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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze64.0ms (1.2%)

Memory

12.9MiB live, 50.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.6s (29.1%)

Memory

32.0MiB live, 1 132.0MiB allocated

Samples

873.0ms	8 256×	0	valid
204.0ms	2 024×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 637.0ms

ival-mult: 321.0ms (50.4% of total)

ival-div: 113.0ms (17.7% of total)

ival-sqrt: 93.0ms (14.6% of total)

ival-add: 91.0ms (14.3% of total)

exact: 8.0ms (1.3% of total)

ival-true: 7.0ms (1.1% of total)

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

Bogosity

explain104.0ms (1.9%)

Memory

-63.7MiB live, 173.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

52.0ms

512×

valid

Compiler

Compiled 104 to 44 computations (57.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 16.0ms (46.9% of total)

ival-div: 10.0ms (29.3% of total)

ival-sqrt: 5.0ms (14.7% of total)

ival-add: 2.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess71.0ms (1.3%)

Memory

5.7MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	78
1	112	74
2	311	74
3	600	74
4	932	74
5	1348	74
6	1744	74
7	2055	74
8	2168	74
9	2252	74
10	2288	74
11	2292	74
12	2292	74
0	10	8
0	16	8
1	27	8
2	37	8
3	39	8
0	39	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	16	26
1	27	26
2	37	26
3	39	26
0	39	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.5%)

Memory

0.8MiB live, 39.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.21484375	(*.f64 y (sqrt.f64 z))

Samples

18.0ms

256×

valid

Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions

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

ival-mult: 3.0ms (31.5% of total)

ival-sqrt: 3.0ms (31.5% of total)

ival-div: 2.0ms (21% of total)

ival-add: 1.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

5 → 23

Calls

Call 1

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

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

Calls

9 calls:

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

simplify178.0ms (3.3%)

Memory

12.2MiB live, 127.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite222.0ms (4.1%)

Memory

-2.9MiB live, 276.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 272

Calls

Call 1

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

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

eval32.0ms (0.6%)

Memory: 1.0MiB live, 77.3MiB allocated
Compiler: Compiled 8 492 to 946 computations (88.9% saved)

prune11.0ms (0.2%)

Memory

-2.1MiB live, 36.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	269	11	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	270	11	281

Accuracy

100.0%

Counts

281 → 11

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)))
	51.6%	(/.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))
▶	44.7%	(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	87.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
▶	93.2%	#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)))
	47.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	55.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 360 to 286 computations (20.6% saved)

simplify159.0ms (3%)

Memory

-1.2MiB live, 121.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
cost-diff	128	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))
cost-diff	0	(.f64 (fma.f64 (neg.f64 z) (.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(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	36	203
0	62	179
1	111	179
2	187	179
3	336	179
4	629	179
5	1064	179
6	1953	179
7	4692	179
8	6042	179
9	6347	179
10	6648	179
11	6990	179
12	7010	179
13	7935	179
0	8148	179

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

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

localize167.0ms (3.1%)

Memory

-3.0MiB live, 155.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.1328125	(sqrt.f64 (sqrt.f64 z))
accuracy	0.21484375	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))
accuracy	0.530292529305326	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
accuracy	0.0340934392756375	(-.f64 x (*.f64 (sqrt.f64 z) y))
accuracy	0.21484375	(*.f64 (sqrt.f64 z) y)
accuracy	6.892633509672349	(fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))
accuracy	30.49707629162776	(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y)))
accuracy	0.0	(*.f64 z y)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
accuracy	0.37108984477322643	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	4.093122586139933	(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	28.830687583637303	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.10546875	(fma.f64 (sqrt.f64 z) y x)

Samples

132.0ms

256×

valid

Compiler

Compiled 415 to 74 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 50.0ms (51.1% of total)

ival-sqrt: 36.0ms (36.8% of total)

ival-add: 5.0ms (5.1% of total)

ival-div: 4.0ms (4.1% of total)

ival-sub: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series79.0ms (1.5%)

Memory

9.2MiB live, 162.7MiB allocated

Counts

22 → 65

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	z	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- x (* (sqrt z) y)) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
18.0ms	z	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- x (* (sqrt z) y)) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
13.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- x (* (sqrt z) y)) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
5.0ms	x	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- x (* (sqrt z) y)) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
3.0ms	x	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- x (* (sqrt z) y)) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify203.0ms (3.8%)

Memory

1.1MiB live, 157.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	882
1	705	801
2	2684	757
3	6446	756
0	8020	725

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite236.0ms (4.4%)

Memory

5.8MiB live, 248.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	170
0	62	127
1	204	125
2	1125	122
0	8871	122

Stop Event

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

Counts

22 → 1 625

Calls

Call 1

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

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

eval121.0ms (2.3%)

Memory: 17.9MiB live, 207.2MiB allocated
Compiler: Compiled 29 088 to 3 590 computations (87.7% saved)

prune22.0ms (0.4%)

