Metrics for Numeric.SpecFunctions:invErfc from math-functions-0.1.5.2, A

analyze115.0ms (0.9%)

Memory

31.2MiB live, 220.5MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	4
31.3%	31.2%	68.6%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
53.1%	53%	46.8%	0.1%	0%	0%	0%	7
59.4%	59.3%	40.6%	0.1%	0%	0%	0%	8
68%	67.9%	32%	0.1%	0%	0%	0%	9
73.6%	73.5%	26.3%	0.1%	0%	0%	0%	10
78.2%	78.1%	21.7%	0.1%	0%	0%	0%	11
83.3%	83.1%	16.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.1s (8.8%)

Memory

10.7MiB live, 1 587.2MiB allocated

Samples

746.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 536.0ms

const: 140.0ms (26.1% of total)

ival-exp: 128.0ms (23.9% of total)

ival-mult: 112.0ms (20.9% of total)

ival-div: 58.0ms (10.8% of total)

ival-sub: 45.0ms (8.4% of total)

ival-add: 43.0ms (8% of total)

ival-true: 7.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess145.0ms (1.1%)

Memory

19.8MiB live, 56.6MiB allocated

Algorithm

1×	egg-herbie

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
256×	`distribute-lft-neg-in`
240×	`sub-neg`
214×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	115
1	107	109
2	203	109
3	452	108
4	842	108
5	1460	108
6	1986	108
7	2307	108
8	2374	108
9	2397	108
10	2403	108
11	2403	108
0	10	12
0	16	12
1	24	12
2	36	12
3	48	12
4	71	12
5	101	12
6	160	12
7	228	12
8	321	12
9	429	12
10	592	12
11	605	12
12	620	12
13	667	12
0	667	11

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))

Outputs

(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))

(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))

explain344.0ms (2.7%)

Memory

-43.6MiB live, 225.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
31	-	-	`(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))`
10	-	-	`(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))`
0	-	-	`#s(literal 5641895835477563/5000000000000000 binary64)`
0	-	-	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
0	-	-	`y`
0	-	-	`x`
0	-	-	`(exp.f64 z)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))`	n/u	11	0
↳	`(exp.f64 z)`	underflow	64
↳	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`	underflow	64
↳	`(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))`	underflow	11
↳	`(*.f64 x y)`	underflow	34
`-.f64`	`(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))`	nan-rescue	10	0
↳	`(exp.f64 z)`	overflow	83
↳	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`	overflow	83
↳	`(*.f64 x y)`	overflow	33

Confusion

	Predicted +	Predicted -
+	21	0
-	0	235

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	21	0	0
-	0	0	235

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	235
1	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

123.0ms

512×

valid

Compiler

Compiled 120 to 44 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-add: 22.0ms (45.7% of total)

const: 8.0ms (16.6% of total)

ival-mult: 7.0ms (14.6% of total)

ival-div: 4.0ms (8.3% of total)

ival-exp: 4.0ms (8.3% of total)

ival-sub: 2.0ms (4.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.7%	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify62.0ms (0.5%)

Memory

-0.8MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
✓	cost-diff	0	(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))
✓	cost-diff	128	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
192×	`lower-*.f32`
188×	`lower-*.f64`
88×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
0	16	43
1	24	43
2	36	43
3	48	43
4	71	43
5	101	43
6	160	43
7	228	43
8	321	43
9	429	43
10	592	43
11	605	43
12	620	43
13	667	43
0	667	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
x
(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))
y
(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 x y)

Outputs
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
x
(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))
(neg.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
y
(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
#s(literal 5641895835477563/5000000000000000 binary64)
(exp.f64 z)
z
(*.f64 x y)

localize72.0ms (0.6%)

Memory

12.9MiB live, 51.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 z)
✓	accuracy	100.0%	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓	accuracy	96.9%	(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
✓	accuracy	88.4%	(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))

Samples

62.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

const: 44.0ms (82.4% of total)

ival-mult: 3.0ms (5.6% of total)

ival-div: 2.0ms (3.7% of total)

ival-exp: 2.0ms (3.7% of total)

ival-sub: 1.0ms (1.9% of total)

ival-add: 1.0ms (1.9% of total)

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

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

series13.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#<alt (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))>
#<alt (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))>
#<alt (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))>
#<alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))>
#<alt (exp.f64 z)>

Outputs
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (/ -1 x)>
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* x y)))>
#<alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)>
#<alt (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)>
#<alt (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))>
#<alt (- 5641895835477563/5000000000000000 (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 (* z (+ 1 (* 1/2 z))))>
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms	y	@	inf	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms	z	@	0	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms	x	@	0	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms	z	@	-inf	(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))

rewrite786.0ms (6.2%)

Memory

-22.5MiB live, 449.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 764×	`lower-fma.f64`
5 764×	`lower-fma.f32`
4 434×	`lower-*.f32`
4 430×	`lower-*.f64`
3 236×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	16	36
1	57	36
2	451	36
3	7444	36
0	8118	35

Stop Event

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

Counts

5 → 271

Calls

Call 1

Inputs
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
(/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))
(-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(exp.f64 z)

Outputs
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y y) (pow.f64 (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)))
(fma.f64 x #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (neg.f64 y) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 x (/.f64 y (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))))
(fma.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (.f64 x (.f64 x (*.f64 y y)))))))) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (.f64 x (.f64 x (.f64 y y)))))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (neg.f64 y) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))) (fma.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))) (.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (.f64 x (.f64 x (.f64 y y)))))) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (.f64 x (.f64 x (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (.f64 x (.f64 x (.f64 y y)))))) (.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))) (.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (.f64 x (.f64 x (.f64 y y)))))) (.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 (pow.f64 (/.f64 (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (neg.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x y (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (neg.f64 y)) #s(literal -1/2 binary64)) x)
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (.f64 x (.f64 x (.f64 y y))))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))))) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (.f64 x (.f64 x (.f64 y y)))))) (fma.f64 x (neg.f64 y) (.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) x)
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(.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (.f64 x (.f64 x (.f64 y y))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (.f64 z #s(literal 3 binary64))) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(exp.f64 z)

simplify741.0ms (5.8%)

Memory

-9.8MiB live, 475.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 782×	`lower-fma.f64`
8 782×	`lower-fma.f32`
5 312×	`lower-*.f64`
5 312×	`lower-*.f32`
2 906×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	1999
1	904	1979
2	2644	1891
0	8336	1801

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 129

Calls

Call 1

Inputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(/ y (- 5641895835477563/5000000000000000 (* x y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(- 5641895835477563/5000000000000000 (* x y))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(* -1 (* x y))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(* -1 (* x y))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)

Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (.f64 y x)) (exp.f64 (+.f64 z z)))) x)
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (.f64 y (exp.f64 (neg.f64 z))) (fma.f64 x (fma.f64 (.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (/.f64 (.f64 y (.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (.f64 (.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) x))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (.f64 y (.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(fma.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x (.f64 y (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x (.f64 y (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x)
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(fma.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x (.f64 y (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (.f64 (exp.f64 (+.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 y (.f64 y x)))) (.f64 x (.f64 x x)))) (neg.f64 x) x)
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (.f64 y x)) (exp.f64 (+.f64 z z)))) x)
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (.f64 y (.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))) x)
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(+.f64 x (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)) #s(literal -1 binary64))) x))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(+.f64 x (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 y y) (.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) x)))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 x (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)) #s(literal -1 binary64))) x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(-.f64 x (-.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (pow.f64 x #s(literal 4 binary64)))))) (.f64 y (neg.f64 y))) (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)) #s(literal -1 binary64)) x)))
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(/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)) #s(literal -1 binary64))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/.f64 (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x (.f64 y (.f64 x x)))))) (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y x)) #s(literal -1 binary64))) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (.f64 x (.f64 y (.f64 y (.f64 y x))))) (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (.f64 (exp.f64 (+.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 y (*.f64 y x))))) x)) x))
(- 5641895835477563/5000000000000000 (* x y))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))
(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))
(fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(.f64 x (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(.f64 x (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
(.f64 x (-.f64 (/.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) (neg.f64 x))
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))
(*.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y) (neg.f64 x))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
(.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) x))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* 1/2 z))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)

eval49.0ms (0.4%)

