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

start0.0ms (0%)

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

analyze65.0ms (1.1%)

Memory

9.9MiB live, 103.0MiB allocated; 26ms 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)

sample1.3s (21.8%)

Memory

18.1MiB live, 2 080.1MiB allocated; 535ms collecting garbage

Samples

578.0ms	8 256×	0	valid
249.0ms	1 991×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

ival-mult: 149.0ms (36.8% of total)

ival-sqrt: 94.0ms (23.2% of total)

ival-div: 81.0ms (20% of total)

ival-add: 56.0ms (13.8% of total)

exact: 10.0ms (2.5% of total)

ival-true: 7.0ms (1.7% of total)

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

adjust: 3.0ms (0.7% of total)

Bogosity

explain146.0ms (2.4%)

Memory

2.3MiB live, 194.5MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 6.0ms (33.8% of total)

ival-sqrt: 4.0ms (22.5% of total)

ival-div: 3.0ms (16.9% of total)

ival-add: 3.0ms (16.9% 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)

preprocess39.0ms (0.6%)

Memory

22.7MiB live, 68.8MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 10 computations (0% saved)

simplify23.0ms (0.4%)

Memory

-23.8MiB live, 21.8MiB allocated; 3ms 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

localize51.0ms (0.8%)

Memory

-3.4MiB live, 43.0MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.20154541936771622	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.2109375	(*.f64 y (sqrt.f64 z))

Samples

17.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (34.6% of total)

ival-div: 2.0ms (23% of total)

ival-sqrt: 2.0ms (23% of total)

ival-add: 1.0ms (11.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB 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
1.0ms	z	@	-inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	z	@	inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	-inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	0	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))

simplify128.0ms (2.1%)

Memory

39.2MiB live, 171.7MiB allocated; 29ms 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)

rewrite431.0ms (7.2%)

Memory

-66.2MiB live, 346.0MiB allocated; 204ms 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))
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(.f64 (fabs.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64)))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) y) y) (pow.f64 z #s(literal 1/4 binary64)))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(.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))))

eval55.0ms (0.9%)

Memory: 13.8MiB live, 105.0MiB allocated; 19ms collecting garbage
Compiler: Compiled 13 680 to 1 346 computations (90.2% saved)

prune17.0ms (0.3%)

Memory

-4.0MiB live, 39.8MiB allocated; 6ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

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

Accuracy

100.0%

Counts

398 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
▶	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
	51.5%	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	40.8%	(.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)))))
	49.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
▶	29.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 z (/.f64 (.f64 y y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
	75.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
	60.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	94.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
▶	89.6%	#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))))
	51.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 444 to 352 computations (20.7% saved)

simplify83.0ms (1.4%)

Memory

30.4MiB live, 75.0MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	230
0	60	231
1	115	217
2	244	217
3	612	217
4	1451	217
5	2600	217
6	2967	217
7	3014	217
8	3024	217
9	3034	217
10	3034	217
11	3034	217
0	3034	210

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize143.0ms (2.4%)

Memory

-12.4MiB live, 129.3MiB allocated; 25ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(*.f64 (sqrt.f64 z) y)
accuracy	2.1658326397994125	(/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	3.7188218269144637	(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))))
accuracy	14.200211881471839	(/.f64 (.f64 y y) (-.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0.0	#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))))
accuracy	0.2109375	(*.f64 (sqrt.f64 z) y)
accuracy	2.798742319359648	(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	6.643531068540018	(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.20154541936771622	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.2109375	(*.f64 y (sqrt.f64 z))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	32.401334771968685	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.12890625	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))

Samples

64.0ms

256×

valid

Compiler

Compiled 225 to 34 computations (84.9% saved)

Precisions

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

ival-mult: 20.0ms (47.9% of total)

ival-div: 6.0ms (14.4% of total)

ival-add: 6.0ms (14.4% of total)

exact: 3.0ms (7.2% of total)

ival-sub: 2.0ms (4.8% of total)

ival-sqrt: 2.0ms (4.8% of total)

ival-neg: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

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

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

series66.0ms (1.1%)

Memory

14.9MiB live, 59.3MiB allocated; 10ms collecting garbage

Counts

20 → 140

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	y	@	inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (/ 1 2) (* (/ 1 2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* y y) (- (* (sqrt z) y) x)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ x (- (* (sqrt z) y) x)))
6.0ms	z	@	-inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (/ 1 2) (* (/ 1 2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* y y) (- (* (sqrt z) y) x)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ x (- (* (sqrt z) y) x)))
5.0ms	z	@	0	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (/ 1 2) (* (/ 1 2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* y y) (- (* (sqrt z) y) x)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ x (- (* (sqrt z) y) x)))
5.0ms	x	@	0	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (/ 1 2) (* (/ 1 2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* y y) (- (* (sqrt z) y) x)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ x (- (* (sqrt z) y) x)))
5.0ms	z	@	inf	((+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (* (sqrt z) 1/2) (sqrt z) (* x 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x)))) (/ 1 2) (* (/ 1 2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (/ (* y y) (- (* (sqrt z) y) x)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (/ x (- (* (sqrt z) y) x)))

simplify208.0ms (3.5%)

