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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze214.0ms (3.7%)

Memory

-10.0MiB live, 63.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.4s (24.2%)

Memory

18.9MiB live, 1 299.0MiB allocated

Samples

682.0ms	8 256×	0	valid
208.0ms	2 041×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-mult: 124.0ms (33.5% of total)

ival-div: 98.0ms (26.5% of total)

ival-sqrt: 79.0ms (21.4% of total)

ival-add: 46.0ms (12.4% of total)

exact: 11.0ms (3% of total)

ival-true: 8.0ms (2.2% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain240.0ms (4.2%)

Memory

11.7MiB live, 94.5MiB 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

108.0ms

512×

valid

Compiler

Compiled 104 to 44 computations (57.7% saved)

Precisions

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

ival-mult: 6.0ms (35.6% of total)

ival-sqrt: 4.0ms (23.7% of total)

ival-div: 3.0ms (17.8% of total)

ival-add: 2.0ms (11.9% of total)

exact: 1.0ms (5.9% of total)

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

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

preprocess171.0ms (3%)

Memory

-24.7MiB live, 53.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	78
1	112	74
2	311	74
3	629	74
4	1004	74
5	1489	74
6	1931	74
7	2250	74
8	2399	74
9	2485	74
10	2525	74
11	2529	74
12	2529	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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

localize41.0ms (0.7%)

Memory

-8.2MiB live, 35.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.2578125	(*.f64 y (sqrt.f64 z))

Samples

35.0ms

256×

valid

Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions

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

ival-sqrt: 20.0ms (74.3% of total)

ival-mult: 3.0ms (11.1% of total)

ival-div: 2.0ms (7.4% of total)

ival-add: 1.0ms (3.7% 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

9.0MiB live, 9.0MiB 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))

simplify190.0ms (3.3%)

Memory

-12.5MiB live, 101.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	158
1	251	158
2	805	158
3	2310	150
4	5209	150
5	7705	150
0	8081	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)

rewrite320.0ms (5.6%)

Memory

13.3MiB live, 224.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	41	21
2	234	21
3	2021	21
0	8198	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 (-.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)))

eval82.0ms (1.4%)

Memory: -7.7MiB live, 65.9MiB allocated
Compiler: Compiled 8 492 to 946 computations (88.9% saved)

prune25.0ms (0.4%)

Memory

-9.1MiB live, 29.9MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	267	13	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	13	281

Accuracy

100.0%

Counts

281 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
	48.5%	(/.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)))
	99.6%	(/.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))
	86.5%	(.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)))))))
	39.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 x x)) (.f64 (.f64 z y) y))) (.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 x x)) (-.f64 x (*.f64 (sqrt.f64 z) y)))))
▶	33.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (.f64 z y) y))) (.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y)))))
▶	99.5%	(.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))))))
	55.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.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)))))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	91.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	51.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 532 to 356 computations (33.1% saved)

simplify207.0ms (3.6%)

Memory

19.0MiB live, 131.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(.f64 (neg.f64 (.f64 x x)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1472	(-.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (*.f64 z y) y)))
cost-diff	2944	(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (.f64 z y) y))) (.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (-.f64 x (.f64 (sqrt.f64 z) y))))
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	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
cost-diff	128	(+.f64 x (*.f64 y (sqrt.f64 z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	332
0	72	309
1	141	288
2	396	255
3	2378	251
4	7658	251
0	8911	245

Stop Event

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

Calls

Call 1

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

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

localize180.0ms (3.1%)

Memory

-10.3MiB live, 108.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	3.2595406828839026	(.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (.f64 z y) y))
accuracy	5.420706822510147	(.f64 (neg.f64 (.f64 x x)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
accuracy	8.0390274091135	(-.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (*.f64 z y) y)))
accuracy	41.185108281195625	(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (.f64 z y) y))) (.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (-.f64 x (.f64 (sqrt.f64 z) y))))
accuracy	0.00390625	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
accuracy	0.13671875	(sqrt.f64 (sqrt.f64 z))
accuracy	0.2578125	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))
accuracy	0.5592575195368841	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
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	0.10546875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	5.335139187237581	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	32.37073082753852	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.2578125	(*.f64 y (sqrt.f64 z))

