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

start0.0ms (0%)

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

analyze64.0ms (1.3%)

Memory

38.9MiB live, 79.6MiB allocated; 15ms 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)

sample1.5s (31.5%)

Memory

14.7MiB live, 1 770.5MiB allocated; 373ms collecting garbage

Samples

750.0ms	8 256×	0	valid
342.0ms	1 957×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 779.0ms

ival-mult: 340.0ms (43.6% of total)

ival-div: 201.0ms (25.8% of total)

ival-add: 120.0ms (15.4% of total)

ival-sqrt: 93.0ms (11.9% of total)

exact: 11.0ms (1.4% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

adjust: 3.0ms (0.4% of total)

Bogosity

explain150.0ms (3.1%)

Memory

-1.1MiB live, 91.1MiB allocated; 13ms 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

34.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (40.1% of total)

ival-sqrt: 4.0ms (22.9% of total)

ival-div: 3.0ms (17.2% of total)

ival-add: 2.0ms (11.4% 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)

preprocess38.0ms (0.8%)

Memory

-18.7MiB live, 28.0MiB allocated; 2ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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

4.2MiB live, 4.2MiB 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

localize23.0ms (0.5%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms 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	0.0078125	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.23828125	(*.f64 y (sqrt.f64 z))

Samples

17.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (35.4% of total)

ival-div: 2.0ms (23.6% of total)

ival-sqrt: 2.0ms (23.6% of total)

ival-add: 1.0ms (11.8% 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 (0.2%)

Memory

5.6MiB live, 5.6MiB 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))

simplify150.0ms (3.1%)

Memory

7.3MiB live, 100.0MiB allocated; 17ms 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)

rewrite258.0ms (5.2%)

Memory

-36.2MiB live, 162.6MiB allocated; 31ms 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))))

eval90.0ms (1.8%)

Memory: 15.2MiB live, 60.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 13 680 to 1 346 computations (90.2% saved)

prune26.0ms (0.5%)

Memory

-24.3MiB live, 22.7MiB allocated; 1ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	386	11	397
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	387	11	398

Accuracy

100.0%

Counts

398 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	38.9%	(.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)))))
▶	43.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
	28.7%	(.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)))))
▶	60.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	93.6%	#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)))
	89.5%	#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))))
	51.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	50.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 372 to 292 computations (21.5% saved)

simplify21.0ms (0.4%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	130
0	50	127
1	86	127
2	145	127
3	256	127
4	410	127
5	501	127
6	573	127
7	626	127
8	666	127
9	706	127
10	716	127
0	716	127

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (1.5%)

Memory

12.3MiB live, 111.6MiB allocated; 9ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.08822250976844201	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
accuracy	6.426717317899538	(sqrt.f64 (*.f64 z y))
accuracy	0.0	(*.f64 z y)
accuracy	0.00390625	(+.f64 x (sqrt.f64 (.f64 (.f64 z y) y)))
accuracy	0.05078125	(.f64 (.f64 z y) y)
accuracy	11.766585158191301	(sqrt.f64 (.f64 (.f64 z y) y))
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.06640625	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	14.38311342022936	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.12890625	(*.f64 y (sqrt.f64 z))

Samples

36.0ms	137×	0	invalid
23.0ms	119×	0	valid

Compiler

Compiled 142 to 28 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 25.0ms (63.1% of total)

ival-sqrt: 8.0ms (20.2% of total)

ival-add: 5.0ms (12.6% of total)

ival-div: 2.0ms (5.1% 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)

series18.0ms (0.4%)

Memory

-7.7MiB live, 36.8MiB allocated; 6ms collecting garbage

Counts

18 → 35

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (* z y) y) (* z y) (sqrt y))
3.0ms	y	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (* z y) y) (* z y) (sqrt y))
2.0ms	z	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (* z y) y) (* z y) (sqrt y))
1.0ms	z	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (* z y) y) (* z y) (sqrt y))
1.0ms	y	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (* z y) y) (* z y) (sqrt y))

simplify137.0ms (2.8%)

Memory

-25.2MiB live, 118.2MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	237
1	353	234
2	1292	233
3	3651	220
4	7898	220
0	8037	205

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

Calls

Call 1

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

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

rewrite159.0ms (3.2%)

Memory

45.6MiB live, 189.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	104
0	50	87
1	136	87
2	714	87
0	8005	87

Stop Event

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

Counts

18 → 1 079

Calls

Call 1

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

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

eval54.0ms (1.1%)

Memory: -24.4MiB live, 108.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 9 686 to 1 424 computations (85.3% saved)

prune36.0ms (0.7%)

Memory

-12.1MiB live, 45.6MiB allocated; 15ms collecting garbage

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	415	9	424
Fresh	5	1	6
Picked	2	3	5
Done	0	0	0
Total	422	13	435

Accuracy

100.0%

Counts

435 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	46.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
	42.9%	(.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 y)) x))
	88.2%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
▶	43.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
▶	74.2%	(.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 (.f64 y y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	60.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	93.6%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
▶	51.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	88.0%	(.f64 #s(literal 1/2 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)))))
	89.5%	#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))))
✓	50.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 377 to 288 computations (23.6% saved)

simplify75.0ms (1.5%)