Memory: 28.0MiB live, 105.2MiB allocated
Compiler: Compiled 13 617 to 1 139 computations (91.6% saved)

prune59.0ms (0.5%)

Memory

-25.0MiB live, 138.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	390	10	400
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	391	10	401

Accuracy

100.0%

Counts

401 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
▶	74.4%	(+.f64 x (fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
	80.2%	(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
▶	83.8%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
▶	80.4%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
	79.8%	(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶	64.7%	(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
	58.9%	(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
▶	68.8%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
	14.3%	(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))

Compiler

Compiled 292 to 180 computations (38.4% saved)

simplify268.0ms (2.1%)

Memory

9.3MiB live, 362.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))
✓	cost-diff	128	(+.f64 x (fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
✓	cost-diff	256	(.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓	cost-diff	832	(fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
✓	cost-diff	128	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
✓	cost-diff	0	(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
✓	cost-diff	448	(/.f64 y (*.f64 y (neg.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))
✓	cost-diff	128	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))

Rules

6 784×	`lower-fma.f32`
6 772×	`lower-fma.f64`
2 638×	`lower-*.f32`
2 630×	`lower-*.f64`
1 230×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	228
0	57	222
1	109	222
2	203	222
3	379	212
4	752	212
5	1766	212
6	3823	212
7	6473	212
8	7401	212
0	8085	199

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))
y
(fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(neg.f64 x)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
x
(/.f64 y (*.f64 y (neg.f64 x)))
y
(*.f64 y (neg.f64 x))
(neg.f64 x)
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
y
(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(neg.f64 x)
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
x
(fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
y
(/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
z
#s(literal -5641895835477563/5000000000000000 binary64)
(.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y x)
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))

Outputs
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
y
(fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
(neg.f64 x)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
(/.f64 y (*.f64 y (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
y
(*.f64 y (neg.f64 x))
(neg.f64 x)
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(-.f64 x (/.f64 y (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
y
(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))
(neg.f64 x)
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
z
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(fma.f64 (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 z (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)) x)
x
(fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 (*.f64 y (fma.f64 z (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64))) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
y
(/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))
(/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y (.f64 x (fma.f64 x y #s(literal -5641895835477563/2500000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
z
#s(literal -5641895835477563/5000000000000000 binary64)
(.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(fma.f64 y (*.f64 x (fma.f64 x y #s(literal -5641895835477563/2500000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y x)
(*.f64 x y)
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))

localize133.0ms (1%)

Memory

8.1MiB live, 253.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
✓	accuracy	99.1%	(.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓	accuracy	94.5%	(/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))
✓	accuracy	87.6%	(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	99.8%	(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	87.7%	(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
✓	accuracy	100.0%	(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
✓	accuracy	100.0%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	74.6%	(/.f64 y (*.f64 y (neg.f64 x)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.9%	(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	99.8%	(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	98.4%	(fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	82.1%	(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))

Samples

82.0ms

256×

valid

Compiler

Compiled 251 to 36 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-add: 26.0ms (41.2% of total)

ival-mult: 13.0ms (20.6% of total)

ival-div: 11.0ms (17.4% of total)

const: 11.0ms (17.4% of total)

ival-sub: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.6%)

Memory

19.5MiB live, 177.3MiB allocated

Counts

21 → 528

Calls

Call 1

Inputs
#<alt (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))>
#<alt (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (neg.f64 x)>
#<alt (+.f64 x (/.f64 #s(literal -1 binary64) x))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 y (*.f64 y (neg.f64 x)))>
#<alt (+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))>
#<alt (*.f64 y (neg.f64 x))>
#<alt (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))>
#<alt (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))>
#<alt (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))>
#<alt (+.f64 x (fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))>
#<alt (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))>
#<alt (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))>
#<alt (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))>

Outputs
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y))))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))))>
#<alt (+ x (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) (pow y 3))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2)))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) x)) (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) y)))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) (/ 1 x))>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))>
#<alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))>
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#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5641895835477563/5000000000000000 (/ z (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))>
#<alt (* -5000000000000000/5641895835477563 z)>
#<alt (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* y z))) (* -5000000000000000/5641895835477563 z))>
#<alt (+ (* -5000000000000000/5641895835477563 z) (* y (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* 5641895835477563/5000000000000000 (* y (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z))))))))>
#<alt (+ (* -5000000000000000/5641895835477563 z) (* y (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (+ (* 5641895835477563/5000000000000000 (* y (+ (* 6250000000000000000000000000000000000000000000000000000000000000000000000000000/5716435640373629036936327838135698990352533513761386655294448491685017549324043 (* (pow x 3) z)) (* 10000000000000000/5641895835477563 (* x (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)))))))) (* 5641895835477563/5000000000000000 (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)))))))))>
#<alt (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) (pow y 2))))>
#<alt (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ z (pow x 2)))) (pow y 2))>
#<alt (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) (pow y 2))))) (pow y 2))>
#<alt (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (+ (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) (pow y 2))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) x)) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow x 5)))) (pow y 3)))))) (pow y 2))>
#<alt (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) (pow y 2))))>
#<alt (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ z (pow x 2)))) (pow y 2))>
#<alt (/ (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) y)) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow x 3)))) y))) (pow y 2))>
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#<alt (* -5000000000000000/5641895835477563 z)>
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#<alt (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) (pow y 2))))>
#<alt (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 3)))) (* -5641895835477563/5000000000000000 (/ z (pow y 2)))) (pow x 2))>
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#<alt (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 3)))) (+ (* -5641895835477563/5000000000000000 (/ z (pow y 2))) (+ (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 4)))) (pow x 2))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 4)))) y)) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 5)))) (pow x 3)))))) (pow x 2))>
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#<alt (/ (+ (* -5641895835477563/5000000000000000 (/ z (pow y 2))) (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 5))) (* -5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 4)))) y))) x)) (* 5641895835477563/5000000000000000 (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 4)))))) x)) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow y 3)))) x))) (pow x 2))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
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#<alt (* 5641895835477563/10000000000000000 z)>
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#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt 5641895835477563/5000000000000000>
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#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (* 5641895835477563/10000000000000000 (pow z 2))>
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#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* 5641895835477563/10000000000000000 (pow z 2))>
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#<alt 5641895835477563/5000000000000000>
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#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* 5000000000000000/5641895835477563 y)>
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#<alt (/ -1 x)>
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#<alt (/ -1 x)>
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#<alt (* -5641895835477563/5000000000000000 z)>
#<alt (* -5641895835477563/5000000000000000 z)>
#<alt (* -5641895835477563/5000000000000000 z)>
#<alt (* -5641895835477563/5000000000000000 z)>
#<alt (* -5641895835477563/5000000000000000 z)>
#<alt (* -5641895835477563/5000000000000000 z)>
#<alt (* -5641895835477563/5000000000000000 z)>
#<alt (* -5641895835477563/5000000000000000 z)>
#<alt (* -5641895835477563/5000000000000000 z)>
#<alt (* -5641895835477563/5000000000000000 z)>

Calls

132 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(/ y (- 5641895835477563/5000000000000000 (* y x)))
3.0ms	x	@	inf	(+ (* y (/ (* z -5641895835477563/5000000000000000) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x))))) (/ y (- 5641895835477563/5000000000000000 (* y x))))
3.0ms	y	@	inf	(/ y (- 5641895835477563/5000000000000000 (* y x)))
3.0ms	x	@	0	(* y (neg x))
2.0ms	z	@	-inf	(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))

rewrite688.0ms (5.4%)

Memory

4.6MiB live, 870.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 526×	`lower-*.f32`
5 518×	`lower-*.f64`
4 538×	`lower-fma.f32`
4 526×	`lower-fma.f64`
3 584×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	198
0	57	176
1	279	176
2	2645	176
0	8510	175

