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

analyze83.0ms (0.9%)

Memory

7.9MiB live, 122.6MiB 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)

sample808.0ms (8.5%)

Memory

-7.8MiB live, 1 335.2MiB allocated

Samples

528.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

ival-div: 111.0ms (39.3% of total)

ival-sub: 53.0ms (18.8% of total)

ival-add: 52.0ms (18.4% of total)

ival-mult: 51.0ms (18.1% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess295.0ms (3.1%)

Memory

3.9MiB live, 221.7MiB allocated

Algorithm

2×	egg-herbie

Rules

2 832×	`accelerator-lowering-fma.f32`
2 832×	`accelerator-lowering-fma.f64`
1 502×	`div-sub`
1 498×	`sub-neg`
1 298×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	146
1	171	135
2	512	135
3	1660	135
4	5365	135
5	7699	135
0	9	9
1	20	9
2	44	9
3	79	9
4	162	9
5	296	9
6	582	9
7	1367	9
8	2734	9
9	4711	9
10	5068	9
11	5112	9
12	5120	9
13	5120	9
14	5512	9
15	5680	9
16	5680	9
17	5680	9
0	5680	9

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(negabs t)

(sort x y)

explain86.0ms (0.9%)

Memory

11.6MiB live, 170.9MiB 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

31.0ms

512×

valid

Compiler

Compiled 80 to 40 computations (50% saved)

Precisions

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

ival-mult: 5.0ms (35% of total)

ival-div: 4.0ms (28% of total)

ival-add: 3.0ms (21% of total)

ival-sub: 2.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune2.0ms (0%)

Memory

-37.4MiB live, 1.4MiB 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)

simplify216.0ms (2.3%)

Memory

18.2MiB live, 172.9MiB 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×	`accelerator-lowering-fma.f32`
2 832×	`accelerator-lowering-fma.f64`
1 502×	`div-sub`
1 104×	`-lowering-.f32`
1 104×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	20	25
2	44	25
3	79	25
4	162	25
5	296	25
6	582	25
7	1367	25
8	2734	25
9	4711	25
10	5068	25
11	5112	25
12	5120	25
13	5120	25
14	5512	25
15	5680	25
16	5680	25
17	5680	25
0	5680	25

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize25.0ms (0.3%)

Memory

19.5MiB live, 55.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

17.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-sub: 4.0ms (46.9% of total)

ival-div: 2.0ms (23.4% of total)

ival-add: 1.0ms (11.7% of total)

ival-mult: 1.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-13.2MiB live, 22.4MiB allocated

Counts

4 → 120

Calls

Call 1

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

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
4.0ms	z	@	inf	(/ (- (+ x y) z) (* t 2))
1.0ms	x	@	inf	(/ (- (+ x y) z) (* t 2))
1.0ms	y	@	0	(/ (- (+ x y) z) (* t 2))
1.0ms	t	@	0	(/ (- (+ x y) z) (* t 2))
1.0ms	x	@	0	(/ (- (+ x y) z) (* t 2))

rewrite745.0ms (7.8%)

Memory

6.1MiB live, 374.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 046×	`-lowering-.f32`
5 046×	`-lowering-.f64`
4 338×	`/-lowering-/.f32`
4 338×	`/-lowering-/.f64`
3 708×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	53	20
2	469	20
3	7788	20
0	8227	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 505

Calls

Call 1

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

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

simplify577.0ms (6.1%)

Memory

19.4MiB live, 410.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 612×	`accelerator-lowering-fma.f32`
7 612×	`accelerator-lowering-fma.f64`
3 776×	`-lowering-.f32`
3 776×	`-lowering-.f64`
2 500×	`--lowering--.f32`

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 → 120

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))

eval168.0ms (1.8%)

Memory: -31.1MiB live, 147.1MiB allocated
Compiler: Compiled 15 763 to 1 473 computations (90.7% saved)

prune127.0ms (1.3%)

Memory

15.5MiB live, 175.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	616	9	625
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	617	9	626

