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

start0.0ms (0%)

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

analyze76.0ms (1.5%)

Memory

21.1MiB live, 114.3MiB allocated; 6ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.5s (30.1%)

Memory

14.1MiB live, 2 027.4MiB allocated; 466ms collecting garbage

Samples

730.0ms	8 256×	0	valid
138.0ms	2 001×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 575.0ms

ival-div: 169.0ms (29.4% of total)

ival-mult: 162.0ms (28.2% of total)

ival-sqrt: 137.0ms (23.8% of total)

ival-add: 81.0ms (14.1% of total)

exact: 11.0ms (1.9% of total)

ival-true: 8.0ms (1.4% of total)

adjust: 4.0ms (0.7% of total)

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

Bogosity

explain139.0ms (2.8%)

Memory

24.4MiB live, 166.9MiB allocated; 17ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

58.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

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

ival-mult: 6.0ms (33.4% of total)

ival-div: 4.0ms (22.3% of total)

ival-sqrt: 4.0ms (22.3% of total)

ival-add: 3.0ms (16.7% of total)

exact: 1.0ms (5.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess42.0ms (0.8%)

Memory

1.1MiB live, 44.4MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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 (0.2%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize131.0ms (2.6%)

Memory

-59.1MiB live, 60.6MiB allocated; 140ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0078125	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.23046875	(*.f64 y (sqrt.f64 z))

Samples

23.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (54.2% of total)

ival-div: 2.0ms (15.5% of total)

ival-sqrt: 2.0ms (15.5% of total)

ival-add: 1.0ms (7.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

5 → 23

Calls

Call 1

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

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

Calls

9 calls:

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

simplify133.0ms (2.7%)

Memory

28.6MiB live, 171.0MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite261.0ms (5.2%)

Memory

-5.2MiB live, 324.2MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 387

Calls

Call 1

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

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

eval55.0ms (1.1%)

Memory: -19.3MiB live, 121.1MiB allocated; 22ms collecting garbage
Compiler: Compiled 13 680 to 1 346 computations (90.2% saved)

prune13.0ms (0.3%)

Memory

36.1MiB live, 36.1MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	385	12	397
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	386	12	398

Accuracy

100.0%

Counts

398 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
▶	51.3%	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
▶	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	24.0%	(.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)))))
	54.0%	(.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))
	46.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
	61.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
	89.1%	(.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)))))
▶	90.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
▶	92.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))))
	49.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	51.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 410 to 324 computations (21% saved)

simplify104.0ms (2.1%)

Memory

-10.2MiB live, 35.8MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	225
0	57	222
1	103	222
2	192	222
3	449	222
4	1084	222
5	2317	222
6	3080	222
7	3274	222
8	3445	222
9	3452	222
10	3452	222
11	3488	222
12	3508	222
13	3528	222
14	3528	222
0	3528	222

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize142.0ms (2.8%)

Memory

-2.5MiB live, 146.9MiB allocated; 38ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	0.23046875	(*.f64 (sqrt.f64 z) y)
accuracy	3.6406146786468865	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
accuracy	30.71083055885246	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0.23046875	(*.f64 (sqrt.f64 z) y)
accuracy	1.5264299121310423	(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	4.530390173470919	(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 z y)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
accuracy	0.13671875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	5.991874752848703	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	30.832066576573943	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.08984375	(fma.f64 (sqrt.f64 z) y x)

Samples

102.0ms

256×

valid

Compiler

Compiled 210 to 35 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 39.0ms (50.1% of total)

ival-mult: 23.0ms (29.6% of total)

ival-sqrt: 7.0ms (9% of total)

ival-add: 5.0ms (6.4% of total)

ival-sub: 2.0ms (2.6% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series99.0ms (2%)

Memory

-2.8MiB live, 89.4MiB allocated; 7ms collecting garbage

Counts

21 → 73

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* -1/2 (/ (* (sqrt z) y) x)) (- (* (sqrt z) y) x))
30.0ms	z	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* -1/2 (/ (* (sqrt z) y) x)) (- (* (sqrt z) y) x))
6.0ms	y	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* -1/2 (/ (* (sqrt z) y) x)) (- (* (sqrt z) y) x))
6.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* -1/2 (/ (* (sqrt z) y) x)) (- (* (sqrt z) y) x))
4.0ms	x	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (sqrt (/ 1 z)) (/ (* (sqrt z) y) x) (* (sqrt z) y) (* -1/2 (/ (* (sqrt z) y) x)) (- (* (sqrt z) y) x))

simplify124.0ms (2.5%)

