Metrics for Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

analyze131.0ms (1.3%)

Memory

-27.5MiB live, 130.9MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	11
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (11.2%)

Memory

29.9MiB live, 1 151.2MiB allocated

Samples

805.0ms	8 254×	0	valid
0.0ms	1×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 439.0ms

ival-div: 225.0ms (51.2% of total)

ival-add: 110.0ms (25% of total)

ival-sub: 91.0ms (20.7% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess172.0ms (1.7%)

Memory

-22.0MiB live, 87.8MiB allocated

Algorithm

2×	egg-herbie

Rules

736×	`times-frac`
510×	`div-sub`
412×	`unsub-neg`
390×	`distribute-rgt-in`
372×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	99
1	84	91
2	161	90
3	362	90
4	1100	90
5	2038	90
6	2808	90
7	3400	90
8	3547	90
9	3613	90
10	3649	90
11	3677	90
12	3677	90
0	8	9
1	13	9
2	21	9
3	30	9
4	46	9
5	62	9
6	83	9
7	111	9
8	149	9
9	208	9
10	336	9
11	450	9
12	630	9
13	782	9
14	855	9
15	896	9
16	898	9
17	902	9
0	902	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) (- 1 (/ y z)))

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

Call 2

Inputs
(/ (+ x y) (- 1 (/ y z)))
(/ (+ (neg x) y) (- 1 (/ y z)))
(/ (+ x (neg y)) (- 1 (/ (neg y) z)))
(/ (+ x y) (- 1 (/ y (neg z))))
(neg (/ (+ (neg x) y) (- 1 (/ y z))))
(neg (/ (+ x (neg y)) (- 1 (/ (neg y) z))))
(neg (/ (+ x y) (- 1 (/ y (neg z)))))
(/ (+ y x) (- 1 (/ x z)))
(/ (+ z y) (- 1 (/ y x)))
(/ (+ x z) (- 1 (/ z y)))

Outputs
(/ (+ x y) (- 1 (/ y z)))
(/ (+ (neg x) y) (- 1 (/ y z)))
(/ (- y x) (- 1 (/ y z)))
(/ (+ x (neg y)) (- 1 (/ (neg y) z)))
(/ (- y x) (- -1 (/ y z)))
(/ (+ x y) (- 1 (/ y (neg z))))
(/ (+ x y) (+ 1 (/ y z)))
(neg (/ (+ (neg x) y) (- 1 (/ y z))))
(/ (- y x) (+ (/ y z) -1))
(neg (/ (+ x (neg y)) (- 1 (/ (neg y) z))))
(/ (- y x) (+ 1 (/ y z)))
(neg (/ (+ x y) (- 1 (/ y (neg z)))))
(/ (+ x y) (- -1 (/ y z)))
(/ (+ y x) (- 1 (/ x z)))
(/ (+ x y) (- 1 (/ x z)))
(/ (+ z y) (- 1 (/ y x)))
(/ (+ y z) (- 1 (/ y x)))
(/ (+ x z) (- 1 (/ z y)))

explain129.0ms (1.3%)

Memory

17.9MiB live, 137.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
35	-	-	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 x y)`
0	-	-	`z`
0	-	-	`x`
0	-	-	`(/.f64 y z)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`	n/o	35	0
↳	`(/.f64 y z)`	overflow	35
↳	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`	overflow	35

Confusion

	Predicted +	Predicted -
+	35	0
-	0	221

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	0
-	0	0	221

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	221
1	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-add: 16.0ms (50.7% of total)

ival-sub: 7.0ms (22.2% of total)

ival-div: 7.0ms (22.2% of total)

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

exact: 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
▶	87.2%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify42.0ms (0.4%)

Memory

-13.1MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 y z)
✓	cost-diff	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Rules

368×	`accelerator-lowering-fma.f32`
368×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
196×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	13	24
2	21	24
3	30	24
4	46	24
5	62	24
6	83	24
7	111	24
8	149	24
9	208	24
10	336	24
11	450	24
12	630	24
13	782	24
14	855	24
15	896	24
16	898	24
17	902	24
0	902	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) (- 1 (/ y z)))
(+ x y)
x
y
(- 1 (/ y z))
1
(/ y z)
z

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

localize28.0ms (0.3%)

Memory

-10.2MiB live, 28.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	87.2%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Samples

14.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-div: 3.0ms (46.1% of total)

ival-sub: 1.0ms (15.4% of total)

ival-add: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

4 → 108

Calls

Call 1

Inputs
#<alt (/ (+ x y) (- 1 (/ y z)))>
#<alt (+ x y)>
#<alt (- 1 (/ y z))>
#<alt (/ y z)>

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

Calls

27 calls:

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

rewrite258.0ms (2.6%)

Memory

30.0MiB live, 461.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 550×	`-lowering-.f32`
3 550×	`-lowering-.f64`
3 202×	`/-lowering-/.f32`
3 202×	`/-lowering-/.f64`
2 858×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	52	20
2	428	20
3	7692	20
0	8012	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 336

Calls

Call 1

Inputs
(/ (+ x y) (- 1 (/ y z)))
(+ x y)
(- 1 (/ y z))
(/ y z)

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

simplify584.0ms (5.9%)

Memory

-16.4MiB live, 1 168.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 244×	`accelerator-lowering-fma.f32`
17 244×	`accelerator-lowering-fma.f64`
4 624×	`-lowering-.f32`
4 624×	`-lowering-.f64`
2 932×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	958
1	589	915
2	1842	852
3	7158	833
0	8263	790