Accuracy

100.0%

Counts

626 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.1%	(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
	64.8%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
▶	70.7%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
	70.2%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
▶	36.7%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
	33.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
▶	40.9%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
▶	99.5%	(/.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 204 to 148 computations (27.5% saved)

simplify297.0ms (3.1%)

Memory

-5.4MiB live, 184.8MiB 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×	`accelerator-lowering-fma.f32`
2 976×	`accelerator-lowering-fma.f64`
1 248×	`-lowering-.f32`
1 248×	`-lowering-.f64`
1 038×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	93
1	47	93
2	96	93
3	190	93
4	351	93
5	616	93
6	1175	93
7	2238	93
8	3812	93
9	5021	93
10	5589	93
11	5661	93
12	5673	93
13	5681	93
14	5947	93
15	6122	93
16	6353	93
17	6614	93
18	6707	93
19	6741	93
20	6741	93
21	6741	93
0	6741	93

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize73.0ms (0.8%)

Memory

-5.0MiB live, 158.4MiB 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	99.9%	(/.f64 t (+.f64 x (-.f64 y z)))
✓	accuracy	99.5%	(/.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

42.0ms

256×

valid

Compiler

Compiled 95 to 22 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 10.0ms (37.7% of total)

ival-mult: 7.0ms (26.4% of total)

ival-add: 6.0ms (22.6% of total)

ival-sub: 2.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

-1.1MiB live, 49.6MiB allocated

Counts

13 → 360

Calls

Call 1

Inputs
#<alt (* (/ 1/2 t) (+ x (- y z)))>
#<alt (/ 1/2 t)>
#<alt (+ x (- y z))>
#<alt (- y z)>
#<alt (/ (* 1/2 x) t)>
#<alt (* 1/2 x)>
#<alt (/ (* z -1/2) t)>
#<alt (* z -1/2)>
#<alt (/ (- x z) (* t 2))>
#<alt (- x z)>
#<alt (* t 2)>
#<alt (/ 1/2 (/ t (+ x (- y z))))>
#<alt (/ t (+ x (- 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	(/ (* 1/2 x) t)
3.0ms	t	@	0	(/ (- x z) (* t 2))
2.0ms	t	@	0	(/ 1/2 t)
1.0ms	t	@	inf	(/ (- x z) (* t 2))
1.0ms	t	@	0	(/ (* z -1/2) t)

rewrite414.0ms (4.3%)

Memory

-11.7MiB live, 656.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 184×	`/-lowering-/.f32`
4 184×	`/-lowering-/.f64`
3 696×	`-lowering-.f32`
3 696×	`-lowering-.f64`
2 346×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
1	117	65
2	983	65
0	8685	65

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1 371

Calls

Call 1

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

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

simplify348.0ms (3.6%)

Memory

29.3MiB live, 570.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 696×	`accelerator-lowering-fma.f32`
8 696×	`accelerator-lowering-fma.f64`
5 454×	`-lowering-.f32`
5 454×	`-lowering-.f64`
3 332×	`+-lowering-+.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 → 360

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

eval267.0ms (2.8%)

Memory: 1.6MiB live, 351.1MiB allocated
Compiler: Compiled 43 484 to 3 043 computations (93% saved)

prune252.0ms (2.6%)

Memory

-14.1MiB live, 371.4MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 893	5	1 898
Fresh	0	4	4
Picked	3	2	5
Done	0	0	0
Total	1 896	11	1 907

Accuracy

100.0%

Counts

1 907 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
	68.8%	(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
	64.8%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
▶	70.2%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓	36.7%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
	33.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	40.9%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
▶	70.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z)))
	70.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))
▶	70.0%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
▶	40.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)

Compiler

Compiled 224 to 164 computations (26.8% saved)

simplify374.0ms (3.9%)

Memory

19.0MiB live, 135.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 t (-.f64 x z))
✓	cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z)))
✓	cost-diff	0	(*.f64 t #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓	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))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
✓	cost-diff	0	(/.f64 z (*.f64 t #s(literal -2 binary64)))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) t)
✓	cost-diff	896	(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))

