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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze50.0ms (0.8%)

Memory

9.1MiB live, 55.1MiB 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 (22.2%)

Memory

27.5MiB live, 1 391.3MiB allocated

Samples

719.0ms	8 255×	0	valid
242.0ms	2 121×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 585.0ms

ival-mult: 234.0ms (40% of total)

ival-div: 209.0ms (35.7% of total)

ival-sqrt: 72.0ms (12.3% of total)

ival-add: 47.0ms (8% of total)

exact: 11.0ms (1.9% of total)

ival-true: 9.0ms (1.5% of total)

ival-assert: 4.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain130.0ms (2%)

Memory

23.2MiB live, 117.3MiB 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

34.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

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

ival-mult: 6.0ms (34.9% of total)

ival-sqrt: 4.0ms (23.3% of total)

ival-div: 3.0ms (17.5% of total)

ival-add: 2.0ms (11.6% of total)

exact: 1.0ms (5.8% of total)

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

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

preprocess39.0ms (0.6%)

Memory

-18.1MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
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
▶	99.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify9.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB 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	1	(+.f64 x (*.f64 y (sqrt.f64 z)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (0.7%)

Memory

-23.8MiB live, 33.8MiB 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	0.006191259768442017	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.16015625	(*.f64 y (sqrt.f64 z))

Samples

19.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (36.4% of total)

ival-div: 2.0ms (24.3% of total)

ival-sqrt: 2.0ms (24.3% of total)

ival-add: 1.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB 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))

simplify141.0ms (2.2%)

Memory

24.0MiB live, 116.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	169
1	270	169
2	954	169
3	2978	161
4	6480	161
0	8086	148

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite203.0ms (3.1%)

Memory

-24.7MiB live, 212.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	46	21
2	259	21
3	2201	21
0	8582	19

Stop Event

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

Counts

5 → 387

Calls

Call 1

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

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

eval66.0ms (1%)

Memory: 16.1MiB live, 115.1MiB allocated
Compiler: Compiled 13 680 to 1 346 computations (90.2% saved)

prune18.0ms (0.3%)

Memory

-11.6MiB live, 35.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Accuracy

100.0%

Counts

398 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	22.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
	52.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 (sqrt.f64 z) y)) (sqrt.f64 (*.f64 (sqrt.f64 z) y)) x))
	47.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
▶	66.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	89.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))))
▶	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	94.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	47.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	53.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 340 to 278 computations (18.2% saved)

simplify22.0ms (0.3%)

Memory

-10.8MiB live, 35.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	181
0	57	176
1	93	176
2	140	176
3	225	176
4	337	176
5	412	176
6	465	176
7	517	176
8	553	176
9	583	176
10	613	176
0	613	176

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (1.1%)

Memory

34.6MiB live, 132.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64))))
accuracy	0.234375	(/.f64 (sqrt.f64 z) x)
accuracy	2.553378374849631	(*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y))
accuracy	5.213415213993388	(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 z y)
accuracy	0.006191259768442017	(+.f64 x (sqrt.f64 (.f64 (.f64 z y) y)))
accuracy	0.14453125	(.f64 (.f64 z y) y)
accuracy	21.67784526308258	(sqrt.f64 (.f64 (.f64 z y) y))
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0703125	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	29.54051440653847	#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	0.006191259768442017	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.16015625	(*.f64 y (sqrt.f64 z))

Samples

53.0ms

256×

valid

Compiler

Compiled 165 to 29 computations (82.4% saved)

Precisions

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

ival-mult: 20.0ms (58.2% of total)

ival-sqrt: 4.0ms (11.6% of total)

ival-div: 3.0ms (8.7% of total)

ival-add: 3.0ms (8.7% of total)

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

ival-sub: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series75.0ms (1.1%)

Memory

-41.5MiB live, 51.8MiB allocated

Counts

19 → 33

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	x	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (* (* z y) y) (* z y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x))
8.0ms	z	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (* (* z y) y) (* z y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x))
3.0ms	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) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (* (* z y) y) (* z y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x))
3.0ms	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) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (* (* z y) y) (* z y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x))
2.0ms	y	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (* (* z y) y) (* z y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x))

simplify367.0ms (5.6%)

Memory

28.6MiB live, 282.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	237
1	326	230
2	1132	228
3	3570	216
4	6687	216
0	8273	203

