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

analyze181.0ms (2%)

Memory

2.6MiB live, 116.8MiB 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)

sample1.2s (12.8%)

Memory

1.0MiB live, 1 270.4MiB allocated

Samples

738.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

ival-div: 154.0ms (39.8% of total)

ival-sub: 83.0ms (21.5% of total)

ival-add: 83.0ms (21.5% of total)

ival-mult: 53.0ms (13.7% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess304.0ms (3.4%)

Memory

3.4MiB live, 136.8MiB 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)

explain307.0ms (3.4%)

Memory

-35.1MiB live, 121.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

238.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 80 to 40 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-add: 96.0ms (90.9% of total)

ival-div: 3.0ms (2.8% of total)

ival-mult: 3.0ms (2.8% of total)

ival-sub: 2.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify203.0ms (2.2%)

Memory

12.0MiB live, 171.4MiB 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)

localize25.0ms (0.3%)

Memory

-6.5MiB live, 31.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

17.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB 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	t	@	inf	(/ (- (+ x y) z) (* t 2))

rewrite287.0ms (3.2%)

Memory

9.9MiB live, 608.6MiB 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)))))
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 t (.f64 #s(literal 2 binary64) (-.f64 x y)))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)))
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(.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))

simplify310.0ms (3.4%)

Memory

5.1MiB live, 480.9MiB 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))

eval71.0ms (0.8%)

Memory: -1.6MiB live, 152.5MiB allocated
Compiler: Compiled 15 657 to 1 471 computations (90.6% saved)

prune88.0ms (1%)

Memory

12.3MiB live, 169.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	605	10	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	606	10	616

Accuracy

100.0%

Counts

616 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
	69.2%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
▶	65.9%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
	71.4%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
▶	33.8%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
	39.8%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
▶	38.1%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (+.f64 x (-.f64 y z)))))
▶	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x (-.f64 y z))))
▶	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z)))

Compiler

Compiled 234 to 170 computations (27.4% saved)

simplify303.0ms (3.4%)

Memory

-18.0MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(+.f64 x (-.f64 y z))
✓	cost-diff	0	(/.f64 t (+.f64 x (-.f64 y z)))
✓	cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x (-.f64 y z))))
✓	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

2 976×	`lower-fma.f64`
2 976×	`lower-fma.f32`
1 248×	`lower-*.f32`
1 240×	`lower-*.f64`
1 042×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	93
0	33	93
1	60	93
2	109	93
3	200	93
4	361	93
5	625	93
6	1185	93
7	2242	93
8	3820	93
9	5043	93
10	5619	93
11	5691	93
12	5703	93
13	5711	93
14	5977	93
15	6161	93
16	6387	93
17	6636	93
18	6721	93
19	6755	93
20	6755	93
21	6755	93
0	6755	93

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

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

localize78.0ms (0.9%)

Memory

-14.2MiB live, 105.7MiB allocated

Localize:

Found 15 expressions of interest:

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

37.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 95 to 22 computations (76.8% saved)

Precisions

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

ival-div: 10.0ms (51.5% of total)

ival-mult: 5.0ms (25.8% of total)

ival-sub: 3.0ms (15.5% of total)

ival-add: 1.0ms (5.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

13 → 360

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

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

Calls

90 calls:

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

rewrite517.0ms (5.7%)

Memory

-40.5MiB live, 497.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 184×	`lower-/.f32`
4 172×	`lower-/.f64`
3 696×	`lower-*.f32`
3 688×	`lower-*.f64`
2 346×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
0	33	65
1	130	65
2	996	65
0	8693	65

Stop Event

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

Counts

13 → 1 371

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

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

simplify406.0ms (4.5%)

Memory

13.1MiB live, 519.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 696×	`lower-fma.f64`
8 696×	`lower-fma.f32`
5 454×	`lower-*.f64`
5 454×	`lower-*.f32`
3 332×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	3045
1	1011	2986
2	3012	2903
0	8431	2844

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 350

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

eval248.0ms (2.7%)

