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

analyze122.0ms (1.5%)

Memory

-17.5MiB live, 120.3MiB 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 (13.3%)

Memory

8.7MiB live, 1 265.9MiB allocated

Samples

758.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

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

ival-div: 300.0ms (68.3% of total)

ival-add: 74.0ms (16.8% of total)

ival-sub: 52.0ms (11.8% 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

preprocess133.0ms (1.6%)

Memory

40.0MiB live, 114.2MiB 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)))

explain102.0ms (1.2%)

Memory

4.0MiB live, 239.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
36	-	-	`(/.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	36	0
↳	`(/.f64 y z)`	overflow	36
↳	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`	overflow	36

Confusion

	Predicted +	Predicted -
+	36	0
-	0	220

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	0
-	0	0	220

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	220
1	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 9.0ms (60.1% of total)

ival-add: 3.0ms (20% of total)

ival-sub: 2.0ms (13.4% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.7%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify37.0ms (0.5%)

Memory

-4.5MiB live, 34.4MiB 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

-24.2MiB live, 56.8MiB 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	86.7%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Samples

16.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-div: 3.0ms (46.5% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% 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

26.7MiB live, 26.7MiB 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	x	@	0	(/ (+ x y) (- 1 (/ y z)))
1.0ms	x	@	inf	(/ (+ x y) (- 1 (/ y z)))
1.0ms	z	@	inf	(/ (+ x y) (- 1 (/ y z)))
0.0ms	y	@	-inf	(+ x y)

rewrite373.0ms (4.5%)

Memory

-53.4MiB live, 494.1MiB 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)))

simplify503.0ms (6.1%)

Memory

16.1MiB live, 759.9MiB 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)

eval48.0ms (0.6%)

Memory: 30.5MiB live, 104.4MiB allocated
Compiler: Compiled 10 558 to 999 computations (90.5% saved)

prune64.0ms (0.8%)

Memory

-13.3MiB live, 115.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	433	11	444
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	434	11	445

Accuracy

100.0%

Counts

445 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.6%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
	39.0%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	49.3%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	46.6%	(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
▶	37.9%	(-.f64 #s(literal 0 binary64) z)
	51.3%	(+.f64 y x)
	48.9%	(*.f64 (/.f64 y (-.f64 z y)) z)
▶	44.4%	(*.f64 (/.f64 x (-.f64 z y)) z)
	86.6%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
	49.3%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
▶	37.1%	x

Compiler

Compiled 214 to 144 computations (32.7% saved)

simplify184.0ms (2.2%)

Memory

3.0MiB live, 121.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1 952×	`accelerator-lowering-fma.f32`
1 952×	`accelerator-lowering-fma.f64`
936×	`-lowering-.f32`
936×	`-lowering-.f64`
896×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	83
1	45	81
2	78	80
3	156	78
4	346	78
5	1180	78
6	2580	78
7	3727	78
8	4196	78
9	4505	78
10	4574	78
11	4580	78
12	4584	78
13	4588	78
14	4588	78
15	4608	78
16	4616	78
0	4616	78

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize58.0ms (0.7%)

Memory

-12.4MiB live, 146.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(*.f64 z (+.f64 z x))
✓	accuracy	93.5%	(/.f64 (*.f64 z (+.f64 z x)) y)
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(/.f64 x (-.f64 z y))
✓	accuracy	84.5%	(*.f64 (/.f64 x (-.f64 z y)) z)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
✓	accuracy	86.7%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 86 to 21 computations (75.6% saved)

Precisions

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

ival-div: 9.0ms (42.9% of total)

ival-mult: 5.0ms (23.8% of total)

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

ival-sub: 3.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Memory

20.0MiB live, 58.8MiB allocated

Counts

12 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(- (- 0 z) (/ (* z (+ z x)) y))
2.0ms	z	@	0	(* (/ x (- z y)) z)
2.0ms	z	@	0	(/ -1 z)
1.0ms	z	@	inf	(- (- 0 z) (/ (* z (+ z x)) y))
1.0ms	x	@	inf	(/ x (- z y))

rewrite403.0ms (4.9%)

