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

start0.0ms (0%)

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

analyze63.0ms (1.1%)

Memory

24.7MiB live, 66.6MiB allocated; 12ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.4s (24.2%)

Memory

-2.9MiB live, 1 935.4MiB allocated; 352ms collecting garbage

Samples

678.0ms	8 256×	0	valid
178.0ms	1 993×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-mult: 176.0ms (36.2% of total)

ival-sqrt: 117.0ms (24.1% of total)

ival-div: 106.0ms (21.8% of total)

ival-add: 62.0ms (12.8% of total)

exact: 10.0ms (2.1% of total)

ival-true: 8.0ms (1.6% of total)

ival-assert: 4.0ms (0.8% of total)

adjust: 3.0ms (0.6% of total)

Bogosity

explain167.0ms (2.9%)

Memory

36.8MiB live, 229.7MiB allocated; 12ms collecting garbage

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

66.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sqrt: 23.0ms (47.4% of total)

ival-div: 15.0ms (30.9% of total)

ival-mult: 7.0ms (14.4% of total)

ival-add: 3.0ms (6.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess62.0ms (1.1%)

Memory

-29.5MiB live, 61.7MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

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 (0.2%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

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

localize39.0ms (0.7%)

Memory

-6.0MiB live, 39.5MiB allocated; 5ms collecting garbage

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	0.2421875	(*.f64 y (sqrt.f64 z))

Samples

32.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 17.0ms (74.4% of total)

ival-div: 2.0ms (8.8% of total)

ival-sqrt: 2.0ms (8.8% of total)

ival-add: 1.0ms (4.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

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))

simplify250.0ms (4.4%)

Memory

-22.9MiB live, 103.1MiB allocated; 105ms collecting garbage

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)

rewrite259.0ms (4.5%)

Memory

-2.3MiB live, 277.2MiB allocated; 42ms collecting garbage

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))))

eval52.0ms (0.9%)

Memory: -12.8MiB live, 128.9MiB allocated; 16ms collecting garbage
Compiler: Compiled 13 680 to 1 346 computations (90.2% saved)

prune63.0ms (1.1%)

Memory

-7.0MiB live, 39.9MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	383	14	397
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	14	398

Accuracy

100.0%

Counts

398 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(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)))
▶	52.2%	(/.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))
	40.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
▶	25.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
	45.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
	25.9%	(.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)))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
▶	61.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
	86.5%	(.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)))))
	94.3%	#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)))
	88.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))))
	53.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	48.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 508 to 386 computations (24% saved)

simplify90.0ms (1.6%)

Memory

27.0MiB live, 79.7MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	7	(fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))))
cost-diff	0	(*.f64 z 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	(sqrt.f64 (.f64 (.f64 z y) y))
cost-diff	0	(+.f64 x (sqrt.f64 (.f64 (.f64 z y) y)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 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	(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	35	229
0	62	228
1	121	216
2	267	216
3	745	216
4	1781	216
5	2935	216
6	3412	216
7	3458	216
8	3488	216
9	3518	216
10	3518	216
0	3518	214

Stop Event

1×	iter limit
1×	saturated
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) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (sqrt.f64 (.f64 (.f64 z y) y)))
x
(sqrt.f64 (.f64 (.f64 z y) y))
(.f64 (.f64 z y) y)
(*.f64 z y)
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))
(*.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 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))))
(*.f64 y y)
y
(/.f64 z (-.f64 (*.f64 (sqrt.f64 z) y) x))
z
(-.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
x
(.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x)))
(/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))

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

localize110.0ms (1.9%)

Memory

0.5MiB live, 138.5MiB allocated; 8ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	2.380428700587421	(/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	4.628943317546831	(/.f64 z (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	14.948024797352327	(fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 (sqrt.f64 z) y) x))))
accuracy	0.015625	(-.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	3.195305619265972	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
accuracy	29.957219137529897	(/.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	0.0078125	(+.f64 x (sqrt.f64 (.f64 (.f64 z y) y)))
accuracy	0.1171875	(.f64 (.f64 z y) y)
accuracy	22.137364547128957	(sqrt.f64 (.f64 (.f64 z y) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	33.094335353721874	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.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	0.1328125	(fma.f64 (sqrt.f64 z) y x)

Samples

84.0ms

256×

valid

Compiler

Compiled 244 to 35 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 28.0ms (60.4% of total)

ival-div: 6.0ms (12.9% of total)

ival-add: 6.0ms (12.9% of total)

ival-sqrt: 4.0ms (8.6% of total)

ival-sub: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series76.0ms (1.3%)