Memory

19.4MiB live, 66.5MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	304
0	68	304
1	124	304
2	265	304
3	613	304
4	1403	304
5	2310	304
6	2657	304
7	2711	304
8	2721	304
9	2731	304
10	2741	304
11	2741	304
0	2741	298

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize125.0ms (2.5%)

Memory

-11.4MiB live, 129.9MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(*.f64 (sqrt.f64 z) y)
accuracy	0.7665987823472995	(/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	2.1915140819122403	(fma.f64 z (/.f64 (.f64 y y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))))
accuracy	7.710398245742905	(/.f64 (.f64 y y) (-.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64))))
accuracy	0.109375	(/.f64 (sqrt.f64 z) x)
accuracy	0.8648528311886079	(*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y))
accuracy	2.4166387647217094	(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.08822250976844201	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
accuracy	6.426717317899538	(sqrt.f64 (*.f64 z y))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.12890625	(*.f64 (sqrt.f64 z) y)
accuracy	15.027612212877642	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x))
accuracy	0.046875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	2.231305055370552	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)

Samples

50.0ms	137×	0	invalid
30.0ms	119×	0	valid

Compiler

Compiled 255 to 37 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 19.0ms (44.2% of total)

ival-div: 7.0ms (16.3% of total)

ival-sqrt: 6.0ms (14% of total)

ival-add: 4.0ms (9.3% of total)

ival-sub: 3.0ms (7% of total)

ival-neg: 2.0ms (4.7% 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)

series74.0ms (1.5%)

Memory

26.1MiB live, 72.2MiB allocated; 4ms collecting garbage

Counts

24 → 134

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	y	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (neg x) (* 1/2 (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y)))))) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (/ (* y y) (- (* (sqrt z) y) x)) (* y y) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x) (/ x (- x (* (sqrt z) y))))
12.0ms	z	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (neg x) (* 1/2 (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y)))))) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (/ (* y y) (- (* (sqrt z) y) x)) (* y y) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x) (/ x (- x (* (sqrt z) y))))
6.0ms	x	@	inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (neg x) (* 1/2 (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y)))))) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (/ (* y y) (- (* (sqrt z) y) x)) (* y y) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x) (/ x (- x (* (sqrt z) y))))
5.0ms	y	@	inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (neg x) (* 1/2 (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y)))))) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (/ (* y y) (- (* (sqrt z) y) x)) (* y y) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x) (/ x (- x (* (sqrt z) y))))
5.0ms	z	@	inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (neg x) (* 1/2 (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y)))))) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (/ (* y y) (- (* (sqrt z) y) x)) (* y y) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x) (/ x (- x (* (sqrt z) y))))

simplify164.0ms (3.3%)

Memory

8.6MiB live, 230.9MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	700	3133
1	2572	2557
0	9525	2426

