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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze52.0ms (1%)

Memory

15.6MiB live, 85.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.1s (21.7%)

Memory

24.2MiB live, 1 050.5MiB allocated

Samples

561.0ms	8 256×	0	valid
122.0ms	2 027×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 438.0ms

ival-sqrt: 153.0ms (34.9% of total)

ival-mult: 133.0ms (30.4% of total)

ival-div: 80.0ms (18.3% of total)

ival-add: 52.0ms (11.9% of total)

exact: 9.0ms (2.1% of total)

ival-true: 7.0ms (1.6% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain160.0ms (3.2%)

Memory

-8.3MiB live, 232.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

81.0ms

512×

valid

Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 8.0ms (36.6% of total)

ival-div: 5.0ms (22.9% of total)

ival-sqrt: 5.0ms (22.9% of total)

ival-add: 3.0ms (13.7% of total)

exact: 1.0ms (4.6% of total)

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

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

preprocess39.0ms (0.8%)

Memory

-2.4MiB live, 58.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 10 computations (0% saved)

simplify9.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

-8.5MiB live, 26.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.265625	(*.f64 y (sqrt.f64 z))

Samples

21.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (66.6% of total)

ival-div: 2.0ms (14.8% of total)

ival-sqrt: 2.0ms (14.8% of total)

ival-add: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

5 → 23

Calls

Call 1

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

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

Calls

9 calls:

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

simplify153.0ms (3.1%)

Memory

8.3MiB live, 65.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite247.0ms (5%)

Memory

-26.7MiB live, 195.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 387

Calls

Call 1

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

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

eval49.0ms (1%)

Memory: 22.7MiB live, 80.9MiB allocated
Compiler: Compiled 13 680 to 1 346 computations (90.2% saved)

prune41.0ms (0.8%)

Memory

-2.4MiB live, 38.6MiB allocated

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)))
▶	55.7%	(/.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))
▶	99.7%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	47.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
	29.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 z (/.f64 (.f64 y y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
▶	66.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
	87.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	92.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	49.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 372 to 302 computations (18.8% saved)

simplify70.0ms (1.4%)

Memory

2.2MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	160
0	52	157
1	93	157
2	155	157
3	330	157
4	783	157
5	1745	157
6	2438	157
7	2628	157
8	2663	157
9	2693	157
10	2693	157
11	2693	157
0	2693	157

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize76.0ms (1.5%)

Memory

-2.3MiB live, 148.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	0.265625	(*.f64 (sqrt.f64 z) y)
accuracy	2.367173050307298	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
accuracy	27.912548462623025	(/.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	0.0	(*.f64 z y)
accuracy	0.00390625	(+.f64 x (sqrt.f64 (.f64 (.f64 z y) y)))
accuracy	0.125	(.f64 (.f64 z y) y)
accuracy	19.36328125945863	(sqrt.f64 (.f64 (.f64 z y) y))
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.16015625	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	30.415310975482026	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.00390625	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.265625	(*.f64 y (sqrt.f64 z))

Samples

55.0ms

256×

valid

Compiler

Compiled 169 to 29 computations (82.8% saved)

Precisions

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

ival-mult: 16.0ms (46.8% of total)

ival-div: 7.0ms (20.5% of total)

ival-add: 4.0ms (11.7% of total)

ival-sqrt: 4.0ms (11.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory

14.9MiB live, 45.3MiB allocated

Counts

19 → 59

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (/ (* (+ (* (* 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)) (* z y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x))
5.0ms	y	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (/ (* (+ (* (* 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)) (* z y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x))
3.0ms	x	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (/ (* (+ (* (* 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)) (* z y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x))
3.0ms	z	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (/ (* (+ (* (* 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)) (* z y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x))
2.0ms	y	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (/ (* (+ (* (* 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)) (* z y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x))

simplify121.0ms (2.4%)

Memory

-1.4MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	836
1	702	755
2	2755	707
0	8038	680

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

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

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

rewrite761.0ms (15.3%)

Memory

-29.6MiB live, 269.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	128
0	52	106
1	155	106
2	885	106
0	9502	106

Stop Event

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

Counts

19 → 1 577

Calls

Call 1

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

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

eval98.0ms (2%)

Memory: -2.5MiB live, 121.1MiB allocated
Compiler: Compiled 26 099 to 2 624 computations (89.9% saved)

prune18.0ms (0.4%)