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval78.0ms (0.8%)

Memory: -5.4MiB live, 133.5MiB allocated
Compiler: Compiled 10 558 to 999 computations (90.5% saved)

prune102.0ms (1%)

Memory

15.4MiB live, 137.0MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	430	14	444
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	430	15	445

Accuracy

100.0%

Counts

445 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z)) x)
▶	48.6%	(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
	46.9%	(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 x y))
✓	87.2%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	36.8%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	53.0%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	46.0%	(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
	35.6%	(-.f64 #s(literal 0 binary64) z)
	49.7%	(+.f64 y x)
	46.2%	(*.f64 (/.f64 y (-.f64 z y)) z)
	49.5%	(*.f64 (/.f64 x (-.f64 z y)) z)
▶	87.1%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
▶	49.1%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
	85.2%	(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
▶	38.2%	x

Compiler

Compiled 330 to 210 computations (36.4% saved)

simplify98.0ms (1%)

Memory

-12.8MiB live, 106.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x z))
✓	cost-diff	0	(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
✓	cost-diff	-64	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))

Rules

1 344×	`accelerator-lowering-fma.f32`
1 344×	`accelerator-lowering-fma.f64`
704×	`-lowering-.f32`
704×	`-lowering-.f64`
426×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
1	44	91
2	94	91
3	186	91
4	350	91
5	632	91
6	943	91
7	1464	91
8	2028	91
9	2301	91
10	2333	91
11	2335	91
12	2335	91
0	2335	90

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 1 (- 1 (/ y z))) (+ x y))
(/ 1 (- 1 (/ y z)))
1
(- 1 (/ y z))
(/ y z)
y
z
(+ x y)
x
x
(* z (- -1 (/ x y)))
z
(- -1 (/ x y))
-1
(/ x y)
x
y
(+ (* y (+ 1 (/ x z))) x)
y
(+ 1 (/ x z))
1
(/ x z)
x
z
(/ x (- 1 (/ y z)))
x
(- 1 (/ y z))
1
(/ y z)
y
z

Outputs
(* (/ 1 (- 1 (/ y z))) (+ x y))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ 1 (- 1 (/ y z)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
1
#s(literal 1 binary64)
(- 1 (/ y z))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ y z)
(/.f64 y z)
y
z
(+ x y)
(+.f64 y x)
x
x
(* z (- -1 (/ x y)))
(fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 0 binary64))
z
(- -1 (/ x y))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(/ x y)
(/.f64 x y)
x
y
(+ (* y (+ 1 (/ x z))) x)
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
y
(+ 1 (/ x z))
(+.f64 #s(literal 1 binary64) (/.f64 x z))
1
#s(literal 1 binary64)
(/ x z)
(/.f64 x z)
x
z
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(- 1 (/ y z))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(/ y z)
(/.f64 y z)
y
z

localize60.0ms (0.6%)

Memory

19.0MiB live, 135.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	96.2%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x z))
✓	accuracy	97.0%	(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	accuracy	95.4%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	88.3%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))

Samples

37.0ms

256×

valid

Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 10.0ms (47.8% of total)

ival-add: 4.0ms (19.1% of total)

ival-mult: 4.0ms (19.1% of total)

ival-sub: 2.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

-32.4MiB live, 48.7MiB allocated

Counts

12 → 336

Calls

Call 1

Inputs
#<alt (* (/ 1 (- 1 (/ y z))) (+ x y))>
#<alt (/ 1 (- 1 (/ y z)))>
#<alt (- 1 (/ y z))>
#<alt (/ y z)>
#<alt (- -1 (/ x y))>
#<alt (/ x y)>
#<alt (* z (- -1 (/ x y)))>
#<alt (+ (* y (+ 1 (/ x z))) x)>
#<alt (+ 1 (/ x z))>
#<alt (/ x z)>
#<alt (/ x (- 1 (/ y z)))>
#<alt (+ x y)>

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

Calls

84 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(/ 1 (- 1 (/ y z)))
3.0ms	x	@	0	(/ x (- 1 (/ y z)))
1.0ms	x	@	inf	(- -1 (/ x y))
1.0ms	z	@	0	(* z (- -1 (/ x y)))
1.0ms	x	@	inf	(/ x (- 1 (/ y z)))

rewrite754.0ms (7.6%)

Memory

13.0MiB live, 447.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 988×	`/-lowering-/.f32`
4 988×	`/-lowering-/.f64`
4 314×	`-lowering-.f32`
4 314×	`-lowering-.f64`
3 576×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	128	66
2	1142	66
0	8345	65

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 540

Calls

Call 1

Inputs
(* (/ 1 (- 1 (/ y z))) (+ x y))
(/ 1 (- 1 (/ y z)))
(- 1 (/ y z))
(/ y z)
(- -1 (/ x y))
(/ x y)
(* z (- -1 (/ x y)))
(+ (* y (+ 1 (/ x z))) x)
(+ 1 (/ x z))
(/ x z)
(/ x (- 1 (/ y z)))
(+ x y)

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

simplify1.4s (14.1%)

Memory

-1.3MiB live, 795.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 950×	`accelerator-lowering-fma.f32`
15 950×	`accelerator-lowering-fma.f64`
4 428×	`-lowering-.f32`
4 428×	`-lowering-.f64`
4 208×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	2740
1	1354	2631
2	3874	2435
0	8556	2332

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval135.0ms (1.4%)

Memory: 29.8MiB live, 230.6MiB allocated
Compiler: Compiled 17 968 to 1 916 computations (89.3% saved)

prune116.0ms (1.2%)