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 133

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

Outputs
(* 1/2 (* y (sqrt z)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 x)
(neg.f64 x)
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* -1/2 (* (pow x 3) (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* (pow x 3) (+ (* -1/2 (* (pow x 2) (+ (* -1 (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))) (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))))) (* -1/2 (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3)))))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (.f64 x x) #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(+ (* x (+ 1 (* -1 (* (pow x 3) (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))))) (* y (sqrt z)))
(fma.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x (*.f64 (sqrt.f64 z) y))
(+ (* x (+ 1 (* (pow x 3) (- (* -1 (* (pow x 2) (+ (* -1 (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))) (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))))) (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))))) (* y (sqrt z)))
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(* 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))
(+ (* x (+ (* (/ x y) (sqrt (/ 1 (pow z 3)))) (/ 1 z))) (* y (sqrt (/ 1 z))))
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(+ (* x (+ (* x (- (/ x (* (pow y 2) (pow z 2))) (* -1 (* (/ 1 y) (sqrt (/ 1 (pow z 3))))))) (/ 1 z))) (* y (sqrt (/ 1 z))))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 x (.f64 y y)) (.f64 z z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) y)) x (/.f64 #s(literal 1 binary64) z)) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
(* -1 (* (/ y x) (sqrt z)))
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))
(* (/ 1 x) (sqrt z))
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(* -1 (* (/ x y) (sqrt (/ 1 z))))
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(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* -1 (/ x (* (pow y 2) z)))))
(.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)) (/.f64 x (.f64 (*.f64 y y) z))) x)
(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* -1 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (/ 1 (* (pow y 2) z))))))
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(* x (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3)))))) (/ 1 (* (pow y 2) z))))))
(.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (.f64 (neg.f64 z) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) z))) x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y))) x)
(* 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 (+ (* -1/2 (/ (+ (* -1 (* (pow y 3) (sqrt (pow z 3)))) (* (pow y 3) (sqrt (pow z 3)))) (pow x 3))) (* 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 (+ 1/2 (+ (* -1/2 (/ (+ (* -1 (* (pow y 3) (sqrt (pow z 3)))) (* (pow y 3) (sqrt (pow z 3)))) (pow x 3))) (+ (* -1/2 (/ (+ (* -1 (* (pow y 4) (pow z 2))) (* (pow y 4) (pow z 2))) (pow x 4))) (* 1/2 (* (/ y x) (sqrt z)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 3) (sqrt (pow z 3)))) (* (pow y 3) (sqrt (pow z 3)))) (pow x 3)))) (* -1 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 4) (pow z 2))) (* (pow y 4) (pow z 2))) (pow x 4)))) (+ (* -1 (* (/ y x) (sqrt z))) (+ (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) x)
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 (neg.f64 y) y) x)
(/ (+ (* -1 (* (/ (pow y 3) x) (sqrt z))) (* -1 (pow y 2))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 z) (*.f64 y y)) (neg.f64 x))
(/ (- (+ (* -1 (/ (* (pow y 4) z) (pow x 2))) (* -1 (pow y 2))) (* (/ (pow y 3) x) (sqrt z))) x)
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 z x) (.f64 y y))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 z))) x)
(/ (- (+ (* -1 (* (/ (pow y 5) (pow x 3)) (sqrt (pow z 3)))) (* -1 (pow y 2))) (+ (* (/ (pow y 3) x) (sqrt z)) (/ (* (pow y 4) z) (pow x 2)))) x)
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 y y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 z x) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 z)))) x)
1
#s(literal 1 binary64)
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* -1 (* (/ y x) (sqrt z))))
(fma.f64 (/.f64 z x) (/.f64 (*.f64 y y) x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
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(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(.f64 (-.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
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(.f64 (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) x)) (* 1/2 (* y (sqrt z)))) x)) 1/2)))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y (/.f64 #s(literal 0 binary64) x)) x) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 z) y (/.f64 #s(literal 0 binary64) x)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (+ (* (/ (pow y 3) x) (sqrt z)) (pow y 2)) x))
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(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(.f64 (neg.f64 z) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.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) (neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1/2 (* y (sqrt z)))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (+ (* -1 (* (/ (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) (neg.f64 (sqrt.f64 z)) (/.f64 (*.f64 z x) #s(literal -1 binary64))) z)))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (+ (* -1 (* (/ (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 (.f64 (pow.f64 x #s(literal 3 binary64)) z) (.f64 (neg.f64 y) y))) z) (fma.f64 (/.f64 (.f64 x x) y) (neg.f64 (sqrt.f64 z)) (/.f64 (*.f64 z x) #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)))) (* (/ (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)))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))))) z)) (* 1/2 (+ (* -1 (* (/ (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) (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 z x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) z) z) (.f64 (neg.f64 y) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #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 (.f64 (pow.f64 x #s(literal 3 binary64)) z) (*.f64 (neg.f64 y) y))))) (neg.f64 z))) (neg.f64 z)))
(* -1 (* y (sqrt z)))
(*.f64 (neg.f64 y) (sqrt.f64 z))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (/ (* x z) (pow (sqrt -1) 2))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 x x) y) (neg.f64 (sqrt.f64 z)) (/.f64 (.f64 z x) #s(literal -1 binary64))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 (neg.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 (.f64 (pow.f64 x #s(literal 3 binary64)) z) (.f64 (neg.f64 y) y))) (neg.f64 z)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -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)))) (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) y) (sqrt.f64 z) (fma.f64 x (/.f64 z #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 (.f64 x x) y) (/.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) z) z) (.f64 (neg.f64 y) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) z)) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) z) (.f64 (neg.f64 y) y))) (neg.f64 z)))) z)))
(* -1 (* y (sqrt (/ 1 z))))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* y (sqrt z)) (/ x (pow (sqrt -1) 2))) z))
(/.f64 (fma.f64 (sqrt.f64 z) y (/.f64 x #s(literal -1 binary64))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt z))) (/ (* x z) (pow (sqrt -1) 2))) z)) (* y (sqrt z))) z))
(/.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (neg.f64 (/.f64 (.f64 (neg.f64 x) x) y)) (sqrt.f64 z) (.f64 (neg.f64 x) (/.f64 z #s(literal -1 binary64)))) (neg.f64 z))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 4)))) (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (/ (* x z) (pow (sqrt -1) 2))) z)) (* y (sqrt z))) z))
(/.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y y)) (neg.f64 (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 (/.f64 (.f64 (neg.f64 x) x) y) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) (neg.f64 z)) (/.f64 (.f64 z x) #s(literal -1 binary64))) (neg.f64 z))) (neg.f64 z))
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(/.f64 (sqrt.f64 z) x)
(* (/ x y) (sqrt (/ 1 z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))))) z))
(/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z) (*.f64 (/.f64 x y) (/.f64 x y))) (neg.f64 z))
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (- (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z)) (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z))) z))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (sqrt.f64 z) (/.f64 (.f64 (.f64 z x) x) (.f64 (neg.f64 y) y))) z))) z)
(* -1 (/ (+ (* -1 (* (/ x y) (sqrt z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4))) (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z)) (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z))) z))
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 z (pow.f64 y #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))))) z) #s(literal -1 binary64) (/.f64 (.f64 (.f64 z x) x) (.f64 (neg.f64 y) y))) z))) (neg.f64 z))

rewrite168.0ms (3.4%)

