Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, B

analyze80.0ms (0.9%)

Memory

-21.6MiB live, 173.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
50%	49.9%	49.9%	0.2%	0%	0%	0%	8
75%	74.9%	25%	0.2%	0%	0%	0%	9
75%	74.9%	25%	0.2%	0%	0%	0%	10
75%	74.9%	25%	0.2%	0%	0%	0%	11
75%	74.9%	25%	0.2%	0%	0%	0%	12

Compiler

Compiled 11 to 11 computations (0% saved)

sample901.0ms (10.5%)

Memory

31.5MiB live, 1 267.5MiB allocated

Samples

629.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 402.0ms

ival-mult: 192.0ms (47.8% of total)

ival-add: 84.0ms (20.9% of total)

ival-div: 73.0ms (18.2% of total)

ival-sub: 38.0ms (9.5% of total)

ival-true: 7.0ms (1.7% of total)

exact: 5.0ms (1.2% of total)

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

Bogosity

preprocess282.0ms (3.3%)

Memory

-0.9MiB live, 239.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 832×	`lower-fma.f64`
2 832×	`lower-fma.f32`
1 518×	`sub-neg`
1 490×	`div-sub`
1 298×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	141
1	170	126
2	511	126
3	1660	126
4	5370	126
5	7727	126
0	9	9
0	13	9
1	24	9
2	48	9
3	83	9
4	166	9
5	301	9
6	587	9
7	1372	9
8	2733	9
9	4698	9
10	5064	9
11	5108	9
12	5116	9
13	5116	9
14	5508	9
15	5676	9
16	5676	9
17	5676	9
0	5676	9

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (+.f64 y (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))

Symmetry

(negabs t)

(sort x y)

explain126.0ms (1.5%)

Memory

-11.9MiB live, 156.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`	n/o	1	0
↳	`(*.f64 t #s(literal 2 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms

512×

valid

Compiler

Compiled 80 to 40 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 45.0ms (82.2% of total)

ival-add: 3.0ms (5.5% of total)

ival-mult: 3.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify209.0ms (2.4%)

Memory

8.4MiB live, 162.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 t #s(literal 2 binary64))
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(-.f64 (+.f64 x y) z)
✓	cost-diff	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Rules

2 832×	`lower-fma.f64`
2 832×	`lower-fma.f32`
1 490×	`div-sub`
1 104×	`lower-*.f32`
1 102×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	24	25
2	48	25
3	83	25
4	166	25
5	301	25
6	587	25
7	1372	25
8	2733	25
9	4698	25
10	5064	25
11	5108	25
12	5116	25
13	5116	25
14	5508	25
15	5676	25
16	5676	25
17	5676	25
0	5676	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (+.f64 y (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
(-.f64 (+.f64 x y) z)
(+.f64 y (-.f64 x z))
(+.f64 x y)
x
y
z
(*.f64 t #s(literal 2 binary64))
t
#s(literal 2 binary64)

localize27.0ms (0.3%)

Memory

-15.8MiB live, 57.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (+.f64 x y) z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 6.0ms (56.5% of total)

ival-add: 2.0ms (18.8% of total)

ival-mult: 2.0ms (18.8% of total)

ival-sub: 1.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

4 → 120

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 x y) z)>
#<alt (+.f64 x y)>
#<alt (*.f64 t #s(literal 2 binary64))>

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

Calls

30 calls:

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

rewrite288.0ms (3.3%)

Memory

-21.6MiB live, 581.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 046×	`lower-*.f32`
5 044×	`lower-*.f64`
4 338×	`lower-/.f32`
4 336×	`lower-/.f64`
3 708×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	20
1	57	20
2	473	20
3	7793	20
0	8232	20

Stop Event

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

Counts

4 → 505

Calls

Call 1

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

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

simplify334.0ms (3.9%)

Memory

21.8MiB live, 376.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 612×	`lower-fma.f64`
7 612×	`lower-fma.f32`
3 776×	`lower-*.f64`
3 776×	`lower-*.f32`
2 500×	`lower--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	728
1	314	728
2	876	728
3	2929	650
4	7509	650
0	8709	650

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 110

Calls

Call 1

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

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

eval190.0ms (2.2%)

Memory: -47.8MiB live, 55.9MiB allocated
Compiler: Compiled 15 657 to 1 471 computations (90.6% saved)

prune201.0ms (2.3%)

Memory

5.5MiB live, 120.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	606	9	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	607	9	616

Accuracy

100.0%

Counts

616 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.8%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
▶	98.4%	(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
	65.7%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
▶	67.0%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
	73.4%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
▶	32.5%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
	39.3%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
▶	40.5%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
▶	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z)))

Compiler

Compiled 210 to 148 computations (29.5% saved)

simplify213.0ms (2.5%)

Memory

9.8MiB live, 94.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) t)
✓	cost-diff	896	(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 t #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(+.f64 x (-.f64 y z))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z)))

Rules

2 832×	`lower-fma.f32`
2 830×	`lower-fma.f64`
1 104×	`lower-*.f32`
1 096×	`lower-*.f64`
844×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	98
0	38	95
1	67	95
2	116	95
3	209	95
4	374	95
5	649	95
6	1214	95
7	2299	95
8	3839	95
9	4676	95
10	4913	95
11	4935	95
12	4941	95
13	4945	95
14	5095	95
15	5151	95
16	5151	95
0	5151	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize215.0ms (2.5%)