Rules

2 976×	`accelerator-lowering-fma.f32`
2 976×	`accelerator-lowering-fma.f64`
1 248×	`-lowering-.f32`
1 248×	`-lowering-.f64`
990×	`div-sub`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	22	99
1	48	99
2	80	99
3	118	99
4	177	99
5	255	99
6	404	99
7	633	99
8	1069	99
9	2083	99
10	3276	95
11	4462	95
12	5522	95
13	5664	95
14	5680	95
15	5686	95
16	5778	95
17	5979	95
18	6481	95
19	6593	95
20	6597	95
21	6601	95
22	6609	95
23	6613	95
24	6613	95
25	6613	95
26	6613	95
0	6613	95

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize66.0ms (0.7%)

Memory

-1.5MiB live, 113.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(/.f64 t (-.f64 x z))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z)))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓	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))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) t)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 t #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x y) t)
✓	accuracy	96.7%	(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))

Samples

40.0ms

256×

valid

Compiler

Compiled 100 to 24 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 10.0ms (44.2% of total)

ival-mult: 7.0ms (30.9% of total)

ival-add: 4.0ms (17.7% of total)

ival-sub: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-19.6MiB live, 21.6MiB allocated

Counts

14 → 384

Calls

Call 1

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

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

96 calls:

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

rewrite350.0ms (3.7%)

Memory

14.4MiB live, 523.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 754×	`accelerator-lowering-fma.f32`
5 754×	`accelerator-lowering-fma.f64`
4 716×	`/-lowering-/.f32`
4 716×	`/-lowering-/.f64`
4 166×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
1	133	72
2	1257	72
0	8573	71