Memory: 34.2MiB live, 369.3MiB allocated
Compiler: Compiled 43 387 to 3 041 computations (93% saved)

prune183.0ms (2%)

Memory

-13.5MiB live, 360.3MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 876	5	1 881
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	1 881	10	1 891

Accuracy

100.0%

Counts

1 891 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.6%	(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
▶	69.2%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	65.9%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	33.8%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
▶	39.8%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	38.1%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
	65.7%	(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z))))
▶	69.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z)))
▶	71.2%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
▶	33.7%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Compiler

Compiled 185 to 138 computations (25.4% saved)

simplify166.0ms (1.8%)

Memory

20.6MiB live, 97.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(/.f64 t (-.f64 y z))
✓	cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z)))
✓	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) 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 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

1 536×	`lower-fma.f64`
1 536×	`lower-fma.f32`
1 004×	`div-sub`
960×	`lower-*.f32`
952×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	75
0	31	75
1	56	75
2	101	75
3	148	75
4	245	75
5	369	75
6	588	75
7	970	75
8	1715	75
9	2827	75
10	3636	75
11	4347	75
12	4698	75
13	4824	75
14	4842	75
15	4896	75
16	4900	75
17	4900	75
0	4900	75

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

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

localize79.0ms (0.9%)

Memory

-21.1MiB live, 96.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(/.f64 t (-.f64 y z))
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z)))
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	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	99.7%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) t)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))

Samples

43.0ms

256×

valid

Compiler

Compiled 77 to 21 computations (72.7% saved)

Precisions

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

ival-div: 13.0ms (57.9% of total)

ival-mult: 5.0ms (22.3% of total)

ival-sub: 2.0ms (8.9% of total)

ival-add: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

12 → 288

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

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

Calls

72 calls:

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

rewrite277.0ms (3.1%)

Memory

4.9MiB live, 476.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 498×	`lower-*.f32`
4 490×	`lower-*.f64`
3 818×	`lower-/.f32`
3 806×	`lower-/.f64`
3 658×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	54
0	31	54
1	114	54
2	789	54
3	7855	54
0	8316	54

Stop Event

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

Counts

12 → 1 214

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

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

simplify458.0ms (5.1%)

Memory

26.7MiB live, 533.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 728×	`lower-fma.f64`
9 728×	`lower-fma.f32`
5 302×	`lower-*.f64`
5 302×	`lower-*.f32`
2 802×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	2155
1	652	2117
2	1902	1878
3	6659	1878
0	8259	1827

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 279

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

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

eval306.0ms (3.4%)

Memory: 3.0MiB live, 363.2MiB allocated
Compiler: Compiled 26 390 to 2 427 computations (90.8% saved)

prune231.0ms (2.6%)

Memory

-36.3MiB live, 379.2MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 617	1	1 618
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	1 617	11	1 628

Accuracy

100.0%

Counts

1 628 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.6%	(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
✓	69.2%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	65.9%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	33.8%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	39.8%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	38.1%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
▶	65.7%	(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z))))
✓	69.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z)))
✓	71.2%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
▶	39.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
✓	33.7%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Compiler

Compiled 116 to 87 computations (25% saved)

simplify128.0ms (1.4%)

Memory

20.3MiB live, 95.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	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 x z)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 x z))
✓	cost-diff	0	(*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z))))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)

Rules

1 104×	`lower-fma.f32`
1 102×	`lower-fma.f64`
884×	`div-sub`
816×	`lower-*.f32`
810×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	66
0	29	65
1	48	65
2	69	61
3	112	61
4	192	61
5	429	61
6	887	61
7	1335	61
8	1706	61
9	2405	61
10	2944	61
11	3287	61
12	3655	61
13	3773	61
14	3777	61
15	3783	61
16	3785	61
0	3785	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (0.6%)

Memory

8.3MiB live, 124.4MiB allocated

Localize:

Found 10 expressions of interest:

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

Samples

32.0ms

256×

valid

Compiler

Compiled 69 to 21 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 9.0ms (45.6% of total)

ival-mult: 6.0ms (30.4% of total)

ival-sub: 4.0ms (20.3% of total)

ival-add: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

-2.7MiB live, 36.7MiB allocated

Counts

10 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(* t (/ 2 (- x z)))
2.0ms	t	@	0	(* t (/ 2 (- x z)))
0.0ms	t	@	-inf	(* t (/ 2 (- x z)))
0.0ms	t	@	inf	(* t (/ 2 (- x z)))
0.0ms	z	@	inf	(* t (/ 2 (- x z)))

rewrite328.0ms (3.6%)

Memory

-11.9MiB live, 505.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 246×	`lower-fma.f32`
5 244×	`lower-fma.f64`
4 636×	`lower-*.f32`
4 630×	`lower-*.f64`
3 858×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	53
0	29	52
1	106	48
2	764	48
0	8939	48

Stop Event

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

Counts

10 → 730

Calls

Call 1

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

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

simplify596.0ms (6.6%)

Memory

0.9MiB live, 561.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 184×	`lower-fma.f64`
8 184×	`lower-fma.f32`
4 304×	`lower-*.f64`
4 304×	`lower-*.f32`
3 678×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	2037
1	953	1980
2	2686	1884
3	6639	1881
0	8393	1803

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 249

Calls

Call 1

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

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

eval117.0ms (1.3%)

Memory: 28.1MiB live, 297.1MiB allocated
Compiler: Compiled 16 403 to 1 665 computations (89.8% saved)

prune97.0ms (1.1%)

Memory

-21.4MiB live, 211.3MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	979	0	979
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	979	11	990

Accuracy

100.0%

Counts

990 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
✓	69.2%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	65.9%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	33.8%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	39.8%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	38.1%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	65.7%	(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 #s(literal 2 binary64) (-.f64 x z))))
✓	69.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z)))
✓	71.2%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
✓	39.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
✓	33.7%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Compiler

Compiled 249 to 135 computations (45.8% saved)

regimes59.0ms (0.7%)

Memory

1.3MiB live, 109.0MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

8 calls:

19.0ms	(+.f64 x y)
6.0ms	t
6.0ms	(*.f64 t #s(literal 2 binary64))
6.0ms	(-.f64 (+.f64 x y) z)
5.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
100.0%	1	`(-.f64 (+.f64 x y) z)`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes34.0ms (0.4%)

Memory

-3.0MiB live, 73.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	t
5.0ms	(*.f64 t #s(literal 2 binary64))
4.0ms	y
4.0ms	x
4.0ms	(-.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)

regimes55.0ms (0.6%)

Memory

-13.5MiB live, 63.5MiB 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) y)
(/.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 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 x z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))

Calls

8 calls:

25.0ms	y
8.0ms	(+.f64 x y)
4.0ms	(*.f64 t #s(literal 2 binary64))
4.0ms	t
4.0ms	x

Results

Accuracy	Segments	Branch
91.4%	2	`x`
91.1%	2	`y`
91.5%	3	`z`
75.0%	3	`t`
98.4%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
98.4%	2	`(-.f64 (+.f64 x y) z)`
99.4%	2	`(+.f64 x y)`
75.0%	3	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes29.0ms (0.3%)

Memory

-9.0MiB live, 30.3MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	y
3.0ms	x
3.0ms	(-.f64 (+.f64 x y) z)
3.0ms	(+.f64 x y)
3.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
90.4%	2	`y`
77.1%	2	`x`
83.2%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
83.3%	2	`(-.f64 (+.f64 x y) z)`
90.9%	2	`(+.f64 x y)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes10.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
87.0%	3	`z`
74.5%	3	`y`
80.3%	3	`(+.f64 x y)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0%)

Memory

8.2MiB live, 8.2MiB 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) y)
(/.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

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.9%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.1%)

Memory

-13.5MiB live, 25.4MiB 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) y)
(/.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

4 calls:

4.0ms	z
2.0ms	(-.f64 (+.f64 x y) z)
2.0ms	(+.f64 x y)
2.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
80.0%	3	`(+.f64 x y)`
71.0%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
71.0%	2	`(-.f64 (+.f64 x y) z)`
63.1%	4	`z`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes2.0ms (0%)