Memory

12.7MiB live, 44.2MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	776	7	783
Fresh	5	2	7
Picked	1	4	5
Done	0	0	0
Total	782	13	795

Accuracy

100.0%

Counts

795 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(/.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))
	25.7%	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
▶	99.6%	(*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) y x) #s(literal 1/2 binary64))
✓	99.7%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	29.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 z (/.f64 (.f64 y y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
▶	87.6%	(.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)))))
▶	47.4%	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	66.1%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	92.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
	88.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
▶	49.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 353 to 275 computations (22.1% saved)

simplify40.0ms (0.8%)

Memory

-4.8MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	238
0	66	244
1	102	234
2	183	223
3	350	223
4	758	223
5	1325	223
6	1476	223
7	1504	223
8	1527	223
9	1547	223
10	1557	223
0	1557	223

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (1.7%)

Memory

16.9MiB live, 111.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64))))
accuracy	0.10546875	(/.f64 (sqrt.f64 z) x)
accuracy	1.29356827945721	(*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y))
accuracy	3.1021881615627196	(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 1 binary64)))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x))
accuracy	0.05859375	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	2.391833072767076	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.08203125	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
accuracy	6.654346454046831	(sqrt.f64 (*.f64 z y))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.13671875	(*.f64 (sqrt.f64 z) y)
accuracy	17.59297141593766	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(pow.f64 z #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 (fma.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) y x) #s(literal 1/2 binary64))
accuracy	0.0625	(fma.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) y x)
accuracy	0.2802925293053261	(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))

Samples

33.0ms	125×	0	invalid
32.0ms	131×	0	valid

Compiler

Compiled 193 to 37 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 17.0ms (37.2% of total)

ival-div: 6.0ms (13.1% of total)

ival-sqrt: 6.0ms (13.1% of total)

ival-pow: 6.0ms (13.1% of total)

ival-add: 4.0ms (8.7% of total)

ival-pow2: 3.0ms (6.6% of total)

ival-neg: 2.0ms (4.4% of total)

ival-sub: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series101.0ms (2%)

Memory

-19.0MiB live, 53.2MiB allocated

Counts

23 → 40

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	x	@	inf	((pow (pow z 1/4) 2) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (pow z 1/4) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (/ 1 2) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x))
31.0ms	z	@	0	((pow (pow z 1/4) 2) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (pow z 1/4) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (/ 1 2) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x))
15.0ms	z	@	-inf	((pow (pow z 1/4) 2) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (pow z 1/4) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (/ 1 2) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x))
12.0ms	z	@	inf	((pow (pow z 1/4) 2) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (pow z 1/4) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (/ 1 2) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x))
3.0ms	y	@	-inf	((pow (pow z 1/4) 2) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (pow z 1/4) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (/ 1 2) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (neg x) (- (* (/ (sqrt z) x) (neg y)) 1)) (sqrt y) (* (/ (sqrt z) x) (neg y)) (/ (sqrt z) x))

simplify97.0ms (2%)

Memory

-9.5MiB live, 50.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	280
1	389	263
2	1537	258
3	3624	246
4	6143	246
0	8035	231

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

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

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

rewrite130.0ms (2.6%)

Memory

26.6MiB live, 87.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	194
0	66	169
1	196	166
2	1029	160
0	9606	160

Stop Event

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

Counts

23 → 787

Calls

Call 1

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

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

eval60.0ms (1.2%)

Memory: 5.1MiB live, 65.3MiB allocated
Compiler: Compiled 11 197 to 1 919 computations (82.9% saved)

prune25.0ms (0.5%)

Memory

-6.0MiB live, 29.7MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	521	5	526
Fresh	3	1	4
Picked	4	1	5
Done	1	3	4
Total	529	10	539

Accuracy

100.0%

Counts

539 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
✓	99.7%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	29.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 z (/.f64 (.f64 y y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
▶	87.6%	(.f64 #s(approx (+ ( (pow (pow z 1/4) 2) y) x) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	92.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x)))
▶	43.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
✓	49.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	18.1%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 y z) y))))
✓	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 256 to 201 computations (21.5% saved)

simplify289.0ms (5.8%)