Samples

139.0ms

256×

valid

Compiler

Compiled 676 to 81 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 101.0ms (84.5% of total)

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

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

ival-add: 3.0ms (2.5% of total)

ival-sub: 2.0ms (1.7% of total)

ival-neg: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series96.0ms (1.7%)

Memory

16.3MiB live, 146.3MiB allocated

Counts

21 → 104

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	z	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (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)))))) (/ (- (* (neg (* x x)) (- x (* (sqrt z) y))) (* (neg (- x (* (sqrt z) y))) (* (* z y) y))) (* (neg (- x (* (sqrt z) y))) (- x (* (sqrt z) y)))) (- (* (neg (* x x)) (- x (* (sqrt z) y))) (* (neg (- x (* (sqrt z) y))) (* (* z y) y))) (* (neg (* x x)) (- x (* (sqrt z) y))) (sqrt (/ 1 z)) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)) (* (neg (- x (* (sqrt z) y))) (* (* z y) y)))
18.0ms	z	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (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)))))) (/ (- (* (neg (* x x)) (- x (* (sqrt z) y))) (* (neg (- x (* (sqrt z) y))) (* (* z y) y))) (* (neg (- x (* (sqrt z) y))) (- x (* (sqrt z) y)))) (- (* (neg (* x x)) (- x (* (sqrt z) y))) (* (neg (- x (* (sqrt z) y))) (* (* z y) y))) (* (neg (* x x)) (- x (* (sqrt z) y))) (sqrt (/ 1 z)) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)) (* (neg (- x (* (sqrt z) y))) (* (* z y) y)))
15.0ms	z	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (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)))))) (/ (- (* (neg (* x x)) (- x (* (sqrt z) y))) (* (neg (- x (* (sqrt z) y))) (* (* z y) y))) (* (neg (- x (* (sqrt z) y))) (- x (* (sqrt z) y)))) (- (* (neg (* x x)) (- x (* (sqrt z) y))) (* (neg (- x (* (sqrt z) y))) (* (* z y) y))) (* (neg (* x x)) (- x (* (sqrt z) y))) (sqrt (/ 1 z)) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)) (* (neg (- x (* (sqrt z) y))) (* (* z y) y)))
6.0ms	y	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (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)))))) (/ (- (* (neg (* x x)) (- x (* (sqrt z) y))) (* (neg (- x (* (sqrt z) y))) (* (* z y) y))) (* (neg (- x (* (sqrt z) y))) (- x (* (sqrt z) y)))) (- (* (neg (* x x)) (- x (* (sqrt z) y))) (* (neg (- x (* (sqrt z) y))) (* (* z y) y))) (* (neg (* x x)) (- x (* (sqrt z) y))) (sqrt (/ 1 z)) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)) (* (neg (- x (* (sqrt z) y))) (* (* z y) y)))
4.0ms	x	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (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)))))) (/ (- (* (neg (* x x)) (- x (* (sqrt z) y))) (* (neg (- x (* (sqrt z) y))) (* (* z y) y))) (* (neg (- x (* (sqrt z) y))) (- x (* (sqrt z) y)))) (- (* (neg (* x x)) (- x (* (sqrt z) y))) (* (neg (- x (* (sqrt z) y))) (* (* z y) y))) (* (neg (* x x)) (- x (* (sqrt z) y))) (sqrt (/ 1 z)) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)) (* (neg (- x (* (sqrt z) y))) (* (* z y) y)))

simplify247.0ms (4.3%)

Memory

-7.1MiB live, 223.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	581	3076
1	2032	2587
0	8459	2478

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 103

Calls

Call 1

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

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

rewrite563.0ms (9.9%)

Memory

10.7MiB live, 289.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	215
0	68	154
1	219	145
2	1327	143
0	8715	132

Stop Event

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

Counts

21 → 1 673

Calls

Call 1

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

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

eval155.0ms (2.7%)