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

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

rewrite137.0ms (2.1%)

Memory

-18.3MiB live, 218.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	143
0	57	130
1	151	130
2	773	130
0	8797	130

Stop Event

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

Counts

19 → 713

Calls

Call 1

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

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

eval46.0ms (0.7%)

Memory: 9.6MiB live, 99.5MiB allocated
Compiler: Compiled 9 536 to 1 433 computations (85% saved)

prune16.0ms (0.2%)

Memory

-16.5MiB live, 36.3MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	368	8	376
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	376	11	387

Accuracy

100.0%

Counts

387 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) y x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	89.2%	(.f64 #s(approx (+ x ( y (sqrt z))) (.f64 (-.f64 (.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) #s(literal 1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64))
▶	70.8%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))))
▶	47.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	66.4%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
	94.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
▶	47.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	89.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))))
✓	53.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 283 to 232 computations (18% saved)

simplify120.0ms (1.8%)

Memory

6.7MiB live, 92.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z (-.f64 (*.f64 (sqrt.f64 z) y) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 z) x))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 z) x)))))
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))))
cost-diff	0	(*.f64 z y)
cost-diff	0	(sqrt.f64 (*.f64 z y))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
cost-diff	0	(pow.f64 z #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) y x)
cost-diff	0	(*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) y x) #s(literal 1/2 binary64))
cost-diff	3	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	278
0	70	287
1	126	275
2	285	265
3	719	265
4	1751	265
5	2982	265
6	3406	265
7	3469	265
8	3519	265
9	3519	265
10	3563	265
11	3583	265
12	3603	265
13	3623	265
14	3623	265
15	3639	265
0	3639	265

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize222.0ms (3.4%)

Memory

27.1MiB live, 284.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(*.f64 (sqrt.f64 z) y)
accuracy	1.4687176217986182	(/.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 z) x))
accuracy	1.9528762813081126	(/.f64 z (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	6.921879005511696	(fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 z) x))))
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64))))
accuracy	0.12109375	(/.f64 (sqrt.f64 z) x)
accuracy	1.4772863950073625	(*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y))
accuracy	2.1363431220297793	(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.06640625	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
accuracy	6.98907403439263	(sqrt.f64 (*.f64 z y))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.08203125	(*.f64 (sqrt.f64 z) y)
accuracy	17.291848169758875	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(pow.f64 z #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) y x) #s(literal 1/2 binary64))
accuracy	0.04296875	(fma.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) y x)
accuracy	0.266288769536884	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))

Samples

82.0ms	130×	0	invalid
65.0ms	126×	0	valid

Compiler

Compiled 255 to 41 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 55.0ms (44.2% of total)

ival-pow2: 31.0ms (24.9% of total)

ival-sub: 12.0ms (9.6% of total)

ival-pow: 7.0ms (5.6% of total)

ival-add: 6.0ms (4.8% of total)

ival-div: 5.0ms (4% of total)

ival-sqrt: 5.0ms (4% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series148.0ms (2.3%)

Memory

2.7MiB live, 338.0MiB allocated

Counts

24 → 133

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
53.0ms	z	@	0	((pow (pow z 1/4) 2) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (pow z 1/4) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (neg x) (* 1/2 (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (+ (* (neg y) (sqrt z)) x))))) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (+ (* (neg y) (sqrt z)) x)))) (* y y) (/ z (- (* (sqrt z) y) x)) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x) (/ x (+ (* (neg y) (sqrt z)) x)))
35.0ms	z	@	-inf	((pow (pow z 1/4) 2) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (pow z 1/4) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (neg x) (* 1/2 (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (+ (* (neg y) (sqrt z)) x))))) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (+ (* (neg y) (sqrt z)) x)))) (* y y) (/ z (- (* (sqrt z) y) x)) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x) (/ x (+ (* (neg y) (sqrt z)) x)))
20.0ms	z	@	inf	((pow (pow z 1/4) 2) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (pow z 1/4) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (neg x) (* 1/2 (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (+ (* (neg y) (sqrt z)) x))))) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (+ (* (neg y) (sqrt z)) x)))) (* y y) (/ z (- (* (sqrt z) y) x)) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x) (/ x (+ (* (neg y) (sqrt z)) x)))
15.0ms	y	@	0	((pow (pow z 1/4) 2) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (pow z 1/4) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (neg x) (* 1/2 (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (+ (* (neg y) (sqrt z)) x))))) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (+ (* (neg y) (sqrt z)) x)))) (* y y) (/ z (- (* (sqrt z) y) x)) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x) (/ x (+ (* (neg y) (sqrt z)) x)))
7.0ms	y	@	-inf	((pow (pow z 1/4) 2) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (pow z 1/4) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (neg x) (* 1/2 (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (+ (* (neg y) (sqrt z)) x))))) (+ (* (* y y) (/ z (- (* (sqrt z) y) x))) (* x (/ x (+ (* (neg y) (sqrt z)) x)))) (* y y) (/ z (- (* (sqrt z) y) x)) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x) (/ x (+ (* (neg y) (sqrt z)) x)))