Memory

17.8MiB live, 199.7MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	985
1	822	887
2	3283	831
0	8417	800

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 72

Calls

Call 1

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

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

rewrite303.0ms (6%)

Memory

-11.9MiB live, 275.7MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	185
0	57	163
1	185	161
2	1063	158
0	9998	158

Stop Event

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

Counts

21 → 1 110

Calls

Call 1

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

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

eval131.0ms (2.6%)

Memory: 4.2MiB live, 190.9MiB allocated; 41ms collecting garbage
Compiler: Compiled 27 370 to 2 716 computations (90.1% saved)

prune21.0ms (0.4%)

Memory

17.5MiB live, 64.9MiB allocated; 1ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	760	5	765
Fresh	7	0	7
Picked	2	3	5
Done	0	0	0
Total	769	8	777

Accuracy

100.0%

Counts

777 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.4%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	49.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
▶	90.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
✓	90.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
▶	89.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (sqrt.f64 z)) #s(literal 1/2 binary64))))
▶	39.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) #s(approx (- ( -1/2 (/ (* (sqrt z) y) x)) 1/2) (.f64 (.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1/2 binary64)) y))))
✓	51.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 245 to 202 computations (17.6% saved)

simplify115.0ms (2.3%)

Memory

-35.6MiB live, 59.8MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	281
0	65	277
1	118	275
2	224	275
3	401	275
4	763	275
5	1327	275
6	1829	275
7	2367	275
8	2617	275
9	2651	275
10	2725	275
11	2781	275
12	2793	275
13	2793	275
14	2793	275
15	2881	275
16	2985	275
0	2985	270

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (2.3%)

Memory

44.1MiB live, 281.2MiB allocated; 30ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (sqrt.f64 z)) #s(literal 1/2 binary64))))
accuracy	0.00390625	(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
accuracy	3.3661768581590508	(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (sqrt.f64 z))
accuracy	4.530390173470919	(.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (sqrt.f64 z)) #s(literal 1/2 binary64)))
accuracy	0.23046875	(/.f64 (sqrt.f64 z) x)
accuracy	3.7277020662338174	(.f64 (.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1/2 binary64)) y)
accuracy	4.530390173470919	(.f64 (neg.f64 x) #s(approx (- ( -1/2 (/ (* (sqrt z) y) x)) 1/2) (.f64 (.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1/2 binary64)) y)))
accuracy	31.921678406343506	#s(approx (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (.f64 (.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1/2 binary64)) y))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	5.991874752848703	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
accuracy	0.0	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.23046875	(*.f64 (sqrt.f64 z) y)
accuracy	32.03444588942723	#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.21484375	(/.f64 y (sqrt.f64 z))
accuracy	5.501258692054052	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)

Samples

83.0ms

256×

valid

Compiler

Compiled 216 to 39 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 29.0ms (57.3% of total)

ival-div: 10.0ms (19.8% of total)

ival-add: 4.0ms (7.9% of total)

ival-sub: 2.0ms (4% of total)

ival-sqrt: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory

-36.8MiB live, 56.1MiB allocated; 6ms collecting garbage

Counts

23 → 41

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	((* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* (* -1/2 (/ y x)) (sqrt z)) 1/2)) (- (* (* -1/2 (/ y x)) (sqrt z)) 1/2) (/ 1 (sqrt z)) (* (* (/ (sqrt z) x) -1/2) y) (/ (sqrt z) x) (* (* -1/2 (/ y x)) (sqrt z)) (* -1/2 (/ y x)))
4.0ms	x	@	inf	((* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* (* -1/2 (/ y x)) (sqrt z)) 1/2)) (- (* (* -1/2 (/ y x)) (sqrt z)) 1/2) (/ 1 (sqrt z)) (* (* (/ (sqrt z) x) -1/2) y) (/ (sqrt z) x) (* (* -1/2 (/ y x)) (sqrt z)) (* -1/2 (/ y x)))
3.0ms	y	@	-inf	((* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* (* -1/2 (/ y x)) (sqrt z)) 1/2)) (- (* (* -1/2 (/ y x)) (sqrt z)) 1/2) (/ 1 (sqrt z)) (* (* (/ (sqrt z) x) -1/2) y) (/ (sqrt z) x) (* (* -1/2 (/ y x)) (sqrt z)) (* -1/2 (/ y x)))
2.0ms	y	@	inf	((* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* (* -1/2 (/ y x)) (sqrt z)) 1/2)) (- (* (* -1/2 (/ y x)) (sqrt z)) 1/2) (/ 1 (sqrt z)) (* (* (/ (sqrt z) x) -1/2) y) (/ (sqrt z) x) (* (* -1/2 (/ y x)) (sqrt z)) (* -1/2 (/ y x)))
2.0ms	y	@	0	((* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2)) (neg x) (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (neg x) (- (* (* -1/2 (/ y x)) (sqrt z)) 1/2)) (- (* (* -1/2 (/ y x)) (sqrt z)) 1/2) (/ 1 (sqrt z)) (* (* (/ (sqrt z) x) -1/2) y) (/ (sqrt z) x) (* (* -1/2 (/ y x)) (sqrt z)) (* -1/2 (/ y x)))

simplify108.0ms (2.1%)