Memory

6.4MiB live, 6.4MiB 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) y)
(/.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
80.0%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
79.9%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.2%)

Memory

-13.4MiB live, 29.9MiB 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) y)

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

Calls

8 calls:

5.0ms	x
2.0ms	(*.f64 t #s(literal 2 binary64))
2.0ms	t
2.0ms	z
2.0ms	(-.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
59.7%	3	`z`
51.6%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
51.9%	2	`(-.f64 (+.f64 x y) z)`
58.0%	2	`y`
41.4%	2	`t`
41.4%	2	`(*.f64 t #s(literal 2 binary64))`
45.0%	2	`x`
58.9%	2	`(+.f64 x y)`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-8.1MiB live, 31.2MiB 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 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
1.0ms	(-.f64 (+.f64 x y) z)
1.0ms	(*.f64 t #s(literal 2 binary64))
1.0ms	(+.f64 x y)
1.0ms	x

Results

Accuracy	Segments	Branch
33.7%	1	`t`
33.7%	1	`(*.f64 t #s(literal 2 binary64))`
33.7%	1	`x`
33.7%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
33.7%	1	`(-.f64 (+.f64 x y) z)`
33.7%	1	`y`
33.7%	1	`z`
33.7%	1	`(+.f64 x y)`

Compiler

Compiled 56 to 42 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1115587575892994e-150	-3.726579952597299e-159

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	2.242464298621624e-81	1.1686770607316275e-80

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch23.0ms (0.3%)

Memory

9.9MiB live, 47.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.37527269788288e+108	1.4529704185896326e+118
7.0ms	-2.8107066641471793e+94	-8.053646430257082e+93

Samples

13.0ms

224×

valid

Compiler

Compiled 324 to 254 computations (21.6% saved)

Precisions

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

ival-add: 3.0ms (40.9% of total)

ival-sub: 1.0ms (13.6% of total)

ival-div: 1.0ms (13.6% of total)

ival-mult: 1.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.37527269788288e+108	1.4529704185896326e+118
1.0ms	-2.8107066641471793e+94	-8.053646430257082e+93

Compiler

Compiled 324 to 254 computations (21.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.242464298621624e-81	1.1686770607316275e-80
0.0ms	-1.6989433842634633e+54	-1.3669178999813266e+54

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.242464298621624e-81	1.1686770607316275e-80
0.0ms	-1.6989433842634633e+54	-1.3669178999813266e+54

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.242464298621624e-81	1.1686770607316275e-80
0.0ms	-1.6989433842634633e+54	-1.3669178999813266e+54

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.242464298621624e-81	1.1686770607316275e-80

Compiler

Compiled 16 to 16 computations (0% saved)

simplify38.0ms (0.4%)

Memory

-22.7MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
12×	`+-commutative_binary64`
8×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	210
1	66	210
2	73	210
3	75	210
4	76	210