Memory

-8.0MiB live, 67.2MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	988	7	995
Fresh	6	0	6
Picked	3	2	5
Done	0	0	0
Total	997	9	1 006

Accuracy

100.0%

Counts

1 006 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(.f64 (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x) #s(literal 1/2 binary64))
▶	99.8%	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
▶	94.2%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
	99.8%	(.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64)))) y x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	93.4%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))
▶	47.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
▶	93.6%	#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)))
✓	55.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 215 to 170 computations (20.9% saved)

simplify180.0ms (3.3%)

Memory

-14.3MiB live, 103.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y (sqrt.f64 z) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))
cost-diff	3072	(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))
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	320	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(/.f64 y (sqrt.f64 z))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(/.f64 z (sqrt.f64 z))
cost-diff	0	(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
cost-diff	0	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	189
0	54	170
1	101	168
2	238	156
3	568	156
4	1700	156
5	7788	156
6	7941	156
0	8053	156

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2.9%)

Memory

-2.4MiB live, 84.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.10546875	(fma.f64 y (sqrt.f64 z) x)
accuracy	0.296260586642352	(/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
accuracy	4.086058492559881	(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	4.093122586139933	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.21484375	(/.f64 y (sqrt.f64 z))
accuracy	3.768572340387464	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0.0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.21484375	(*.f64 (sqrt.f64 z) y)
accuracy	33.77980148586488	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.10546875	(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
accuracy	0.49609375	(/.f64 z (sqrt.f64 z))

Samples

51.0ms

256×

valid

Compiler

Compiled 375 to 66 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 18.0ms (52.5% of total)

ival-div: 7.0ms (20.4% of total)

ival-add: 6.0ms (17.5% of total)

ival-sqrt: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

19 → 57

Calls

Call 1

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

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

Calls

9 calls:

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

simplify547.0ms (10.2%)

Memory

3.5MiB live, 111.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	993
1	944	925
2	3100	872
0	8453	831

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

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

rewrite187.0ms (3.5%)

Memory

-6.6MiB live, 314.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	161
0	54	142
1	195	141
2	1248	111
0	9242	111

Stop Event

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

Counts

19 → 1 770

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(.f64 (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(.f64 (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))
(.f64 (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))))
(.f64 (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(.f64 (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(.f64 (.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y (sqrt.f64 z)) x)))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(.f64 (.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z)))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(.f64 (.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))) #s(literal 1 binary64))) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))
(.f64 (.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))) #s(literal 1 binary64))) (fma.f64 x x (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))))
(.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (/.f64 (.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 x x (.f64 (.f64 (neg.f64 y) z) y))) (/.f64 (.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y (sqrt.f64 z) 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 (.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y (sqrt.f64 z) 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 (.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y (sqrt.f64 z)) x))) (/.f64 (fma.f64 y (sqrt.f64 z) x) (pow.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z))))) (/.f64 (fma.f64 y (sqrt.f64 z) x) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 z))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (sqrt.f64 z) x) (pow.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z))))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z)))))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (sqrt.f64 z) x) (pow.f64 (fma.f64 x x (.f64 y (-.f64 (.f64 y z) (.f64 x (sqrt.f64 z))))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y))) (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 z))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 y (sqrt.f64 z))))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (.f64 y (-.f64 (.f64 y z) (.f64 x (sqrt.f64 z))))) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 y (sqrt.f64 z)) x))))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 x (.f64 y (sqrt.f64 z))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) y) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y (sqrt.f64 z)) x))))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x))) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 (.f64 (neg.f64 y) z) y))) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x (.f64 y (-.f64 (.f64 y z) (*.f64 x (sqrt.f64 z))))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 y (sqrt.f64 z)) x)) (pow.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 x (.f64 y (sqrt.f64 z)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (.f64 (.f64 y z) y))))
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eval74.0ms (1.4%)

Memory: 22.6MiB live, 139.1MiB allocated
Compiler: Compiled 15 548 to 1 912 computations (87.7% saved)

prune14.0ms (0.3%)

Memory

-0.4MiB live, 35.5MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	633	4	637
Fresh	2	0	2
Picked	3	2	5
Done	0	2	2
Total	638	8	646

Accuracy

100.0%

Counts

646 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	93.7%	(.f64 (fma.f64 #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x) #s(literal 1/2 binary64))
▶	41.3%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	43.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64))
▶	42.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	47.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	55.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 104 to 88 computations (15.4% saved)

simplify37.0ms (0.7%)

Memory

-38.0MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
cost-diff	0	#s(approx (/ y (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
cost-diff	0	(fma.f64 #s(approx (/ y (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x)
cost-diff	0	(.f64 (fma.f64 #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 y z)
cost-diff	0	(/.f64 (*.f64 y z) (sqrt.f64 z))
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64))
cost-diff	384	(/.f64 z (/.f64 (sqrt.f64 z) y))
cost-diff	0	(/.f64 y (sqrt.f64 z))
cost-diff	0	(*.f64 (/.f64 y (sqrt.f64 z)) z)
cost-diff	0	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	187
0	45	187
1	61	187
2	69	187
3	77	187
4	81	187
0	81	181