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1 259

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) t) (/.f64 z (.f64 t #s(literal -2 binary64))))
(+.f64 (/.f64 z (.f64 t #s(literal -2 binary64))) (/.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) t))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 t t)) (/.f64 (-.f64 (-.f64 (neg.f64 x) y) z) (.f64 t #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 t t))) (/.f64 (-.f64 (-.f64 (neg.f64 x) y) z) (.f64 t #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) t) (/.f64 z (.f64 t #s(literal 2 binary64))))
(-.f64 (/.f64 z (.f64 t #s(literal -2 binary64))) (/.f64 (+.f64 x y) (.f64 t #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 t t)) (/.f64 (-.f64 (-.f64 (neg.f64 x) y) z) (.f64 t #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 t t))) (/.f64 (-.f64 (-.f64 (neg.f64 x) y) z) (.f64 t #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 t t))) (/.f64 (-.f64 z (-.f64 (neg.f64 x) y)) (.f64 t #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 t t)) (/.f64 (-.f64 z (-.f64 (neg.f64 x) y)) (.f64 t #s(literal -2 binary64)))))
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) t) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 z (neg.f64 t)) (/.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) t))
(fma.f64 (/.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) t) #s(literal 1 binary64) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) t) (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) t) (/.f64 (-.f64 x y) (-.f64 x y)) (/.f64 z (.f64 t #s(literal -2 binary64))))
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) t))
(fma.f64 (/.f64 z (.f64 t #s(literal -2 binary64))) #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) t))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y) (/.f64 z (*.f64 t #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z) (/.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) t))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) (/.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) t))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 x) y) t) (/.f64 z (*.f64 t #s(literal -2 binary64))))
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(fma.f64 (/.f64 t (.f64 (-.f64 x z) (+.f64 x z))) z (.f64 (/.f64 t (*.f64 (-.f64 x z) (+.f64 x z))) x))
(neg.f64 (/.f64 t (+.f64 z (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 t (+.f64 z (neg.f64 x))) #s(literal 1 binary64)))
(/.f64 t (-.f64 x z))
(/.f64 (/.f64 t (-.f64 x z)) #s(literal 1 binary64))
(/.f64 (/.f64 t (+.f64 z (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 t) (+.f64 z (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) t))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (neg.f64 x)) t))
(pow.f64 (/.f64 t (-.f64 x z)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 x z) t) #s(literal -1 binary64))
(*.f64 t (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (/.f64 t (-.f64 x z)) #s(literal 1 binary64))
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 x z)))
(*.f64 #s(literal 1 binary64) (/.f64 t (-.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) t)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 t (+.f64 z (neg.f64 x))))
(.f64 (/.f64 t (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (.f64 z (+.f64 x z))))
(.f64 (/.f64 t (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 z (+.f64 x z))))))
(.f64 (/.f64 t (.f64 (-.f64 x z) (+.f64 x z))) (+.f64 x z))
(.f64 (/.f64 t (.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x z)))
(*.f64 (pow.f64 (/.f64 (-.f64 x z) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 x z) t) #s(literal -1/2 binary64)))
(+.f64 x (neg.f64 z))
(+.f64 (neg.f64 z) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 x z))))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 z))
(-.f64 x z)
(-.f64 #s(literal 0 binary64) (+.f64 z (neg.f64 x)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z)))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x z)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 z z) (+.f64 x z)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 z))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 z (+.f64 x z)))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 x z))))
(fma.f64 #s(literal 1 binary64) x (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) x)
(fma.f64 #s(literal -1 binary64) z x)
(neg.f64 (+.f64 z (neg.f64 x)))
(/.f64 (-.f64 x z) #s(literal 1 binary64))
(/.f64 (+.f64 z (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) (fma.f64 x x (-.f64 (.f64 z z) (.f64 x (neg.f64 z)))))
(/.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 z z) (.f64 x (neg.f64 z)))) (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z))))
(/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (+.f64 x z))
(/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (neg.f64 (neg.f64 (+.f64 x z))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x z)))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z))) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z))) (neg.f64 (fma.f64 x x (-.f64 (.f64 z z) (.f64 x (neg.f64 z))))))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 z z)) (neg.f64 (+.f64 x z)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) (*.f64 z z))) (+.f64 x z))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) (*.f64 z z))) (neg.f64 (neg.f64 (+.f64 x z))))
(/.f64 (fma.f64 z (neg.f64 (.f64 z z)) (.f64 x (.f64 x x))) (fma.f64 z z (-.f64 (.f64 x x) (*.f64 (neg.f64 z) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) (fma.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (*.f64 z (+.f64 x z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 x x) (+.f64 x z)) (fma.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z)) (.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))))))
(/.f64 (-.f64 (.f64 z z) (.f64 x x)) (-.f64 (neg.f64 z) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 x x) (+.f64 x z))) (.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z)))) (+.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64))
(*.f64 (-.f64 x z) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 z (+.f64 x z)))))
(.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 z z) (*.f64 x (neg.f64 z))))))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(.f64 (.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 #s(literal -1 binary64) (+.f64 z (neg.f64 x)))
(.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z))))))
(.f64 (fma.f64 x (neg.f64 x) (.f64 z z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x z))))
(+.f64 #s(literal 0 binary64) (*.f64 t #s(literal -2 binary64)))
(-.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 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.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 #s(literal 0 binary64) (.f64 (.f64 t (.f64 t t)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (.f64 t t) (.f64 #s(literal 0 binary64) (.f64 t #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) (.f64 t t))) (*.f64 t #s(literal 2 binary64)))
(*.f64 t #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) t)
(.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 t))
(*.f64 (neg.f64 t) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 t #s(literal 2 binary64)))

simplify383.0ms (4%)

Memory

18.1MiB live, 532.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 568×	`accelerator-lowering-fma.f32`
7 568×	`accelerator-lowering-fma.f64`
4 238×	`-lowering-.f32`
4 238×	`-lowering-.f64`
3 610×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	266	3112
1	812	3074
2	2413	2861
3	6672	2861
0	8368	2746

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

eval266.0ms (2.8%)

