (sqrt.f64 z) y)
accuracy	2.1210813644770927	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
accuracy	28.145753228612424	(/.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))
accuracy	0.0	(*.f64 z y)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	3.8642165097888377	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	32.099978310181925	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.2109375	(*.f64 y (sqrt.f64 z))

Samples

102.0ms

256×

valid

Compiler

Compiled 255 to 35 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 55.0ms (72.8% of total)

ival-div: 8.0ms (10.6% of total)

ival-add: 5.0ms (6.6% of total)

ival-sqrt: 5.0ms (6.6% of total)

ival-sub: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.9%)

Memory

7.5MiB live, 152.7MiB allocated

Counts

22 → 181

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (/ 1 2) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* z y) (- (* (sqrt z) y) x)) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (/ x (- (* (sqrt z) y) x)) (* x (/ x (- (* (sqrt z) y) x))))
9.0ms	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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (/ 1 2) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* z y) (- (* (sqrt z) y) x)) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (/ x (- (* (sqrt z) y) x)) (* x (/ x (- (* (sqrt z) y) x))))
6.0ms	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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (/ 1 2) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* z y) (- (* (sqrt z) y) x)) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (/ x (- (* (sqrt z) y) x)) (* x (/ x (- (* (sqrt z) y) x))))
6.0ms	x	@	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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (/ 1 2) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* z y) (- (* (sqrt z) y) x)) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (/ x (- (* (sqrt z) y) x)) (* x (/ x (- (* (sqrt z) y) x))))
5.0ms	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) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (/ 1 2) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* z y) (- (* (sqrt z) y) x)) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (/ x (- (* (sqrt z) y) x)) (* x (/ x (- (* (sqrt z) y) x))))

simplify226.0ms (3.4%)

Memory

2.9MiB live, 282.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	847	4511
1	3086	4214
0	8302	4021

Stop Event

1×	iter limit
1×	node limit

Counts

181 → 180

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

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

rewrite280.0ms (4.3%)

Memory

-16.1MiB live, 465.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	205
0	62	189
1	192	175
2	1181	173
0	9058	163

Stop Event

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

Counts

22 → 1 545

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

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

eval700.0ms (10.7%)

Memory: 52.6MiB live, 323.2MiB allocated
Compiler: Compiled 49 316 to 4 411 computations (91.1% saved)

prune71.0ms (1.1%)

Memory

-25.4MiB live, 109.0MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 224	8	1 232
Fresh	6	2	8
Picked	2	3	5
Done	0	0	0
Total	1 232	13	1 245

Accuracy

100.0%

Counts

1 245 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	64.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
	94.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 z y) x))
	92.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) z) y (.f64 (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)) (neg.f64 x))))
▶	94.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 (*.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	86.5%	(.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)))
▶	83.8%	(.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)))
	50.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	2.2%	#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
▶	93.9%	#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)))
✓	93.9%	#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)))
✓	49.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 384 to 297 computations (22.7% saved)

simplify308.0ms (4.7%)

Memory

31.3MiB live, 356.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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	2	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
cost-diff	0	(/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 (*.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))))
cost-diff	1	(+.f64 x (/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z)))
cost-diff	2	(.f64 (.f64 z y) #s(literal 1 binary64))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
cost-diff	2	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	224
0	64	210
1	124	203
2	282	203
3	832	203
4	2076	200
5	3387	200
6	4307	200
7	4901	200
8	6744	200
0	8320	191

Stop Event

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

Calls

Call 1

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

localize148.0ms (2.3%)

Memory

-17.8MiB live, 190.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.6093694952111204	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
accuracy	10.282602852464992	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 (*.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z)))
accuracy	6.142197967801536	(/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	3.8642165097888377	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	32.18139166515087	#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.11328125	(fma.f64 (sqrt.f64 z) y x)

Samples

127.0ms

256×

valid

Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-add: 56.0ms (55.5% of total)

ival-mult: 27.0ms (26.8% of total)

ival-div: 12.0ms (11.9% of total)

ival-sqrt: 4.0ms (4% of total)

ival-sub: 1.0ms (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 (0.4%)