Memory

-9.5MiB live, 621.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 194×	`/-lowering-/.f32`
5 194×	`/-lowering-/.f64`
4 688×	`-lowering-.f32`
4 688×	`-lowering-.f64`
3 708×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	66
1	135	64
2	1275	64
0	8404	63

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 595

Calls

Call 1

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

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

simplify473.0ms (5.7%)

Memory

-6.4MiB live, 681.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 174×	`accelerator-lowering-fma.f32`
13 174×	`accelerator-lowering-fma.f64`
5 304×	`-lowering-.f32`
5 304×	`-lowering-.f64`
3 370×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	429	3121
1	1411	2942
2	4131	2658
0	8167	2553

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

Outputs
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(/ (+ z (* -1 y)) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ (+ z (* -1 y)) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ (+ z (* -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))
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))
(* -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))
(/ y (+ 1 (* -1 (/ y z))))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ (/ x (+ 1 (* -1 (/ y z)))) (/ y (+ 1 (* -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 (* -1 (/ y z)))) (/ y (+ 1 (* -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 (* -1 (/ y z)))) (/ y (+ 1 (* -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 (* -1 (/ y z))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 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))
(* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 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))
(* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 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))
(/ x (+ 1 (* -1 (/ y z))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 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 (* -1 (/ y z)))))) (/ 1 (+ 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 (* -1 (/ y z)))))) (/ 1 (+ 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))
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 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y 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 (/.f64 y z) #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 z (-.f64 #s(literal -1 binary64) (/.f64 (+.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 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 z x)) (.f64 y y))) (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 z x) 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)))
(fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (.f64 (/.f64 z (.f64 y y)) (-.f64 (-.f64 #s(literal 0 binary64) x) z)) (-.f64 (.f64 z (/.f64 z y)) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (.f64 z (/.f64 z y)))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (+.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 (fma.f64 z (/.f64 (+.f64 z x) y) x))) 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 (*.f64 z (+.f64 y x)) (-.f64 #s(literal 0 binary64) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(*.f64 z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) 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 (-.f64 (fma.f64 z (.f64 (/.f64 z (.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) (/.f64 (+.f64 y 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 (-.f64 (fma.f64 z (fma.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 x (.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 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) (/.f64 (+.f64 y 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 x (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) y))
(- (+ 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 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (+.f64 y x) (.f64 z (*.f64 z z))) #s(literal 1 binary64)) 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 (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+.f64 x (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) y))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(+.f64 y (+.f64 x (/.f64 (+.f64 (/.f64 (.f64 y (.f64 (+.f64 y x) (fma.f64 y (/.f64 y z) y))) z) (*.f64 y (+.f64 y x))) 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)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
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)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
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(/ -1 z)
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(/ -1 z)
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(/ -1 z)
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(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
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(* -1 z)
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(/ x (- z y))
(/.f64 x (-.f64 z y))
(/ x (- z y))
(/.f64 x (-.f64 z y))
(/ x (- z y))
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(/ x (- z y))
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(/ 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 (-.f64 #s(literal -1 binary64) (/.f64 z y))) y)
(+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (.f64 y y)))) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))
(fma.f64 z (fma.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (/.f64 x (.f64 y (.f64 y y))))) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y y))) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/ x z)
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(/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z)
(/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) 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 x (fma.f64 (.f64 y y) (/.f64 y (.f64 z (.f64 z z))) #s(literal 1 binary64)) (.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y))) z)
(/ x z)
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(/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) 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 (fma.f64 y x (/.f64 (.f64 x (.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))))) z)) z)) z)
(/ x z)
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(+ (/ x z) (/ (* x y) (pow z 2)))
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(+ (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (/ x z))
(fma.f64 y (.f64 (/.f64 x (.f64 z z)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 x z))
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(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 x (.f64 (.f64 z z) (.f64 z z))) (/.f64 x (.f64 z (.f64 z z)))) (/.f64 x (.f64 z z))) (/.f64 x z))
(* -1 (/ x y))
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(/ (+ (* -1 x) (* -1 (/ (* x z) y))) y)
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y)
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eval120.0ms (1.5%)