Memory: 9.9MiB live, 286.3MiB allocated
Compiler: Compiled 40 498 to 3 734 computations (90.8% saved)

prune19.0ms (0.3%)

Memory

-22.4MiB live, 55.3MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	913	4	917
Fresh	7	1	8
Picked	2	3	5
Done	0	0	0
Total	922	8	930

Accuracy

100.0%

Counts

930 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	93.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
▶	91.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 z y) (sqrt.f64 z))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	84.6%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)))
▶	51.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	91.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 162 to 139 computations (14.2% saved)

simplify240.0ms (4.2%)

Memory

33.9MiB live, 153.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)))
cost-diff	704	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
cost-diff	0	(*.f64 z y)
cost-diff	0	(/.f64 (*.f64 z y) (sqrt.f64 z))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 z y) (sqrt.f64 z))))
cost-diff	128	(+.f64 x (/.f64 (*.f64 z y) (sqrt.f64 z)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(/.f64 y (sqrt.f64 z))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
cost-diff	0	(sqrt.f64 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	28	183
0	48	177
1	79	177
2	109	177
3	145	177
4	165	177
5	172	174
6	174	174
7	216	174
8	360	174
9	1255	174
10	1851	174
11	2235	174
12	2866	174
13	3408	174
14	4071	174
15	5082	174
16	5503	174
17	5645	174
18	5740	174
19	5828	174
20	5909	174
21	6996	174
22	7625	174
23	7738	174
24	7821	174
25	7908	174
0	8004	171

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

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

localize85.0ms (1.5%)

Memory

-26.9MiB live, 131.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
accuracy	0.10546875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.1171875	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
accuracy	9.786007887023175	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 z y) (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (/.f64 (*.f64 z y) (sqrt.f64 z)))
accuracy	8.87123270712658	(/.f64 (*.f64 z y) (sqrt.f64 z))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.23046875	(/.f64 y (sqrt.f64 z))
accuracy	3.8387402417328347	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.2578125	(*.f64 (sqrt.f64 z) y)
accuracy	30.868755802843047	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.1484375	(fma.f64 (sqrt.f64 z) y x)

Samples

58.0ms

256×

valid

Compiler

Compiled 340 to 56 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 14.0ms (36.7% of total)

ival-add: 13.0ms (34% of total)

ival-div: 6.0ms (15.7% of total)

ival-sqrt: 4.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

7.3MiB live, 46.2MiB allocated

Counts

18 → 40

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

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

Calls

9 calls:

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

simplify116.0ms (2%)

Memory

3.2MiB live, 145.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	322
1	367	301
2	1241	297
3	3437	283
4	7310	283
0	8129	260

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

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

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

rewrite148.0ms (2.6%)

Memory

2.1MiB live, 234.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	151
0	48	131
1	174	130
2	1249	130
0	8711	127

Stop Event

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

Counts

18 → 694

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

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

eval65.0ms (1.1%)

Memory: -24.4MiB live, 135.6MiB allocated
Compiler: Compiled 11 805 to 2 150 computations (81.8% saved)

prune12.0ms (0.2%)

Memory

-8.4MiB live, 36.1MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	507	3	510
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	510	8	518

Accuracy

100.0%

Counts

518 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	44.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
▶	47.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	51.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	47.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)))
✓	91.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 122 to 102 computations (16.4% saved)

simplify5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	192
0	41	192
1	55	192
2	56	192
0	56	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (0.9%)

Memory

16.3MiB live, 94.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	8.87123270712658	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	30.868755802843047	#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.23046875	(/.f64 y (sqrt.f64 z))
accuracy	5.675014304457031	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	30.868755802843047	#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))
accuracy	0.10546875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.23828125	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy	9.786007887023175	(.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)
accuracy	29.441602389553392	#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))

Samples

35.0ms

256×

valid

Compiler

Compiled 304 to 51 computations (83.2% saved)