Memory

-5.4MiB live, 230.3MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	988	9	997
Fresh	4	5	9
Picked	1	4	5
Done	0	1	1
Total	993	19	1 012

Accuracy

100.0%

Counts

1 012 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.0%	(fma.f64 y (/.f64 x z) x)
✓	87.2%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	36.8%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	53.0%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	17.6%	(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
	35.6%	(-.f64 #s(literal 0 binary64) z)
▶	48.6%	(+.f64 y (fma.f64 y (/.f64 x z) x))
▶	49.7%	(+.f64 y x)
	46.2%	(*.f64 (/.f64 y (-.f64 z y)) z)
▶	49.5%	(*.f64 (/.f64 x (-.f64 z y)) z)
✓	87.1%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
	40.0%	(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (+.f64 x y))
	49.1%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
	39.3%	(.f64 (.f64 z (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))) (+.f64 x y))
▶	49.1%	(*.f64 z (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
✓	49.1%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
	49.1%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
▶	14.3%	y
✓	38.2%	x

Compiler

Compiled 334 to 224 computations (32.9% saved)

simplify101.0ms (1%)

Memory

-14.6MiB live, 104.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 z (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(neg.f64 (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	192	(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(fma.f64 y (/.f64 x z) x)
✓	cost-diff	0	(+.f64 y (fma.f64 y (/.f64 x z) x))
✓	cost-diff	-64	(*.f64 (/.f64 x (-.f64 z y)) z)
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 x (-.f64 z y))
✓	cost-diff	0	(+.f64 y x)

Rules

1 312×	`accelerator-lowering-fma.f32`
1 312×	`accelerator-lowering-fma.f64`
736×	`-lowering-.f32`
736×	`-lowering-.f64`
392×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	73
1	49	73
2	100	69
3	220	69
4	392	69
5	668	69
6	983	69
7	1438	69
8	2026	69
9	2219	69
10	2254	69
11	2262	69
12	2263	69
0	2263	67

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ y x)
y
x
y
(* (/ x (- z y)) z)
(/ x (- z y))
x
(- z y)
z
y
(+ y (+ (* y (/ x z)) x))
y
(+ (* y (/ x z)) x)
(/ x z)
x
z
(* z (+ (* x (neg (/ 1 y))) -1))
z
(+ (* x (neg (/ 1 y))) -1)
x
(neg (/ 1 y))
(/ 1 y)
1
y
-1

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

localize57.0ms (0.6%)

Memory

6.7MiB live, 126.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(neg.f64 (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.8%	(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
✓	accuracy	95.4%	(*.f64 z (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y (fma.f64 y (/.f64 x z) x))
✓	accuracy	96.2%	(fma.f64 y (/.f64 x z) x)
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(/.f64 x (-.f64 z y))
✓	accuracy	89.0%	(*.f64 (/.f64 x (-.f64 z y)) z)
✓	accuracy	100.0%	(+.f64 y x)

Samples

38.0ms

256×

valid

Compiler

Compiled 74 to 20 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 6.0ms (29% of total)

ival-mult: 6.0ms (29% of total)

ival-div: 5.0ms (24.2% of total)

ival-sub: 1.0ms (4.8% of total)

ival-neg: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

0.1MiB live, 38.9MiB allocated

Counts

11 → 300

Calls

Call 1

Inputs
#<alt (+ y x)>
#<alt (/ x (- z y))>
#<alt (- z y)>
#<alt (* (/ x (- z y)) z)>
#<alt (+ y (+ (* y (/ x z)) x))>
#<alt (+ (* y (/ x z)) x)>
#<alt (/ x z)>
#<alt (+ (* x (neg (/ 1 y))) -1)>
#<alt (neg (/ 1 y))>
#<alt (/ 1 y)>
#<alt (* z (+ (* x (neg (/ 1 y))) -1))>

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

Calls

75 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* x (neg (/ 1 y))) -1)
1.0ms	y	@	-inf	(/ x (- z y))
1.0ms	z	@	0	(* z (+ (* x (neg (/ 1 y))) -1))
1.0ms	x	@	inf	(/ x (- z y))
0.0ms	x	@	0	(/ x (- z y))

rewrite343.0ms (3.5%)

Memory

17.8MiB live, 697.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 092×	`accelerator-lowering-fma.f32`
6 092×	`accelerator-lowering-fma.f64`
4 000×	`-lowering-.f32`
4 000×	`-lowering-.f64`
3 710×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
1	121	55
2	957	55
0	8337	53

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 605

Calls

Call 1

Inputs
(+ y x)
(/ x (- z y))
(- z y)
(* (/ x (- z y)) z)
(+ y (+ (* y (/ x z)) x))
(+ (* y (/ x z)) x)
(/ x z)
(+ (* x (neg (/ 1 y))) -1)
(neg (/ 1 y))
(/ 1 y)
(* z (+ (* x (neg (/ 1 y))) -1))

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

simplify462.0ms (4.6%)

Memory

-26.6MiB live, 649.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 892×	`accelerator-lowering-fma.f32`
11 892×	`accelerator-lowering-fma.f64`
3 816×	`-lowering-.f32`
3 816×	`-lowering-.f64`
2 512×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	2211
1	875	2109
2	2440	2000
3	6903	1992
0	8041	1885

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

eval124.0ms (1.2%)

Memory: 21.3MiB live, 207.9MiB allocated
Compiler: Compiled 17 590 to 1 899 computations (89.2% saved)

prune154.0ms (1.5%)