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z)))
(if (<=.f64 (+.f64 x y) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 y x) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 z #s(literal -25000000000000000505471978178898674714402408080358943528444421405200100124954107733967445688320 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 300000000000000004667824838840052907280460419076318430010931174129250134349426710979495616974514234302861884260352 binary64)) (/.f64 (+.f64 y x) (.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 z #s(literal -25000000000000000505471978178898674714402408080358943528444421405200100124954107733967445688320 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 300000000000000004667824838840052907280460419076318430010931174129250134349426710979495616974514234302861884260352 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 -1499999999999999947296127146425134031770736733945069568 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 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 -1499999999999999947296127146425134031770736733945069568 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 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 -1499999999999999947296127146425134031770736733945069568 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)))
(if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (.f64 (/.f64 #s(literal 1/2 binary64) t) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z)))
(if (<=.f64 (+.f64 x y) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 y x) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 z #s(literal -25000000000000000505471978178898674714402408080358943528444421405200100124954107733967445688320 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 300000000000000004667824838840052907280460419076318430010931174129250134349426710979495616974514234302861884260352 binary64)) (/.f64 (+.f64 y x) (.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 z #s(literal -25000000000000000505471978178898674714402408080358943528444421405200100124954107733967445688320 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 300000000000000004667824838840052907280460419076318430010931174129250134349426710979495616974514234302861884260352 binary64)) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 z #s(literal -25000000000000000505471978178898674714402408080358943528444421405200100124954107733967445688320 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 300000000000000004667824838840052907280460419076318430010931174129250134349426710979495616974514234302861884260352 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 z #s(literal -25000000000000000505471978178898674714402408080358943528444421405200100124954107733967445688320 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 300000000000000004667824838840052907280460419076318430010931174129250134349426710979495616974514234302861884260352 binary64)) (.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -1499999999999999947296127146425134031770736733945069568 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 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 -1499999999999999947296127146425134031770736733945069568 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -1499999999999999947296127146425134031770736733945069568 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 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 -1499999999999999947296127146425134031770736733945069568 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (.f64 z (/.f64 #s(literal -1/2 binary64) t)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -1499999999999999947296127146425134031770736733945069568 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1499999999999999947296127146425134031770736733945069568 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (.f64 z (/.f64 #s(literal -1/2 binary64) t)) (*.f64 y (/.f64 #s(literal 1/2 binary64) t))))
(if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (.f64 (/.f64 #s(literal 1/2 binary64) t) y))
(if (<=.f64 (+.f64 x y) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (.f64 z (/.f64 #s(literal -1/2 binary64) t)) (.f64 y (/.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))

soundness1.0s (11.3%)

Memory

35.7MiB live, 781.8MiB allocated

Rules

8 696×	`lower-fma.f64`
8 696×	`lower-fma.f32`
7 612×	`lower-fma.f64`
7 612×	`lower-fma.f32`
5 454×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	54
0	31	54
1	114	54
2	789	54
3	7855	54
0	8316	54
0	20	65
0	33	65
1	130	65
2	996	65
0	8693	65
0	333	3045
1	1011	2986
2	3012	2903
0	8431	2844
0	103	728
1	314	728
2	876	728
3	2929	650
4	7509	650
0	8709	650
0	9	20
0	13	20
1	57	20
2	473	20
3	7793	20
0	8232	20

Stop Event

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

Compiler

Compiled 504 to 263 computations (47.8% saved)

preprocess140.0ms (1.6%)

Memory

1.8MiB live, 193.6MiB allocated

Remove

(sort x y)

(negabs t)

Compiler

Compiled 610 to 228 computations (62.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze181.0ms (2%)

sample1.2s (12.8%)

preprocess304.0ms (3.4%)

explain307.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify203.0ms (2.2%)

localize25.0ms (0.3%)

series9.0ms (0.1%)

rewrite287.0ms (3.2%)

simplify310.0ms (3.4%)

eval71.0ms (0.8%)

prune88.0ms (1%)

simplify303.0ms (3.4%)

localize78.0ms (0.9%)

series24.0ms (0.3%)

rewrite517.0ms (5.7%)

simplify406.0ms (4.5%)

eval248.0ms (2.7%)

prune183.0ms (2%)

simplify166.0ms (1.8%)

localize79.0ms (0.9%)

series16.0ms (0.2%)

rewrite277.0ms (3.1%)

simplify458.0ms (5.1%)

eval306.0ms (3.4%)

prune231.0ms (2.6%)

simplify128.0ms (1.4%)

localize58.0ms (0.6%)

series18.0ms (0.2%)

rewrite328.0ms (3.6%)

simplify596.0ms (6.6%)

eval117.0ms (1.3%)

prune97.0ms (1.1%)

regimes59.0ms (0.7%)

regimes34.0ms (0.4%)

regimes55.0ms (0.6%)

regimes29.0ms (0.3%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes16.0ms (0.2%)

regimes12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.3%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify38.0ms (0.4%)

soundness1.0s (11.3%)

preprocess140.0ms (1.6%)

end0.0ms (0%)

Profiling