Memory

-4.7MiB live, 72.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))
✓	accuracy	98.7%	(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) t)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(+.f64 x (-.f64 y z))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z)))

Samples

40.0ms

256×

valid

Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 11.0ms (46% of total)

ival-mult: 7.0ms (29.3% of total)

ival-add: 3.0ms (12.5% of total)

ival-sub: 2.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series91.0ms (1.1%)

Memory

-9.3MiB live, 31.1MiB allocated

Counts

15 → 384

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z)))>
#<alt (/.f64 #s(literal 1/2 binary64) t)>
#<alt (+.f64 x (-.f64 y z))>
#<alt (-.f64 y z)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)>
#<alt (*.f64 z #s(literal -1/2 binary64))>
#<alt (/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))>
#<alt (-.f64 x z)>
#<alt (*.f64 t #s(literal 2 binary64))>
#<alt (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal -1/2 binary64) t)>
#<alt (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))>
#<alt (+.f64 x y)>

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

Calls

96 calls:

Time	Variable		Point	Expression
60.0ms	y	@	-inf	(/ (+ x y) (* t 2))
3.0ms	t	@	0	(/ (- x z) (* t 2))
1.0ms	t	@	0	(/ 1/2 t)
1.0ms	x	@	0	(+ (* z (/ -1/2 t)) (/ (+ x y) (* t 2)))
1.0ms	t	@	inf	(+ (* z (/ -1/2 t)) (/ (+ x y) (* t 2)))

rewrite692.0ms (8%)

Memory

25.1MiB live, 538.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 434×	`lower-/.f32`
5 422×	`lower-/.f64`
4 446×	`lower-fma.f32`
4 444×	`lower-fma.f64`
3 608×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	74
0	38	71
1	155	71
2	1541	71
0	8642	71