Memory

-6.7MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	259
0	62	257
1	99	249
2	175	247
3	380	247
4	1111	247
5	3350	247
6	4698	247
7	5240	247
8	5691	247
9	5708	247
10	5710	247
11	5783	247
12	5814	247
13	5837	247
14	5961	247
15	6065	247
16	6245	247
17	6269	247
18	6281	247
19	6281	247
20	6551	247
21	6745	247
22	6750	247
23	6750	247
24	6750	247
25	7054	247
0	8163	239

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.8%)

Memory

2.6MiB live, 63.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (* (pow (pow z 1/4) 2) y) x) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64))))
accuracy	0.1875	(/.f64 (sqrt.f64 z) x)
accuracy	3.001642565909905	(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))
accuracy	6.218168901467943	(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x))
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
accuracy	4.502817862389219	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	7.078435796317767	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	32.4626073247736	#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 y z) y))))
accuracy	0.125	(.f64 (.f64 y z) y)
accuracy	19.36328125945863	(sqrt.f64 (.f64 (.f64 y z) y))
accuracy	48.22844446696199	#s(approx (+ x (* y (sqrt z))) (sqrt.f64 (.f64 (.f64 y z) y)))
accuracy	0.0	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.16015625	(fma.f64 (/.f64 z (sqrt.f64 z)) y x)
accuracy	0.55078125	(/.f64 z (sqrt.f64 z))

Samples

69.0ms

256×

valid

Compiler

Compiled 190 to 35 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 17.0ms (33.7% of total)

ival-add: 11.0ms (21.8% of total)

ival-div: 6.0ms (11.9% of total)

ival-pow: 6.0ms (11.9% of total)

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

ival-pow2: 3.0ms (5.9% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.7%)

Memory

-11.5MiB live, 22.6MiB allocated

Counts

22 → 34

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	z	@	inf	((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y z) y)) (* (* y z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (+ (* (/ 1 (sqrt z)) (* z y)) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ 1 (sqrt z)) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (* (neg x) (- (* (neg y) (/ (sqrt z) x)) 1)) (neg x) (* (neg y) (/ (sqrt z) x)) (/ (sqrt z) x))
5.0ms	z	@	-inf	((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y z) y)) (* (* y z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (+ (* (/ 1 (sqrt z)) (* z y)) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ 1 (sqrt z)) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (* (neg x) (- (* (neg y) (/ (sqrt z) x)) 1)) (neg x) (* (neg y) (/ (sqrt z) x)) (/ (sqrt z) x))
2.0ms	z	@	0	((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y z) y)) (* (* y z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (+ (* (/ 1 (sqrt z)) (* z y)) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ 1 (sqrt z)) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (* (neg x) (- (* (neg y) (/ (sqrt z) x)) 1)) (neg x) (* (neg y) (/ (sqrt z) x)) (/ (sqrt z) x))
2.0ms	y	@	-inf	((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y z) y)) (* (* y z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (+ (* (/ 1 (sqrt z)) (* z y)) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ 1 (sqrt z)) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (* (neg x) (- (* (neg y) (/ (sqrt z) x)) 1)) (neg x) (* (neg y) (/ (sqrt z) x)) (/ (sqrt z) x))
2.0ms	y	@	inf	((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (sqrt (* (* y z) y)) (* (* y z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (+ (* (/ 1 (sqrt z)) (* z y)) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ 1 (sqrt z)) (* (+ (* (pow (pow z 1/4) 2) y) x) 1/2) (+ (* (pow (pow z 1/4) 2) y) x) (* (neg x) (- (* (neg y) (/ (sqrt z) x)) 1)) (neg x) (* (neg y) (/ (sqrt z) x)) (/ (sqrt z) x))

simplify156.0ms (3.1%)

Memory

26.4MiB live, 84.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	240
1	339	236
2	1193	236
3	3622	224
4	6405	224
0	8479	209

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

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

rewrite153.0ms (3.1%)

Memory

-7.2MiB live, 86.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	216
0	62	206
1	190	201
2	1036	174
0	9487	174

Stop Event

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

Counts

22 → 637

Calls

Call 1

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

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

eval81.0ms (1.6%)

Memory: -16.4MiB live, 79.7MiB allocated
Compiler: Compiled 12 969 to 2 253 computations (82.6% saved)

prune18.0ms (0.4%)

Memory

2.2MiB live, 33.7MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	574	3	577
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	574	13	587