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (1%)

Memory

-0.3MiB live, 75.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ y (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
accuracy	0.20703125	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy	0.37108984477322643	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	3.768572340387464	(fma.f64 #s(approx (/ y (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x)
accuracy	0.0	(*.f64 y z)
accuracy	0.0	(sqrt.f64 z)
accuracy	8.119373217287515	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	33.77980148586488	#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.25	(/.f64 (sqrt.f64 z) y)
accuracy	7.177635646629159	(/.f64 z (/.f64 (sqrt.f64 z) y))
accuracy	33.77980148586488	#s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.21484375	(/.f64 y (sqrt.f64 z))
accuracy	7.2742506986932876	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	33.77980148586488	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))

Samples

39.0ms

256×

valid

Compiler

Compiled 315 to 50 computations (84.1% saved)

Precisions

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

ival-mult: 11.0ms (44.3% of total)

ival-div: 7.0ms (28.2% of total)

ival-sqrt: 4.0ms (16.1% of total)

ival-add: 2.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

18 → 32

Calls

Call 1

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

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

Calls

9 calls:

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

simplify99.0ms (1.8%)

Memory

4.3MiB live, 83.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	229
1	303	218
2	986	217
3	2912	205
4	6289	205
0	8172	188

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

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

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

rewrite139.0ms (2.6%)

Memory

-15.3MiB live, 182.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	166
0	45	158
1	114	157
2	535	139
0	4474	133

Stop Event

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

Counts

18 → 593

Calls

Call 1

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

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

eval62.0ms (1.1%)

Memory: 6.4MiB live, 119.1MiB allocated
Compiler: Compiled 12 584 to 2 009 computations (84% saved)

prune15.0ms (0.3%)

Memory

1.1MiB live, 40.0MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	504	1	505
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	505	8	513

Accuracy

100.0%

Counts

513 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	41.3%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	43.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64))
✓	42.5%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	47.1%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
	42.4%	(.f64 #s(approx (+ ( (sqrt z) y) x) (.f64 #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)) #s(literal 1/2 binary64))
✓	55.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 480 to 207 computations (56.9% saved)

regimes52.0ms (1%)

Memory

10.2MiB live, 85.7MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	y
9.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
6.0ms	(sqrt.f64 z)
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
6.0ms	x

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes21.0ms (0.4%)

Memory

-26.5MiB live, 26.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

11.0ms	x
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	z
2.0ms	(sqrt.f64 z)
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

Accuracy	Segments	Branch
77.7%	3	`x`
77.9%	3	`y`
67.1%	4	`z`
61.0%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
61.0%	3	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
78.4%	3	`(*.f64 y (sqrt.f64 z))`
67.1%	4	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes8.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
55.0%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
55.0%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
55.0%	1	`z`
55.0%	1	`(sqrt.f64 z)`
55.0%	1	`x`
55.0%	1	`y`
55.0%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.1553643127365859	0.2417545502458375
0.0ms	-1.932829178740292e-7	-2.2210399872268894e-8

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify25.0ms (0.5%)

Memory

6.5MiB live, 44.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	75
1	33	75

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -944473296573929/9444732965739290427392 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))))

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

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -944473296573929/9444732965739290427392 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -944473296573929/9444732965739290427392 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 3602879701896397/18014398509481984 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 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness373.0ms (6.9%)

Memory

-20.4MiB live, 213.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 131 to 57 computations (56.5% saved)

preprocess34.0ms (0.6%)

Memory: 14.1MiB live, 54.2MiB allocated
Compiler: Compiled 186 to 70 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze64.0ms (1.2%)

sample1.6s (29.1%)

explain104.0ms (1.9%)

preprocess71.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize24.0ms (0.5%)

series7.0ms (0.1%)

simplify178.0ms (3.3%)

rewrite222.0ms (4.1%)

eval32.0ms (0.6%)

prune11.0ms (0.2%)

simplify159.0ms (3%)

localize167.0ms (3.1%)

series79.0ms (1.5%)

simplify203.0ms (3.8%)

rewrite236.0ms (4.4%)

eval121.0ms (2.3%)

prune22.0ms (0.4%)

simplify180.0ms (3.3%)

localize154.0ms (2.9%)

series18.0ms (0.3%)

simplify547.0ms (10.2%)

rewrite187.0ms (3.5%)

eval74.0ms (1.4%)

prune14.0ms (0.3%)

simplify37.0ms (0.7%)

localize56.0ms (1%)

series13.0ms (0.2%)

simplify99.0ms (1.8%)

rewrite139.0ms (2.6%)

eval62.0ms (1.1%)

prune15.0ms (0.3%)

regimes52.0ms (1%)

regimes21.0ms (0.4%)

regimes8.0ms (0.2%)

bsearch1.0ms (0%)

simplify25.0ms (0.5%)

soundness373.0ms (6.9%)

preprocess34.0ms (0.6%)

end0.0ms (0%)

Profiling