Memory

8.7MiB live, 250.9MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	236
0	68	237
1	226	232
2	1381	222
0	9023	211

Stop Event

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

Counts

24 → 722

Calls

Call 1

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

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

eval162.0ms (3.3%)

Memory: -21.1MiB live, 262.0MiB allocated; 42ms collecting garbage
Compiler: Compiled 32 446 to 3 763 computations (88.4% saved)

prune19.0ms (0.4%)

Memory

19.6MiB live, 66.7MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	864	5	869
Fresh	4	1	5
Picked	3	2	5
Done	0	3	3
Total	871	11	882

Accuracy

100.0%

Counts

882 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	60.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	88.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ ( z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
✓	93.6%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
	45.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))))
▶	50.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) z) (sqrt.f64 z)) y)))
▶	19.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y))))
✓	51.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	12.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 y y) z))))
✓	50.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 280 to 219 computations (21.8% saved)

simplify141.0ms (2.9%)

Memory

10.2MiB live, 97.8MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	279
0	67	269
1	122	269
2	236	269
3	549	269
4	1291	248
5	2443	246
6	3582	246
7	4410	246
8	5574	246
9	6526	246
10	7206	246
11	7866	246
12	7890	246
0	8229	237

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (3.7%)

Memory

7.5MiB live, 283.0MiB allocated; 100ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.12890625	(.f64 (/.f64 (.f64 #s(literal 1 binary64) z) (sqrt.f64 z)) y)
accuracy	0.27734375	(/.f64 (*.f64 #s(literal 1 binary64) z) (sqrt.f64 z))
accuracy	15.027612212877642	#s(approx (+ x (* y (sqrt z))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) z) (sqrt.f64 z)) y))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.16244125976844204	(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y))
accuracy	6.426717317899538	(sqrt.f64 (*.f64 z y))
accuracy	15.027612212877642	#s(approx (+ x (* y (sqrt z))) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y)))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
accuracy	0.00390625	(+.f64 x (sqrt.f64 (.f64 (.f64 z y) y)))
accuracy	0.05078125	(.f64 (.f64 z y) y)
accuracy	11.766585158191301	(sqrt.f64 (.f64 (.f64 z y) y))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 y y) z))))
accuracy	3.5664464957112214	(.f64 (.f64 y y) z)
accuracy	11.766585158191301	(sqrt.f64 (.f64 (.f64 y y) z))
accuracy	15.027612212877642	#s(approx (+ x (* y (sqrt z))) (sqrt.f64 (.f64 (.f64 y y) z)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
accuracy	0.5186785001316618	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	2.4166387647217094	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)

Samples

84.0ms	137×	0	invalid
64.0ms	119×	0	valid

Compiler

Compiled 215 to 38 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-div: 55.0ms (46.5% of total)

ival-mult: 48.0ms (40.5% of total)

ival-sqrt: 8.0ms (6.8% of total)

ival-add: 5.0ms (4.2% of total)

ival-sub: 2.0ms (1.7% 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)

series23.0ms (0.5%)

Memory

11.0MiB live, 57.6MiB allocated; 2ms collecting garbage

Counts

23 → 80

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	((* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y)))))) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (+ (* (/ y x) (sqrt z)) 1) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y y) z)) (* (* y y) z) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt (* z y)) (sqrt y)) (sqrt (* z y)) (* 1 z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ (* 1 z) (sqrt z)) y) (sqrt z) (sqrt y) (/ (* 1 z) (sqrt z)))
4.0ms	y	@	inf	((* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y)))))) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (+ (* (/ y x) (sqrt z)) 1) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y y) z)) (* (* y y) z) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt (* z y)) (sqrt y)) (sqrt (* z y)) (* 1 z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ (* 1 z) (sqrt z)) y) (sqrt z) (sqrt y) (/ (* 1 z) (sqrt z)))
3.0ms	y	@	-inf	((* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y)))))) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (+ (* (/ y x) (sqrt z)) 1) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y y) z)) (* (* y y) z) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt (* z y)) (sqrt y)) (sqrt (* z y)) (* 1 z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ (* 1 z) (sqrt z)) y) (sqrt z) (sqrt y) (/ (* 1 z) (sqrt z)))
2.0ms	z	@	0	((* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y)))))) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (+ (* (/ y x) (sqrt z)) 1) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y y) z)) (* (* y y) z) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt (* z y)) (sqrt y)) (sqrt (* z y)) (* 1 z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ (* 1 z) (sqrt z)) y) (sqrt z) (sqrt y) (/ (* 1 z) (sqrt z)))
2.0ms	z	@	inf	((* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y)))))) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- x (* (sqrt z) y))))) (+ (* (/ y x) (sqrt z)) 1) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y y) z)) (* (* y y) z) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt (* z y)) (sqrt y)) (sqrt (* z y)) (* 1 z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ (* 1 z) (sqrt z)) y) (sqrt z) (sqrt y) (/ (* 1 z) (sqrt z)))

simplify215.0ms (4.4%)