Memory

-7.7MiB live, 230.5MiB allocated

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	899	6	905
Fresh	4	5	9
Picked	1	4	5
Done	0	5	5
Total	904	20	924

Accuracy

100.0%

Counts

924 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.0%	(fma.f64 y (/.f64 x z) x)
✓	87.2%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	42.1%	(/.f64 (*.f64 x z) (-.f64 z y))
	50.0%	(/.f64 z (/.f64 (-.f64 z y) x))
	36.8%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	53.0%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	35.6%	(-.f64 #s(literal 0 binary64) z)
✓	48.6%	(+.f64 y (fma.f64 y (/.f64 x z) x))
✓	49.7%	(+.f64 y x)
	46.2%	(*.f64 (/.f64 y (-.f64 z y)) z)
✓	49.5%	(*.f64 (/.f64 x (-.f64 z y)) z)
	34.7%	(*.f64 (/.f64 x z) z)
✓	87.1%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
▶	49.1%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
	42.0%	(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
	49.1%	(*.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64)))
✓	49.1%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
▶	53.5%	(*.f64 x (/.f64 z (-.f64 z y)))
✓	14.3%	y
✓	38.2%	x

Compiler

Compiled 297 to 191 computations (35.7% saved)

simplify186.0ms (1.9%)

Memory

38.3MiB live, 155.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	-64	(*.f64 x z)
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 (*.f64 x z) (-.f64 z y))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(fma.f64 y (/.f64 x z) x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	-64	(*.f64 x (/.f64 z (-.f64 z y)))
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 z (-.f64 z y))

Rules

2 912×	`accelerator-lowering-fma.f32`
2 912×	`accelerator-lowering-fma.f64`
904×	`-lowering-.f32`
904×	`-lowering-.f64`
662×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
1	38	75
2	75	75
3	137	75
4	255	75
5	398	75
6	623	75
7	1124	75
8	2635	75
9	3329	75
10	3448	75
11	3481	75
12	3482	75
13	3482	75
14	3542	75
15	3566	75
16	3566	75
0	3566	74

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (/ z (- z y)))
x
(/ z (- z y))
z
(- z y)
y
(- 0 z)
0
z
(+ (* y (/ x z)) x)
y
(/ x z)
x
z
(/ (* x z) (- z y))
(* x z)
x
z
(- z y)
y
(* (+ 1 (/ y z)) (+ x y))
(+ 1 (/ y z))
1
(/ y z)
y
z
(+ x y)
x

Outputs
(* x (/ z (- z y)))
(fma.f64 z (/.f64 x (-.f64 z y)) #s(literal 0 binary64))
x
(/ z (- z y))
(/.f64 z (-.f64 z y))
z
(- z y)
(-.f64 z y)
y
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(+ (* y (/ x z)) x)
(fma.f64 x (/.f64 y z) x)
y
(/ x z)
(/.f64 x z)
x
z
(/ (* x z) (- z y))
(fma.f64 z (/.f64 x (-.f64 z y)) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
x
z
(- z y)
(-.f64 z y)
y
(* (+ 1 (/ y z)) (+ x y))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y) #s(literal 0 binary64))
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(/ y z)
(/.f64 y z)
y
z
(+ x y)
(+.f64 x y)
x

localize74.0ms (0.7%)

Memory

-39.6MiB live, 102.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	82.4%	(/.f64 (*.f64 x z) (-.f64 z y))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	96.2%	(fma.f64 y (/.f64 x z) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(/.f64 z (-.f64 z y))
✓	accuracy	96.6%	(*.f64 x (/.f64 z (-.f64 z y)))

Samples

38.0ms

256×

valid

Compiler

Compiled 77 to 20 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 7.0ms (36.3% of total)

ival-mult: 6.0ms (31.1% of total)

ival-sub: 3.0ms (15.6% of total)

ival-add: 3.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

12 → 324

Calls

Call 1

Inputs
#<alt (/ z (- z y))>
#<alt (- z y)>
#<alt (* x (/ z (- z y)))>
#<alt (- 0 z)>
#<alt (+ (* y (/ x z)) x)>
#<alt (/ x z)>
#<alt (/ (* x z) (- z y))>
#<alt (* x z)>
#<alt (+ 1 (/ y z))>
#<alt (/ y z)>
#<alt (+ x y)>
#<alt (* (+ 1 (/ y z)) (+ x y))>

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

Calls

81 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x z)
0.0ms	y	@	-inf	(* (+ 1 (/ y z)) (+ x y))
0.0ms	x	@	0	(* (+ 1 (/ y z)) (+ x y))
0.0ms	z	@	0	(* (+ 1 (/ y z)) (+ x y))
0.0ms	x	@	-inf	(* x z)

rewrite458.0ms (4.6%)

Memory

-10.7MiB live, 660.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 052×	`accelerator-lowering-fma.f32`
7 052×	`accelerator-lowering-fma.f64`
4 302×	`-lowering-.f32`
4 302×	`-lowering-.f64`
3 632×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	114	57
2	984	57
0	9078	56

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 914

Calls

Call 1

Inputs
(/ z (- z y))
(- z y)
(* x (/ z (- z y)))
(- 0 z)
(+ (* y (/ x z)) x)
(/ x z)
(/ (* x z) (- z y))
(* x z)
(+ 1 (/ y z))
(/ y z)
(+ x y)
(* (+ 1 (/ y z)) (+ x y))