Stop Event

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

Counts

15 → 1 148

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))) (/.f64 z (.f64 t #s(literal -2 binary64))))
(+.f64 (/.f64 z (.f64 t #s(literal -2 binary64))) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))) (/.f64 x (.f64 t #s(literal 2 binary64))))
(+.f64 (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 t t)) (/.f64 (-.f64 z (-.f64 (neg.f64 x) y)) (.f64 t #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (.f64 t #s(literal 2 binary64)) (.f64 t #s(literal 2 binary64)))) (/.f64 (-.f64 z (-.f64 (neg.f64 x) y)) (.f64 t #s(literal -2 binary64))))))
(-.f64 (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))) (/.f64 z (.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 z (.f64 t #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) t)))
(-.f64 (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 x t)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 t t)) (/.f64 (-.f64 z (-.f64 (neg.f64 x) y)) (.f64 t #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (.f64 t #s(literal 2 binary64)) (.f64 t #s(literal 2 binary64)))) (/.f64 (-.f64 z (-.f64 (neg.f64 x) y)) (.f64 t #s(literal -2 binary64)))))
(-.f64 (/.f64 y (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 z x) (.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 (-.f64 x y) z)) (.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (-.f64 y z) (-.f64 y z)) (+.f64 (-.f64 x y) z)) (.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 x (.f64 t #s(literal 2 binary64)))) (/.f64 (+.f64 (-.f64 x y) z) (.f64 t #s(literal 2 binary64)))) (/.f64 (.f64 (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64)))) (/.f64 (+.f64 (-.f64 x y) z) (.f64 t #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (.f64 t #s(literal 2 binary64)) (.f64 t #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 (neg.f64 x) y) z) (.f64 t #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 t t)) (/.f64 (-.f64 (-.f64 (neg.f64 x) y) z) (.f64 t #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) t) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 y z)) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) t) x) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 z (neg.f64 t)) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 z) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))))
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) t) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) t) z) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) (neg.f64 t)) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) t) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) z (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))) #s(literal 1 binary64) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 x y)) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 z (.f64 t #s(literal -2 binary64))) #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal -1 binary64) t) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(fma.f64 (-.f64 (neg.f64 x) y) (/.f64 #s(literal -1/2 binary64) t) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (-.f64 (neg.f64 x) y)) (.f64 t #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (.f64 t #s(literal 2 binary64)) (.f64 t #s(literal 2 binary64)))) (/.f64 (-.f64 z (-.f64 (neg.f64 x) y)) (.f64 t #s(literal -2 binary64))))))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal 2 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x)))) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 t #s(literal 2 binary64)))) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal 2 binary64)) (fma.f64 y y (.f64 z (+.f64 y z))))) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (.f64 t #s(literal 2 binary64)))) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 z (.f64 t #s(literal -2 binary64))) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (.f64 z #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z #s(literal -2 binary64)) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (-.f64 y z) #s(literal 2 binary64)) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal 2 binary64)) (-.f64 x y))) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (.f64 t #s(literal 2 binary64)))) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal 2 binary64)) (+.f64 y z))) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (.f64 t #s(literal 2 binary64)))) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 z (.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) t)) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x t)) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (+.f64 x y)))) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 t #s(literal 2 binary64)) x))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 t #s(literal -2 binary64)) z))) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (.f64 t (fma.f64 y y (.f64 z (+.f64 y z))))) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y z) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (.f64 t (+.f64 y z))) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) (fma.f64 y y (.f64 z (+.f64 y z))))) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 y z) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) (+.f64 y z))) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (-.f64 y z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) t)) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (-.f64 y z)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (neg.f64 t))) (/.f64 x (.f64 t #s(literal 2 binary64))))
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(.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x y) z))) (/.f64 #s(literal -1 binary64) t))
(.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal -1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 #s(literal 8 binary64) (.f64 t (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 x) y) z) (.f64 t #s(literal -2 binary64))) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 t t))))))
(.f64 (neg.f64 (.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 z (-.f64 (neg.f64 x) y)) (.f64 t #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 z (-.f64 (neg.f64 x) y)) (*.f64 t #s(literal -2 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z))) (.f64 #s(literal 8 binary64) (.f64 t (.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 x (.f64 t #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64)))) (.f64 (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))))))
(.f64 (-.f64 (.f64 (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 x (.f64 t #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x y) z) (.f64 t #s(literal 2 binary64)))))
(.f64 (-.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (.f64 t #s(literal 2 binary64)) (.f64 t #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 x) y) z) (.f64 t #s(literal -2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (fma.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) x) (.f64 x x))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 (-.f64 (+.f64 x y) z) (+.f64 (-.f64 x y) z))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x y) z)))
(.f64 (.f64 (-.f64 (+.f64 x y) z) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) t))
(.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal -1 binary64) t))
(.f64 (/.f64 (fma.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z)) (.f64 x (.f64 x x))) (.f64 t #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) x) (.f64 x x))))
(.f64 (/.f64 (.f64 (-.f64 (+.f64 x y) z) (+.f64 (-.f64 x y) z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x y) z)))
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z)) (.f64 x (.f64 x x))) t) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) x) (*.f64 x x))) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 (-.f64 y z) (.f64 (-.f64 y z) (-.f64 y z)) (.f64 x (.f64 x x))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) x) (*.f64 x x))) t))
(.f64 (/.f64 (.f64 (-.f64 (+.f64 x y) z) (+.f64 (-.f64 x y) z)) t) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x y) z)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (+.f64 x y) z) (+.f64 (-.f64 x y) z)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x y) z)) t))
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) t))
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t))
(exp.f64 (.f64 (log.f64 (.f64 t #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) t))
(neg.f64 (/.f64 #s(literal 1/2 binary64) t))
(/.f64 #s(literal 1/2 binary64) (neg.f64 t))
(/.f64 #s(literal -1/2 binary64) t)
(/.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64)))
(pow.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) t))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) t))
(*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) t)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 t #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) t)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (-.f64 x y)) (.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 y y) (-.f64 x y)) (.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 (.f64 t #s(literal 2 binary64)) (-.f64 x y))) (/.f64 (.f64 y y) (.f64 (.f64 t #s(literal 2 binary64)) (-.f64 x y))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) t)))
(/.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 t #s(literal -2 binary64)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 t #s(literal 2 binary64))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (.f64 t #s(literal 2 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal 2 binary64)) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 t #s(literal 2 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 t #s(literal 2 binary64)) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 t #s(literal 2 binary64))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) (.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (*.f64 t #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 t #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (+.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (-.f64 x y) (*.f64 t #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (*.f64 t #s(literal 2 binary64)) (-.f64 x y)))
(/.f64 (/.f64 (+.f64 x y) t) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (+.f64 x y))))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) t)) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (.f64 (.f64 t #s(literal 2 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 t #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (.f64 (*.f64 t #s(literal 2 binary64)) (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (.f64 (-.f64 x y) (*.f64 t #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 t #s(literal 2 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 t #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) t)
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x y) t))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 t #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 t #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) (neg.f64 t))
(pow.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) (neg.f64 t)))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t))
(.f64 (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (-.f64 (neg.f64 x) y) (/.f64 #s(literal -1/2 binary64) t))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal 2 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (*.f64 t #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 (+.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal 2 binary64)) (-.f64 x y))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (.f64 t #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) t)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (+.f64 x y)))))
(*.f64 (neg.f64 (/.f64 (+.f64 x y) t)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (+.f64 x y) #s(literal -2 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 t #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t))
(.f64 (pow.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (pow.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) t) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) t))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) t))
(.f64 (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 x y)
(+.f64 y x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 #s(literal 1 binary64) x y)
(neg.f64 (-.f64 (neg.f64 x) y))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (.f64 x x) (.f64 x y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (.f64 y y) (.f64 x x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y y (-.f64 (.f64 x x) (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 x x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (.f64 x x) (.f64 x y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))

simplify295.0ms (3.4%)

Memory

-3.1MiB live, 594.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 554×	`lower-fma.f64`
6 554×	`lower-fma.f32`
4 290×	`lower-*.f64`
4 290×	`lower-*.f32`
1 498×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	2042
1	627	2042
2	1859	2042
3	6261	2042
0	8520	2042

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 368

Calls

Call 1

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

eval181.0ms (2.1%)

Memory: 20.5MiB live, 529.1MiB allocated
Compiler: Compiled 28 621 to 2 064 computations (92.8% saved)

prune291.0ms (3.4%)