Memory

-24.4MiB live, 77.9MiB allocated; 26ms collecting garbage

Counts

21 → 160

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

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

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	y	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) 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)) (* z y) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* y y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x) (/ z (- (* (sqrt z) y) x)) (/ x (- (* (sqrt z) y) x)))
10.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) 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)) (* z y) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* y y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x) (/ z (- (* (sqrt z) y) x)) (/ x (- (* (sqrt z) y) x)))
6.0ms	y	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) 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)) (* z y) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* y y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x) (/ z (- (* (sqrt z) y) x)) (/ x (- (* (sqrt z) y) x)))
6.0ms	z	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) 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)) (* z y) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* y y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x) (/ z (- (* (sqrt z) y) x)) (/ x (- (* (sqrt z) y) x)))
4.0ms	y	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) 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)) (* z y) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* y y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x) (/ z (- (* (sqrt z) y) x)) (/ x (- (* (sqrt z) y) x)))

simplify216.0ms (3.8%)

Memory

32.3MiB live, 219.7MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	3857
1	2731	3405
0	8955	3250

Stop Event

1×	iter limit
1×	node limit

Counts

160 → 159

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

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

rewrite241.0ms (4.2%)

Memory

-13.8MiB live, 267.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	175
0	62	159
1	198	145
2	1301	143
0	8765	141

Stop Event

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

Counts

21 → 1 556

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

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

eval219.0ms (3.9%)

Memory: 36.6MiB live, 403.8MiB allocated; 56ms collecting garbage
Compiler: Compiled 54 798 to 4 714 computations (91.4% saved)

prune40.0ms (0.7%)

Memory

2.1MiB live, 101.3MiB allocated; 20ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1 279	10	1 289
Fresh	8	1	9
Picked	3	2	5
Done	0	0	0
Total	1 290	13	1 303

Accuracy

100.0%

Counts

1 303 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.4%	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
	87.1%	(.f64 (fma.f64 (/.f64 x (-.f64 (.f64 y (sqrt.f64 z)) x)) (neg.f64 x) (.f64 (.f64 (/.f64 z (-.f64 (*.f64 y (sqrt.f64 z)) x)) y) y)) #s(literal 1/2 binary64))
	45.7%	(.f64 (fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 y) x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	29.5%	(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y z) y)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
	86.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
	78.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
	53.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
▶	61.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	2.3%	#s(approx (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
▶	94.3%	#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)))
✓	48.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
▶	88.7%	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))

Compiler

Compiled 443 to 326 computations (26.4% saved)

simplify149.0ms (2.6%)

Memory

2.1MiB live, 177.7MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y y) z)
cost-diff	0	#s(approx (+ (* (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z))
cost-diff	0	(.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
cost-diff	0	(/.f64 (*.f64 (sqrt.f64 z) y) x)
cost-diff	0	(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
cost-diff	4	(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 (.f64 z y) y)
cost-diff	0	(sqrt.f64 (.f64 (.f64 z y) y))
cost-diff	0	(+.f64 x (sqrt.f64 (.f64 (.f64 z y) y)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	264
0	77	261
1	153	254
2	349	254
3	974	254
4	2482	248
5	4658	248
6	6462	248
7	7636	248
0	8101	243

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (2.1%)

Memory

-18.1MiB live, 268.6MiB allocated; 30ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	8.448585433889878	(.f64 (.f64 y y) z)
accuracy	27.79515536749815	#s(approx (+ (* (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z))
accuracy	29.957219137529897	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	0.00390625	(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	3.246947770303285	(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	7.162340524470259	(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
accuracy	0.0078125	(+.f64 x (sqrt.f64 (.f64 (.f64 z y) y)))
accuracy	0.1171875	(.f64 (.f64 z y) y)
accuracy	22.137364547128957	(sqrt.f64 (.f64 (.f64 z y) y))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	33.125233254762335	#s(approx (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
accuracy	0.0	(*.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	0.12109375	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	3.6277105063314243	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)

Samples

89.0ms

256×

valid

Compiler

Compiled 228 to 46 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 42.0ms (62% of total)

ival-div: 10.0ms (14.8% of total)

ival-add: 8.0ms (11.8% of total)

ival-sqrt: 5.0ms (7.4% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series86.0ms (1.5%)