Precisions

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

ival-mult: 11.0ms (47.8% of total)

ival-div: 6.0ms (26% of total)

ival-sqrt: 4.0ms (17.4% of total)

ival-add: 2.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

-9.8MiB live, 28.1MiB allocated

Counts

15 → 38

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (sqrt z))
2.0ms	z	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (sqrt z))
1.0ms	z	@	0	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (sqrt z))
1.0ms	y	@	inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (sqrt z))
1.0ms	z	@	inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (sqrt z))

simplify123.0ms (2.1%)

Memory

11.4MiB live, 128.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	296
1	333	275
2	1091	271
3	3191	261
4	6989	261
0	8146	240

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

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

rewrite149.0ms (2.6%)

Memory

14.4MiB live, 161.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	177
0	41	159
1	109	158
2	727	146
0	8972	140

Stop Event

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

Counts

15 → 239

Calls

Call 1

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

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

eval24.0ms (0.4%)

Memory: 2.0MiB live, 39.1MiB allocated
Compiler: Compiled 4 196 to 883 computations (79% saved)

prune25.0ms (0.4%)

Memory

-15.8MiB live, 32.6MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	200	8	208

Accuracy

100.0%

Counts

208 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	44.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
✓	47.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	51.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	47.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (+ ( (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)))
✓	91.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 508 to 214 computations (57.9% saved)

regimes45.0ms (0.8%)

Memory

24.6MiB live, 61.4MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	(+.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
6.0ms	z

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)

regimes15.0ms (0.3%)

Memory

-14.1MiB live, 23.3MiB 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(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)))

Outputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
74.8%	3	`x`
80.5%	3	`y`
65.2%	2	`z`
62.5%	5	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
62.5%	5	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
81.1%	3	`(*.f64 y (sqrt.f64 z))`
65.2%	2	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes9.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB 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	z
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	x
1.0ms	(sqrt.f64 z)
1.0ms	(*.f64 y (sqrt.f64 z))

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	23158.22307835326	7512970672.768324
0.0ms	-2.9042710295896747e-81	-3.585200812799959e-82

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify12.0ms (0.2%)

Memory

-24.3MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	61
1	40	61
2	52	61
3	56	61

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1067993517960455/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 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 40000 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))))

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

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1067993517960455/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 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 40000 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (or (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -1067993517960455/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (not (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 40000 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness359.0ms (6.3%)

Memory

26.5MiB live, 178.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	158
1	251	158
2	805	158
3	2310	150
4	5209	150
5	7705	150
0	8081	135
0	10	21
0	16	21
1	41	21
2	234	21
3	2021	21
0	8198	19

Stop Event

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

Compiler

Compiled 115 to 59 computations (48.7% saved)

preprocess60.0ms (1%)

Memory: -24.1MiB live, 56.2MiB allocated
Compiler: Compiled 154 to 74 computations (51.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze214.0ms (3.7%)

sample1.4s (24.2%)

explain240.0ms (4.2%)

preprocess171.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize41.0ms (0.7%)

series7.0ms (0.1%)

simplify190.0ms (3.3%)

rewrite320.0ms (5.6%)

eval82.0ms (1.4%)

prune25.0ms (0.4%)

simplify207.0ms (3.6%)

localize180.0ms (3.1%)

series96.0ms (1.7%)

simplify247.0ms (4.3%)

rewrite563.0ms (9.9%)

eval155.0ms (2.7%)

prune19.0ms (0.3%)

simplify240.0ms (4.2%)

localize85.0ms (1.5%)

series18.0ms (0.3%)

simplify116.0ms (2%)

rewrite148.0ms (2.6%)

eval65.0ms (1.1%)

prune12.0ms (0.2%)

simplify5.0ms (0.1%)

localize49.0ms (0.9%)

series15.0ms (0.3%)

simplify123.0ms (2.1%)

rewrite149.0ms (2.6%)

eval24.0ms (0.4%)

prune25.0ms (0.4%)

regimes45.0ms (0.8%)

regimes15.0ms (0.3%)

regimes9.0ms (0.2%)

bsearch1.0ms (0%)

simplify12.0ms (0.2%)

soundness359.0ms (6.3%)

preprocess60.0ms (1%)

end0.0ms (0%)

Profiling