Stop Event

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

Counts

21 → 766

Calls

Call 1

Inputs
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(neg.f64 x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y (*.f64 y (neg.f64 x)))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(*.f64 y (neg.f64 x))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(+.f64 x (fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x))))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))

Outputs
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(pow.f64 (/.f64 (-.f64 (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 z #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))
(.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
(*.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x y)) y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 y (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y)))
(/.f64 (neg.f64 y) (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y) #s(literal 1 binary64)))
(/.f64 (.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x y)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))
(pow.f64 (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))))
(.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x y))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))) y)
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 y (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))
(.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)

simplify537.0ms (4.2%)

Memory

-16.1MiB live, 916.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 740×	`lower-fma.f64`
6 740×	`lower-fma.f32`
6 244×	`lower-*.f64`
6 244×	`lower-*.f32`
4 860×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1247	9384
1	3985	9246
0	8327	8591

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 511

Calls

Call 1

Inputs
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) (pow x 3)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y))))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))))
(+ x (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))
(- x (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))
(- (+ x (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)))))
(- (+ x (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) (pow y 3))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2)))))))
(- x (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) x)) (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) y)))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) (/ 1 x))
(+ x (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3)))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))
x
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))
(- (+ x (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) (pow z 4))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) (* 20000000000000000/5641895835477563 (/ y (pow z 3))))
x
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))
(+ x (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 100000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) z))) (* -20000000000000000/5641895835477563 y)) (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))
(* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))
(* y (+ (* y (- (* y (- (/ (* (pow x 3) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow x 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))))) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))
(/ -1 x)
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y)) (/ 1 x))
(- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)))))
(- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) (pow y 3)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2)))))))
(/ -1 x)
(- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (* (pow x 3) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3) (* (pow x 4) y))) (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (pow x 3))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (pow x 2)))) y)) (/ 1 x))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))
(+ (* x (- (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(+ (* x (- (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
(/ -1 x)
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) x)) 1) x)
(/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 2) y))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y))))) x)
(/ (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 2) y)))))) x)
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(/ -1 x)
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(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))
(* 5000000000000000/5641895835477563 y)
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x)
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3))))) (pow x 2))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)
(* -5641895835477563/5000000000000000 z)

Outputs
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x
(* x (- 1 (/ 1 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) (pow x 3)))) (/ 1 (pow x 2))))
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x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
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x
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(- x (/ 1 x))
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(+ (* 5000000000000000/5641895835477563 y) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 x (fma.f64 (.f64 x (.f64 y (.f64 y y))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (.f64 (.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) (.f64 (.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 x (.f64 y y)))) (neg.f64 x)) #s(literal -1 binary64)) x)
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3))))) (pow x 2))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x)
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 y (.f64 y y))))) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x))
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 (.f64 y y) (.f64 x x))))) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 y y)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 y (.f64 y y))))) (neg.f64 x)) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y)) x)) (neg.f64 x))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))
(* -5641895835477563/5000000000000000 z)
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))

eval239.0ms (1.9%)

Memory: -2.6MiB live, 336.7MiB allocated
Compiler: Compiled 45 721 to 4 055 computations (91.1% saved)

prune344.0ms (2.7%)

Memory

-7.0MiB live, 286.6MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 321	16	1 337
Fresh	2	3	5
Picked	4	1	5
Done	0	0	0
Total	1 327	20	1 347

Accuracy

100.0%

Counts

1 347 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)
	64.1%	(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
	45.7%	(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
	33.2%	(fma.f64 y (+.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (.f64 y (fma.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (.f64 z x) (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) x)
	14.0%	(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)))
	46.7%	(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
	2.5%	(/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶	14.0%	(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
▶	14.0%	(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
▶	22.7%	(/.f64 #s(literal -1 binary64) x)
	51.8%	(+.f64 x (fma.f64 y (.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))
	46.7%	(+.f64 x (/.f64 (.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (.f64 z z)))
	44.8%	(+.f64 x (/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
▶	80.2%	(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
	79.8%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
▶	84.9%	(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
	83.4%	(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
✓	68.8%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
	45.7%	(+.f64 x (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
	14.3%	(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))

Compiler

Compiled 536 to 350 computations (34.7% saved)

simplify492.0ms (3.9%)

Memory

30.8MiB live, 465.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓	cost-diff	0	(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	cost-diff	0	(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
✓	cost-diff	0	(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
✓	cost-diff	0	(/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
✓	cost-diff	128	(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
✓	cost-diff	832	(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))

Rules

9 964×	`lower-fma.f32`
9 952×	`lower-fma.f64`
2 242×	`lower--.f32`
2 238×	`lower--.f64`
1 834×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	212
0	51	212
1	100	211
2	202	209
3	438	209
4	1120	201
5	3781	201
6	6952	201
0	8148	199

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
x
(/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
y
(neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
y
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
z
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
x
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
y
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
z
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(*.f64 y x)

Outputs
(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
(-.f64 x (/.f64 y (fma.f64 x y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 x y (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))))
y
(neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 x y (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))))
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(fma.f64 x y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/5000000000000000 binary64)
z
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
x
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
y
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
z
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)

localize120.0ms (0.9%)

Memory

-8.4MiB live, 202.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
✓	accuracy	99.9%	(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	96.7%	(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓	accuracy	89.2%	(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓	accuracy	99.9%	(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	99.8%	(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	88.9%	(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	99.8%	(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	99.7%	(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.8%	(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	93.7%	(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
✓	accuracy	90.9%	(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
✓	accuracy	82.1%	(/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))

Samples

67.0ms

256×

valid

Compiler

Compiled 248 to 34 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 14.0ms (28.5% of total)

const: 14.0ms (28.5% of total)

ival-div: 10.0ms (20.3% of total)

ival-add: 8.0ms (16.3% of total)

ival-sub: 2.0ms (4.1% of total)

ival-neg: 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)

series43.0ms (0.3%)

Memory

-7.5MiB live, 69.2MiB allocated

Counts

16 → 396

Calls

Call 1

Inputs
#<alt (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))>
#<alt (+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))>
#<alt (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))>
#<alt (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))>
#<alt (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))>
#<alt (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))>
#<alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)>
#<alt (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))>

Outputs
#<alt (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))>
#<alt (+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))>
#<alt (+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))>
#<alt (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))>
#<alt (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))>
#<alt (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))>
#<alt (+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))>
#<alt (+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))>
#<alt (+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))>
#<alt (* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))>
#<alt (* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))>
#<alt (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))>
#<alt (+ (* -5641895835477563/5000000000000000 z) (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))>
#<alt (+ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)))>
#<alt (+ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)))>
#<alt (* -5641895835477563/10000000000000000 (pow z 2))>
#<alt (* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))>
#<alt (* (pow z 2) (- (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (pow z 2)) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))>
#<alt (* (pow z 2) (- (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (pow z 2)) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))>
#<alt (* -5641895835477563/10000000000000000 (pow z 2))>
#<alt (* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))>
#<alt (* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) z))) z)) 5641895835477563/10000000000000000))>
#<alt (* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) z))) z)) 5641895835477563/10000000000000000))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (+ (* x (+ 1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ (* x (+ 1 (+ (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt (+ (* x (+ 1 (+ (* x (+ (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)))) (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y))))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (/ y (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))>
#<alt (+ x (* y (+ (/ 1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (/ y (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2))))))>
#<alt (+ x (* y (+ (* y (+ (/ 1 (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2))) (/ y (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 3))))) (/ 1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (* x y)))) (/ 1 x))>
#<alt (- (+ x (+ (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (* x y))) (* -1 (/ (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2) (* x (pow y 2)))))) (/ 1 x))>
#<alt (- (+ x (+ (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (* x y))) (+ (* -1 (/ (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2) (* x (pow y 2)))) (* -1 (/ (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 3) (* x (pow y 3))))))) (/ 1 x))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)) (/ (* (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))))) (* -1 (/ (* (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) (/ 1 x))>
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#<alt (* 5641895835477563/30000000000000000 z)>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>