Memory

-28.9MiB live, 178.8MiB allocated; 134ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	1763
1	1529	1308
2	7666	1291
0	8138	1209

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 78

Calls

Call 1

Inputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* -1/2 (* (pow x 3) (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))))))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* (pow x 3) (+ (* -1/2 (* (pow x 2) (+ (* -1 (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))) (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))))) (* -1/2 (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3)))))))))))
(+ (* x (+ 1 (* -1 (* (pow x 3) (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))))) (* y (sqrt z)))
(+ (* x (+ 1 (* (pow x 3) (- (* -1 (* (pow x 2) (+ (* -1 (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))) (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))))) (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))))) (* y (sqrt z)))
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1/2 (+ (* -1/2 (/ (+ (* -1 (* (pow y 3) (sqrt (pow z 3)))) (* (pow y 3) (sqrt (pow z 3)))) (pow x 3))) (* 1/2 (* (/ y x) (sqrt z))))))
(* x (+ 1/2 (+ (* -1/2 (/ (+ (* -1 (* (pow y 3) (sqrt (pow z 3)))) (* (pow y 3) (sqrt (pow z 3)))) (pow x 3))) (+ (* -1/2 (/ (+ (* -1 (* (pow y 4) (pow z 2))) (* (pow y 4) (pow z 2))) (pow x 4))) (* 1/2 (* (/ y x) (sqrt z)))))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 3) (sqrt (pow z 3)))) (* (pow y 3) (sqrt (pow z 3)))) (pow x 3)))) (* -1 (* (/ y x) (sqrt z)))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 4) (pow z 2))) (* (pow y 4) (pow z 2))) (pow x 4)))) (+ (* -1 (* (/ y x) (sqrt z))) (+ (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))))))
1
(+ 1 (* (/ y x) (sqrt z)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) x)) (* 1/2 (* y (sqrt z)))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1)))
(+ (* 1/2 x) (* y (+ (* -1/2 (* (pow y 2) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (* 1/2 (sqrt z)))))
(+ (* 1/2 x) (* y (+ (* 1/2 (sqrt z)) (* (pow y 2) (+ (* -1/2 (* y (+ (* -1 (/ (pow z 2) (pow x 3))) (/ (pow z 2) (pow x 3))))) (* -1/2 (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3))))))))))
(+ x (* y (- (* -1 (* (pow y 2) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (* -1 (sqrt z)))))
(+ x (* y (- (* (pow y 2) (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 3))) (/ (pow z 2) (pow x 3))))) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (* -1 (sqrt z)))))
(* (pow y 2) z)
(sqrt (* y z))
(sqrt y)
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* -1/2 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 3))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
(* y (+ (* -1/2 (/ (+ (* -1 (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (pow y 4))) (+ (* -1/2 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 3))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
(* y (- (+ (sqrt z) (* -1 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 3)))) (* -1 (/ x y))))
(* y (- (+ (sqrt z) (* -1 (/ (+ (* -1 (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (pow y 4)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (* (pow y 3) z))) (/ (pow x 3) (* (pow y 3) z))))))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 2))) (* 1/2 x)) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 2))) (+ (* 1/2 x) (* 1/2 (/ (+ (* -1 (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (pow y 3))))) y)) (* -1/2 (sqrt z)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 2))) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 (pow z 3))))) (+ (* -1 x) (+ (* -1 (/ (pow x 3) (* (pow y 2) z))) (/ (pow x 3) (* (pow y 2) z))))) y)))))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* y (sqrt z)))
(* -1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (sqrt z)))))
(* -1 (* y (+ (sqrt z) (* -1 (/ x y)))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))
(+ (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))))
(/ (pow x 2) (- x (* y (sqrt z))))
(+ (/ (* (pow y 2) z) (- (* y (sqrt z)) x)) (/ (pow x 2) (- x (* y (sqrt z)))))
(* 1/2 (+ x (* y (sqrt z))))
z
(sqrt 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 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2))) (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (pow z 3))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* y (sqrt z))) (* -1 x))
(- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2))) (* y (sqrt z)))) (* -1 x))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2))) (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (pow z 3))) (* y (sqrt z))) (+ (* -1 x) (/ (pow x 3) (* (pow y 2) z))))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (+ (* -1 (* (/ (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)))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (+ (* -1 (* (/ (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)))) (* (/ (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)))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))))) z)) (* 1/2 (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (/ (* x z) (pow (sqrt -1) 2))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -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)))) (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -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 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* -1/2 (* (pow x 3) (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