Memory

-15.6MiB live, 325.2MiB allocated; 55ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	697	3346
1	2496	2994
0	8942	2855

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 139

Calls

Call 1

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

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

rewrite331.0ms (5.5%)

Memory

-2.8MiB live, 328.3MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	173
0	60	174
1	190	160
2	1148	160
0	8416	153

Stop Event

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

Counts

20 → 746

Calls

Call 1

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

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

eval135.0ms (2.2%)

Memory: 47.4MiB live, 268.5MiB allocated; 64ms collecting garbage
Compiler: Compiled 33 289 to 3 047 computations (90.8% saved)

prune26.0ms (0.4%)

Memory

-25.4MiB live, 66.4MiB allocated; 11ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	808	8	816
Fresh	5	4	9
Picked	2	3	5
Done	0	0	0
Total	815	15	830

Accuracy

100.0%

Counts

830 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
▶	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	23.0%	(.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 x x)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
▶	49.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
	60.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
	89.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 y (-.f64 (.f64 y (sqrt.f64 z)) x)) y) z (.f64 (/.f64 x (-.f64 (*.f64 y (sqrt.f64 z)) x)) (neg.f64 x))))
	75.2%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
✓	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	84.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
	83.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)))
	51.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
	89.6%	#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
▶	2.2%	#s(approx (* (/ 1 2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
▶	94.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 451 to 345 computations (23.5% saved)

simplify168.0ms (2.8%)

Memory

19.5MiB live, 174.3MiB allocated; 36ms 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	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
cost-diff	4	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fma.f64 (sqrt.f64 z) y x)
cost-diff	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	200
0	66	193
1	125	186
2	291	186
3	775	186
4	1988	178
5	3635	178
6	4652	178
7	5197	178
8	6278	178
0	8049	177

Stop Event

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

Calls

Call 1

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

localize134.0ms (2.2%)

Memory

-33.4MiB live, 151.7MiB allocated; 35ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 y)
accuracy	0.08431625976844201	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
accuracy	0.20154541936771622	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
accuracy	6.886372392245797	(sqrt.f64 (*.f64 z y))
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
accuracy	0.20154541936771622	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
accuracy	0.9687848278007435	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	2.6244359815656257	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
accuracy	0.06640625	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.20154541936771622	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
accuracy	1.4402268789549946	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	15.14052300264772	#s(approx (* (/ 1 2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.07421875	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.20154541936771622	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

Samples

55.0ms	132×	0	valid
53.0ms	124×	0	invalid

Compiler

Compiled 182 to 42 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-add: 30.0ms (39.2% of total)

ival-mult: 29.0ms (37.9% of total)

ival-div: 8.0ms (10.5% of total)

ival-sqrt: 7.0ms (9.1% of total)

ival-sub: 1.0ms (1.3% 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)

series24.0ms (0.4%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Counts

19 → 70

Calls

Call 1

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

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

Calls

9 calls:

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

simplify166.0ms (2.8%)

Memory

16.1MiB live, 155.7MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1257
1	1112	1097
2	4743	1042
0	8421	987

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

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

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

rewrite211.0ms (3.5%)

Memory

-18.3MiB live, 256.9MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	168
0	66	151
1	220	142
2	1421	139
0	9220	138

Stop Event

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

Counts

19 → 1 146

Calls

Call 1

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

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

eval121.0ms (2%)

Memory: 11.3MiB live, 201.6MiB allocated; 47ms collecting garbage
Compiler: Compiled 19 317 to 2 148 computations (88.9% saved)

prune18.0ms (0.3%)

Memory

-5.5MiB live, 49.7MiB allocated; 6ms collecting garbage

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	549	6	555
Fresh	6	1	7
Picked	1	4	5
Done	0	3	3
Total	556	14	570

Accuracy

100.0%

Counts

570 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
▶	49.0%	(.f64 (fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 y) x) #s(literal 1/2 binary64))
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	23.0%	(.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 x x)) (-.f64 (.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
	51.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
▶	83.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
▶	51.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	84.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
▶	42.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)))
✓	2.2%	#s(approx (* (/ 1 2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
▶	94.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
✓	94.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 351 to 275 computations (21.7% saved)

simplify430.0ms (7.2%)