Calls

99 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* x (- y (/ (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)))
2.0ms	x	@	inf	(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))))
1.0ms	z	@	0	(+ x (/ y (neg (* x (- y (/ (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))))))
1.0ms	y	@	inf	(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))))
1.0ms	x	@	0	(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))))

rewrite479.0ms (3.8%)

Memory

1.7MiB live, 745.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 174×	`lower-/.f32`
5 162×	`lower-/.f64`
4 954×	`lower-*.f32`
4 950×	`lower-*.f64`
4 752×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	162
0	51	162
1	250	161
2	2096	161
0	9698	161

Stop Event

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

Counts

16 → 593

Calls

Call 1

Inputs
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
(/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))

Outputs
(+.f64 (.f64 x y) (.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x))))
(+.f64 (.f64 x y) (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x)) x))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(fma.f64 x y (*.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x))))
(fma.f64 x y (*.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x)) x))
(fma.f64 y x (*.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x))))
(fma.f64 y x (*.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x)) x))
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(/.f64 (.f64 x (-.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (.f64 x (.f64 x x))))) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) (.f64 y y)))
(/.f64 (.f64 x (-.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (.f64 x x)))) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (.f64 x (.f64 x x)))) x) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) (.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (.f64 x x))) x) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) (.f64 y y))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (.f64 x x))))) (neg.f64 (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (.f64 x (.f64 x x)))) x)) (neg.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (.f64 x x))) x)) (neg.f64 (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (pow.f64 (.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 x (.f64 y (.f64 x y)) (-.f64 (.f64 (.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x))) (.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x)))) (.f64 (.f64 x y) (*.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x)))))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (pow.f64 (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 x (.f64 y (.f64 x y)) (-.f64 (.f64 (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x)) x) (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x)) x)) (.f64 (.f64 x y) (*.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 x)) x)))))
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(*.f64 x (neg.f64 (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(*.f64 (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(*.f64 (neg.f64 (neg.f64 x)) (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(+.f64 x (/.f64 y (*.f64 x (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(+.f64 (/.f64 y (*.f64 x (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))) x)
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 y (.f64 x (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))) (/.f64 (/.f64 (.f64 y y) (.f64 (.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))) (.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))) (-.f64 x (/.f64 y (*.f64 x (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))))
(-.f64 (/.f64 (/.f64 (.f64 y y) (.f64 (.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))) (.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))) (-.f64 (/.f64 y (.f64 x (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 y (*.f64 x (+.f64 (neg.f64 y) (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))) x)))
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(/.f64 (neg.f64 (-.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (.f64 (.f64 z z) #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64)))) (neg.f64 (-.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 z z) #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) (-.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (.f64 z #s(literal 31830988618379068626528276418969/300000000000000000000000000000000 binary64)))) (fma.f64 (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/27000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
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(.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/27000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) (-.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/300000000000000000000000000000000 binary64))))))
(.f64 (fma.f64 (.f64 z z) #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64))))

simplify856.0ms (6.7%)

Memory

-124.4MiB live, 772.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 554×	`lower-fma.f64`
10 554×	`lower-fma.f32`
6 228×	`lower-*.f64`
6 228×	`lower-*.f32`
5 176×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	931	8418
1	3020	8260
0	8565	7378

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 386

Calls

Call 1

Inputs
(* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(* x y)
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(* x y)
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x
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x
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(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
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(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y)) (* -1 x))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(* -1 (* x y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)) y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)) y))
(* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(/ 5641895835477563/5000000000000000 x)
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(* 5641895835477563/10000000000000000 (/ (pow z 2) x))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(* 5641895835477563/10000000000000000 (/ (pow z 2) x))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
5641895835477563/10000000000000000
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(* 5641895835477563/30000000000000000 z)
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* 5641895835477563/30000000000000000 z)
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))

Outputs
(* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(fma.f64 (neg.f64 z) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(fma.f64 x y (fma.f64 (neg.f64 z) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(fma.f64 x y (fma.f64 (neg.f64 z) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(fma.f64 x y (fma.f64 (neg.f64 z) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(*.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(*.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(*.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (neg.f64 x))
(* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))
(*.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (neg.f64 x))
(+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))
(*.f64 x (-.f64 y (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))
(*.f64 x (-.f64 y (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))
(*.f64 x (-.f64 y (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(*.f64 y (fma.f64 (neg.f64 x) (/.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))
(* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(*.f64 y (fma.f64 (neg.f64 x) (/.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))
(* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(*.f64 y (fma.f64 (neg.f64 x) (/.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(*.f64 y (fma.f64 (neg.f64 x) (/.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))
(* -1 (* y (+ (* -1 x) (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(*.f64 y (fma.f64 (neg.f64 x) (/.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))
(* -1 (* y (+ (* -1 x) (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(*.f64 y (fma.f64 (neg.f64 x) (/.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) y) x))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(*.f64 x (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)))
(+ (* -5641895835477563/5000000000000000 z) (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
(fma.f64 x (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)))
(+ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)))
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(+ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)))
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))
(* -5641895835477563/10000000000000000 (pow z 2))
(.f64 #s(literal -5641895835477563/10000000000000000 binary64) (.f64 z z))
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))
(neg.f64 (.f64 (.f64 z z) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))
(* (pow z 2) (- (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (pow z 2)) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))
(.f64 (.f64 z z) (-.f64 (fma.f64 x (/.f64 (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (*.f64 z z)) #s(literal -5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* (pow z 2) (- (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (pow z 2)) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))
(.f64 (.f64 z z) (-.f64 (fma.f64 x (/.f64 (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (*.f64 z z)) #s(literal -5641895835477563/10000000000000000 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* -5641895835477563/10000000000000000 (pow z 2))
(.f64 #s(literal -5641895835477563/10000000000000000 binary64) (.f64 z z))
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))
(neg.f64 (.f64 (.f64 z z) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) z))) z)) 5641895835477563/10000000000000000))
(.f64 (.f64 z z) (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) z) #s(literal 5641895835477563/5000000000000000 binary64)) z)) #s(literal -5641895835477563/10000000000000000 binary64)))
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) z))) z)) 5641895835477563/10000000000000000))
(.f64 (.f64 z z) (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) z) #s(literal 5641895835477563/5000000000000000 binary64)) z)) #s(literal -5641895835477563/10000000000000000 binary64)))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* x (+ 1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))
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(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y))))
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5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
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(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
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(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/30000000000000000 (pow z 2))
(.f64 (.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))
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(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(.f64 (.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
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(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(.f64 (.f64 z z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(.f64 (.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(.f64 (.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))))
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 z x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(fma.f64 z (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 z x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(fma.f64 z (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 z x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))
(* 5641895835477563/10000000000000000 (/ (pow z 2) x))
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(.f64 (.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z x))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(.f64 (.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x (*.f64 z z))))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(.f64 (.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x (*.f64 z z))))))
(* 5641895835477563/10000000000000000 (/ (pow z 2) x))
(/.f64 (.f64 #s(literal 5641895835477563/10000000000000000 binary64) (.f64 z z)) x)
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(.f64 (.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z x))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(.f64 (.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x (*.f64 z z))))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(.f64 (.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x (*.f64 z z))))))
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
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(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
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(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/30000000000000000 z)
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* 5641895835477563/30000000000000000 z)
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))

eval168.0ms (1.3%)

Memory: 14.0MiB live, 364.4MiB allocated
Compiler: Compiled 38 220 to 3 703 computations (90.3% saved)

prune314.0ms (2.5%)

Memory

-6.7MiB live, 352.2MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1 050	11	1 061
Fresh	5	9	14
Picked	2	3	5
Done	0	1	1
Total	1 057	24	1 081