Memory

-12.1MiB live, 94.0MiB allocated; 59ms collecting garbage

Counts

20 → 89

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
52.0ms	y	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ (* (+ (* (* 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 y) z) (sqrt (/ 1 z)) (* (sqrt z) y))
10.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ (* (+ (* (* 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 y) z) (sqrt (/ 1 z)) (* (sqrt z) y))
7.0ms	y	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ (* (+ (* (* 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 y) z) (sqrt (/ 1 z)) (* (sqrt z) y))
3.0ms	z	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ (* (+ (* (* 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 y) z) (sqrt (/ 1 z)) (* (sqrt z) y))
2.0ms	y	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (* -1/2 x) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ (* (+ (* (* 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 y) z) (sqrt (/ 1 z)) (* (sqrt z) y))

simplify157.0ms (2.8%)

Memory

38.9MiB live, 218.4MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	388	1807
1	1423	1567
2	6116	1521
0	8751	1448

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 88

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

rewrite183.0ms (3.2%)

Memory

15.8MiB live, 242.7MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	222
0	77	223
1	264	208
2	1693	196
0	9338	188

Stop Event

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

Counts

20 → 1 011

Calls

Call 1

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

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

eval86.0ms (1.5%)

Memory: 9.4MiB live, 151.1MiB allocated; 25ms collecting garbage
Compiler: Compiled 25 364 to 2 813 computations (88.9% saved)

prune20.0ms (0.4%)

Memory

4.3MiB live, 48.1MiB allocated; 7ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	657	5	662
Fresh	3	3	6
Picked	3	2	5
Done	0	2	2
Total	663	12	675

Accuracy

100.0%

Counts

675 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(.f64 (fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 y) x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	78.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
▶	53.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
▶	94.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 (*.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))))
✓	61.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
	55.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 y y) z))))
✓	2.3%	#s(approx (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
	94.3%	#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)))
✓	48.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
▶	86.5%	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (fma.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
▶	42.1%	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))

Compiler

Compiled 336 to 262 computations (22% saved)

simplify359.0ms (6.3%)

Memory

-14.4MiB live, 313.4MiB allocated; 193ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
cost-diff	2	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
cost-diff	0	(*.f64 y (/.f64 (sqrt.f64 z) x))
cost-diff	0	(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 (fma.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
cost-diff	4	(.f64 (fma.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
cost-diff	0	#s(approx (* (+ (* (sqrt z) y) x) 1/2) (.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
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	(/.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	301
0	62	290
1	109	290
2	213	290
3	575	290
4	1536	281
5	3137	281
6	4797	281
7	6493	281
8	7032	281
0	8540	268

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.7%)

Memory

-3.5MiB live, 141.0MiB allocated; 30ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
accuracy	0.12109375	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.3867159976055602	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
accuracy	13.517160328524504	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
accuracy	0.00390625	(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.20703125	(/.f64 (sqrt.f64 z) x)
accuracy	2.610971232158244	(*.f64 y (/.f64 (sqrt.f64 z) x))
accuracy	7.162340524470259	(.f64 (fma.f64 (.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	3.246947770303285	(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	7.162340524470259	(.f64 #s(approx (+ ( (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
accuracy	29.73355946630578	#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
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	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	29.881190056729526	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
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	6.498796780181433	(/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))

Samples

68.0ms

256×

valid

Compiler

Compiled 221 to 31 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 30.0ms (62.4% of total)

ival-div: 8.0ms (16.6% of total)

ival-add: 6.0ms (12.5% of total)

ival-sqrt: 4.0ms (8.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series32.0ms (0.6%)

Memory

5.9MiB live, 50.0MiB allocated; 14ms collecting garbage

Counts

23 → 53

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	z	@	inf	((* (* z y) 1) (+ x (/ (* (* z y) 1) (sqrt z))) (* 1/2 (+ x (/ (* (* z y) 1) (sqrt z)))) (/ (* (* z y) 1) (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (sqrt z) y) x) (/ (sqrt z) x) (sqrt (/ 1 z)))
5.0ms	z	@	-inf	((* (* z y) 1) (+ x (/ (* (* z y) 1) (sqrt z))) (* 1/2 (+ x (/ (* (* z y) 1) (sqrt z)))) (/ (* (* z y) 1) (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (sqrt z) y) x) (/ (sqrt z) x) (sqrt (/ 1 z)))
3.0ms	y	@	-inf	((* (* z y) 1) (+ x (/ (* (* z y) 1) (sqrt z))) (* 1/2 (+ x (/ (* (* z y) 1) (sqrt z)))) (/ (* (* z y) 1) (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (sqrt z) y) x) (/ (sqrt z) x) (sqrt (/ 1 z)))
3.0ms	z	@	0	((* (* z y) 1) (+ x (/ (* (* z y) 1) (sqrt z))) (* 1/2 (+ x (/ (* (* z y) 1) (sqrt z)))) (/ (* (* z y) 1) (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (sqrt z) y) x) (/ (sqrt z) x) (sqrt (/ 1 z)))
2.0ms	x	@	-inf	((* (* z y) 1) (+ x (/ (* (* z y) 1) (sqrt z))) (* 1/2 (+ x (/ (* (* z y) 1) (sqrt z)))) (/ (* (* z y) 1) (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (sqrt z) y) x) (/ (sqrt z) x) (sqrt (/ 1 z)))

simplify98.0ms (1.7%)