simplify306.0ms (4.7%)

Memory

-3.0MiB live, 301.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	717	3161
1	2648	2526
0	9271	2406

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 132

Calls

Call 1

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

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

rewrite183.0ms (2.8%)

Memory

-18.4MiB live, 364.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	213
0	70	194
1	244	194
2	1439	194
0	8724	194

Stop Event

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

Counts

24 → 1 007

Calls

Call 1

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

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

eval476.0ms (7.3%)

Memory: 52.4MiB live, 547.8MiB allocated
Compiler: Compiled 36 101 to 3 388 computations (90.6% saved)

prune32.0ms (0.5%)

Memory

-10.4MiB live, 88.0MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	911	5	916
Fresh	1	2	3
Picked	3	2	5
Done	0	3	3
Total	915	12	927

Accuracy

100.0%

Counts

927 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	89.2%	(.f64 #s(approx (+ ( (pow (pow z 1/4) 2) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
	81.7%	(.f64 #s(approx (+ ( (pow (pow z 1/4) 2) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
	70.1%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x #s(approx (/ x (+ (* (neg y) (sqrt z)) x)) #s(literal 1 binary64)))))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	66.4%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	94.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
▶	20.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 y))))
✓	47.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	89.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))))
▶	13.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 y y) z))))
✓	53.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 323 to 260 computations (19.5% saved)

simplify196.0ms (3%)

Memory

5.3MiB live, 97.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	254
0	66	254
1	107	250
2	191	248
3	372	248
4	928	239
5	2901	239
6	4164	239
7	4820	239
8	5077	239
9	5874	239
10	6930	239
11	7836	239
0	8268	228

Stop Event

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

Calls

Call 1

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

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

localize639.0ms (9.8%)

Memory

0.8MiB live, 135.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (+ (* (pow (pow z 1/4) 2) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
accuracy	0.7673726231486699	(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	2.1363431220297793	(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.13671875	(.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 y))
accuracy	6.98907403439263	(sqrt.f64 (*.f64 y z))
accuracy	17.291848169758875	#s(approx (+ x (* y (sqrt z))) (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 y)))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
accuracy	0.006191259768442017	(+.f64 x (sqrt.f64 (.f64 (.f64 z y) y)))
accuracy	0.06640625	(.f64 (.f64 z y) y)
accuracy	9.326827959703282	(sqrt.f64 (.f64 (.f64 z y) y))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 y y) z))))
accuracy	4.4835139979883945	(.f64 (.f64 y y) z)
accuracy	9.326827959703282	(sqrt.f64 (.f64 (.f64 y y) z))
accuracy	17.291848169758875	#s(approx (+ x (* y (sqrt z))) (sqrt.f64 (.f64 (.f64 y y) z)))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x))
accuracy	0.09765625	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	1.4517342124555432	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)

Samples

504.0ms	126×	0	valid
111.0ms	130×	0	invalid

Compiler

Compiled 189 to 37 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 594.0ms

ival-mult: 490.0ms (82.5% of total)

ival-pow2: 77.0ms (13% of total)

ival-sqrt: 10.0ms (1.7% of total)

ival-add: 6.0ms (1% of total)

ival-pow: 6.0ms (1% of total)