Accuracy

100.0%

Counts

587 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64))
✓	99.7%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	94.2%	(*.f64 (fma.f64 z (/.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
	29.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 z (/.f64 (.f64 y y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
✓	87.6%	(.f64 #s(approx (+ ( (pow (pow z 1/4) 2) y) x) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	92.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 z y) x)))
✓	43.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
✓	49.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
	43.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 z (/.f64 y (sqrt.f64 z)))))
✓	18.1%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 y z) y))))
	15.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 y y) z))))
✓	52.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 608 to 278 computations (54.3% saved)

regimes50.0ms (1%)

Memory

11.7MiB live, 42.5MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes13.0ms (0.3%)

Memory

-15.4MiB live, 15.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`(sqrt.f64 z)`
99.7%	1	`(*.f64 y (sqrt.f64 z))`
99.7%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes11.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Results

Accuracy	Segments	Branch
66.7%	4	`(sqrt.f64 z)`
77.5%	3	`(*.f64 y (sqrt.f64 z))`
61.8%	5	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
61.8%	5	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
79.3%	3	`x`
76.5%	3	`y`
66.7%	4	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
52.5%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
52.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
52.5%	1	`(sqrt.f64 z)`
52.5%	1	`z`
52.5%	1	`y`
52.5%	1	`(*.f64 y (sqrt.f64 z))`
52.5%	1	`x`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch26.0ms (0.5%)

Memory

-18.6MiB live, 16.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.854747225422223e+25	5.341888102222647e+25
16.0ms	-6.206605951375947e+34	-2215539117725965000.0

Samples

13.0ms

240×

valid

Compiler

Compiled 478 to 466 computations (2.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (40% of total)

ival-div: 2.0ms (26.7% of total)

ival-sqrt: 2.0ms (26.7% of total)

ival-add: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.3%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	63
1	46	63
2	71	63
3	119	63
4	181	63
5	207	63
6	218	63
7	236	63
8	247	63
9	257	63
10	267	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -3400000000000000050331648 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 19000000000000000218103808 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 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -3400000000000000050331648 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 19000000000000000218103808 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 -3400000000000000050331648 binary64)) (not (<=.f64 x #s(literal 19000000000000000218103808 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))

soundness443.0ms (8.9%)

Memory

-9.4MiB live, 113.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 135 to 73 computations (45.9% saved)

preprocess25.0ms (0.5%)

Memory: -4.5MiB live, 25.9MiB allocated
Compiler: Compiled 158 to 78 computations (50.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	28	63
1	46	63
2	71	63
3	119	63
4	181	63
5	207	63
6	218	63
7	236	63
8	247	63
9	257	63
10	267	63

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	28	63
1	46	63
2	71	63
3	119	63
4	181	63
5	207	63
6	218	63
7	236	63
8	247	63
9	257	63
10	267	63

start0.0ms (0%)

analyze52.0ms (1%)

sample1.1s (21.7%)

explain160.0ms (3.2%)

preprocess39.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

localize27.0ms (0.5%)

series7.0ms (0.1%)

simplify153.0ms (3.1%)

rewrite247.0ms (5%)

eval49.0ms (1%)

prune41.0ms (0.8%)

simplify70.0ms (1.4%)

localize76.0ms (1.5%)

series27.0ms (0.5%)

simplify121.0ms (2.4%)

rewrite761.0ms (15.3%)

eval98.0ms (2%)

prune18.0ms (0.4%)

simplify40.0ms (0.8%)

localize87.0ms (1.7%)

series101.0ms (2%)

simplify97.0ms (2%)

rewrite130.0ms (2.6%)

eval60.0ms (1.2%)

prune25.0ms (0.5%)

simplify289.0ms (5.8%)

localize89.0ms (1.8%)

series33.0ms (0.7%)

simplify156.0ms (3.1%)

rewrite153.0ms (3.1%)

eval81.0ms (1.6%)

prune18.0ms (0.4%)

regimes50.0ms (1%)

regimes13.0ms (0.3%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch26.0ms (0.5%)

simplify15.0ms (0.3%)

soundness443.0ms (8.9%)

preprocess25.0ms (0.5%)

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	28	63
1	46	63
2	71	63
3	119	63
4	181	63
5	207	63
6	218	63
7	236	63
8	247	63
9	257	63
10	267	63