Memory

-8.8MiB live, 386.6MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 538	7	1 545
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 542	12	1 554

Accuracy

100.0%

Counts

1 554 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.9%	(fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
	64.6%	(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
▶	65.2%	(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))
	65.7%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	67.0%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	32.5%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
▶	39.3%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	40.5%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
▶	67.2%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))
	73.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
	40.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
▶	32.4%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Compiler

Compiled 237 to 174 computations (26.6% saved)

simplify209.0ms (2.4%)

Memory

21.1MiB live, 137.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) t)
✓	cost-diff	896	(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) t)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓	cost-diff	0	(/.f64 x (*.f64 t #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(/.f64 (-.f64 y z) t)
✓	cost-diff	896	(fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))

Rules

2 832×	`lower-fma.f32`
2 828×	`lower-fma.f64`
1 104×	`lower-*.f32`
1 096×	`lower-*.f64`
810×	`distribute-lft-out`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	20	99
0	35	99
1	58	99
2	90	99
3	144	96
4	234	96
5	368	96
6	627	96
7	1124	93
8	2109	93
9	3944	93
10	4270	93
11	4287	93
12	4291	93
13	4291	93
14	4655	93
15	4867	93
16	6079	93
17	6079	93
18	6079	93
0	6079	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (1.1%)

Memory

-45.7MiB live, 128.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) t)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	99.5%	(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) t)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) t)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 y z) t)
✓	accuracy	99.6%	(/.f64 x (*.f64 t #s(literal 2 binary64)))
✓	accuracy	96.1%	(fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))

Samples

59.0ms

256×

valid

Compiler

Compiled 103 to 24 computations (76.7% saved)

Precisions

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

ival-mult: 27.0ms (62.2% of total)

ival-div: 9.0ms (20.7% of total)

ival-add: 4.0ms (9.2% of total)

ival-sub: 3.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

13 → 324

Calls

Call 1

Inputs
#<alt (fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 y z) t)>
#<alt (-.f64 y z)>
#<alt (/.f64 x (*.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)>
#<alt (/.f64 #s(literal -1/2 binary64) t)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))>
#<alt (/.f64 #s(literal 1/2 binary64) t)>
#<alt (-.f64 x z)>
#<alt (fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))>
#<alt (*.f64 t #s(literal 2 binary64))>

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

Calls

81 calls:

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

rewrite296.0ms (3.4%)

Memory

8.2MiB live, 439.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 222×	`lower-/.f32`
5 212×	`lower-/.f64`
4 632×	`lower-*.f32`
4 624×	`lower-*.f64`
2 336×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	67
0	35	67
1	135	67
2	1250	67
0	8253	67