Memory: 16.9MiB live, 472.5MiB allocated
Compiler: Compiled 29 895 to 2 397 computations (92% saved)

prune365.0ms (3.8%)

Memory

-31.1MiB live, 389.2MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 750	2	1 752
Fresh	1	3	4
Picked	1	4	5
Done	0	2	2
Total	1 752	11	1 763

Accuracy

100.0%

Counts

1 763 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.8%	(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
▶	62.5%	(fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
▶	64.8%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	70.2%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓	36.7%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
▶	33.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	40.9%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	70.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z)))
▶	70.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))
✓	70.0%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
✓	40.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)

Compiler

Compiled 178 to 131 computations (26.4% saved)

simplify103.0ms (1.1%)

Memory

40.6MiB live, 117.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1 392×	`accelerator-lowering-fma.f32`
1 392×	`accelerator-lowering-fma.f64`
816×	`-lowering-.f32`
816×	`-lowering-.f64`
690×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	91
1	49	91
2	91	91
3	146	91
4	254	91
5	415	91
6	726	91
7	1288	91
8	2318	91
9	3473	91
10	3569	91
11	3636	91
12	3680	91
13	3680	91
0	3680	91

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize164.0ms (1.7%)

Memory

-27.6MiB live, 127.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z t)
✓	accuracy	100.0%	(/.f64 x (*.f64 t #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	98.3%	(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 z (*.f64 t #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 y t)
✓	accuracy	100.0%	(*.f64 t #s(literal -2 binary64))
✓	accuracy	97.6%	(fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	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	100.0%	(-.f64 x z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))

Samples

125.0ms

256×

valid

Compiler

Compiled 99 to 27 computations (72.7% saved)

Precisions

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

ival-div: 91.0ms (85.8% of total)

ival-mult: 8.0ms (7.5% of total)

ival-sub: 4.0ms (3.8% of total)

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

exact: 1.0ms (0.9% of total)

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

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

series21.0ms (0.2%)

Memory

6.1MiB live, 42.7MiB allocated

Counts

15 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
5.0ms	t	@	-inf	(+ (* (/ y t) 1/2) (/ z (* t -2)))
2.0ms	x	@	inf	(+ (* (/ z t) -1/2) (/ x (* t 2)))
1.0ms	t	@	0	(/ (- y z) (* t 2))
1.0ms	t	@	0	(/ (* 1/2 y) t)
1.0ms	t	@	inf	(/ (- y z) (* t 2))

rewrite447.0ms (4.7%)

Memory

-36.9MiB live, 676.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 524×	`accelerator-lowering-fma.f32`
6 524×	`accelerator-lowering-fma.f64`
5 304×	`/-lowering-/.f32`
5 304×	`/-lowering-/.f64`
3 528×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	67
1	136	67
2	1552	67
0	8407	67

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 263

Calls

Call 1

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

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

simplify456.0ms (4.8%)

Memory

23.2MiB live, 449.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 422×	`accelerator-lowering-fma.f32`
6 422×	`accelerator-lowering-fma.f64`
3 822×	`-lowering-.f32`
3 822×	`-lowering-.f64`
1 858×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1974
1	310	1974
2	904	1734
3	2987	1734
4	5469	1734
0	8122	1734

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval237.0ms (2.5%)

Memory: 23.8MiB live, 483.1MiB allocated
Compiler: Compiled 27 163 to 1 855 computations (93.2% saved)

prune134.0ms (1.4%)

Memory

-38.7MiB live, 356.9MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	1 657	0	1 657
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	1 657	11	1 668

Accuracy

100.0%

Counts

1 668 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.8%	(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))))
✓	62.5%	(fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))
✓	64.8%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	70.2%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓	36.7%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	33.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	40.9%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	70.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z)))
✓	70.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))
✓	70.0%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))
✓	40.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)

Compiler

Compiled 254 to 133 computations (47.6% saved)

regimes80.0ms (0.8%)

Memory

3.2MiB live, 79.3MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

8 calls:

27.0ms	(-.f64 (+.f64 x y) z)
19.0ms	y
6.0ms	(*.f64 t #s(literal 2 binary64))
6.0ms	z
5.0ms	x

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)

regimes38.0ms (0.4%)

Memory

-1.1MiB live, 77.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	y
6.0ms	(-.f64 (+.f64 x y) z)
4.0ms	(*.f64 t #s(literal 2 binary64))
4.0ms	(+.f64 x y)
4.0ms	x

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)

regimes30.0ms (0.3%)

Memory

23.6MiB live, 62.7MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
93.5%	2	`x`
92.3%	2	`y`
92.3%	3	`z`
80.0%	4	`t`
97.8%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
97.5%	2	`(-.f64 (+.f64 x y) z)`
98.2%	2	`(+.f64 x y)`
80.0%	4	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes15.0ms (0.2%)

Memory

-7.4MiB live, 31.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(+.f64 x y)
3.0ms	x
3.0ms	(-.f64 (+.f64 x y) z)
3.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
79.4%	2	`x`
83.3%	2	`(-.f64 (+.f64 x y) z)`
84.3%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
92.7%	2	`(+.f64 x y)`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
92.6%	2	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
92.5%	2	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.2%)

Memory

-0.7MiB live, 37.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
70.0%	1	`(-.f64 (+.f64 x y) z)`
70.0%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
84.3%	3	`z`
74.4%	3	`y`
81.8%	3	`(+.f64 x y)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes9.0ms (0.1%)

Memory

-21.9MiB live, 22.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
2.0ms	x
2.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
67.0%	3	`x`
80.4%	3	`(+.f64 x y)`
64.3%	3	`z`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes46.0ms (0.5%)

Memory

-7.8MiB live, 31.8MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

6 calls:

36.0ms	y
2.0ms	(+.f64 x y)
2.0ms	(*.f64 t #s(literal 2 binary64))
2.0ms	t
2.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
68.7%	2	`(-.f64 (+.f64 x y) z)`
68.7%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
60.3%	2	`y`
43.4%	2	`t`
43.4%	2	`(*.f64 t #s(literal 2 binary64))`
68.4%	2	`(+.f64 x y)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes13.0ms (0.1%)

Memory

27.4MiB live, 27.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
40.9%	1	`t`
40.9%	1	`(*.f64 t #s(literal 2 binary64))`
40.9%	1	`y`
40.9%	1	`z`
40.9%	1	`x`
40.9%	1	`(+.f64 x y)`
40.9%	1	`(-.f64 (+.f64 x y) z)`
40.9%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes21.0ms (0.2%)

Memory

-13.2MiB live, 25.5MiB 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) x)

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

Calls

8 calls:

12.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
2.0ms	(-.f64 (+.f64 x y) z)
1.0ms	(*.f64 t #s(literal 2 binary64))
1.0ms	y
1.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
40.9%	1	`y`
40.9%	1	`(+.f64 x y)`
40.9%	1	`(-.f64 (+.f64 x y) z)`
40.9%	1	`z`
40.9%	1	`x`
40.9%	1	`t`
40.9%	1	`(*.f64 t #s(literal 2 binary64))`
40.9%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`

Compiler

Compiled 56 to 42 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.991885232452648e-121	-3.6598910996512883e-124

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3375645741201034e+75	5.431570443442388e+75

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	1.3375645741201034e+75	5.431570443442388e+75

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	1.3375645741201034e+75	5.431570443442388e+75

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch24.0ms (0.3%)

Memory

6.1MiB live, 44.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.7740841571998451e+81	9.80313167012821e+85
12.0ms	-3.600247199265606e+96	-1.0215120240551674e+92

Samples

14.0ms

256×

valid

Compiler

Compiled 368 to 288 computations (21.7% saved)

Precisions

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

ival-div: 2.0ms (32.6% of total)

ival-sub: 1.0ms (16.3% of total)

ival-add: 1.0ms (16.3% of total)

ival-mult: 1.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3375645741201034e+75	5.431570443442388e+75
0.0ms	-4243028612310464500.0	-2159489172538404600.0