ival-div: 4.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

41.6MiB live, 41.6MiB allocated

Counts

22 → 45

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y y) z)) (* (* y y) z) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt (* y z)) (sqrt y)) (sqrt (* y z)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (+ (* (/ y x) (sqrt z)) 1) (sqrt y) (sqrt z))
3.0ms	z	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y y) z)) (* (* y y) z) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt (* y z)) (sqrt y)) (sqrt (* y z)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (+ (* (/ y x) (sqrt z)) 1) (sqrt y) (sqrt z))
2.0ms	z	@	0	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y y) z)) (* (* y y) z) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt (* y z)) (sqrt y)) (sqrt (* y z)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (+ (* (/ y x) (sqrt z)) 1) (sqrt y) (sqrt z))
2.0ms	y	@	inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y y) z)) (* (* y y) z) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt (* y z)) (sqrt y)) (sqrt (* y z)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (+ (* (/ y x) (sqrt z)) 1) (sqrt y) (sqrt z))
2.0ms	z	@	inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y y) z)) (* (* y y) z) (* 1/2 (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (* (* z y) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt (* y z)) (sqrt y)) (sqrt (* y z)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (+ (* (/ y x) (sqrt z)) 1) (sqrt y) (sqrt z))

simplify138.0ms (2.1%)

Memory

-23.3MiB live, 159.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	332
1	409	313
2	1446	294
3	3442	293
4	5841	293
5	7320	293
0	8064	274

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

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

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

rewrite283.0ms (4.3%)

Memory

8.1MiB live, 207.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	216
0	66	208
1	205	195
2	1087	179
0	10260	166

Stop Event

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

Counts

22 → 973

Calls

Call 1

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

Outputs
(.f64 #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 z) y x))) (.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y x)))) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) z) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 (.f64 y y) z) (-.f64 (.f64 (sqrt.f64 z) y) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)))) (+.f64 (/.f64 (.f64 (.f64 y y) z) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))))) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x)))) (.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x))))) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 z) y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 z) y x)) (fma.f64 (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (.f64 (.f64 y y) z) (fma.f64 (sqrt.f64 z) y x)) (.f64 (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (.f64 (*.f64 y y) z) (fma.f64 (sqrt.f64 z) y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) z) (-.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) z) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 (.f64 y y) z) (-.f64 (.f64 (sqrt.f64 z) y) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 (/.f64 (.f64 (.f64 y y) z) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x))))) (.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) z (.f64 x x))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y y) z))) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) z) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 (sqrt.f64 z) y x)) (.f64 (fma.f64 (sqrt.f64 z) y x) (.f64 (.f64 y y) z))) (fma.f64 x x (.f64 (*.f64 y y) z)))
(/.f64 (fma.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x))) (.f64 (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x))) (fma.f64 (.f64 y y) z (*.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x)) (.f64 (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 y y) z (.f64 x x)) (neg.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 y y) z)) (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x))))
(/.f64 (fma.f64 (.f64 y y) z (.f64 x (neg.f64 x))) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) z)) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (fma.f64 z y (.f64 x (sqrt.f64 z))) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) z (.f64 x (neg.f64 x))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 y y) z (.f64 x (fma.f64 (sqrt.f64 z) y x))))))
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(fma.f64 (.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 z #s(literal 1/8 binary64))) x)
(fma.f64 (.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/8 binary64)) x)
(fma.f64 (.f64 (sqrt.f64 y) (pow.f64 (.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) x)
(fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) x)
(fma.f64 (.f64 (neg.f64 (sqrt.f64 y)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) x)
(fma.f64 (.f64 (.f64 z y) (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)) x)
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) y) z x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 3/8 binary64))) (pow.f64 z #s(literal 1/8 binary64)) x)
(fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 3/8 binary64)) x)
(fma.f64 (.f64 (sqrt.f64 y) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 z y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) x)
(fma.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) z x)
(fma.f64 (.f64 (sqrt.f64 y) (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) (.f64 (sqrt.f64 y) (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) x)
(fma.f64 (.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 y)) (.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/8 binary64))) (/.f64 (*.f64 z y) (pow.f64 z #s(literal 3/8 binary64))) x)
(fma.f64 (/.f64 (*.f64 z y) (pow.f64 z #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/8 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) (/.f64 (*.f64 z y) (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) x)
(fma.f64 (/.f64 (*.f64 z y) (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3/8 binary64))) (/.f64 (*.f64 z y) (pow.f64 z #s(literal 1/8 binary64))) x)
(fma.f64 (/.f64 (*.f64 z y) (pow.f64 z #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3/8 binary64))) x)
(fma.f64 (/.f64 (*.f64 z y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)) x)
(fma.f64 (neg.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) (neg.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) x)
(fma.f64 (neg.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) x)
(fma.f64 (fabs.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64)))) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (fabs.f64 z) x)
(fma.f64 (fabs.f64 (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64)) x)
(fma.f64 (fabs.f64 z) (fabs.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))) x)
(fma.f64 (fabs.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) (fabs.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))) x)
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (.f64 z y))) x)
(fma.f64 (sqrt.f64 (.f64 (.f64 z y) (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)) x)
(fma.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 z) y) y)) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 z y) (sqrt.f64 y))) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z))) x)
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(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 y (neg.f64 (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (fma.f64 z (/.f64 y x) (sqrt.f64 z))))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (fma.f64 z (/.f64 y x) (sqrt.f64 z))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) z) (-.f64 (.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (fma.f64 z (/.f64 y x) (sqrt.f64 z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (fma.f64 z (/.f64 y x) (sqrt.f64 z))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (fma.f64 z (/.f64 y x) (sqrt.f64 z))))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (fma.f64 z (/.f64 y x) (sqrt.f64 z))))))
(+.f64 (pow.f64 (fma.f64 (/.f64 y x) (fma.f64 z (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (fma.f64 z (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (fma.f64 z (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (fma.f64 z (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 1/2 binary64))))
(.f64 (.f64 (pow.f64 z #s(literal 3/8 binary64)) (pow.f64 z #s(literal 1/16 binary64))) (pow.f64 z #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 (pow.f64 z #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 z #s(literal 1/8 binary64))))
(.f64 (.f64 z (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/8 binary64))) (/.f64 z (pow.f64 z #s(literal 3/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) (/.f64 z (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3/8 binary64))) (/.f64 z (pow.f64 z #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 3/8 binary64)) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 z (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 (pow.f64 z #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 z #s(literal 3/8 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)
(*.f64 z (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 1/8 binary64))
(pow.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 z #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) (cosh.f64 (log.f64 (sqrt.f64 z)))) (.f64 (sinh.f64 (log.f64 (sqrt.f64 z))) (sinh.f64 (log.f64 (sqrt.f64 z))))) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 z))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) (cosh.f64 (log.f64 (sqrt.f64 z))) (-.f64 (.f64 (sinh.f64 (log.f64 (sqrt.f64 z))) (sinh.f64 (log.f64 (sqrt.f64 z)))) (.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) (sinh.f64 (log.f64 (sqrt.f64 z)))))))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 z)))
(/.f64 z (sqrt.f64 z))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(fma.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) (.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (cosh.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64))) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sinh.f64 (*.f64 (log.f64 z) #s(literal 1/4 binary64)))))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
(+.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (cosh.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64)))) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sinh.f64 (.f64 (log.f64 z) #s(literal 1/4 binary64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) (sinh.f64 (log.f64 (sqrt.f64 z))))