Memory: -0.9MiB live, 237.9MiB allocated
Compiler: Compiled 19 201 to 2 035 computations (89.4% saved)

prune129.0ms (1.6%)

Memory

2.8MiB live, 200.2MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	989	7	996
Fresh	2	4	6
Picked	3	2	5
Done	0	0	0
Total	994	13	1 007

Accuracy

100.0%

Counts

1 007 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.9%	(fma.f64 y (/.f64 x z) x)
▶	38.7%	(/.f64 (*.f64 z x) (-.f64 z y))
	39.0%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	48.6%	(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z x) y))
▶	51.3%	(+.f64 y x)
	3.2%	(*.f64 (/.f64 z z) z)
	48.9%	(*.f64 (/.f64 y (-.f64 z y)) z)
✓	44.4%	(*.f64 (/.f64 x (-.f64 z y)) z)
	44.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) z)
▶	49.3%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
	49.6%	(*.f64 x (/.f64 z (-.f64 z y)))
▶	37.9%	(neg.f64 z)
✓	37.1%	x

Compiler

Compiled 218 to 141 computations (35.3% saved)

simplify85.0ms (1%)

Memory

17.5MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 z x)
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 (*.f64 z x) (-.f64 z y))
✓	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 x z)
✓	cost-diff	0	(fma.f64 y (/.f64 x z) x)
✓	cost-diff	-64	(neg.f64 z)
✓	cost-diff	0	(+.f64 y x)

Rules

960×	`accelerator-lowering-fma.f32`
960×	`accelerator-lowering-fma.f64`
672×	`-lowering-.f32`
672×	`-lowering-.f64`
560×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	31	56
2	52	56
3	90	56
4	177	56
5	389	56
6	982	56
7	1902	56
8	2422	56
9	2552	56
10	2568	56
11	2587	56
12	2599	56
0	2599	55

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize56.0ms (0.7%)

Memory

8.1MiB live, 83.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	85.2%	(/.f64 (*.f64 z x) (-.f64 z y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	accuracy	96.6%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	91.9%	(fma.f64 y (/.f64 x z) x)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(+.f64 y x)

Samples

36.0ms

256×

valid

Compiler

Compiled 57 to 17 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 5.0ms (30.7% of total)

ival-mult: 5.0ms (30.7% of total)

ival-add: 3.0ms (18.4% of total)

ival-sub: 2.0ms (12.3% of total)

ival-neg: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-9.9MiB live, 28.2MiB allocated

Counts

10 → 264

Calls

Call 1

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

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 (* -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 -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 (* -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 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 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 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)>
#<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)>

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ x y)
1.0ms	z	@	0	(* z (- -1 (/ x y)))
1.0ms	x	@	0	(+ (* y (/ x z)) x)
0.0ms	z	@	inf	(* z (- -1 (/ x y)))
0.0ms	x	@	inf	(+ (* y (/ x z)) x)

rewrite688.0ms (8.3%)

Memory

-110.9MiB live, 620.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 712×	`accelerator-lowering-fma.f32`
6 712×	`accelerator-lowering-fma.f64`
4 832×	`-lowering-.f32`
4 832×	`-lowering-.f64`
4 094×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	94	43
2	742	43
0	8558	42

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 533

Calls

Call 1

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

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

simplify361.0ms (4.4%)