Outputs
(+.f64 (/.f64 z (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(+.f64 (/.f64 z (-.f64 z y)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(+.f64 #s(literal 0 binary64) (/.f64 z (-.f64 z y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)) (/.f64 z (-.f64 z y)))
(+.f64 (.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (fma.f64 z z #s(literal 0 binary64))) (.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (*.f64 y (+.f64 z y))))
(+.f64 (.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (.f64 y (+.f64 z y))) (.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y))) (fma.f64 z z #s(literal 0 binary64))))
(+.f64 (.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (fma.f64 z z (.f64 y y))) (.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (.f64 z y)))
(+.f64 (.f64 (/.f64 z (.f64 (-.f64 z y) (+.f64 z y))) z) (.f64 (/.f64 z (.f64 (-.f64 z y) (+.f64 z y))) y))
(+.f64 (.f64 (/.f64 z (.f64 (-.f64 z y) (+.f64 z y))) y) (.f64 (/.f64 z (.f64 (-.f64 z y) (+.f64 z y))) z))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (/.f64 z (-.f64 z y)))
(+.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y)))) (.f64 (.f64 y (+.f64 z y)) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))))
(+.f64 (.f64 (.f64 y (+.f64 z y)) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y)))) (.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))))
(+.f64 (.f64 (fma.f64 z z (.f64 y y)) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y)))) (.f64 (.f64 z y) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y)))))
(+.f64 (.f64 z (/.f64 z (.f64 (-.f64 z y) (+.f64 z y)))) (.f64 y (/.f64 z (.f64 (-.f64 z y) (+.f64 z y)))))
(+.f64 (.f64 y (/.f64 z (.f64 (-.f64 z y) (+.f64 z y)))) (.f64 z (/.f64 z (.f64 (-.f64 z y) (+.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z (-.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 y z) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (-.f64 y z) (fma.f64 z z #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 y z) z)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 (-.f64 y z) z)))
(fma.f64 z (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(fma.f64 z (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(fma.f64 z (/.f64 z (.f64 (-.f64 z y) (+.f64 z y))) (.f64 y (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y)))))
(fma.f64 y (/.f64 z (.f64 (-.f64 z y) (+.f64 z y))) (.f64 z (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y)))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 z (-.f64 z y)))
(fma.f64 #s(literal 1 binary64) (/.f64 z (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 z (-.f64 z y)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (.f64 (.f64 y (+.f64 z y)) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y)))))
(fma.f64 (.f64 y (+.f64 z y)) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64) (/.f64 z (-.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) z)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) z)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(fma.f64 #s(literal -1 binary64) (/.f64 z (-.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 z (-.f64 y z)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(fma.f64 (.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) (fma.f64 z z #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(fma.f64 (.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) (fma.f64 z z #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(fma.f64 (fma.f64 z z (.f64 y y)) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (.f64 (.f64 z y) (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))))
(fma.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (fma.f64 z z #s(literal 0 binary64)) (.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (.f64 y (+.f64 z y))))
(fma.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (.f64 y (+.f64 z y)) (.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (fma.f64 z z #s(literal 0 binary64))))
(fma.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (fma.f64 z (+.f64 z y) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (fma.f64 z (+.f64 z y) (.f64 y y)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(fma.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (fma.f64 z z (.f64 y y)) (.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (*.f64 z y)))
(fma.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (.f64 y y)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
(fma.f64 (/.f64 z (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (.f64 y y)))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(fma.f64 (/.f64 z (.f64 (-.f64 z y) (+.f64 z y))) z (.f64 (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y))) y))
(fma.f64 (/.f64 z (.f64 (-.f64 z y) (+.f64 z y))) y (.f64 (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y))) z))
(fma.f64 (/.f64 z (.f64 (-.f64 z y) (+.f64 z y))) (+.f64 z y) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 0 binary64)))
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(/.f64 (-.f64 (.f64 (.f64 (+.f64 y x) (/.f64 y z)) (.f64 (+.f64 y x) (/.f64 y z))) (.f64 (+.f64 y x) (+.f64 y x))) (-.f64 (*.f64 (+.f64 y x) (/.f64 y z)) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (+.f64 y x) (+.f64 y x)) (.f64 (.f64 (/.f64 y z) (+.f64 y x)) (.f64 (/.f64 y z) (+.f64 y x)))) (-.f64 (+.f64 y x) (*.f64 (/.f64 y z) (+.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 y z) (+.f64 y x)) (.f64 (/.f64 y z) (+.f64 y x))) (.f64 (+.f64 y x) (+.f64 y x))) (-.f64 (*.f64 (/.f64 y z) (+.f64 y x)) (+.f64 y x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (fma.f64 z z #s(literal 0 binary64)))) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))))
(.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (fma.f64 z z #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (fma.f64 z z #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (fma.f64 (fma.f64 y (/.f64 x z) x) (.f64 (fma.f64 y (/.f64 x z) x) (fma.f64 y (/.f64 x z) x)) (.f64 (fma.f64 y (/.f64 y z) y) (.f64 (fma.f64 y (/.f64 y z) y) (fma.f64 y (/.f64 y z) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (/.f64 x z) x) (fma.f64 y (/.f64 x z) x) (*.f64 (fma.f64 y (/.f64 y z) y) (-.f64 (fma.f64 y (/.f64 y z) y) (fma.f64 y (/.f64 x z) x))))))
(.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))) (/.f64 z (-.f64 z y)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64)))) (+.f64 y x)) (/.f64 z (-.f64 z y)))
(.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

simplify493.0ms (5%)