eval91.0ms (1.4%)

Memory: 2.6MiB live, 144.6MiB allocated
Compiler: Compiled 15 365 to 2 507 computations (83.7% saved)

prune20.0ms (0.3%)

Memory

6.1MiB live, 51.5MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	605	4	609
Fresh	1	1	2
Picked	5	0	5
Done	1	4	5
Total	612	9	621

Accuracy

100.0%

Counts

621 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	89.2%	(.f64 #s(approx (+ ( (pow (pow z 1/4) 2) y) x) (fma.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) x x)) #s(literal 1/2 binary64))
	82.0%	(.f64 #s(approx (+ ( (pow (pow z 1/4) 2) y) x) (fma.f64 (*.f64 x y) (/.f64 (sqrt.f64 z) x) x)) #s(literal 1/2 binary64))
	81.7%	(.f64 #s(approx (+ ( (pow (pow z 1/4) 2) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	41.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 z y) (sqrt.f64 z))))
✓	47.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
	17.2%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 z y) y))))
✓	53.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 618 to 243 computations (60.7% saved)

regimes59.0ms (0.9%)

Memory

-8.0MiB live, 138.6MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	z
9.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
8.0ms	(*.f64 y (sqrt.f64 z))
7.0ms	(sqrt.f64 z)
7.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`(sqrt.f64 z)`
99.9%	1	`(*.f64 y (sqrt.f64 z))`
99.9%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes14.0ms (0.2%)