(+ (* 1/2 (* y (sqrt z))) (* x (+ 1/2 (* (pow x 3) (+ (* -1/2 (* (pow x 2) (+ (* -1 (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))) (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))))) (* -1/2 (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3)))))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x) (.f64 (fma.f64 #s(literal 0 binary64) (.f64 x x) #s(literal 0 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+ (* x (+ 1 (* -1 (* (pow x 3) (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))))) (* y (sqrt z)))
(fma.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x (*.f64 (sqrt.f64 z) y))
(+ (* x (+ 1 (* (pow x 3) (- (* -1 (* (pow x 2) (+ (* -1 (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))) (* (/ 1 (pow y 5)) (sqrt (/ 1 (pow z 5))))))) (+ (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))))) (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y (fma.f64 (fma.f64 #s(literal 0 binary64) (*.f64 x x) #s(literal 0 binary64)) (pow.f64 x #s(literal 4 binary64)) x))
(* (/ y x) (sqrt z))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/ (+ x (* y (sqrt z))) x)
(/.f64 (fma.f64 (sqrt.f64 z) y x) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (+ (* -1/2 (/ (+ (* -1 (* (pow y 3) (sqrt (pow z 3)))) (* (pow y 3) (sqrt (pow z 3)))) (pow x 3))) (* 1/2 (* (/ y x) (sqrt z))))))
(.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (+ (* -1/2 (/ (+ (* -1 (* (pow y 3) (sqrt (pow z 3)))) (* (pow y 3) (sqrt (pow z 3)))) (pow x 3))) (+ (* -1/2 (/ (+ (* -1 (* (pow y 4) (pow z 2))) (* (pow y 4) (pow z 2))) (pow x 4))) (* 1/2 (* (/ y x) (sqrt z)))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 3) (sqrt (pow z 3)))) (* (pow y 3) (sqrt (pow z 3)))) (pow x 3)))) (* -1 (* (/ y x) (sqrt z)))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) x) x)
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 4) (pow z 2))) (* (pow y 4) (pow z 2))) (pow x 4)))) (+ (* -1 (* (/ y x) (sqrt z))) (+ (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* (/ y x) (sqrt z)))
(/.f64 (fma.f64 (sqrt.f64 z) y x) x)
(* -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 (* (/ 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 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) x)) (* 1/2 (* y (sqrt z)))) x)) 1/2)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (/.f64 #s(literal 0 binary64) x)) (neg.f64 x)) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sqrt.f64 z) y (/.f64 #s(literal 0 binary64) x)) (neg.f64 x)) #s(literal 1 binary64)))
(+ (* 1/2 x) (* y (+ (* -1/2 (* (pow y 2) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (* 1/2 (sqrt z)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) (.f64 y y) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) y (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (+ (* 1/2 (sqrt z)) (* (pow y 2) (+ (* -1/2 (* y (+ (* -1 (/ (pow z 2) (pow x 3))) (/ (pow z 2) (pow x 3))))) (* -1/2 (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3))))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x) (*.f64 (fma.f64 #s(literal 0 binary64) y #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64))))
(+ x (* y (- (* -1 (* (pow y 2) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (* -1 (sqrt z)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) (*.f64 y y) (sqrt.f64 z)) y x)
(+ x (* y (- (* (pow y 2) (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 3))) (/ (pow z 2) (pow x 3))))) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (pow z 3)))) (* (/ 1 (pow x 2)) (sqrt (pow z 3)))))) (* -1 (sqrt z)))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y #s(literal 0 binary64)) y) y (sqrt.f64 z)) y x)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(sqrt y)
(sqrt.f64 y)
(* y (+ (sqrt z) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(* y (+ (* -1/2 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 3))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64) #s(literal 0 binary64)) y)
(* y (+ (* -1/2 (/ (+ (* -1 (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (pow y 4))) (+ (* -1/2 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 3))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
(*.f64 (fma.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))) y)
(* y (- (+ (sqrt z) (* -1 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 3)))) (* -1 (/ x y))))
(*.f64 (-.f64 (sqrt.f64 z) (/.f64 (-.f64 #s(literal 0 binary64) x) y)) y)
(* y (- (+ (sqrt z) (* -1 (/ (+ (* -1 (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (pow y 4)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (* (pow y 3) z))) (/ (pow x 3) (* (pow y 3) z))))))
(*.f64 (-.f64 (-.f64 (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) x) y)) y)
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(/.f64 (fma.f64 (sqrt.f64 z) y x) x)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(.f64 (.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 2))) (* 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 #s(literal 0 binary64)) (neg.f64 y))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 2))) (+ (* 1/2 x) (* 1/2 (/ (+ (* -1 (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (* (pow x 4) (sqrt (/ 1 (pow z 3))))) (pow y 3))))) 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 #s(literal 0 binary64)) (neg.f64 y))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow y 2))) (* -1 x)) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (sqrt.f64 z)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* (/ (pow x 4) (pow y 3)) (sqrt (/ 1 (pow z 3))))) (+ (* -1 x) (+ (* -1 (/ (pow x 3) (* (pow y 2) z))) (/ (pow x 3) (* (pow y 2) z))))) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (sqrt.f64 z)))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (sqrt z)))