Memory

21.0MiB live, 251.7MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	289
0	68	289
1	109	286
2	203	286
3	424	286
4	930	283
5	1699	283
6	2565	283
7	3529	283
8	4252	283
9	4382	283
10	4596	283
11	4613	283
12	4635	283
13	5302	283
14	5950	283
15	6087	283
16	6207	283
17	6217	283
18	6217	283
19	6217	283
20	7217	283
21	7365	283
22	7369	283
23	7373	283
24	7395	283
25	7432	283
26	7444	283
27	7444	283
28	7444	283
29	7444	283
30	7444	283
0	10856	266

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1.7%)

Memory

-1.5MiB live, 233.9MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
accuracy	0.06640625	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.20154541936771622	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
accuracy	5.914658903260523	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.08431625976844201	(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 y) x)
accuracy	0.20154541936771622	(.f64 (fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 y) x) #s(literal 1/2 binary64))
accuracy	6.886372392245797	(sqrt.f64 (*.f64 y z))
accuracy	0.20154541936771622	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)))
accuracy	1.5559152725116188	(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	2.6244359815656257	(.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)
accuracy	17.411920513040634	#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.12890625	(*.f64 (sqrt.f64 z) y)
accuracy	0.20154541936771622	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	17.5125581972427	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
accuracy	0.13671875	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	0.20154541936771622	(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))
accuracy	1.4402268789549946	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)

Samples

40.0ms	132×	0	valid
35.0ms	124×	0	invalid

Compiler

Compiled 203 to 39 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 27.0ms (51.1% of total)

ival-div: 11.0ms (20.8% of total)

ival-add: 7.0ms (13.3% of total)

ival-sqrt: 7.0ms (13.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series62.0ms (1%)

Memory

-43.9MiB live, 81.0MiB allocated; 65ms collecting garbage

Counts

24 → 55

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	z	@	-inf	((+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (sqrt (* y z)) (sqrt y)) x) 1/2) (+ (* (sqrt (* y z)) (sqrt y)) x) (sqrt (* y z)) (* y z) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ 1 (sqrt z)) (/ (* (sqrt z) y) x) (sqrt y) (sqrt (/ 1 z)))
4.0ms	y	@	0	((+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (sqrt (* y z)) (sqrt y)) x) 1/2) (+ (* (sqrt (* y z)) (sqrt y)) x) (sqrt (* y z)) (* y z) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ 1 (sqrt z)) (/ (* (sqrt z) y) x) (sqrt y) (sqrt (/ 1 z)))
3.0ms	y	@	-inf	((+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (sqrt (* y z)) (sqrt y)) x) 1/2) (+ (* (sqrt (* y z)) (sqrt y)) x) (sqrt (* y z)) (* y z) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ 1 (sqrt z)) (/ (* (sqrt z) y) x) (sqrt y) (sqrt (/ 1 z)))
2.0ms	z	@	0	((+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (sqrt (* y z)) (sqrt y)) x) 1/2) (+ (* (sqrt (* y z)) (sqrt y)) x) (sqrt (* y z)) (* y z) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ 1 (sqrt z)) (/ (* (sqrt z) y) x) (sqrt y) (sqrt (/ 1 z)))
2.0ms	y	@	inf	((+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (* (+ (* (sqrt (* y z)) (sqrt y)) x) 1/2) (+ (* (sqrt (* y z)) (sqrt y)) x) (sqrt (* y z)) (* y z) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ 1 (sqrt z)) (/ (* (sqrt z) y) x) (sqrt y) (sqrt (/ 1 z)))

simplify118.0ms (2%)

Memory

27.6MiB live, 114.8MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	439
1	500	410
2	1882	392
3	4062	392
4	6594	392
0	8100	364

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

Calls

Call 1

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

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

rewrite211.0ms (3.5%)

Memory

-2.1MiB live, 280.7MiB allocated; 114ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	254
0	68	256
1	208	245
2	1157	235
0	9084	216

Stop Event

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

Counts

24 → 670

Calls

Call 1

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

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

eval91.0ms (1.5%)

Memory: -6.2MiB live, 181.2MiB allocated; 49ms collecting garbage
Compiler: Compiled 18 240 to 2 630 computations (85.6% saved)

prune25.0ms (0.4%)

Memory

20.4MiB live, 66.5MiB allocated; 7ms collecting garbage

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	600	6	606
Fresh	2	0	2
Picked	3	2	5
Done	2	5	7
Total	607	13	620

Accuracy

100.0%

Counts

620 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
	51.0%	(.f64 (fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x) #s(literal 1/2 binary64))
✓	99.5%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	46.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	83.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
✓	51.9%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
	46.6%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)) #s(literal 1/2 binary64))
	16.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (sqrt.f64 (.f64 (.f64 y z) y))) #s(literal 1/2 binary64))
✓	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	38.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x)))
	37.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (+ ( (/ y x) (sqrt z)) 1) (*.f64 (/.f64 y x) (sqrt.f64 z))) x)))
✓	2.2%	#s(approx (* (/ 1 2) (+ (* z (/ (* y y) (- (* (sqrt z) y) x))) (* x (/ x (- (* (sqrt z) y) x))))) (*.f64 #s(literal -1/2 binary64) x))
✓	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 837 to 340 computations (59.4% saved)

regimes179.0ms (3%)