Memory

-8.2MiB live, 587.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 828×	`accelerator-lowering-fma.f32`
8 828×	`accelerator-lowering-fma.f64`
4 286×	`-lowering-.f32`
4 286×	`-lowering-.f64`
1 564×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	1464
1	607	1425
2	1748	1333
3	5799	1333
0	8634	1280

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)))
(* -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)
-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)))
(* -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 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))
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 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)
(* 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)

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

eval163.0ms (2%)

Memory: 25.3MiB live, 209.4MiB allocated
Compiler: Compiled 15 010 to 1 451 computations (90.3% saved)

prune120.0ms (1.5%)

Memory

-54.6MiB live, 210.5MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	793	4	797
Fresh	1	5	6
Picked	1	4	5
Done	0	2	2
Total	795	15	810

Accuracy

100.0%

Counts

810 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.5%	(fma.f64 (/.f64 y z) x x)
✓	38.7%	(/.f64 (*.f64 z x) (-.f64 z y))
▶	26.4%	(/.f64 (*.f64 z x) z)
	39.0%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	48.6%	(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z x) y))
✓	51.3%	(+.f64 y x)
▶	49.6%	(*.f64 (/.f64 z (-.f64 z y)) x)
	3.2%	(*.f64 (/.f64 z z) z)
▶	48.9%	(*.f64 (/.f64 y (-.f64 z y)) z)
✓	44.4%	(*.f64 (/.f64 x (-.f64 z y)) z)
▶	44.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) z)
✓	49.3%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	37.9%	(neg.f64 z)
▶	16.2%	y
✓	37.1%	x

Compiler

Compiled 211 to 136 computations (35.5% saved)

simplify171.0ms (2.1%)

Memory

6.9MiB live, 279.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) z)
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 z y))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x)
✓	cost-diff	-64	(*.f64 (/.f64 y (-.f64 z y)) z)
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 y (-.f64 z y))
✓	cost-diff	-64	(*.f64 z x)
✓	cost-diff	1088	(/.f64 (*.f64 z x) z)
✓	cost-diff	-64	(*.f64 (/.f64 z (-.f64 z y)) x)
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 z (-.f64 z y))

Rules

3 176×	`-lowering-.f32`
3 176×	`-lowering-.f64`
1 984×	`accelerator-lowering-fma.f32`
1 984×	`accelerator-lowering-fma.f64`
1 404×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	32	66
2	56	66
3	95	66
4	159	66
5	614	66
6	2695	66
7	6085	66
0	8251	66

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize73.0ms (0.9%)

Memory

25.6MiB live, 107.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 z y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x)
✓	accuracy	84.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) z)
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(/.f64 y (-.f64 z y))
✓	accuracy	89.2%	(*.f64 (/.f64 y (-.f64 z y)) z)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	75.1%	(/.f64 (*.f64 z x) z)
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(/.f64 z (-.f64 z y))
✓	accuracy	96.8%	(*.f64 (/.f64 z (-.f64 z y)) x)

Samples

56.0ms

256×

valid

Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 33.0ms (77.4% of total)

ival-mult: 7.0ms (16.4% of total)

ival-sub: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.4%)

Memory

-21.1MiB live, 18.0MiB allocated

Counts

10 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
25.0ms	y	@	-inf	(/ 1 (- z y))
0.0ms	z	@	0	(/ z (- z y))
0.0ms	y	@	inf	(/ z (- z y))
0.0ms	z	@	-inf	(/ y (- z y))
0.0ms	z	@	inf	(/ z (- z y))

rewrite399.0ms (4.8%)

Memory

18.3MiB live, 611.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 632×	`-lowering-.f32`
4 632×	`-lowering-.f64`
2 734×	`/-lowering-/.f32`
2 734×	`/-lowering-/.f64`
2 352×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	68	52
2	398	48
3	3806	48
0	8349	48

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 974

Calls

Call 1

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

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

simplify483.0ms (5.9%)