(*.f64 (neg.f64 y) (sqrt.f64 z))
(* -1/2 (* y (sqrt z)))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (sqrt z)))))
(.f64 (neg.f64 y) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(* -1 (* y (+ (sqrt z) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 (sqrt.f64 z) (/.f64 x y)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 z y)) #s(literal 1 binary64))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(+ (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))))
(.f64 (fma.f64 (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 y y) (.f64 x (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) #s(literal 1/2 binary64))
(/ (pow x 2) (- x (* y (sqrt z))))
(.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))
(+ (/ (* (pow y 2) z) (- (* y (sqrt z)) x)) (/ (pow x 2) (- x (* y (sqrt z)))))
(fma.f64 (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 y y) (.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
z
(sqrt z)
(sqrt.f64 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 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) 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)))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 x x)) #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) z) y)) y) z) (.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) 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)))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2))) (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (pow z 3))) (+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 x x)) #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) z) y)) y) (/.f64 (/.f64 (fma.f64 (.f64 (neg.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)) (.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) y) (sqrt.f64 z) (.f64 z x)) z)) #s(literal 1/2 binary64)))
(- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (* y (sqrt z))) (* -1 x))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 z) y x))
(- (+ (* -1 (* (/ (pow x 2) y) (sqrt (/ 1 z)))) (+ (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt (pow z 3)))) (/ (* (pow x 3) z) (pow y 2))) (pow z 2))) (* y (sqrt z)))) (* -1 x))
(fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (.f64 x x)) #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) z) y)) y) (*.f64 z z))) (fma.f64 (sqrt.f64 z) y x))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 3) (pow z 2)) (pow y 2))) (* (/ (pow x 4) (pow y 3)) (sqrt (pow z 3)))) (pow z 3))) (* y (sqrt z))) (+ (* -1 x) (/ (pow x 3) (* (pow y 2) z))))
(fma.f64 (/.f64 (/.f64 (fma.f64 (.f64 (neg.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)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z) y) y)))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(fma.f64 (*.f64 z (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
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(*.f64 (neg.f64 z) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 x) z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (/ (* x z) (pow (sqrt -1) 2))) z)))
(.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) y) (sqrt.f64 z) (/.f64 (*.f64 z x) #s(literal -1 binary64))) z)) #s(literal -1/2 binary64))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (/ (* x z) (pow (sqrt -1) 2))))) z)) (* -1/2 (* y (sqrt z))))
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(fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) y) (sqrt.f64 z) (/.f64 (.f64 z x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 z (/.f64 z (.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) z) (fma.f64 (/.f64 z (.f64 (neg.f64 y) y)) (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 (.f64 (neg.f64 x) x) (neg.f64 y)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))))) (neg.f64 z))) (neg.f64 z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (/ (* x z) (pow (sqrt -1) 2))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 x) x) y) (sqrt.f64 z) (/.f64 (.f64 z x) #s(literal -1 binary64))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* y (pow (sqrt -1) 2))) (sqrt (pow z 3)))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 z #s(literal -1 binary64)) x (neg.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 z (.f64 (neg.f64 y) y)) (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 (.f64 (neg.f64 x) x) (neg.f64 y)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) z)))) z)))
(+ (* -1 (* y (sqrt z))) (* -1 (/ (+ (* -1 (* (/ (pow x 2) y) (sqrt z))) (+ (* -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)))) (* (/ (pow x 4) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3)))) z))) (* -1 (/ (* (pow x 3) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (/ (* x z) (pow (sqrt -1) 2)))) z)))
(neg.f64 (fma.f64 (sqrt.f64 z) y (/.f64 (fma.f64 (/.f64 z #s(literal -1 binary64)) x (neg.f64 (fma.f64 (.f64 x (/.f64 x y)) (sqrt.f64 z) (/.f64 (fma.f64 (/.f64 z (.f64 (neg.f64 y) y)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (.f64 x (/.f64 x y)) (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 z (/.f64 z (.f64 y y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) z)))) z)))) z)))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(.f64 (neg.f64 z) (-.f64 (.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) 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 (neg.f64 z) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)