Stop Event

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

Counts

13 → 647

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) t))
(+.f64 (/.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) t) (/.f64 x (.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) (.f64 t t)) (/.f64 (-.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))) t)) (/.f64 (/.f64 (.f64 x x) (.f64 (.f64 t #s(literal 2 binary64)) (.f64 t #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))) t)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (.f64 t #s(literal 2 binary64)) (.f64 t #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) t)) (/.f64 (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) (.f64 t t)) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) t)))
(fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t) (/.f64 x (*.f64 t #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t))
(fma.f64 #s(literal 1 binary64) (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) t))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t))
(fma.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 x (.f64 t #s(literal 2 binary64))))
(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64)))) (.f64 t (.f64 t t)))) (fma.f64 (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) t) (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) (*.f64 t t))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64)))) (.f64 t (.f64 t t)))) (fma.f64 (.f64 (/.f64 x t) (/.f64 x t)) #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) (.f64 t t)) (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) x) (.f64 t (.f64 t #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) t) (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) (.f64 t t))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64)))) (.f64 t (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))) t) (-.f64 (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) (.f64 t t)) (/.f64 (.f64 x x) (.f64 (.f64 t #s(literal 2 binary64)) (*.f64 t #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) (.f64 t t)) (/.f64 (.f64 x x) (.f64 (.f64 t #s(literal 2 binary64)) (.f64 t #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) t) (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) (.f64 t t))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64)))) (.f64 t (*.f64 t t)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))) t) (-.f64 (/.f64 (.f64 (.f64 (-.f64 y z) #s(literal 1/2 binary64)) (.f64 (-.f64 y z) #s(literal 1/2 binary64))) (.f64 t t)) (/.f64 (.f64 x x) (.f64 (.f64 t #s(literal 2 binary64)) (*.f64 t #s(literal 2 binary64))))))))
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(/.f64 (fma.f64 (.f64 z #s(literal -1/2 binary64)) t (.f64 t (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 t t))
(/.f64 (fma.f64 (.f64 z #s(literal -1/2 binary64)) (neg.f64 (neg.f64 t)) (.f64 t (neg.f64 (.f64 y #s(literal -1/2 binary64))))) (.f64 t (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 (neg.f64 (.f64 z #s(literal -1/2 binary64))) t (.f64 (neg.f64 t) (.f64 y #s(literal 1/2 binary64)))) (.f64 (neg.f64 t) t))
(/.f64 (fma.f64 (neg.f64 (.f64 z #s(literal -1/2 binary64))) (neg.f64 t) (.f64 (neg.f64 t) (.f64 y #s(literal -1/2 binary64)))) (.f64 t t))
(/.f64 (fma.f64 (neg.f64 (.f64 z #s(literal -1/2 binary64))) (/.f64 (.f64 t #s(literal 2 binary64)) y) (.f64 (neg.f64 t) #s(literal 1 binary64))) (.f64 (neg.f64 t) (/.f64 (*.f64 t #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 (neg.f64 (.f64 z #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y) #s(literal 1 binary64)) (.f64 (neg.f64 t) #s(literal 1 binary64))) (.f64 (neg.f64 t) (/.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (.f64 z #s(literal -1/2 binary64))) (neg.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y)) (.f64 (neg.f64 t) #s(literal -1 binary64))) (.f64 (neg.f64 t) (neg.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y))))
(/.f64 (fma.f64 (neg.f64 (.f64 z #s(literal -1/2 binary64))) t (.f64 (neg.f64 t) (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 t) t))
(/.f64 (fma.f64 (neg.f64 (.f64 z #s(literal -1/2 binary64))) (neg.f64 (neg.f64 t)) (.f64 (neg.f64 t) (neg.f64 (.f64 y #s(literal -1/2 binary64))))) (.f64 (neg.f64 t) (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) t (.f64 (neg.f64 t) (.f64 y #s(literal 1/2 binary64)))) (.f64 (neg.f64 t) t))
(/.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (neg.f64 t) (.f64 (neg.f64 t) (.f64 y #s(literal -1/2 binary64)))) (.f64 t t))
(/.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (.f64 t #s(literal 2 binary64)) y) (.f64 (neg.f64 t) #s(literal 1 binary64))) (.f64 (neg.f64 t) (/.f64 (*.f64 t #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y) #s(literal 1 binary64)) (.f64 (neg.f64 t) #s(literal 1 binary64))) (.f64 (neg.f64 t) (/.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (neg.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y)) (.f64 (neg.f64 t) #s(literal -1 binary64))) (.f64 (neg.f64 t) (neg.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y))))
(/.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) t (.f64 (neg.f64 t) (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 t) t))
(/.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t)) (.f64 (neg.f64 t) (neg.f64 (.f64 y #s(literal -1/2 binary64))))) (.f64 (neg.f64 t) (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 (.f64 z #s(literal 1 binary64)) t (.f64 (.f64 t #s(literal -2 binary64)) (.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 t #s(literal -2 binary64)) t))
(/.f64 (fma.f64 (.f64 z #s(literal 1 binary64)) (neg.f64 t) (.f64 (.f64 t #s(literal -2 binary64)) (.f64 y #s(literal -1/2 binary64)))) (.f64 (.f64 t #s(literal -2 binary64)) (neg.f64 t)))
(/.f64 (fma.f64 (.f64 z #s(literal 1 binary64)) (/.f64 (.f64 t #s(literal 2 binary64)) y) (.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 (.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y) #s(literal 1 binary64)) (.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 t #s(literal -2 binary64)) (/.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 z #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y)) (.f64 (.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))) (.f64 (.f64 t #s(literal -2 binary64)) (neg.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y))))
(/.f64 (fma.f64 (.f64 z #s(literal 1 binary64)) t (.f64 (.f64 t #s(literal -2 binary64)) (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (*.f64 t #s(literal -2 binary64)) t))
(/.f64 (fma.f64 (.f64 z #s(literal 1 binary64)) (neg.f64 (neg.f64 t)) (.f64 (.f64 t #s(literal -2 binary64)) (neg.f64 (.f64 y #s(literal -1/2 binary64))))) (.f64 (.f64 t #s(literal -2 binary64)) (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) t (.f64 (neg.f64 t) (.f64 y #s(literal 1/2 binary64)))) (.f64 (neg.f64 t) t))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 t) (.f64 (neg.f64 t) (.f64 y #s(literal -1/2 binary64)))) (.f64 t t))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 t #s(literal 2 binary64)) y) (.f64 (neg.f64 t) #s(literal 1 binary64))) (.f64 (neg.f64 t) (/.f64 (*.f64 t #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y) #s(literal 1 binary64)) (.f64 (neg.f64 t) #s(literal 1 binary64))) (.f64 (neg.f64 t) (/.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y)) (.f64 (neg.f64 t) #s(literal -1 binary64))) (.f64 (neg.f64 t) (neg.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) t (.f64 (neg.f64 t) (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 t) t))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 (neg.f64 t)) (.f64 (neg.f64 t) (neg.f64 (.f64 y #s(literal -1/2 binary64))))) (.f64 (neg.f64 t) (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) z) t (.f64 (.f64 t #s(literal -2 binary64)) (.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 t #s(literal -2 binary64)) t))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) z) (neg.f64 t) (.f64 (.f64 t #s(literal -2 binary64)) (.f64 y #s(literal -1/2 binary64)))) (.f64 (.f64 t #s(literal -2 binary64)) (neg.f64 t)))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) z) (/.f64 (.f64 t #s(literal 2 binary64)) y) (.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 t #s(literal -2 binary64)) (/.f64 (*.f64 t #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y) #s(literal 1 binary64)) (.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 t #s(literal -2 binary64)) (/.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y)) (.f64 (.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))) (.f64 (.f64 t #s(literal -2 binary64)) (neg.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y))))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) z) t (.f64 (.f64 t #s(literal -2 binary64)) (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (*.f64 t #s(literal -2 binary64)) t))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) z) (neg.f64 (neg.f64 t)) (.f64 (.f64 t #s(literal -2 binary64)) (neg.f64 (.f64 y #s(literal -1/2 binary64))))) (.f64 (.f64 t #s(literal -2 binary64)) (neg.f64 (neg.f64 t))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 t t)) (/.f64 (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) t)) (.f64 (/.f64 (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) t) (/.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 t t)))) (.f64 (/.f64 (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) t) (/.f64 (-.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) t)))
(/.f64 (neg.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) t (.f64 t (.f64 z #s(literal -1/2 binary64))))) (neg.f64 (.f64 t t)))
(/.f64 (neg.f64 (fma.f64 (.f64 y #s(literal -1/2 binary64)) t (.f64 (neg.f64 t) (.f64 z #s(literal -1/2 binary64))))) (neg.f64 (.f64 (neg.f64 t) t)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) t (.f64 (/.f64 (.f64 t #s(literal 2 binary64)) y) (.f64 z #s(literal -1/2 binary64))))) (neg.f64 (.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) y) t)))
(/.f64 (neg.f64 (fma.f64 (.f64 z #s(literal -1/2 binary64)) t (.f64 t (.f64 y #s(literal 1/2 binary64))))) (neg.f64 (.f64 t t)))
(/.f64 (neg.f64 (fma.f64 (.f64 z #s(literal -1/2 binary64)) (neg.f64 t) (.f64 t (.f64 y #s(literal -1/2 binary64))))) (neg.f64 (.f64 t (neg.f64 t))))
(/.f64 (neg.f64 (fma.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 t #s(literal 2 binary64)) y) (.f64 t #s(literal 1 binary64)))) (neg.f64 (.f64 t (/.f64 (*.f64 t #s(literal 2 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) t) (/.f64 (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) t) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 t t))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))) (.f64 t t)))) (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) t))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64)))) (.f64 t t))) (neg.f64 (/.f64 (-.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/2 binary64))) t)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) t) (/.f64 (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) t) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 t t))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) t) (/.f64 (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))) (*.f64 t t))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t t))) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) t) (/.f64 (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) t) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (*.f64 t t)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z #s(literal -1/2 binary64))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))) (.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) t)))
(-.f64 #s(literal 0 binary64) (*.f64 t #s(literal -2 binary64)))
(/.f64 t #s(literal 1/2 binary64))
(/.f64 (neg.f64 t) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) t))
(/.f64 (neg.f64 (neg.f64 t)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal -1 binary64))
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)