Memory

-9.0MiB live, 38.1MiB allocated

Counts

4 → 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))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(sqrt.f64 z)`
99.9%	1	`(*.f64 y (sqrt.f64 z))`
99.9%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes11.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB 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:

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

Results

Accuracy	Segments	Branch
67.7%	4	`(sqrt.f64 z)`
79.3%	3	`(*.f64 y (sqrt.f64 z))`
61.2%	3	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
61.2%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
74.6%	3	`x`
77.0%	3	`y`
67.7%	4	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes15.0ms (0.2%)

Memory

-20.4MiB live, 28.8MiB 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:

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

Results

Accuracy	Segments	Branch
53.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
53.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
53.8%	1	`(sqrt.f64 z)`
53.8%	1	`z`
53.8%	1	`x`
53.8%	1	`y`
53.8%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.770106156975657e+32	2.831908864560707e+58
0.0ms	-8.641696376476951e+84	-8.557013721981737e+84

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify32.0ms (0.5%)

Memory

-22.7MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	69
1	46	69
2	71	69
3	119	69
4	181	69
5	207	69
6	218	69
7	236	69
8	247	69
9	257	69
10	267	69

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -8599999999999999159579490433124977825476548976852470166640796665806131009806483324928 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 499999999999999972787615493521408 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 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -8599999999999999159579490433124977825476548976852470166640796665806131009806483324928 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 499999999999999972787615493521408 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 -8599999999999999159579490433124977825476548976852470166640796665806131009806483324928 binary64)) (not (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 499999999999999972787615493521408 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))

soundness583.0ms (8.9%)

Memory

32.7MiB live, 401.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 141 to 73 computations (48.2% saved)

preprocess37.0ms (0.6%)

Memory: 10.1MiB live, 54.9MiB allocated
Compiler: Compiled 170 to 78 computations (54.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	33	181
0	57	176
1	93	176
2	140	176
3	225	176
4	337	176
5	412	176
6	465	176
7	517	176
8	553	176
9	583	176
10	613	176
0	613	176

Iter	Nodes	Cost
0	28	69
1	46	69
2	71	69
3	119	69
4	181	69
5	207	69
6	218	69
7	236	69
8	247	69
9	257	69
10	267	69

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

Iter	Nodes	Cost
0	33	181
0	57	176
1	93	176
2	140	176
3	225	176
4	337	176
5	412	176
6	465	176
7	517	176
8	553	176
9	583	176
10	613	176
0	613	176

Iter	Nodes	Cost
0	28	69
1	46	69
2	71	69
3	119	69
4	181	69
5	207	69
6	218	69
7	236	69
8	247	69
9	257	69
10	267	69

start0.0ms (0%)

analyze50.0ms (0.8%)

sample1.4s (22.2%)

explain130.0ms (2%)

preprocess39.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.1%)

localize49.0ms (0.7%)

series8.0ms (0.1%)

simplify141.0ms (2.2%)

rewrite203.0ms (3.1%)

eval66.0ms (1%)

prune18.0ms (0.3%)

simplify22.0ms (0.3%)

localize70.0ms (1.1%)

series75.0ms (1.1%)

simplify367.0ms (5.6%)

rewrite137.0ms (2.1%)

eval46.0ms (0.7%)

prune16.0ms (0.2%)

simplify120.0ms (1.8%)

localize222.0ms (3.4%)

series148.0ms (2.3%)

simplify306.0ms (4.7%)

rewrite183.0ms (2.8%)

eval476.0ms (7.3%)

prune32.0ms (0.5%)

simplify196.0ms (3%)

localize639.0ms (9.8%)

series17.0ms (0.3%)

simplify138.0ms (2.1%)

rewrite283.0ms (4.3%)

eval91.0ms (1.4%)

prune20.0ms (0.3%)

regimes59.0ms (0.9%)

regimes14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes15.0ms (0.2%)

bsearch1.0ms (0%)

simplify32.0ms (0.5%)

soundness583.0ms (8.9%)

preprocess37.0ms (0.6%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	33	181
0	57	176
1	93	176
2	140	176
3	225	176
4	337	176
5	412	176
6	465	176
7	517	176
8	553	176
9	583	176
10	613	176
0	613	176

Iter	Nodes	Cost
0	28	69
1	46	69
2	71	69
3	119	69
4	181	69
5	207	69
6	218	69
7	236	69
8	247	69
9	257	69
10	267	69