Memory

19.9MiB live, 729.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 138×	`accelerator-lowering-fma.f32`
12 138×	`accelerator-lowering-fma.f64`
4 300×	`-lowering-.f32`
4 300×	`-lowering-.f64`
3 504×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	2463
1	962	2358
2	2744	2170
0	8445	2053

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval255.0ms (2.6%)

Memory: 35.7MiB live, 405.6MiB allocated
Compiler: Compiled 26 269 to 2 300 computations (91.2% saved)

prune209.0ms (2.1%)

Memory

-32.0MiB live, 421.9MiB allocated

Pruning

22 alts after pruning (9 fresh and 13 done)

	Pruned	Kept	Total
New	1 329	4	1 333
Fresh	1	5	6
Picked	1	4	5
Done	0	9	9
Total	1 331	22	1 353

Accuracy

100.0%

Counts

1 353 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.9%	(fma.f64 y (/.f64 y z) y)
✓	37.0%	(fma.f64 y (/.f64 x z) x)
✓	87.2%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	2.7%	(/.f64 (*.f64 y y) z)
✓	42.1%	(/.f64 (*.f64 x z) (-.f64 z y))
	50.0%	(/.f64 z (/.f64 (-.f64 z y) x))
	36.8%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	53.0%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	48.6%	(+.f64 y (fma.f64 y (/.f64 x z) x))
✓	49.7%	(+.f64 y x)
	46.2%	(*.f64 (/.f64 y (-.f64 z y)) z)
✓	49.5%	(*.f64 (/.f64 x (-.f64 z y)) z)
	34.7%	(*.f64 (/.f64 x z) z)
	42.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (.f64 z x))
✓	87.1%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
✓	49.1%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
	49.1%	(*.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64)))
✓	49.1%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	53.5%	(*.f64 x (/.f64 z (-.f64 z y)))
	35.6%	(neg.f64 z)
✓	14.3%	y
✓	38.2%	x

Compiler

Compiled 472 to 212 computations (55.1% saved)

regimes63.0ms (0.6%)

Memory

17.4MiB live, 55.6MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 (/.f64 x z) z)
(/.f64 (*.f64 y y) z)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(*.f64 (/.f64 y (-.f64 z y)) z)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (-.f64 z y))
(+.f64 y (fma.f64 y (/.f64 x z) x))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(*.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (+.f64 x y))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z)) x)
(*.f64 z (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (.f64 z x))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 z (/.f64 (-.f64 z y) x))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
(.f64 (.f64 z (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))) (+.f64 x y))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 x y))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))

Outputs

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

(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x))))

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

Calls

4 calls:

31.0ms	y
10.0ms	z
10.0ms	x
10.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Results

Accuracy	Segments	Branch
87.2%	1	`x`
94.8%	3	`y`
93.9%	3	`z`
99.9%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 (/.f64 x z) z)
(/.f64 (*.f64 y y) z)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(*.f64 (/.f64 y (-.f64 z y)) z)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (-.f64 z y))
(+.f64 y (fma.f64 y (/.f64 x z) x))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(*.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (+.f64 x y))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z)) x)
(*.f64 z (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (.f64 z x))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 z (/.f64 (-.f64 z y) x))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.9%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes64.0ms (0.6%)

Memory

-30.9MiB live, 45.8MiB allocated

Counts

28 → 4

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 (/.f64 x z) z)
(/.f64 (*.f64 y y) z)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(*.f64 (/.f64 y (-.f64 z y)) z)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (-.f64 z y))
(+.f64 y (fma.f64 y (/.f64 x z) x))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(*.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (+.f64 x y))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z)) x)
(*.f64 z (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (.f64 z x))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 z (/.f64 (-.f64 z y) x))

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

Calls

3 calls:

42.0ms	y
12.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
73.5%	3	`x`
78.2%	3	`z`
81.2%	4	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

25 → 4

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 (/.f64 x z) z)
(/.f64 (*.f64 y y) z)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(*.f64 (/.f64 y (-.f64 z y)) z)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (-.f64 z y))
(+.f64 y (fma.f64 y (/.f64 x z) x))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(*.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (+.f64 x y))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z)) x)
(*.f64 z (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (.f64 z x))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
81.2%	4	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

17 → 4

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 (/.f64 x z) z)
(/.f64 (*.f64 y y) z)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(*.f64 (/.f64 y (-.f64 z y)) z)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) (-.f64 z y))
(+.f64 y (fma.f64 y (/.f64 x z) x))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)

Outputs
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 y (-.f64 z y)) z)
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
81.2%	4	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 (/.f64 x z) z)
(/.f64 (*.f64 y y) z)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 x (-.f64 z y)) z)

Outputs
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
79.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 (/.f64 x z) z)
(/.f64 (*.f64 y y) z)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))

Outputs
(neg.f64 z)
(*.f64 x (/.f64 z (-.f64 z y)))
(neg.f64 z)

Calls

3 calls:

4.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
66.3%	4	`x`
66.0%	3	`z`
71.4%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 (/.f64 x z) z)
(/.f64 (*.f64 y y) z)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)

Outputs
(neg.f64 z)
(+.f64 y x)
(neg.f64 z)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
69.9%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-21.5MiB live, 17.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 z)

Outputs
(neg.f64 z)
x
(neg.f64 z)

Calls

3 calls:

3.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
50.4%	3	`x`
56.4%	3	`z`
62.6%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
y

Outputs
x
y
x

Calls

3 calls:

2.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
41.5%	3	`x`
38.2%	1	`z`
39.7%	2	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
38.2%	1	`y`
38.2%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	3.0280482350039193e-292
0.0ms	-3.3850485516299527e-254	-1.3271783985233974e-282