Accuracy

100.0%

Counts

1 081 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(fma.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)
	47.7%	(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)
	45.7%	(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
	33.2%	(fma.f64 y (+.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (.f64 y (fma.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (.f64 z x) (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) x)
	46.7%	(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
▶	3.0%	(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
	2.5%	(/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶	14.0%	(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	14.0%	(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	14.0%	(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
	13.8%	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓	22.7%	(/.f64 #s(literal -1 binary64) x)
▶	84.9%	(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
	51.8%	(+.f64 x (fma.f64 y (.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))
	46.7%	(+.f64 x (/.f64 (.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (.f64 z z)))
	44.8%	(+.f64 x (/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
▶	79.8%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
	83.4%	(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
	60.9%	(+.f64 x (/.f64 y (neg.f64 (.f64 x (-.f64 y (/.f64 (.f64 (fma.f64 z (.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))))))
✓	68.8%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
	14.0%	(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
▶	13.8%	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
	3.0%	(.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (.f64 z z)))
	14.0%	(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))

Compiler

Compiled 611 to 393 computations (35.7% saved)

simplify298.0ms (2.3%)

Memory

-27.2MiB live, 314.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
✓	cost-diff	0	(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
✓	cost-diff	0	(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	cost-diff	128	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
✓	cost-diff	0	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
✓	cost-diff	0	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓	cost-diff	0	(-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))
✓	cost-diff	0	(/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
✓	cost-diff	0	(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
✓	cost-diff	832	(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))

Rules

8 252×	`lower-fma.f32`
8 240×	`lower-fma.f64`
2 244×	`lower-*.f32`
2 240×	`lower-*.f64`
1 946×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	161
0	47	161
1	91	161
2	180	161
3	312	161
4	605	155
5	1606	155
6	5149	155
0	8130	151

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
x
(/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
y
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
#s(literal 5000000000000000/5641895835477563 binary64)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
#s(literal 5000000000000000/5641895835477563 binary64)
z
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 x)
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)

Outputs
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(-.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))
x
(/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(/.f64 y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
y
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))
(-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))
(+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) x))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
#s(literal 5000000000000000/5641895835477563 binary64)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
y
#s(literal 5000000000000000/5641895835477563 binary64)
z
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))
x
(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
y
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(neg.f64 x)
#s(literal 5641895835477563/5000000000000000 binary64)
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
y
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
z
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
#s(literal 5641895835477563/30000000000000000 binary64)
#s(literal 5641895835477563/10000000000000000 binary64)
#s(literal 5641895835477563/5000000000000000 binary64)

localize140.0ms (1.1%)

Memory

8.1MiB live, 163.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	99.9%	(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
✓	accuracy	99.9%	(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	95.3%	(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	100.0%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
✓	accuracy	87.6%	(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	accuracy	99.7%	(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
✓	accuracy	99.5%	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓	accuracy	99.5%	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
✓	accuracy	99.8%	(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
✓	accuracy	93.7%	(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
✓	accuracy	90.9%	(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
✓	accuracy	82.1%	(/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))

Samples

89.0ms

256×

valid

Compiler

Compiled 188 to 32 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 36.0ms (49.9% of total)

const: 16.0ms (22.2% of total)

ival-div: 8.0ms (11.1% of total)

ival-add: 7.0ms (9.7% of total)

ival-sub: 2.0ms (2.8% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series33.0ms (0.3%)

Memory

-9.8MiB live, 32.7MiB allocated

Counts

16 → 360

Calls

Call 1

Inputs
#<alt (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))>
#<alt (-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))>
#<alt (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))>
#<alt (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))>
#<alt (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))>
#<alt (/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)>
#<alt (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))>
#<alt (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (neg.f64 x)>
#<alt (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))>
#<alt (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))>
#<alt (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))>
#<alt (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)>
#<alt (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))>

Outputs
#<alt (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))>
#<alt (+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))>
#<alt (+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))>
#<alt (+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))>
#<alt (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))>
#<alt (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))>
#<alt (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))>
#<alt (+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))>
#<alt (+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))>
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#<alt (/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 180000000000000000/5641895835477563 y))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3))>
#<alt (* 30000000000000000/5641895835477563 (/ y (pow z 3)))>
#<alt (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 180000000000000000/5641895835477563 (/ y z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))>
#<alt (* 5641895835477563/30000000000000000 (pow z 3))>
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow z 3))) (/ 5641895835477563/5000000000000000 (pow z 2))))))>
#<alt (* 5641895835477563/30000000000000000 (pow z 3))>
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))) z)) 5641895835477563/30000000000000000)))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))>
#<alt (* 5641895835477563/30000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* 5641895835477563/30000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt 5641895835477563/10000000000000000>
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))>
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))>
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))>
#<alt (* 5641895835477563/30000000000000000 z)>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/30000000000000000 z)>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))>
#<alt (* 5641895835477563/10000000000000000 (/ (pow z 2) x))>
#<alt (* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))>
#<alt (* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))>
#<alt (* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))>
#<alt (* 5641895835477563/10000000000000000 (/ (pow z 2) x))>
#<alt (* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))>
#<alt (* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))>
#<alt (* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>

Calls

90 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x)
5.0ms	x	@	-inf	(/ y (* x (- y (/ (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x))))
1.0ms	y	@	0	(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
1.0ms	y	@	inf	(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))
1.0ms	y	@	-inf	(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))

rewrite530.0ms (4.2%)

Memory

10.1MiB live, 563.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 852×	`lower-/.f32`
4 842×	`lower-/.f64`
4 788×	`lower-*.f32`
4 784×	`lower-*.f64`
4 152×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	133
0	47	133
1	227	133
2	1905	133
0	8989	133

Stop Event

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

Counts

16 → 436

Calls

Call 1

Inputs
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))
(neg.f64 x)
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))

Outputs
(+.f64 (.f64 x y) (.f64 x (neg.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(+.f64 (.f64 x y) (.f64 (neg.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) x))
(fma.f64 x y (*.f64 x (neg.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(fma.f64 x y (*.f64 (neg.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) x))
(fma.f64 y x (*.f64 x (neg.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))
(fma.f64 y x (*.f64 (neg.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) x))
(/.f64 (.f64 x (-.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (.f64 x (.f64 x x))))) (fma.f64 y y (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(/.f64 (.f64 x (-.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (.f64 x x)))) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(/.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (.f64 x (.f64 x x)))) x) (fma.f64 y y (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(/.f64 (.f64 (-.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (.f64 x x))) x) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 y y (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) (+.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (.f64 z z)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (.f64 z z))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (.f64 z z)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (.f64 z z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (.f64 z z)))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (.f64 z z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (.f64 z (.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (.f64 z z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))
(.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))

simplify581.0ms (4.6%)

Memory

26.4MiB live, 662.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 522×	`lower-fma.f64`
8 522×	`lower-fma.f32`
5 536×	`lower-*.f64`
5 536×	`lower-*.f32`
3 746×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	786	5776
1	2462	5676
2	7945	5666
0	8384	5201