Memory

-42.6MiB live, 162.0MiB allocated; 44ms collecting garbage

Counts

35 → 1

Calls

Call 1

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

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

Calls

7 calls:

48.0ms	z
46.0ms	(*.f64 y (sqrt.f64 z))
30.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
9.0ms	x
9.0ms	(sqrt.f64 z)

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes23.0ms (0.4%)

Memory

14.2MiB live, 59.9MiB allocated; 3ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(*.f64 y (sqrt.f64 z))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
3.0ms	z
3.0ms	y
3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes19.0ms (0.3%)

Memory

3.2MiB live, 49.5MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(*.f64 y (sqrt.f64 z))
2.0ms	(sqrt.f64 z)
2.0ms	x

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes18.0ms (0.3%)

Memory

1.6MiB live, 52.4MiB allocated; 4ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
60.9%	2	`(sqrt.f64 z)`
74.5%	3	`(*.f64 y (sqrt.f64 z))`
65.1%	5	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
65.1%	5	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
81.0%	3	`x`
73.5%	3	`y`
60.9%	2	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes9.0ms (0.2%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Accuracy

Total -30.7b remaining (-94.6%)

Threshold costs -30.7b (-94.6%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
49.4%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
49.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
49.4%	1	`(sqrt.f64 z)`
49.4%	1	`z`
49.4%	1	`y`
49.4%	1	`(*.f64 y (sqrt.f64 z))`
49.4%	1	`x`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch71.0ms (1.2%)

Memory

-20.5MiB live, 73.7MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	5.034284278925224e-18	8.172763636774185e-15
33.0ms	-0.00013591546256238013	-1.2515746800901266e-18

Samples

39.0ms

288×

valid

Compiler

Compiled 571 to 556 computations (2.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 23.0ms (73.1% of total)

ival-mult: 4.0ms (12.7% of total)

ival-div: 2.0ms (6.4% of total)

ival-sqrt: 2.0ms (6.4% 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)

simplify22.0ms (0.4%)

Memory

-20.2MiB live, 24.7MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -8826904659509207/1298074214633706907132624082305024 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 7950704564631455/40564819207303340847894502572032 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Outputs
(fma.f64 (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -8826904659509207/1298074214633706907132624082305024 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 7950704564631455/40564819207303340847894502572032 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 -8826904659509207/1298074214633706907132624082305024 binary64)) (not (<=.f64 x #s(literal 7950704564631455/40564819207303340847894502572032 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))

derivations464.0ms (7.7%)

Memory

2.0MiB live, 437.6MiB allocated; 84ms 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
0	75	169
1	270	169
2	954	169
3	2978	161
4	6480	161
0	8086	148

Stop Event

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

Compiler

Compiled 78 to 32 computations (59% saved)

preprocess56.0ms (0.9%)

Memory: 6.5MiB live, 53.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 176 to 84 computations (52.3% 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	31	72
1	49	72
2	76	72
3	124	72
4	186	72
5	211	72
6	222	72
7	240	72
8	251	72
9	261	72
10	271	72

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

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

start0.0ms (0%)

analyze65.0ms (1.1%)

sample1.3s (21.8%)

explain146.0ms (2.4%)

preprocess39.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.4%)

localize51.0ms (0.8%)

series8.0ms (0.1%)

simplify128.0ms (2.1%)

rewrite431.0ms (7.2%)

eval55.0ms (0.9%)

prune17.0ms (0.3%)

simplify83.0ms (1.4%)

localize143.0ms (2.4%)

series66.0ms (1.1%)

simplify208.0ms (3.5%)

rewrite331.0ms (5.5%)

eval135.0ms (2.2%)

prune26.0ms (0.4%)

simplify168.0ms (2.8%)

localize134.0ms (2.2%)

series24.0ms (0.4%)

simplify166.0ms (2.8%)

rewrite211.0ms (3.5%)

eval121.0ms (2%)

prune18.0ms (0.3%)

simplify430.0ms (7.2%)

localize100.0ms (1.7%)

series62.0ms (1%)

simplify118.0ms (2%)

rewrite211.0ms (3.5%)

eval91.0ms (1.5%)

prune25.0ms (0.4%)

regimes179.0ms (3%)

regimes23.0ms (0.4%)

regimes19.0ms (0.3%)

regimes18.0ms (0.3%)

regimes9.0ms (0.2%)

bsearch71.0ms (1.2%)

simplify22.0ms (0.4%)

derivations464.0ms (7.7%)

preprocess56.0ms (0.9%)

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