simplify315.0ms (3.7%)

Memory

0.9MiB live, 476.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 984×	`lower-fma.f64`
12 984×	`lower-fma.f32`
4 846×	`lower-*.f64`
4 846×	`lower-*.f32`
1 996×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	2097
1	465	2007
2	1445	1731
3	4933	1725
0	8347	1722

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 318

Calls

Call 1

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

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

eval121.0ms (1.4%)

Memory: 18.3MiB live, 202.9MiB allocated
Compiler: Compiled 17 123 to 1 922 computations (88.8% saved)

prune111.0ms (1.3%)

Memory

-10.9MiB live, 191.4MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 058	1	1 059
Fresh	0	4	4
Picked	1	4	5
Done	0	3	3
Total	1 059	12	1 071

Accuracy

100.0%

Counts

1 071 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.7%	(fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
▶	64.6%	(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
✓	65.2%	(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))
▶	65.7%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	67.0%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	32.5%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	39.3%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	40.5%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	67.2%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))
▶	73.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
▶	40.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
✓	32.4%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Compiler

Compiled 190 to 140 computations (26.3% saved)

simplify131.0ms (1.5%)

Memory

33.0MiB live, 109.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 t #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (*.f64 t #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 y t)
✓	cost-diff	896	(fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 t #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 z (*.f64 t #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 x t)
✓	cost-diff	896	(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
✓	cost-diff	0	(*.f64 t #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))

Rules

1 824×	`lower-fma.f32`
1 820×	`lower-fma.f64`
960×	`lower-*.f32`
952×	`lower-*.f64`
656×	`div-sub`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	21	97
0	37	94
1	69	94
2	105	94
3	132	94
4	193	94
5	301	94
6	457	91
7	814	91
8	1639	91
9	3237	91
10	3749	91
11	3885	91
12	3931	91
13	3931	91
14	3931	91
0	3931	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize133.0ms (1.5%)

Memory

-21.4MiB live, 130.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y t)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 x (*.f64 t #s(literal 2 binary64)))
✓	accuracy	97.8%	(fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 z (*.f64 t #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 x t)
✓	accuracy	100.0%	(*.f64 t #s(literal -2 binary64))
✓	accuracy	97.2%	(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) t)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) t)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))