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 348

Calls

Call 1

Inputs
(* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(* x y)
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))
(+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))
(+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))
(+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))
(* x y)
(* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(* -1 (* y (+ (* -1 x) (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(* -1 (* y (+ (* -1 x) (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))
(+ (* -5641895835477563/5000000000000000 z) (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
(+ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)))
(+ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)))
(* -5641895835477563/10000000000000000 (pow z 2))
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))
(* (pow z 2) (- (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (pow z 2)) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))
(* (pow z 2) (- (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (pow z 2)) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))
(* -5641895835477563/10000000000000000 (pow z 2))
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))))
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) z))) z)) 5641895835477563/10000000000000000))
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) z))) z)) 5641895835477563/10000000000000000))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(- (* x (+ 1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))) (* -1 (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))
(- (* x (+ 1 (+ (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (* -1 (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))
(- (* x (+ 1 (+ (* x (+ (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)))) (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (* -1 (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (+ (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* (pow x 3) y))) (* -1 (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (* (pow x 4) (pow y 2)))))) (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (/ y (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(+ x (* y (+ (/ 1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (/ y (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2))))))
(+ x (* y (+ (* y (+ (/ 1 (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2))) (/ y (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 3))))) (/ 1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))))
(- x (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (* x y)))) (/ 1 x))
(- (+ x (+ (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (* x y))) (* -1 (/ (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2) (* x (pow y 2)))))) (/ 1 x))
(- (+ x (+ (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (* x y))) (+ (* -1 (/ (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2) (* x (pow y 2)))) (* -1 (/ (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 3) (* x (pow y 3))))))) (/ 1 x))
(- x (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)) (/ (* (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))))) (* -1 (/ (* (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) (/ 1 x))
(- x (/ y (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))))
(- (+ x (* -5641895835477563/5000000000000000 (/ (* y z) (* (pow x 2) (pow (- y (* 5641895835477563/5000000000000000 (/ 1 x))) 2))))) (/ y (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))))
(- (+ x (* z (+ (* -5641895835477563/5000000000000000 (/ y (* (pow x 2) (pow (- y (* 5641895835477563/5000000000000000 (/ 1 x))) 2)))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- y (* 5641895835477563/5000000000000000 (/ 1 x))) 3)))) (* -5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- y (* 5641895835477563/5000000000000000 (/ 1 x))) 2))))))))) (/ y (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))))
(- (+ x (* z (+ (* -5641895835477563/5000000000000000 (/ y (* (pow x 2) (pow (- y (* 5641895835477563/5000000000000000 (/ 1 x))) 2)))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- y (* 5641895835477563/5000000000000000 (/ 1 x))) 3)))) (+ (* -5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- y (* 5641895835477563/5000000000000000 (/ 1 x))) 2)))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (* (pow x 3) (pow (- y (* 5641895835477563/5000000000000000 (/ 1 x))) 3)))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- y (* 5641895835477563/5000000000000000 (/ 1 x))) 3)))) (* -5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- y (* 5641895835477563/5000000000000000 (/ 1 x))) 2))))) (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))))))))))) (/ y (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))))
x
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(- (+ x (* -20000000000000000/5641895835477563 (/ y (pow z 3)))) (* -10000000000000000/5641895835477563 (/ y (pow z 2))))
(- (+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (+ (* 100000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (* y (- y (* 5641895835477563/5000000000000000 (/ 1 x))))) (pow z 4))) (* 40000000000000000/5641895835477563 (/ y (pow z 4)))))) (* -10000000000000000/5641895835477563 (/ y (pow z 2))))
x
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))
(- (+ x (* -20000000000000000/5641895835477563 (/ y (pow z 3)))) (* -10000000000000000/5641895835477563 (/ y (pow z 2))))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* 100000000000000000000000000000000/31830988618379068626528276418969 (* x (* y (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))) (* 40000000000000000/5641895835477563 y)) z)) (* 20000000000000000/5641895835477563 y)) (pow z 3)))) (* -10000000000000000/5641895835477563 (/ y (pow z 2))))
(* -1 (/ y (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(* y (- (* -1 (/ y (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2)))) (/ 1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))))
(* y (- (* y (- (* -1 (/ y (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 3)))) (/ 1 (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2))))) (/ 1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))))
(* y (- (* y (- (* y (- (* -1 (/ y (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 4)))) (/ 1 (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 3))))) (/ 1 (* x (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2))))) (/ 1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))))
(/ 1 x)
(+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y))))
(- (+ (/ 1 x) (/ (pow (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) 2) (* x (pow y 2)))) (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) (* x y))))
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(/ 1 x)
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(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* -1 (* x y))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* -1 (* x y))
(* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (+ (* -2500000000000000/5641895835477563 y) (* 2500000000000000/16925687506432689 y))))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))
(* 30000000000000000/5641895835477563 (/ y (pow z 3)))
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3))
(/ (- (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))
(/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 180000000000000000/5641895835477563 y))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3))
(* 30000000000000000/5641895835477563 (/ y (pow z 3)))
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)))
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 180000000000000000/5641895835477563 (/ y z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/30000000000000000 (pow z 3))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow z 3))) (/ 5641895835477563/5000000000000000 (pow z 2))))))
(* 5641895835477563/30000000000000000 (pow z 3))
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))) z)) 5641895835477563/30000000000000000)))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/30000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
5641895835477563/10000000000000000
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))
(* 5641895835477563/30000000000000000 z)
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* 5641895835477563/30000000000000000 z)
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
(/ 5641895835477563/5000000000000000 x)
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* z (+ (* 5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x)))
(* 5641895835477563/10000000000000000 (/ (pow z 2) x))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(* 5641895835477563/10000000000000000 (/ (pow z 2) x))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/10000000000000000 z)
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))

Outputs
(* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(fma.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(-.f64 (*.f64 x y) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(-.f64 (*.f64 x y) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+ (* -1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (* x y))
(-.f64 (*.f64 x y) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))
(*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(*.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(*.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))))
(*.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (neg.f64 x))
(* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))))
(*.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (neg.f64 x))
(+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))
(fma.f64 x (fma.f64 (neg.f64 z) (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (*.f64 x y))
(+ (* -1 (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) (* x y))
(fma.f64 x (fma.f64 (neg.f64 z) (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (*.f64 x y))
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(fma.f64 x (fma.f64 (neg.f64 z) (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(.f64 y (-.f64 x (.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (/.f64 x y))))
(* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(.f64 y (-.f64 x (.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (/.f64 x y))))
(* y (+ x (* -1 (/ (* x (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x))) y))))
(.f64 y (-.f64 x (.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (/.f64 x y))))
(* x y)
(*.f64 x y)
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(*.f64 (neg.f64 y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (/.f64 x y) (neg.f64 x)))
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(*.f64 (neg.f64 y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (/.f64 x y) (neg.f64 x)))
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(*.f64 (neg.f64 y) (fma.f64 (fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) (/.f64 x y) (neg.f64 x)))
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(*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))
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(fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x (-.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x))))
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(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(.f64 (.f64 z z) (+.f64 (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z x))) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x (*.f64 z z)))))
(* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (+ (/ 5641895835477563/5000000000000000 (* x z)) (/ 5641895835477563/5000000000000000 (* x (pow z 2))))))
(.f64 (.f64 z z) (+.f64 (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 z x))) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 x (*.f64 z z)))))
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))

eval111.0ms (0.9%)

Memory: -6.6MiB live, 224.6MiB allocated
Compiler: Compiled 20 835 to 2 536 computations (87.8% saved)

prune149.0ms (1.2%)

Memory

-14.6MiB live, 230.7MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	784	14	798
Fresh	6	9	15
Picked	2	3	5
Done	0	4	4
Total	792	30	822

Accuracy

100.0%

Counts

822 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(fma.f64 (/.f64 y (fma.f64 (.f64 x x) (.f64 y y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)) x)
	43.7%	(fma.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)
	47.7%	(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)
	45.7%	(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
	44.5%	(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
	57.8%	(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
	46.7%	(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
✓	14.0%	(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
	13.9%	(/.f64 y (fma.f64 z (fma.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	14.0%	(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
✓	14.0%	(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
	2.8%	(/.f64 y (.f64 z (.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))))
	13.8%	(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓	22.7%	(/.f64 #s(literal -1 binary64) x)
	46.7%	(-.f64 x (/.f64 (.f64 y #s(literal -10000000000000000/5641895835477563 binary64)) (.f64 z z)))
	44.5%	(-.f64 x (/.f64 y (.f64 x (/.f64 (.f64 z (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) x))))
	83.4%	(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
	60.9%	(-.f64 x (/.f64 y (.f64 x (-.f64 y (/.f64 (.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 z (.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))))
	51.8%	(+.f64 x (fma.f64 y (.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))
✓	79.8%	(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
✓	68.8%	(+.f64 x (/.f64 #s(literal -1 binary64) x))
	57.8%	(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
	56.2%	(+.f64 x (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)))
	14.0%	(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
	2.8%	(.f64 (/.f64 y (.f64 z (*.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64))
	3.0%	(*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) y)
✓	13.8%	(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
	3.0%	(.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (.f64 z z)))
	3.0%	(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z))
	14.0%	(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))