Memory

18.9MiB live, 767.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 598×	`accelerator-lowering-fma.f32`
10 598×	`accelerator-lowering-fma.f64`
4 136×	`-lowering-.f32`
4 136×	`-lowering-.f64`
2 732×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2861
1	1347	2607
2	3659	2402
0	8191	2256

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

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

eval255.0ms (3.1%)

Memory: 20.5MiB live, 450.0MiB allocated
Compiler: Compiled 37 052 to 3 729 computations (89.9% saved)

prune248.0ms (3%)

Memory

-20.1MiB live, 476.5MiB allocated

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	1 656	2	1 658
Fresh	1	3	4
Picked	1	4	5
Done	0	6	6
Total	1 658	15	1 673

Accuracy

100.0%

Counts

1 673 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.5%	(fma.f64 (/.f64 y z) x x)
	15.4%	(fma.f64 y (/.f64 y z) y)
✓	38.7%	(/.f64 (*.f64 z x) (-.f64 z y))
✓	26.4%	(/.f64 (*.f64 z x) z)
	48.6%	(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z x) y))
✓	51.3%	(+.f64 y x)
	39.2%	(*.f64 (/.f64 z (-.f64 z y)) y)
✓	49.6%	(*.f64 (/.f64 z (-.f64 z y)) x)
	3.2%	(*.f64 (/.f64 z z) z)
✓	44.4%	(*.f64 (/.f64 x (-.f64 z y)) z)
✓	44.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) z)
✓	49.3%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	37.9%	(neg.f64 z)
✓	16.2%	y
✓	37.1%	x

Compiler

Compiled 290 to 131 computations (54.8% saved)

regimes38.0ms (0.5%)

Memory

-1.6MiB live, 76.0MiB allocated

Counts

25 → 3

Calls

Call 1

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

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

4 calls:

12.0ms	y
9.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
8.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
86.7%	1	`x`
98.3%	3	`y`
95.0%	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)

regimes32.0ms (0.4%)

Memory

-19.6MiB live, 54.8MiB allocated

Counts

22 → 4

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
7.0ms	x
7.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
78.5%	5	`x`
82.0%	5	`z`
83.6%	4	`y`
74.4%	5	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

20 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
83.6%	4	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
69.9%	4	`z`
78.8%	4	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes28.0ms (0.3%)

Memory

-29.3MiB live, 8.9MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
75.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 z)

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.4%	3	`z`
56.1%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
54.7%	3	`x`
65.6%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
y

Outputs
x
y
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.1%	1	`z`
45.5%	3	`x`
37.1%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
38.7%	2	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

-28.6MiB live, 10.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

8.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
37.1%	1	`z`
37.1%	1	`y`
37.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.68129874064867e-270	2.6072641760590228e-263
0.0ms	-2.9794753004420737e-289	-0.0

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch36.0ms (0.4%)

Memory

-3.5MiB live, 71.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	1.1008942890727449e-57	6.58245163801709e-57
11.0ms	-2.9794752988030277e-289	-3.87261274032489e-291
13.0ms	-4.877915608968396e+102	-1.6998227342458557e+87

Samples

20.0ms

368×

valid

Compiler

Compiled 453 to 331 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (44.1% of total)

ival-sub: 4.0ms (35.3% of total)

ival-add: 2.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0.5%)

Memory

5.7MiB live, 92.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.1008942890727449e-57	6.58245163801709e-57
1.0ms	-2.9794752988030277e-289	-3.87261274032489e-291
15.0ms	-4.877915608968396e+102	-1.6998227342458557e+87

Samples

29.0ms

272×

valid

Compiler

Compiled 345 to 246 computations (28.7% saved)

Precisions

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

ival-div: 4.0ms (57.3% of total)

ival-add: 2.0ms (28.7% of total)

ival-sub: 1.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0.5%)