Memory

1.5MiB live, 47.5MiB allocated

Counts

19 → 65

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (* z y) 1) (+ x (/ (* (* z y) 1) (sqrt z))) (* 1/2 (+ x (/ (* (* z y) 1) (sqrt z)))) (/ (* (* z y) 1) (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)) (/ 1 (sqrt z)) (sqrt (/ 1 z)))
6.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (* z y) 1) (+ x (/ (* (* z y) 1) (sqrt z))) (* 1/2 (+ x (/ (* (* z y) 1) (sqrt z)))) (/ (* (* z y) 1) (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)) (/ 1 (sqrt z)) (sqrt (/ 1 z)))
2.0ms	z	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (* z y) 1) (+ x (/ (* (* z y) 1) (sqrt z))) (* 1/2 (+ x (/ (* (* z y) 1) (sqrt z)))) (/ (* (* z y) 1) (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)) (/ 1 (sqrt z)) (sqrt (/ 1 z)))
2.0ms	y	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (* z y) 1) (+ x (/ (* (* z y) 1) (sqrt z))) (* 1/2 (+ x (/ (* (* z y) 1) (sqrt z)))) (/ (* (* z y) 1) (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)) (/ 1 (sqrt z)) (sqrt (/ 1 z)))
2.0ms	x	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (* z y) 1) (+ x (/ (* (* z y) 1) (sqrt z))) (* 1/2 (+ x (/ (* (* z y) 1) (sqrt z)))) (/ (* (* z y) 1) (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)) (/ 1 (sqrt z)) (sqrt (/ 1 z)))

simplify144.0ms (2.2%)

Memory

3.3MiB live, 181.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	294	1252
1	1079	1094
2	4581	1041
0	8373	984

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite219.0ms (3.3%)

Memory

10.6MiB live, 292.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	190
0	64	164
1	225	151
2	1404	146
0	8757	142

Stop Event

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

Counts

19 → 1 098

Calls

Call 1

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

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

eval78.0ms (1.2%)

Memory: 0.4MiB live, 133.0MiB allocated
Compiler: Compiled 19 386 to 2 247 computations (88.4% saved)

prune72.0ms (1.1%)

Memory

-8.0MiB live, 46.1MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	567	6	573
Fresh	4	1	5
Picked	3	2	5
Done	0	3	3
Total	574	12	586

Accuracy

100.0%

Counts

586 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.0%	(.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 y z) x) #s(literal 1/2 binary64))
▶	91.9%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	99.7%	(*.f64 (fma.f64 y (/.f64 z (sqrt.f64 z)) x) #s(literal 1/2 binary64))
	64.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	50.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
▶	94.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 y z) (sqrt.f64 z))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	44.6%	(.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)))
✓	2.2%	#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
✓	93.9%	#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)))
✓	49.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 264 to 219 computations (17% saved)

simplify21.0ms (0.3%)

Memory

27.3MiB live, 27.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	225
0	57	223
1	84	223
2	138	223
3	248	223
4	405	223
5	511	223
6	563	223
7	605	223
8	621	223
9	631	223
10	641	223
0	641	215

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (1.4%)

Memory

-18.8MiB live, 119.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.19921875	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy	10.282602852464992	(.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)
accuracy	30.47127124320772	#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 y z) (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	6.142197967801536	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	0.0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.23828125	(/.f64 y (sqrt.f64 z))
accuracy	5.1621077738584065	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0.0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.2109375	(*.f64 (sqrt.f64 z) y)
accuracy	31.556433462931068	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(*.f64 (fma.f64 y (/.f64 z (sqrt.f64 z)) x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.11328125	(fma.f64 y (/.f64 z (sqrt.f64 z)) x)
accuracy	0.51171875	(/.f64 z (sqrt.f64 z))

Samples

69.0ms

256×

valid

Compiler

Compiled 167 to 32 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 18.0ms (36.1% of total)

ival-sqrt: 13.0ms (26% of total)

ival-add: 10.0ms (20% of total)

ival-div: 8.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

26.4MiB live, 26.3MiB allocated

Counts

20 → 40

Calls

Call 1

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

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

Calls

9 calls:

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

simplify133.0ms (2%)

Memory

9.1MiB live, 147.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	339
1	392	318
2	1447	314
3	4201	300
4	6227	300
0	8090	280

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

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

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

rewrite188.0ms (2.9%)

Memory

7.8MiB live, 337.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	197
0	57	193
1	179	184
2	915	176
0	8976	172

Stop Event

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

Counts

20 → 431

Calls

Call 1

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

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

eval73.0ms (1.1%)

Memory: -36.6MiB live, 157.1MiB allocated
Compiler: Compiled 6 797 to 935 computations (86.2% saved)

prune21.0ms (0.3%)

Memory

-1.3MiB live, 45.1MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	255	1	256
Fresh	0	2	2
Picked	1	4	5
Done	0	5	5
Total	256	12	268

Accuracy

100.0%

Counts

268 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.0%	(.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 y z) x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.7%	(*.f64 (fma.f64 y (/.f64 z (sqrt.f64 z)) x) #s(literal 1/2 binary64))
	64.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
✓	50.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
	44.6%	(.f64 #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) z)) #s(literal 1/2 binary64))
✓	94.0%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 y z) (sqrt.f64 z))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	44.6%	(.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)))
✓	2.2%	#s(approx (* (/ 1 2) (+ (* y (/ (* z y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
✓	93.9%	#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)))
✓	49.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 671 to 293 computations (56.3% saved)

regimes65.0ms (1%)