rewrite166.0ms (3.4%)

Memory

29.7MiB live, 261.7MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	246
0	67	233
1	212	224
2	1249	215
0	9066	203

Stop Event

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

Counts

23 → 583

Calls

Call 1

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

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

eval79.0ms (1.6%)

Memory: 6.3MiB live, 136.9MiB allocated; 32ms collecting garbage
Compiler: Compiled 17 196 to 2 240 computations (87% saved)

prune22.0ms (0.5%)

Memory

-6.8MiB live, 49.4MiB allocated; 13ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	530	3	533
Fresh	1	0	1
Picked	4	1	5
Done	0	5	5
Total	535	9	544

Accuracy

100.0%

Counts

544 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	93.6%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
	45.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 z y) (sqrt.f64 z))))
✓	51.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
	45.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 z (/.f64 y (sqrt.f64 z)))))
	15.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 z y) y))))
✓	12.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 y y) z))))
✓	50.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 611 to 230 computations (62.4% saved)

regimes65.0ms (1.3%)

Memory

15.8MiB live, 104.6MiB allocated; 19ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

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

Calls

7 calls:

14.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
13.0ms	z
7.0ms	y
7.0ms	x
7.0ms	(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)

regimes17.0ms (0.4%)

Memory

-16.3MiB live, 28.2MiB allocated; 9ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

8.0ms	z
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	y
2.0ms	x
1.0ms	(sqrt.f64 z)

Results

Accuracy	Segments	Branch
62.0%	2	`(sqrt.f64 z)`
75.5%	3	`(*.f64 y (sqrt.f64 z))`
61.9%	5	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
61.9%	5	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
76.7%	3	`x`
74.5%	3	`y`
62.0%	2	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes7.0ms (0.2%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
50.2%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
50.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
50.2%	1	`(sqrt.f64 z)`
50.2%	1	`z`
50.2%	1	`y`
50.2%	1	`(*.f64 y (sqrt.f64 z))`
50.2%	1	`x`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch51.0ms (1%)

Memory

-48.8MiB live, 53.1MiB allocated; 43ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.704386770909317e-87	2.4102260591908118e-85
30.0ms	-1.7304110872745874e-28	-9.948611442394452e-36

Samples

16.0ms

256×

valid

Compiler

Compiled 509 to 496 computations (2.6% saved)

Precisions

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

ival-mult: 3.0ms (32.8% of total)

ival-div: 2.0ms (21.9% of total)

ival-sqrt: 2.0ms (21.9% of total)

ival-add: 1.0ms (10.9% 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)

simplify16.0ms (0.3%)

Memory

29.1MiB live, 29.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	55
1	43	55
2	68	55
3	116	55
4	178	55
5	204	55
6	215	55
7	233	55
8	244	55
9	254	55
10	264	55

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -4683156491691431/44601490397061246283071436545296723011960832 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 4199521391583383/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))

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

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -4683156491691431/44601490397061246283071436545296723011960832 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 4199521391583383/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))
(if (or (<=.f64 x #s(literal -4683156491691431/44601490397061246283071436545296723011960832 binary64)) (not (<=.f64 x #s(literal 4199521391583383/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 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))

derivations255.0ms (5.2%)

Memory

-21.1MiB live, 211.4MiB allocated; 33ms 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 61 to 26 computations (57.4% saved)

preprocess22.0ms (0.5%)

Memory: 42.3MiB live, 42.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 142 to 72 computations (49.3% 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	29	130
0	50	127
1	86	127
2	145	127
3	256	127
4	410	127
5	501	127
6	573	127
7	626	127
8	666	127
9	706	127
10	716	127
0	716	127

Iter	Nodes	Cost
0	25	55
1	43	55
2	68	55
3	116	55
4	178	55
5	204	55
6	215	55
7	233	55
8	244	55
9	254	55
10	264	55

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	29	130
0	50	127
1	86	127
2	145	127
3	256	127
4	410	127
5	501	127
6	573	127
7	626	127
8	666	127
9	706	127
10	716	127
0	716	127

Iter	Nodes	Cost
0	25	55
1	43	55
2	68	55
3	116	55
4	178	55
5	204	55
6	215	55
7	233	55
8	244	55
9	254	55
10	264	55

start0.0ms (0%)

analyze64.0ms (1.3%)

sample1.5s (31.5%)

explain150.0ms (3.1%)

preprocess38.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

localize23.0ms (0.5%)

series8.0ms (0.2%)

simplify150.0ms (3.1%)

rewrite258.0ms (5.2%)

eval90.0ms (1.8%)

prune26.0ms (0.5%)

simplify21.0ms (0.4%)

localize74.0ms (1.5%)

series18.0ms (0.4%)

simplify137.0ms (2.8%)

rewrite159.0ms (3.2%)

eval54.0ms (1.1%)

prune36.0ms (0.7%)

simplify75.0ms (1.5%)

localize125.0ms (2.5%)

series74.0ms (1.5%)

simplify164.0ms (3.3%)

rewrite168.0ms (3.4%)

eval162.0ms (3.3%)

prune19.0ms (0.4%)

simplify141.0ms (2.9%)

localize181.0ms (3.7%)

series23.0ms (0.5%)

simplify215.0ms (4.4%)

rewrite166.0ms (3.4%)

eval79.0ms (1.6%)

prune22.0ms (0.5%)

regimes65.0ms (1.3%)

regimes17.0ms (0.4%)

regimes7.0ms (0.2%)

bsearch51.0ms (1%)

simplify16.0ms (0.3%)

derivations255.0ms (5.2%)

preprocess22.0ms (0.5%)

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	29	130
0	50	127
1	86	127
2	145	127
3	256	127
4	410	127
5	501	127
6	573	127
7	626	127
8	666	127
9	706	127
10	716	127
0	716	127

Iter	Nodes	Cost
0	25	55
1	43	55
2	68	55
3	116	55
4	178	55
5	204	55
6	215	55
7	233	55
8	244	55
9	254	55
10	264	55