Memory

23.8MiB live, 97.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	7393098231793043000.0	5.99661881071584e+26
9.0ms	-2.9794752988030277e-289	-3.87261274032489e-291
16.0ms	-4.877915608968396e+102	-1.6998227342458557e+87

Samples

21.0ms

416×

valid

Compiler

Compiled 424 to 306 computations (27.8% saved)

Precisions

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

ival-div: 5.0ms (48% of total)

ival-sub: 2.0ms (19.2% of total)

ival-add: 2.0ms (19.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Memory

-8.9MiB live, 70.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.1771237294318373e+101	4.776032470889725e+105
14.0ms	-4.877915608968396e+102	-1.6998227342458557e+87

Samples

20.0ms

288×

valid

Compiler

Compiled 249 to 194 computations (22.1% saved)

Precisions

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

ival-add: 7.0ms (51.6% of total)

ival-div: 4.0ms (29.5% of total)

ival-sub: 3.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

19.0MiB live, 54.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.6845753209668487e-76	2.000299029575258e-71
11.0ms	-8.698166425807724e+52	-2.4038578596063826e+51

Samples

12.0ms

256×

valid

Compiler

Compiled 191 to 158 computations (17.3% saved)

Precisions

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

ival-div: 3.0ms (47.9% of total)

ival-sub: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Memory

-21.8MiB live, 54.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.5707120526135005e-204	1.0814853603117714e-202
13.0ms	-1.7522818734087148e-124	-2.1977898671882774e-131

Samples

14.0ms

256×

valid

Compiler

Compiled 175 to 142 computations (18.9% saved)

Precisions

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

ival-div: 3.0ms (37.5% of total)

ival-add: 3.0ms (37.5% of total)

ival-sub: 1.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify20.0ms (0.2%)

Memory

-4.8MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
14×	`*-commutative_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	177
1	94	177
2	110	177
3	119	177
4	124	177
5	125	177

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 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 1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 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 -1749999999999999928979267798613134780110993156884790019422043267161731865164170244653056 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal -6144458957048931/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (+.f64 y x) (if (<=.f64 y #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(if (<=.f64 y #s(literal -1700000000000000107693138053634049601866143426694219030186946004233292481177242652639232 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (+.f64 y x) (if (<=.f64 y #s(literal 1236792945344869/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(if (<=.f64 y #s(literal -459999999999999977797999120364398197319723199752450630593112150759845888314226633152135168 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal -4213343284833553/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 binary64)) (+.f64 y x) (if (<=.f64 y #s(literal 6499999999999999622512640 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (neg.f64 z))))
(if (<=.f64 y #s(literal -29000000000000001402681723810601640404882237684466124858548920722798092623122732227189800960 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 119999999999999994137671364268273881942482075473267750107748574484415980258794933774144499009447788544 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -3100000000000000111907740469012634017412002198061056 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 2486616182048933/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) x (neg.f64 z)))
(if (<=.f64 x #s(literal -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) x (if (<=.f64 x #s(literal 4633147901005669/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) y x))
x