Memory

25.7MiB live, 124.5MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

7 calls:

15.0ms	x
12.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
8.0ms	z
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
7.0ms	y

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes18.0ms (0.3%)

Memory

-7.2MiB live, 39.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
62.9%	4	`(sqrt.f64 z)`
81.3%	3	`(*.f64 y (sqrt.f64 z))`
66.1%	5	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
66.1%	5	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
76.4%	3	`x`
78.9%	3	`y`
62.9%	4	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes12.0ms (0.2%)

Memory

-19.2MiB live, 27.2MiB allocated

Accuracy

Total -30.9b remaining (-96.4%)

Threshold costs -30.9b (-96.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
49.8%	1	`(sqrt.f64 z)`
49.8%	1	`z`
49.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
49.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
49.8%	1	`x`
49.8%	1	`y`
49.8%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1261849.6319181724	30252862.659371614
0.0ms	-6.125665364135274e+92	-5.9258394885442295e+81

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify16.0ms (0.2%)

Memory

33.9MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	61
1	44	61
2	69	61
3	117	61
4	179	61
5	205	61
6	216	61
7	234	61
8	245	61
9	255	61
10	265	61

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -500000000000000021688648487309593036645146662475969655895886894668058406444840555470661877760 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2000000 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))))

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

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -500000000000000021688648487309593036645146662475969655895886894668058406444840555470661877760 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2000000 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (or (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -500000000000000021688648487309593036645146662475969655895886894668058406444840555470661877760 binary64)) (not (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 2000000 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))

soundness466.0ms (7.1%)

Memory

-9.3MiB live, 272.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 115 to 59 computations (48.7% saved)

preprocess42.0ms (0.6%)

Memory: -3.0MiB live, 40.5MiB allocated
Compiler: Compiled 154 to 74 computations (51.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	36	225
0	57	223
1	84	223
2	138	223
3	248	223
4	405	223
5	511	223
6	563	223
7	605	223
8	621	223
9	631	223
10	641	223
0	641	215

Iter	Nodes	Cost
0	26	61
1	44	61
2	69	61
3	117	61
4	179	61
5	205	61
6	216	61
7	234	61
8	245	61
9	255	61
10	265	61

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

Iter	Nodes	Cost
0	36	225
0	57	223
1	84	223
2	138	223
3	248	223
4	405	223
5	511	223
6	563	223
7	605	223
8	621	223
9	631	223
10	641	223
0	641	215

Iter	Nodes	Cost
0	26	61
1	44	61
2	69	61
3	117	61
4	179	61
5	205	61
6	216	61
7	234	61
8	245	61
9	255	61
10	265	61

start0.0ms (0%)

analyze110.0ms (1.7%)

sample1.9s (28.8%)

explain188.0ms (2.9%)

preprocess55.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.1%)

localize48.0ms (0.7%)

series8.0ms (0.1%)

simplify139.0ms (2.1%)

rewrite275.0ms (4.2%)

eval51.0ms (0.8%)

prune44.0ms (0.7%)

simplify113.0ms (1.7%)

localize129.0ms (2%)

series56.0ms (0.9%)

simplify226.0ms (3.4%)

rewrite280.0ms (4.3%)

eval700.0ms (10.7%)

prune71.0ms (1.1%)

simplify308.0ms (4.7%)

localize148.0ms (2.3%)

series28.0ms (0.4%)

simplify144.0ms (2.2%)

rewrite219.0ms (3.3%)

eval78.0ms (1.2%)

prune72.0ms (1.1%)

simplify21.0ms (0.3%)

localize90.0ms (1.4%)

series15.0ms (0.2%)

simplify133.0ms (2%)

rewrite188.0ms (2.9%)

eval73.0ms (1.1%)

prune21.0ms (0.3%)

regimes65.0ms (1%)

regimes18.0ms (0.3%)

regimes12.0ms (0.2%)

bsearch1.0ms (0%)

simplify16.0ms (0.2%)

soundness466.0ms (7.1%)

preprocess42.0ms (0.6%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	36	225
0	57	223
1	84	223
2	138	223
3	248	223
4	405	223
5	511	223
6	563	223
7	605	223
8	621	223
9	631	223
10	641	223
0	641	215

Iter	Nodes	Cost
0	26	61
1	44	61
2	69	61
3	117	61
4	179	61
5	205	61
6	216	61
7	234	61
8	245	61
9	255	61
10	265	61