Memory

13.0MiB live, 150.0MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	305
1	419	301
2	1559	297
3	3772	285
4	6580	285
0	8550	262

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

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

rewrite181.0ms (3.6%)

Memory

24.6MiB live, 205.8MiB allocated; 84ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	241
0	65	237
1	202	234
2	1179	229
0	9194	219

Stop Event

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

Counts

23 → 456

Calls

Call 1

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

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

eval54.0ms (1.1%)

Memory: -3.9MiB live, 98.0MiB allocated; 24ms collecting garbage
Compiler: Compiled 10 229 to 1 356 computations (86.7% saved)

prune10.0ms (0.2%)

Memory

-19.9MiB live, 26.6MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	374	3	377
Fresh	0	0	0
Picked	3	2	5
Done	1	2	3
Total	378	7	385

Accuracy

100.0%

Counts

385 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.4%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	41.4%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 z y) (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	42.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	49.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
▶	39.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) #s(approx (- ( -1/2 (/ (* (sqrt z) y) x)) 1/2) (.f64 (/.f64 y x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))))
✓	51.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 106 to 88 computations (17% saved)

simplify19.0ms (0.4%)

Memory

31.1MiB live, 31.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	180
0	46	180
1	83	180
2	130	180
3	201	180
4	287	180
5	430	180
6	574	180
7	629	180
8	645	180
9	655	180
10	665	180
0	665	175

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (1.5%)

Memory

-25.3MiB live, 115.2MiB allocated; 20ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.0	(sqrt.f64 z)
accuracy	8.652106163661065	(/.f64 (*.f64 z y) (sqrt.f64 z))
accuracy	32.03444588942723	#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 z y) (sqrt.f64 z)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.21484375	(/.f64 y (sqrt.f64 z))
accuracy	8.572806009527055	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	32.03444588942723	#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z))
accuracy	0.0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) #s(approx (- ( -1/2 (/ (* (sqrt z) y) x)) 1/2) (.f64 (/.f64 y x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))))
accuracy	3.3491248754321967	(.f64 (/.f64 y x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))
accuracy	4.530390173470919	(.f64 (neg.f64 x) #s(approx (- ( -1/2 (/ (* (sqrt z) y) x)) 1/2) (.f64 (/.f64 y x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))))
accuracy	31.921678406343506	#s(approx (- (* -1/2 (/ (* (sqrt z) y) x)) 1/2) (.f64 (/.f64 y x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))

Samples

50.0ms

256×

valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 15.0ms (47.2% of total)

ival-div: 9.0ms (28.3% of total)

ival-add: 3.0ms (9.4% of total)

ival-sqrt: 2.0ms (6.3% of total)

ival-sub: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory

40.5MiB live, 40.5MiB allocated; 0ms collecting garbage

Counts

14 → 35

Calls

Call 1

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

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

Calls

9 calls:

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

simplify105.0ms (2.1%)

Memory

10.2MiB live, 99.4MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	258
1	372	258
2	1362	254
3	3410	246
4	6154	246
0	8169	225

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

Calls

Call 1

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

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

rewrite327.0ms (6.5%)

Memory

-12.1MiB live, 287.2MiB allocated; 169ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	159
0	46	159
1	134	159
2	591	159
3	5621	147
0	8307	142

Stop Event

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

Counts

14 → 111

Calls

Call 1

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

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

eval27.0ms (0.5%)

Memory: -2.2MiB live, 43.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 3 714 to 643 computations (82.7% saved)

prune14.0ms (0.3%)

Memory

-22.1MiB live, 23.7MiB allocated; 8ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	151	7	158

Accuracy

100.0%

Counts

158 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.4%	(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	41.4%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 z y) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	42.0%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	49.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
✓	39.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (neg.f64 x) #s(approx (- ( -1/2 (/ (* (sqrt z) y) x)) 1/2) (.f64 (/.f64 y x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))))
✓	51.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 485 to 199 computations (59% saved)

regimes51.0ms (1%)