Compiler

Compiled 944 to 427 computations (54.8% saved)

regimes120.0ms (0.9%)

Memory

17.5MiB live, 94.0MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))
(+.f64 x (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) y)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (.f64 z z)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 (.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (.f64 z z)))
(-.f64 x (/.f64 (.f64 y #s(literal -10000000000000000/5641895835477563 binary64)) (.f64 z z)))
(.f64 (/.f64 y (.f64 z (*.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64))
(/.f64 y (.f64 z (.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))))
(fma.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 y (fma.f64 z (fma.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (fma.f64 y (.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)))
(fma.f64 y (+.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (.f64 y (fma.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (.f64 z x) (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) x)
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(-.f64 x (/.f64 y (.f64 x (/.f64 (.f64 z (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) x))))
(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
(fma.f64 (/.f64 y (fma.f64 (.f64 x x) (.f64 y y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)) x)
(/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
(+.f64 x (fma.f64 y (/.f64 (.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(-.f64 x (/.f64 y (.f64 x (-.f64 y (/.f64 (.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 z (.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))))
(+.f64 x (/.f64 y (neg.f64 (.f64 x (-.f64 y (/.f64 (.f64 (fma.f64 z (.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))))))
(.f64 (exp.f64 (neg.f64 z)) (.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)
(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))

Outputs

(+.f64 x (/.f64 #s(literal -1 binary64) x))

(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))

Calls

6 calls:

36.0ms	x
26.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
15.0ms	z
15.0ms	y
12.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
95.7%	3	`x`
91.7%	1	`y`
99.1%	2	`z`
99.9%	3	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
99.1%	2	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
99.1%	2	`(exp.f64 z)`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes100.0ms (0.8%)

Memory

-13.6MiB live, 62.8MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))
(+.f64 x (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) y)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (.f64 z z)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 (.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (.f64 z z)))
(-.f64 x (/.f64 (.f64 y #s(literal -10000000000000000/5641895835477563 binary64)) (.f64 z z)))
(.f64 (/.f64 y (.f64 z (*.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64))
(/.f64 y (.f64 z (.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))))
(fma.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 y (fma.f64 z (fma.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (fma.f64 y (.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))
(+.f64 x (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)))
(fma.f64 y (+.f64 (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) (.f64 y (fma.f64 #s(literal -50000000000000000000000000000000/31830988618379068626528276418969 binary64) (.f64 z x) (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) x)
(-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x)))))
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(-.f64 x (/.f64 y (.f64 x (/.f64 (.f64 z (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) x))))
(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
(+.f64 x (/.f64 y (neg.f64 (*.f64 x (-.f64 y (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
(fma.f64 (/.f64 y (fma.f64 (.f64 x x) (.f64 y y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)) x)
(/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 (.f64 #s(literal -5641895835477563/5000000000000000 binary64) (.f64 y z)) (.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))

Outputs

(+.f64 x (/.f64 #s(literal -1 binary64) x))

(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))

Calls

4 calls:

51.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
13.0ms	z
13.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
10.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
93.1%	3	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
98.0%	2	`z`
98.0%	2	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
98.0%	2	`(exp.f64 z)`

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes61.0ms (0.5%)

Memory

8.1MiB live, 43.3MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))
(+.f64 x (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) y)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (.f64 z z)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 (.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (.f64 z z)))
(-.f64 x (/.f64 (.f64 y #s(literal -10000000000000000/5641895835477563 binary64)) (.f64 z z)))
(.f64 (/.f64 y (.f64 z (*.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64))
(/.f64 y (.f64 z (.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))))
(fma.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))
(/.f64 y (fma.f64 z (fma.f64 z (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (fma.f64 y (.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (.f64 y x)))))

Outputs

(+.f64 x (/.f64 #s(literal -1 binary64) x))

(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))

(fma.f64 (/.f64 y (*.f64 z (*.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)

Calls

3 calls:

42.0ms	z
8.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
8.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
98.2%	3	`z`
97.9%	3	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
97.9%	3	`(exp.f64 z)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))
(+.f64 x (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) y)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (.f64 z z)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 (.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (.f64 z z)))
(-.f64 x (/.f64 (.f64 y #s(literal -10000000000000000/5641895835477563 binary64)) (.f64 z z)))
(.f64 (/.f64 y (.f64 z (*.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64))
(/.f64 y (.f64 z (.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))))
(fma.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)

Outputs

(+.f64 x (/.f64 #s(literal -1 binary64) x))

(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))

(fma.f64 (/.f64 y (*.f64 z (*.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes65.0ms (0.5%)

Memory

-21.3MiB live, 23.3MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))
(+.f64 x (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) y)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (.f64 z z)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))
(+.f64 x (/.f64 (.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (.f64 z z)))
(-.f64 x (/.f64 (.f64 y #s(literal -10000000000000000/5641895835477563 binary64)) (.f64 z z)))
(.f64 (/.f64 y (.f64 z (*.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64))
(/.f64 y (.f64 z (.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))))

Outputs

(+.f64 x (/.f64 #s(literal -1 binary64) x))

(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))

(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)

Calls

3 calls:

49.0ms	z
7.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
7.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
96.8%	3	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
96.8%	3	`(exp.f64 z)`
97.5%	3	`z`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes61.0ms (0.5%)

Memory

23.1MiB live, 62.1MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))
(+.f64 x (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) y)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (.f64 z z)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))

Outputs

(+.f64 x (/.f64 #s(literal -1 binary64) x))

(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))

(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)

Calls

5 calls:

34.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
7.0ms	z
7.0ms	x
7.0ms	y
6.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
79.8%	1	`y`
79.8%	1	`x`
91.4%	2	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
91.4%	2	`(exp.f64 z)`
93.7%	3	`z`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes56.0ms (0.4%)

Memory

-25.7MiB live, 50.3MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))
(+.f64 x (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) y)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000/5641895835477563 binary64))
(.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (.f64 z z)))
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x))))

Outputs

(+.f64 x (/.f64 #s(literal -1 binary64) x))

(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x)

(+.f64 x (/.f64 #s(literal -1 binary64) x))

Calls

4 calls:

26.0ms	z
6.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
5.0ms	(exp.f64 z)
5.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
80.7%	3	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
80.7%	3	`(exp.f64 z)`
84.5%	3	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
83.1%	4	`z`

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes6.0ms (0%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))
(+.f64 x (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) y)
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) z)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (.f64 (.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)))
(/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))

Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (/.f64 #s(literal -1 binary64) x))

Calls

1 calls:

5.0ms

(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))

Results

Accuracy	Segments	Branch
84.5%	3	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes60.0ms (0.5%)

Memory

-1.0MiB live, 41.6MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x)
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (fma.f64 z y (neg.f64 y)))
(+.f64 x (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))))

Outputs
(/.f64 #s(literal -1 binary64) x)
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)

Calls

6 calls:

44.0ms	z
3.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
3.0ms	y
3.0ms	x
3.0ms	(exp.f64 z)

Results

Accuracy	Segments	Branch
64.6%	2	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
64.6%	2	`(exp.f64 z)`
65.4%	2	`z`
61.2%	2	`y`
61.5%	3	`x`
60.9%	2	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes11.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))

(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)

(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))

Outputs
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)

Calls

6 calls:

2.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
2.0ms	z
2.0ms	x
2.0ms	y
1.0ms	(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))

Results

Accuracy	Segments	Branch
57.8%	1	`x`
57.8%	1	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
57.8%	1	`y`
57.8%	1	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
57.8%	1	`(exp.f64 z)`
57.8%	1	`z`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes47.0ms (0.4%)

Memory

-19.8MiB live, 18.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))

Outputs
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))

Calls

6 calls:

40.0ms	(exp.f64 z)
1.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))
1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
13.8%	1	`y`
13.8%	1	`x`
13.8%	1	`z`
13.8%	1	`(+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y))))`
13.8%	1	`(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))`
13.8%	1	`(exp.f64 z)`

Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999999948

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999999948

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch110.0ms (0.9%)

Memory

-15.9MiB live, 62.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.241571874873413e+20	3.1248054976418713e+29
52.0ms	-2191555266358.9832	-213647114.2483588

Samples

21.0ms

272×

valid

Compiler

Compiled 488 to 323 computations (33.8% saved)

Precisions

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

const: 4.0ms (28.3% of total)

ival-exp: 3.0ms (21.2% of total)

ival-mult: 3.0ms (21.2% of total)

ival-div: 2.0ms (14.1% of total)

ival-sub: 1.0ms (7.1% of total)

ival-add: 1.0ms (7.1% of total)

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

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

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.241571874873413e+20	3.1248054976418713e+29
1.0ms	-2191555266358.9832	-213647114.2483588

Compiler

Compiled 437 to 306 computations (30% saved)

bsearch19.0ms (0.2%)

Memory

35.3MiB live, 35.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.029845822572778e+101	6.642868564235897e+107
1.0ms	-2191555266358.9832	-213647114.2483588

Samples

11.0ms

144×

valid

Compiler

Compiled 419 to 297 computations (29.1% saved)

Precisions

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

ival-mult: 2.0ms (27.9% of total)

const: 2.0ms (27.9% of total)

ival-sub: 1.0ms (14% of total)

ival-div: 1.0ms (14% of total)

ival-exp: 1.0ms (14% of total)

ival-add: 1.0ms (14% of total)

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

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

bsearch78.0ms (0.6%)

Memory

-42.3MiB live, 21.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8834233791131605e+130	6.436338187765134e+133
1.0ms	-2191555266358.9832	-213647114.2483588

Samples

9.0ms

128×

valid

Compiler

Compiled 378 to 272 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (31.5% of total)

const: 2.0ms (31.5% of total)

ival-sub: 1.0ms (15.7% of total)

ival-div: 1.0ms (15.7% of total)

ival-exp: 1.0ms (15.7% of total)

ival-add: 1.0ms (15.7% of total)

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	710.2928279772854	719851518.1998944
0.0ms	-63.38725391455988	-5.0769932154157094e-5

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	710.2928279772854	719851518.1998944
0.0ms	-63.38725391455988	-5.0769932154157094e-5

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2191555266358.9832	-213647114.2483588

Compiler

Compiled 138 to 112 computations (18.8% saved)

simplify84.0ms (0.7%)

Memory

-9.7MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Rules

354×	`distribute-lft-neg-in_binary64`
192×	`neg-mul-1_binary64`
182×	`neg-sub0_binary64`
164×	`cancel-sign-sub_binary64`
150×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	288
1	110	288
2	134	288
3	152	288
4	165	288
5	188	288
6	224	288
7	283	288
8	345	288
9	411	288
10	481	288
11	574	288
12	724	288
13	889	288
14	1034	288
15	1090	288
16	1101	288
17	1104	288

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 z #s(literal -220000000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 950000000000000037748736 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (fma.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)))
(if (<=.f64 z #s(literal -220000000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 950000000000000037748736 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)))
(if (<=.f64 z #s(literal -220000000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 819999999999999993613681787745842089210967234008324007538000469213927566799847149597661686788173856768 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)))
(if (<=.f64 z #s(literal -220000000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 180000000000000015686204858838600634866367237060037358392221879777976981197057032384305307576350151688805557721012278845414418939904 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal -50 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 1000 binary64)) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal -50 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 1000 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 z #s(literal -220000000 binary64)) (/.f64 #s(literal -1 binary64) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))

Outputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 x (/.f64 y (*.f64 x (-.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x))))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))))
(if (<=.f64 z #s(literal -220000000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 950000000000000037748736 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (fma.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)))
(if (<=.f64 z #s(literal -220000000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 950000000000000037748736 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64) x)))
(if (<=.f64 z #s(literal -220000000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 819999999999999993613681787745842089210967234008324007538000469213927566799847149597661686788173856768 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)))
(if (<=.f64 z #s(literal -220000000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 180000000000000015686204858838600634866367237060037358392221879777976981197057032384305307576350151688805557721012278845414418939904 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)))
(if (<=.f64 z #s(literal -220000000 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 180000000000000015686204858838600634866367237060037358392221879777976981197057032384305307576350151688805557721012278845414418939904 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal -50 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 1000 binary64)) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y)))) #s(literal -50 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y)))) #s(literal 1000 binary64)) (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal -50 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (.f64 x y)))) #s(literal 1000 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y)))) #s(literal -50 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (.f64 x y)))) #s(literal 1000 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) (+.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 z #s(literal -220000000 binary64)) (/.f64 #s(literal -1 binary64) x) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x))
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))

soundness1.6s (12.3%)

Memory

11.3MiB live, 1 162.0MiB allocated

Rules

10 554×	`lower-fma.f64`
10 554×	`lower-fma.f32`
8 782×	`lower-fma.f64`
8 782×	`lower-fma.f32`
8 522×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	786	5776
1	2462	5676
2	7945	5666
0	8384	5201
0	931	8418
1	3020	8260
0	8565	7378
0	316	1999
1	904	1979
2	2644	1891
0	8336	1801
0	26	162
0	51	162
1	250	161
2	2096	161
0	9698	161
0	1247	9384
1	3985	9246
0	8327	8591

Stop Event

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

Compiler

Compiled 820 to 427 computations (47.9% saved)

preprocess156.0ms (1.2%)

Memory: 4.6MiB live, 283.3MiB allocated
Compiler: Compiled 642 to 204 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	43
0	16	43
1	24	43
2	36	43
3	48	43
4	71	43
5	101	43
6	160	43
7	228	43
8	321	43
9	429	43
10	592	43
11	605	43
12	620	43
13	667	43
0	667	42

Iter	Nodes	Cost
0	10	43
0	16	43
1	24	43
2	36	43
3	48	43
4	71	43
5	101	43
6	160	43
7	228	43
8	321	43
9	429	43
10	592	43
11	605	43
12	620	43
13	667	43
0	667	42

analyze115.0ms (0.9%)

sample1.1s (8.8%)

preprocess145.0ms (1.1%)

explain344.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify62.0ms (0.5%)

localize72.0ms (0.6%)

series13.0ms (0.1%)

rewrite786.0ms (6.2%)

simplify741.0ms (5.8%)

eval49.0ms (0.4%)

prune59.0ms (0.5%)

simplify268.0ms (2.1%)

localize133.0ms (1%)

series70.0ms (0.6%)

rewrite688.0ms (5.4%)

simplify537.0ms (4.2%)

eval239.0ms (1.9%)

prune344.0ms (2.7%)

simplify492.0ms (3.9%)

localize120.0ms (0.9%)

series43.0ms (0.3%)

rewrite479.0ms (3.8%)

simplify856.0ms (6.7%)

eval168.0ms (1.3%)

prune314.0ms (2.5%)

simplify298.0ms (2.3%)

localize140.0ms (1.1%)

series33.0ms (0.3%)

rewrite530.0ms (4.2%)

simplify581.0ms (4.6%)

eval111.0ms (0.9%)

prune149.0ms (1.2%)

regimes120.0ms (0.9%)

regimes100.0ms (0.8%)

regimes61.0ms (0.5%)

regimes10.0ms (0.1%)

regimes65.0ms (0.5%)

regimes61.0ms (0.5%)

regimes56.0ms (0.4%)

regimes6.0ms (0%)

regimes60.0ms (0.5%)

regimes11.0ms (0.1%)

regimes47.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch110.0ms (0.9%)

bsearch2.0ms (0%)

bsearch19.0ms (0.2%)

bsearch78.0ms (0.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify84.0ms (0.7%)

soundness1.6s (12.3%)

preprocess156.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	43
0	16	43
1	24	43
2	36	43
3	48	43
4	71	43
5	101	43
6	160	43
7	228	43
8	321	43
9	429	43
10	592	43
11	605	43
12	620	43
13	667	43
0	667	42