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.30734277555394e-245	0.0

Compiler

Compiled 16 to 16 computations (0% saved)

simplify12.0ms (0.1%)

Memory

-22.2MiB live, 17.8MiB 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	50	178
1	67	178
2	74	178
3	76	178
4	77	178

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 -5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 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 1999999999999999853079562352962397847017606430398935774525292839560724611072 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 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (+.f64 y x) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)))
(if (<=.f64 z #s(literal -300000000000000013013189092385755821987087997485581793537532136800835043866904333282397126656 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 52000000000000002141145421353206155097393407824367153572709555366906721973564551987200 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 -4000000000000000000 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #s(literal -615015778615681/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)

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 -5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 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 1999999999999999853079562352962397847017606430398935774525292839560724611072 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 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (+.f64 y x) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)))
(if (<=.f64 (+.f64 x y) #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t)))
(if (<=.f64 z #s(literal -300000000000000013013189092385755821987087997485581793537532136800835043866904333282397126656 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 52000000000000002141145421353206155097393407824367153572709555366906721973564551987200 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 -300000000000000013013189092385755821987087997485581793537532136800835043866904333282397126656 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 52000000000000002141145421353206155097393407824367153572709555366906721973564551987200 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 -4000000000000000000 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 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 -4000000000000000000 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 (+.f64 x y) #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #s(literal -615015778615681/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #s(literal -615015778615681/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) t)
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))

soundness923.0ms (9.7%)

Memory

42.1MiB live, 707.2MiB allocated

Rules

8 696×	`accelerator-lowering-fma.f32`
8 696×	`accelerator-lowering-fma.f64`
7 612×	`accelerator-lowering-fma.f32`
7 612×	`accelerator-lowering-fma.f64`
5 454×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
1	117	65
2	983	65
0	8685	65
0	333	3045
1	1011	2986
2	3012	2903
0	8431	2844
0	9	20
1	53	20
2	469	20
3	7788	20
0	8227	20
0	103	728
1	314	728
2	876	728
3	2929	650
4	7509	650
0	8709	650

Stop Event

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

Compiler

Compiled 427 to 227 computations (46.8% saved)

preprocess101.0ms (1.1%)

Memory

-23.1MiB live, 175.4MiB allocated

Remove

(sort x y)

(negabs t)

Compiler

Compiled 606 to 260 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze83.0ms (0.9%)

sample808.0ms (8.5%)

preprocess295.0ms (3.1%)

explain86.0ms (0.9%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify216.0ms (2.3%)

localize25.0ms (0.3%)

series13.0ms (0.1%)

rewrite745.0ms (7.8%)

simplify577.0ms (6.1%)

eval168.0ms (1.8%)

prune127.0ms (1.3%)

simplify297.0ms (3.1%)

localize73.0ms (0.8%)

series27.0ms (0.3%)

rewrite414.0ms (4.3%)

simplify348.0ms (3.6%)

eval267.0ms (2.8%)

prune252.0ms (2.6%)

simplify374.0ms (3.9%)

localize66.0ms (0.7%)

series17.0ms (0.2%)

rewrite350.0ms (3.7%)

simplify383.0ms (4%)

eval266.0ms (2.8%)

prune365.0ms (3.8%)

simplify103.0ms (1.1%)

localize164.0ms (1.7%)

series21.0ms (0.2%)

rewrite447.0ms (4.7%)

simplify456.0ms (4.8%)

eval237.0ms (2.5%)

prune134.0ms (1.4%)

regimes80.0ms (0.8%)

regimes38.0ms (0.4%)

regimes30.0ms (0.3%)

regimes15.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes46.0ms (0.5%)

regimes13.0ms (0.1%)

regimes21.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch24.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness923.0ms (9.7%)

preprocess101.0ms (1.1%)

end0.0ms (0%)

Profiling