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 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 1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 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 -1749999999999999928979267798613134780110993156884790019422043267161731865164170244653056 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal -6144458957048931/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (+.f64 y x) (if (<=.f64 y #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(if (<=.f64 y #s(literal -1749999999999999928979267798613134780110993156884790019422043267161731865164170244653056 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal -6144458957048931/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768 binary64)) (+.f64 x y) (if (<=.f64 y #s(literal 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(if (<=.f64 y #s(literal -1700000000000000107693138053634049601866143426694219030186946004233292481177242652639232 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (+.f64 y x) (if (<=.f64 y #s(literal 1236792945344869/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(if (<=.f64 y #s(literal -1700000000000000107693138053634049601866143426694219030186946004233292481177242652639232 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (+.f64 x y) (if (<=.f64 y #s(literal 1236792945344869/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (.f64 x (/.f64 z (-.f64 z y))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(if (<=.f64 y #s(literal -459999999999999977797999120364398197319723199752450630593112150759845888314226633152135168 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal -4213343284833553/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 binary64)) (+.f64 y x) (if (<=.f64 y #s(literal 6499999999999999622512640 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (neg.f64 z))))
(if (<=.f64 y #s(literal -459999999999999977797999120364398197319723199752450630593112150759845888314226633152135168 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 y #s(literal -4213343284833553/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 binary64)) (+.f64 x y) (if (<=.f64 y #s(literal 6499999999999999622512640 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (-.f64 #s(literal 0 binary64) z))))
(if (<=.f64 y #s(literal -29000000000000001402681723810601640404882237684466124858548920722798092623122732227189800960 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 119999999999999994137671364268273881942482075473267750107748574484415980258794933774144499009447788544 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -29000000000000001402681723810601640404882237684466124858548920722798092623122732227189800960 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 y #s(literal 119999999999999994137671364268273881942482075473267750107748574484415980258794933774144499009447788544 binary64)) (+.f64 x y) (-.f64 #s(literal 0 binary64) z)))
(if (<=.f64 y #s(literal -3100000000000000111907740469012634017412002198061056 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 2486616182048933/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) x (neg.f64 z)))
(if (<=.f64 y #s(literal -3100000000000000111907740469012634017412002198061056 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 y #s(literal 2486616182048933/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) x (-.f64 #s(literal 0 binary64) z)))
(if (<=.f64 x #s(literal -7492196520758381/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) x (if (<=.f64 x #s(literal 4633147901005669/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) y x))
x

soundness754.0ms (9.1%)

Memory

9.9MiB live, 581.5MiB allocated

Rules

17 244×	`accelerator-lowering-fma.f32`
17 244×	`accelerator-lowering-fma.f64`
8 828×	`accelerator-lowering-fma.f32`
8 828×	`accelerator-lowering-fma.f64`
5 194×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	1464
1	607	1425
2	1748	1333
3	5799	1333
0	8634	1280
0	181	958
1	589	915
2	1842	852
3	7158	833
0	8263	790
0	19	66
1	135	64
2	1275	64
0	8404	63

Stop Event

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

Compiler

Compiled 355 to 179 computations (49.6% saved)

preprocess76.0ms (0.9%)

Memory: 2.4MiB live, 157.1MiB allocated
Compiler: Compiled 488 to 188 computations (61.5% 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

analyze122.0ms (1.5%)

sample1.1s (13.3%)

preprocess133.0ms (1.6%)

explain102.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (0.5%)

localize28.0ms (0.3%)

series9.0ms (0.1%)

rewrite373.0ms (4.5%)

simplify503.0ms (6.1%)

eval48.0ms (0.6%)

prune64.0ms (0.8%)

simplify184.0ms (2.2%)

localize58.0ms (0.7%)

series24.0ms (0.3%)

rewrite403.0ms (4.9%)

simplify473.0ms (5.7%)

eval120.0ms (1.5%)

prune129.0ms (1.6%)

simplify85.0ms (1%)

localize56.0ms (0.7%)

series16.0ms (0.2%)

rewrite688.0ms (8.3%)

simplify361.0ms (4.4%)

eval163.0ms (2%)

prune120.0ms (1.5%)

simplify171.0ms (2.1%)

localize73.0ms (0.9%)

series34.0ms (0.4%)

rewrite399.0ms (4.8%)

simplify483.0ms (5.9%)

eval255.0ms (3.1%)

prune248.0ms (3%)

regimes38.0ms (0.5%)

regimes32.0ms (0.4%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes28.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch36.0ms (0.4%)

bsearch40.0ms (0.5%)

bsearch41.0ms (0.5%)

bsearch32.0ms (0.4%)

bsearch24.0ms (0.3%)

bsearch25.0ms (0.3%)

simplify20.0ms (0.2%)

soundness754.0ms (9.1%)

preprocess76.0ms (0.9%)

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