Memory

24.3MiB live, 169.1MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	441
1	496	416
2	1814	408
3	4453	394
0	8003	366

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 52

Calls

Call 1

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

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

rewrite209.0ms (3.7%)

Memory

-1.3MiB live, 431.3MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	261
0	62	250
1	188	245
2	954	245
0	9178	237

Stop Event

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

Counts

23 → 497

Calls

Call 1

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

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

eval107.0ms (1.9%)

Memory: -26.6MiB live, 162.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 16 260 to 2 185 computations (86.6% saved)

prune33.0ms (0.6%)

Memory

3.7MiB live, 49.9MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	553	4	557
Fresh	2	1	3
Picked	4	1	5
Done	0	4	4
Total	559	10	569

Accuracy

100.0%

Counts

569 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.3%	(*.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))
✓	53.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
	47.4%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.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))
	99.7%	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 z (sqrt.f64 z)) x))
	94.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 z y) (sqrt.f64 z))))
✓	61.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
	55.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 y y) z))))
✓	2.3%	#s(approx (* (/ 1 2) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
✓	48.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 744 to 289 computations (61.2% saved)

regimes93.0ms (1.6%)

Memory

25.1MiB live, 119.9MiB allocated; 23ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

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

Calls

7 calls:

35.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
13.0ms	y
9.0ms	x
9.0ms	z
9.0ms	(sqrt.f64 z)

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes40.0ms (0.7%)

Memory

-20.3MiB live, 23.7MiB allocated; 12ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

28.0ms	(+.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	(sqrt.f64 z)
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
63.6%	2	`(sqrt.f64 z)`
78.2%	3	`(*.f64 y (sqrt.f64 z))`
68.7%	7	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
68.7%	7	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
76.7%	3	`x`
73.8%	3	`y`
63.6%	2	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes10.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Accuracy

Total -29.9b remaining (-90.4%)

Threshold costs -29.9b (-90.4%)

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
48.3%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
48.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
48.3%	1	`(sqrt.f64 z)`
48.3%	1	`z`
48.3%	1	`y`
48.3%	1	`x`
48.3%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.689636760319187e-90	2.6685305704052876e-78
0.0ms	-539386716316933700.0	-330946584030437.75

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify39.0ms (0.7%)

Memory

-29.3MiB live, 16.0MiB allocated; 12ms collecting garbage

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 -500000000000000000 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 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 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 -500000000000000000 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 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 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 -500000000000000000 binary64)) (not (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 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))

derivations303.0ms (5.3%)

Memory

40.0MiB live, 285.8MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 67 to 27 computations (59.7% saved)

preprocess132.0ms (2.3%)

Memory: -43.3MiB live, 100.5MiB allocated; 22ms collecting garbage
Compiler: Compiled 154 to 74 computations (51.9% saved)

end0.0ms (0%)

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

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	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	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%)

analyze63.0ms (1.1%)

sample1.4s (24.2%)

explain167.0ms (2.9%)

preprocess62.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

localize39.0ms (0.7%)

series8.0ms (0.1%)

simplify250.0ms (4.4%)

rewrite259.0ms (4.5%)

eval52.0ms (0.9%)

prune63.0ms (1.1%)

simplify90.0ms (1.6%)

localize110.0ms (1.9%)

series76.0ms (1.3%)

simplify216.0ms (3.8%)

rewrite241.0ms (4.2%)

eval219.0ms (3.9%)

prune40.0ms (0.7%)

simplify149.0ms (2.6%)

localize121.0ms (2.1%)

series86.0ms (1.5%)

simplify157.0ms (2.8%)

rewrite183.0ms (3.2%)

eval86.0ms (1.5%)

prune20.0ms (0.4%)

simplify359.0ms (6.3%)

localize95.0ms (1.7%)

series32.0ms (0.6%)

simplify98.0ms (1.7%)

rewrite209.0ms (3.7%)

eval107.0ms (1.9%)

prune33.0ms (0.6%)

regimes93.0ms (1.6%)

regimes40.0ms (0.7%)

regimes10.0ms (0.2%)

bsearch1.0ms (0%)

simplify39.0ms (0.7%)

derivations303.0ms (5.3%)

preprocess132.0ms (2.3%)

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	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