Samples

55.0ms

256×

valid

Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 14.0ms (49.8% of total)

ival-mult: 8.0ms (28.5% of total)

ival-add: 3.0ms (10.7% of total)

ival-sub: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

14 → 348

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))>
#<alt (/.f64 #s(literal 1/2 binary64) t)>
#<alt (+.f64 x y)>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)>
#<alt (/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))>
#<alt (-.f64 y z)>
#<alt (*.f64 t #s(literal 2 binary64))>
#<alt (fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))>
#<alt (/.f64 x t)>
#<alt (/.f64 z (*.f64 t #s(literal -2 binary64)))>
#<alt (*.f64 t #s(literal -2 binary64))>
#<alt (fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))>
#<alt (/.f64 y t)>
#<alt (/.f64 x (*.f64 t #s(literal 2 binary64)))>

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

Calls

87 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ x t)
0.0ms	t	@	0	(* t -2)
0.0ms	t	@	-inf	(/ x t)
0.0ms	t	@	-inf	(/ y t)
0.0ms	x	@	0	(+ (* (/ y t) 1/2) (/ x (* t 2)))

rewrite481.0ms (5.6%)

Memory

6.6MiB live, 491.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 428×	`lower-fma.f32`
8 424×	`lower-fma.f64`
4 444×	`lower-/.f32`
4 432×	`lower-/.f64`
3 936×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	70
0	37	67
1	152	67
2	1423	67
0	8396	67

Stop Event

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

Counts

14 → 914

Calls

Call 1

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

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

simplify298.0ms (3.5%)

Memory

-1.0MiB live, 386.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 810×	`lower-fma.f64`
6 810×	`lower-fma.f32`
4 390×	`lower-*.f64`
4 390×	`lower-*.f32`
3 078×	`lower--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	127	1935
1	365	1935
2	1057	1815
3	3834	1725
4	6779	1695
0	8272	1695

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 339

Calls

Call 1

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

Outputs
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ (+ x y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* 1/2 (/ y t))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
(/ 1/2 t)
(/.f64 #s(literal 1/2 binary64) t)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ 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)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(* 1/2 (/ x t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)

eval167.0ms (1.9%)

Memory: -9.2MiB live, 365.9MiB allocated
Compiler: Compiled 19 667 to 1 638 computations (91.7% saved)

prune208.0ms (2.4%)

Memory

13.4MiB live, 211.4MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	1 317	0	1 317
Fresh	0	0	0
Picked	0	5	5
Done	0	7	7
Total	1 317	12	1 329

Accuracy

100.0%

Counts

1 329 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.7%	(fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
✓	64.6%	(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
✓	65.2%	(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))
✓	65.7%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	67.0%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	32.5%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	39.3%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	40.5%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	67.2%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))
✓	73.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
✓	40.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
✓	32.4%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Compiler

Compiled 279 to 142 computations (49.1% saved)

regimes118.0ms (1.4%)

Memory

-46.5MiB live, 87.8MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

71.0ms	(*.f64 t #s(literal 2 binary64))
10.0ms	x
7.0ms	t
6.0ms	(+.f64 x y)
6.0ms	(-.f64 (+.f64 x y) z)

Results

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

Compiler

Compiled 56 to 42 computations (25% saved)

regimes36.0ms (0.4%)

Memory

17.4MiB live, 56.3MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	y
4.0ms	(*.f64 t #s(literal 2 binary64))
4.0ms	t
4.0ms	(-.f64 (+.f64 x y) z)
4.0ms	x

Results

Accuracy	Segments	Branch
92.5%	3	`x`
91.5%	2	`y`
92.4%	4	`z`
79.3%	3	`t`
98.8%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
98.8%	2	`(-.f64 (+.f64 x y) z)`
99.3%	2	`(+.f64 x y)`
79.3%	3	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes19.0ms (0.2%)

Memory

10.1MiB live, 49.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
3.0ms	(+.f64 x y)
3.0ms	y
3.0ms	x
3.0ms	(-.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
79.1%	3	`x`
89.7%	2	`y`
87.6%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
87.5%	2	`(-.f64 (+.f64 x y) z)`
90.8%	2	`(+.f64 x y)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes3.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
90.7%	2	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.2%)

Memory

0.4MiB live, 39.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(+.f64 x y)
3.0ms	(-.f64 (+.f64 x y) z)
3.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
73.5%	1	`(-.f64 (+.f64 x y) z)`
73.5%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
83.5%	3	`z`
77.0%	3	`y`
82.0%	3	`(+.f64 x y)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes10.0ms (0.1%)

Memory

-26.4MiB live, 13.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	z
2.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
81.7%	3	`(+.f64 x y)`
62.6%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
81.7%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes17.0ms (0.2%)

Memory

6.2MiB live, 44.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)

Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Calls

8 calls:

3.0ms	y
2.0ms	(*.f64 t #s(literal 2 binary64))
2.0ms	(-.f64 (+.f64 x y) z)
2.0ms	t
2.0ms	z

Results

Accuracy	Segments	Branch
57.3%	3	`z`
53.2%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
53.3%	2	`(-.f64 (+.f64 x y) z)`
46.8%	2	`y`
56.1%	2	`x`
46.1%	3	`t`
46.1%	3	`(*.f64 t #s(literal 2 binary64))`
58.2%	2	`(+.f64 x y)`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)

Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
58.1%	2	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

-4.9MiB live, 34.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Outputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Calls

8 calls:

2.0ms	(-.f64 (+.f64 x y) z)
1.0ms	(*.f64 t #s(literal 2 binary64))
1.0ms	x
1.0ms	t
1.0ms	y