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	3.0280482350039193e-292
0.0ms	-3.3850485516299527e-254	-1.3271783985233974e-282

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch48.0ms (0.5%)

Memory

-73.3MiB live, 85.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9.645584010270787e+100	3.329995994852161e+103
11.0ms	5.974737251975581	7405.442757086953
13.0ms	-3.324782210539769e-15	-9.405711513943125e-23

Samples

22.0ms

400×

valid

Compiler

Compiled 582 to 398 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (48.6% of total)

ival-sub: 2.0ms (19.4% of total)

ival-add: 2.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Memory

38.5MiB live, 75.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9.645584010270787e+100	3.329995994852161e+103
12.0ms	5.974737251975581	7405.442757086953
12.0ms	-3.324782210539769e-15	-9.405711513943125e-23

Samples

21.0ms	399×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 582 to 381 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (49.4% of total)

ival-add: 2.0ms (19.8% of total)

ival-sub: 2.0ms (19.8% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

bsearch44.0ms (0.4%)

Memory

-26.3MiB live, 91.5MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.645584010270787e+100	3.329995994852161e+103
11.0ms	5.974737251975581	7405.442757086953
16.0ms	-3.324782210539769e-15	-9.405711513943125e-23

Samples

24.0ms

400×

valid

Compiler

Compiled 565 to 381 computations (32.6% saved)

Precisions

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

ival-div: 9.0ms (63.7% of total)

ival-sub: 2.0ms (14.2% of total)

ival-add: 2.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

-6.1MiB live, 72.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2183447.4036284806	2.1748480904347677e+20
13.0ms	-3.324782210539769e-15	-9.405711513943125e-23

Samples

15.0ms

304×

valid

Compiler

Compiled 433 to 299 computations (30.9% saved)

Precisions

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

ival-div: 4.0ms (51% of total)

ival-add: 2.0ms (25.5% of total)

ival-sub: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

24.4MiB live, 62.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.445123623388111e+34	6.271501904637843e+39
11.0ms	-3.324782210539769e-15	-9.405711513943125e-23

Samples

15.0ms

288×

valid

Compiler

Compiled 321 to 230 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (45.6% of total)

ival-add: 3.0ms (34.2% of total)

ival-sub: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Memory

4.3MiB live, 43.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.445123623388111e+34	6.271501904637843e+39
11.0ms	-4.605102388569763e-7	-6.522511365895874e-9

Samples

14.0ms

256×

valid

Compiler

Compiled 223 to 174 computations (22% saved)

Precisions

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

ival-div: 3.0ms (47.6% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

12.2MiB live, 51.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2183447.4036284806	2.1748480904347677e+20
12.0ms	-3.324782210539769e-15	-9.405711513943125e-23

Samples

15.0ms

304×

valid

Compiler

Compiled 224 to 185 computations (17.4% saved)

Precisions

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

ival-div: 4.0ms (53.1% of total)

ival-add: 2.0ms (26.5% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Memory

-34.8MiB live, 43.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.005660125575894e-67	2.1574799532078013e-62
8.0ms	-8.381567410984901e-197	-8.305639384974288e-198

Samples

12.0ms

240×

valid

Compiler

Compiled 165 to 134 computations (18.8% saved)

Precisions

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

ival-div: 4.0ms (60.3% of total)

ival-sub: 1.0ms (15.1% of total)

ival-add: 1.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.2%)

Memory

30.6MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
24×	`+-commutative_binary64`
24×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	287
1	129	287
2	152	287
3	169	287
4	181	287
5	183	287

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -7301667457314601/81129638414606681695789005144064 binary64)) (.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))) (if (<=.f64 y #s(literal 2300 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 489999999999999982537721044847881920996674830927573001747996142651830323562787345374104321639273463808 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (*.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -4259306016766851/10141204801825835211973625643008 binary64)) (.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))) (if (<=.f64 y #s(literal 4500 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 y #s(literal 1119999999999999924563131216096112808322239031632963996819980411965060922396087011343702948565955379200 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -5476250592985951/20282409603651670423947251286016 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal 960 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 y #s(literal 1700000000000000023149577102140402537782413642223660022978012006712853548765339960860481327185241571328 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(if (<=.f64 y #s(literal -2855763272194155/5192296858534827628530496329220096 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal 390000000 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(if (<=.f64 y #s(literal -5815372481559007/10384593717069655257060992658440192 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 72000000000000000693102649494470656 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (neg.f64 z)))
(if (<=.f64 y #s(literal -4061235175267895/9444732965739290427392 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 2349999999999999944735847609781977088 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -1077503010193995/1267650600228229401496703205376 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 22500000000000 binary64)) x (neg.f64 z)))
(if (<=.f64 x #s(literal -3450649151415733/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) x (if (<=.f64 x #s(literal 231450785987831/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) y x))
x