Memory

10.2MiB live, 114.0MiB allocated; 21ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	(*.f64 y (sqrt.f64 z))
11.0ms	x
6.0ms	(sqrt.f64 z)
6.0ms	z
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (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)

regimes15.0ms (0.3%)

Memory

-5.9MiB live, 40.5MiB allocated; 4ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

4.0ms	x
2.0ms	(.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	(*.f64 y (sqrt.f64 z))
2.0ms	z

Results

Accuracy	Segments	Branch
66.7%	4	`(sqrt.f64 z)`
78.0%	3	`(*.f64 y (sqrt.f64 z))`
60.6%	3	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
60.6%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
78.4%	3	`x`
76.0%	3	`y`
66.7%	4	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes24.0ms (0.5%)

Memory

-20.5MiB live, 26.5MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

17.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	x
1.0ms	(sqrt.f64 z)
1.0ms	y

Results

Accuracy	Segments	Branch
51.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
51.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
51.8%	1	`(sqrt.f64 z)`
51.8%	1	`z`
51.8%	1	`y`
51.8%	1	`(*.f64 y (sqrt.f64 z))`
51.8%	1	`x`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch53.0ms (1.1%)

Memory

14.6MiB live, 60.5MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	9.060517759488939e-37	1.0087580607413261e-30
12.0ms	-1.1084130624629094e-47	-8.510180661171691e-50

Samples

39.0ms

256×

valid

Compiler

Compiled 509 to 496 computations (2.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sqrt: 25.0ms (78.1% of total)

ival-mult: 3.0ms (9.4% of total)

ival-div: 2.0ms (6.2% of total)

ival-add: 1.0ms (3.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify21.0ms (0.4%)

Memory

-18.4MiB live, 30.8MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -2468256835981809/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 321130730858841/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))

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

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -2468256835981809/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 321130730858841/356811923176489970264571492362373784095686656 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))
(if (or (<=.f64 x #s(literal -2468256835981809/411376139330301510538742295639337626245683966408394965837152256 binary64)) (not (<=.f64 x #s(literal 321130730858841/356811923176489970264571492362373784095686656 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))

derivations278.0ms (5.6%)

Memory

17.4MiB live, 344.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 61 to 26 computations (57.4% saved)

preprocess69.0ms (1.4%)

Memory: -16.1MiB live, 94.0MiB allocated; 26ms collecting garbage
Compiler: Compiled 142 to 72 computations (49.3% saved)

end0.0ms (0%)

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

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

Iter	Nodes	Cost
0	33	180
0	46	180
1	83	180
2	130	180
3	201	180
4	287	180
5	430	180
6	574	180
7	629	180
8	645	180
9	655	180
10	665	180
0	665	175

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

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

Iter	Nodes	Cost
0	33	180
0	46	180
1	83	180
2	130	180
3	201	180
4	287	180
5	430	180
6	574	180
7	629	180
8	645	180
9	655	180
10	665	180
0	665	175

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

start0.0ms (0%)

analyze76.0ms (1.5%)

sample1.5s (30.1%)

explain139.0ms (2.8%)

preprocess42.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

localize131.0ms (2.6%)

series8.0ms (0.2%)

simplify133.0ms (2.7%)

rewrite261.0ms (5.2%)

eval55.0ms (1.1%)

prune13.0ms (0.3%)

simplify104.0ms (2.1%)

localize142.0ms (2.8%)

series99.0ms (2%)

simplify124.0ms (2.5%)

rewrite303.0ms (6%)

eval131.0ms (2.6%)

prune21.0ms (0.4%)

simplify115.0ms (2.3%)

localize117.0ms (2.3%)

series27.0ms (0.5%)

simplify108.0ms (2.1%)

rewrite181.0ms (3.6%)

eval54.0ms (1.1%)

prune10.0ms (0.2%)

simplify19.0ms (0.4%)

localize73.0ms (1.5%)

series21.0ms (0.4%)

simplify105.0ms (2.1%)

rewrite327.0ms (6.5%)

eval27.0ms (0.5%)

prune14.0ms (0.3%)

regimes51.0ms (1%)

regimes15.0ms (0.3%)

regimes24.0ms (0.5%)

bsearch53.0ms (1.1%)

simplify21.0ms (0.4%)

derivations278.0ms (5.6%)

preprocess69.0ms (1.4%)

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	180
0	46	180
1	83	180
2	130	180
3	201	180
4	287	180
5	430	180
6	574	180
7	629	180
8	645	180
9	655	180
10	665	180
0	665	175

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