Results

Accuracy	Segments	Branch
32.4%	1	`t`
32.4%	1	`(*.f64 t #s(literal 2 binary64))`
32.4%	1	`y`
32.4%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
32.4%	1	`(-.f64 (+.f64 x y) z)`
32.4%	1	`z`
32.4%	1	`x`
32.4%	1	`(+.f64 x y)`

Compiler

Compiled 56 to 42 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.247766104264673e-154	-7.376749974428973e-209

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.222693283199508e-14	0.0531644842395648

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.222693283199508e-14	0.0531644842395648

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch28.0ms (0.3%)

Memory

-21.5MiB live, 59.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.3479408808864912e+121	4.63768745470991e+128
10.0ms	-1.6139758570104066e+177	-4.68669923696169e+175

Samples

14.0ms

256×

valid

Compiler

Compiled 368 to 288 computations (21.7% saved)

Precisions

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

ival-div: 2.0ms (29.1% of total)

ival-mult: 2.0ms (29.1% of total)

ival-sub: 1.0ms (14.5% of total)

ival-add: 1.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.222693283199508e-14	0.0531644842395648
0.0ms	-9.983581758045718e-12	-1.9310381361134527e-14

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.222693283199508e-14	0.0531644842395648
0.0ms	-9.983581758045718e-12	-1.9310381361134527e-14

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.983581758045718e-12	-1.9310381361134527e-14

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.983581758045718e-12	-1.9310381361134527e-14

Compiler

Compiled 16 to 16 computations (0% saved)

simplify8.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	185
1	63	185
2	69	185
3	71	185
4	72	185

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z)))
(if (<=.f64 (+.f64 x y) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (+.f64 y x) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)))
(if (<=.f64 z #s(literal -49000000000000000083817932442691900754999095260200673566266414630449563202125768564682425150353453967074771646043269096032489343212622940770921264346301972454698207166588780544 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 18500000000000000394945952859481570983081664651840652342144417656491044437093309356637383721714543626814544853076841651503104 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x) (.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z)))
(if (<=.f64 (+.f64 x y) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (+.f64 y x) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)))
(if (<=.f64 z #s(literal -49000000000000000083817932442691900754999095260200673566266414630449563202125768564682425150353453967074771646043269096032489343212622940770921264346301972454698207166588780544 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 18500000000000000394945952859481570983081664651840652342144417656491044437093309356637383721714543626814544853076841651503104 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (.f64 z (/.f64 #s(literal -1/2 binary64) t)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (.f64 z (/.f64 #s(literal -1/2 binary64) t)))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x) (.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(if (<=.f64 (+.f64 x y) #s(literal -6189700196426901/1237940039285380274899124224 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x) (.f64 z (/.f64 #s(literal -1/2 binary64) t)))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(*.f64 z (/.f64 #s(literal -1/2 binary64) t))

soundness965.0ms (11.2%)

Memory

1.8MiB live, 718.6MiB allocated

Rules

7 612×	`lower-fma.f64`
7 612×	`lower-fma.f32`
6 554×	`lower-fma.f64`
6 554×	`lower-fma.f32`
5 434×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	74
0	38	71
1	155	71
2	1541	71
0	8642	71
0	9	20
0	13	20
1	57	20
2	473	20
3	7793	20
0	8232	20
0	203	2042
1	627	2042
2	1859	2042
3	6261	2042
0	8520	2042
0	103	728
1	314	728
2	876	728
3	2929	650
4	7509	650
0	8709	650

Stop Event

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

Compiler

Compiled 518 to 283 computations (45.4% saved)

preprocess175.0ms (2%)

Memory

-11.5MiB live, 105.2MiB allocated

Remove

(sort x y)

(negabs t)

Compiler

Compiled 508 to 186 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze80.0ms (0.9%)

sample901.0ms (10.5%)

preprocess282.0ms (3.3%)

explain126.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify209.0ms (2.4%)

localize27.0ms (0.3%)

series9.0ms (0.1%)

rewrite288.0ms (3.3%)

simplify334.0ms (3.9%)

eval190.0ms (2.2%)

prune201.0ms (2.3%)

simplify213.0ms (2.5%)

localize215.0ms (2.5%)

series91.0ms (1.1%)

rewrite692.0ms (8%)

simplify295.0ms (3.4%)

eval181.0ms (2.1%)

prune291.0ms (3.4%)

simplify209.0ms (2.4%)

localize91.0ms (1.1%)

series13.0ms (0.1%)

rewrite296.0ms (3.4%)

simplify315.0ms (3.7%)

eval121.0ms (1.4%)

prune111.0ms (1.3%)

simplify131.0ms (1.5%)

localize133.0ms (1.5%)

series7.0ms (0.1%)

rewrite481.0ms (5.6%)

simplify298.0ms (3.5%)

eval167.0ms (1.9%)

prune208.0ms (2.4%)

regimes118.0ms (1.4%)

regimes36.0ms (0.4%)

regimes19.0ms (0.2%)

regimes3.0ms (0%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes17.0ms (0.2%)

regimes2.0ms (0%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch28.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness965.0ms (11.2%)

preprocess175.0ms (2%)

end0.0ms (0%)

Profiling