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y x)))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -7301667457314601/81129638414606681695789005144064 binary64)) (.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))) (if (<=.f64 y #s(literal 2300 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 489999999999999982537721044847881920996674830927573001747996142651830323562787345374104321639273463808 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (*.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -7301667457314601/81129638414606681695789005144064 binary64)) (.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))) (if (<=.f64 y #s(literal 2300 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 489999999999999982537721044847881920996674830927573001747996142651830323562787345374104321639273463808 binary64)) (.f64 z (/.f64 y (-.f64 z y))) (*.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -4259306016766851/10141204801825835211973625643008 binary64)) (.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))) (if (<=.f64 y #s(literal 4500 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 y #s(literal 1119999999999999924563131216096112808322239031632963996819980411965060922396087011343702948565955379200 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -4259306016766851/10141204801825835211973625643008 binary64)) (.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))) (if (<=.f64 y #s(literal 4500 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 y #s(literal 1119999999999999924563131216096112808322239031632963996819980411965060922396087011343702948565955379200 binary64)) (.f64 z (/.f64 y (-.f64 z y))) (.f64 z (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -5476250592985951/20282409603651670423947251286016 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal 960 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 y #s(literal 1700000000000000023149577102140402537782413642223660022978012006712853548765339960860481327185241571328 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(if (<=.f64 y #s(literal -5476250592985951/20282409603651670423947251286016 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal 960 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 y #s(literal 1700000000000000023149577102140402537782413642223660022978012006712853548765339960860481327185241571328 binary64)) (.f64 z (/.f64 y (-.f64 z y))) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(if (<=.f64 y #s(literal -2855763272194155/5192296858534827628530496329220096 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal 390000000 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(if (<=.f64 y #s(literal -5815372481559007/10384593717069655257060992658440192 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 72000000000000000693102649494470656 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (neg.f64 z)))
(if (<=.f64 y #s(literal -5815372481559007/10384593717069655257060992658440192 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 y #s(literal 72000000000000000693102649494470656 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (-.f64 #s(literal 0 binary64) z)))
(if (<=.f64 y #s(literal -4061235175267895/9444732965739290427392 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 2349999999999999944735847609781977088 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -4061235175267895/9444732965739290427392 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 y #s(literal 2349999999999999944735847609781977088 binary64)) (+.f64 x y) (-.f64 #s(literal 0 binary64) z)))
(if (<=.f64 y #s(literal -1077503010193995/1267650600228229401496703205376 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 22500000000000 binary64)) x (neg.f64 z)))
(if (<=.f64 y #s(literal -1077503010193995/1267650600228229401496703205376 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 y #s(literal 22500000000000 binary64)) x (-.f64 #s(literal 0 binary64) z)))
(if (<=.f64 x #s(literal -3450649151415733/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) x (if (<=.f64 x #s(literal 231450785987831/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) y x))
x

soundness1.2s (11.8%)

Memory

-0.9MiB live, 963.9MiB allocated

Rules

17 244×	`accelerator-lowering-fma.f32`
17 244×	`accelerator-lowering-fma.f64`
15 950×	`accelerator-lowering-fma.f32`
15 950×	`accelerator-lowering-fma.f64`
7 052×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	114	57
2	984	57
0	9078	56
0	18	59
1	121	55
2	957	55
0	8337	53
0	18	68
1	128	66
2	1142	66
0	8345	65
0	181	958
1	589	915
2	1842	852
3	7158	833
0	8263	790
0	422	2740
1	1354	2631
2	3874	2435
0	8556	2332

Stop Event

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

Compiler

Compiled 625 to 297 computations (52.5% saved)

preprocess129.0ms (1.3%)

Memory: -7.4MiB live, 225.1MiB allocated
Compiler: Compiled 738 to 234 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
1	13	24
2	21	24
3	30	24
4	46	24
5	62	24
6	83	24
7	111	24
8	149	24
9	208	24
10	336	24
11	450	24
12	630	24
13	782	24
14	855	24
15	896	24
16	898	24
17	902	24
0	902	24

Iter	Nodes	Cost
0	8	24
1	13	24
2	21	24
3	30	24
4	46	24
5	62	24
6	83	24
7	111	24
8	149	24
9	208	24
10	336	24
11	450	24
12	630	24
13	782	24
14	855	24
15	896	24
16	898	24
17	902	24
0	902	24

analyze131.0ms (1.3%)

sample1.1s (11.2%)

preprocess172.0ms (1.7%)

explain129.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify42.0ms (0.4%)

localize28.0ms (0.3%)

series9.0ms (0.1%)

rewrite258.0ms (2.6%)

simplify584.0ms (5.9%)

eval78.0ms (0.8%)

prune102.0ms (1%)

simplify98.0ms (1%)

localize60.0ms (0.6%)

series27.0ms (0.3%)

rewrite754.0ms (7.6%)

simplify1.4s (14.1%)

eval135.0ms (1.4%)

prune116.0ms (1.2%)

simplify101.0ms (1%)

localize57.0ms (0.6%)

series15.0ms (0.2%)

rewrite343.0ms (3.5%)

simplify462.0ms (4.6%)

eval124.0ms (1.2%)

prune154.0ms (1.5%)

simplify186.0ms (1.9%)

localize74.0ms (0.7%)

series7.0ms (0.1%)

rewrite458.0ms (4.6%)

simplify493.0ms (5%)

eval255.0ms (2.6%)

prune209.0ms (2.1%)

regimes63.0ms (0.6%)

regimes11.0ms (0.1%)

regimes64.0ms (0.6%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch48.0ms (0.5%)

bsearch37.0ms (0.4%)

bsearch44.0ms (0.4%)

bsearch29.0ms (0.3%)

bsearch27.0ms (0.3%)

bsearch24.0ms (0.2%)

bsearch27.0ms (0.3%)

bsearch22.0ms (0.2%)

simplify15.0ms (0.2%)

soundness1.2s (11.8%)

preprocess129.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
1	13	24
2	21	24
3	30	24
4	46	24
5	62	24
6	83	24
7	111	24
8	149	24
9	208	24
10	336	24
11	450	24
12	630	24
13	782	24
14	855	24
15	896	24
16	898	24
17	902	24
0	902	24