Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 15 to 15 computations (0% saved)

sample1.2s (21.6%)

Memory

-31.9MiB live, 1 376.5MiB allocated

Samples

933.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 524.0ms

ival-div: 236.0ms (45% of total)

ival-mult: 114.0ms (21.8% of total)

ival-sub: 90.0ms (17.2% of total)

ival-add: 65.0ms (12.4% of total)

exact: 11.0ms (2.1% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess144.0ms (2.6%)

Memory

-14.5MiB live, 119.0MiB allocated

Algorithm

2×	egg-herbie

Rules

704×	`accelerator-lowering-fma.f32`
704×	`accelerator-lowering-fma.f64`
644×	`sub-neg`
348×	`unsub-neg`
342×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	175
1	164	166
2	405	165
3	1036	165
4	2181	165
5	2917	165
6	3116	165
7	3141	165
8	3150	165
9	3150	165
10	3152	165
11	3158	165
0	14	11
1	25	11
2	51	11
3	102	11
4	183	11
5	311	11
6	486	11
7	669	11
8	799	11
9	801	11
0	801	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)

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

Call 2

Inputs
(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)
(+ (- (* (/ 1 8) (neg x)) (/ (* y z) 2)) t)
(+ (- (* (/ 1 8) x) (/ (* (neg y) z) 2)) t)
(+ (- (* (/ 1 8) x) (/ (* y (neg z)) 2)) t)
(+ (- (* (/ 1 8) x) (/ (* y z) 2)) (neg t))
(neg (+ (- (* (/ 1 8) (neg x)) (/ (* y z) 2)) t))
(neg (+ (- (* (/ 1 8) x) (/ (* (neg y) z) 2)) t))
(neg (+ (- (* (/ 1 8) x) (/ (* y (neg z)) 2)) t))
(neg (+ (- (* (/ 1 8) x) (/ (* y z) 2)) (neg t)))
(+ (- (* (/ 1 8) y) (/ (* x z) 2)) t)
(+ (- (* (/ 1 8) z) (/ (* y x) 2)) t)
(+ (- (* (/ 1 8) t) (/ (* y z) 2)) x)
(+ (- (* (/ 1 8) x) (/ (* z y) 2)) t)
(+ (- (* (/ 1 8) x) (/ (* t z) 2)) y)
(+ (- (* (/ 1 8) x) (/ (* y t) 2)) z)

Outputs
(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)
(+ (* y (* z -1/2)) (+ (* 1/8 x) t))
(+ (- (* (/ 1 8) (neg x)) (/ (* y z) 2)) t)
(+ (* y (* z -1/2)) (+ t (* x -1/8)))
(+ (- (* (/ 1 8) x) (/ (* (neg y) z) 2)) t)
(+ (* y (* z 1/2)) (+ (* 1/8 x) t))
(+ (- (* (/ 1 8) x) (/ (* y (neg z)) 2)) t)
(+ (* y (* z 1/2)) (+ (* 1/8 x) t))
(+ (- (* (/ 1 8) x) (/ (* y z) 2)) (neg t))
(+ (* y (* z -1/2)) (- (* 1/8 x) t))
(neg (+ (- (* (/ 1 8) (neg x)) (/ (* y z) 2)) t))
(+ (* y (* z 1/2)) (- (* 1/8 x) t))
(neg (+ (- (* (/ 1 8) x) (/ (* (neg y) z) 2)) t))
(+ (* y (* z -1/2)) (- (* x -1/8) t))
(neg (+ (- (* (/ 1 8) x) (/ (* y (neg z)) 2)) t))
(+ (* y (* z -1/2)) (- (* x -1/8) t))
(neg (+ (- (* (/ 1 8) x) (/ (* y z) 2)) (neg t)))
(+ (* y (* z 1/2)) (+ t (* x -1/8)))
(+ (- (* (/ 1 8) y) (/ (* x z) 2)) t)
(+ (* x (* z -1/2)) (+ t (* 1/8 y)))
(+ (- (* (/ 1 8) z) (/ (* y x) 2)) t)
(- (* x (* y -1/2)) (- (* z -1/8) t))
(+ (- (* (/ 1 8) t) (/ (* y z) 2)) x)
(+ (* y (* z -1/2)) (+ x (* 1/8 t)))
(+ (- (* (/ 1 8) x) (/ (* z y) 2)) t)
(+ (* y (* z -1/2)) (+ (* 1/8 x) t))
(+ (- (* (/ 1 8) x) (/ (* t z) 2)) y)
(+ (* 1/8 x) (+ y (* t (* z -1/2))))
(+ (- (* (/ 1 8) x) (/ (* y t) 2)) z)
(+ (* 1/8 x) (- z (* y (* t 1/2))))

Symmetry

(sort y z)

explain125.0ms (2.2%)

Memory

4.4MiB live, 282.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
-	-	`#s(literal 8 binary64)`
-	-	`t`
-	-	`#s(literal 1 binary64)`
-	-	`z`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))`
-	-	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
-	-	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
-	-	`(*.f64 y z)`
-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
-	-	`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

39.0ms

512×

valid

Compiler

Compiled 132 to 56 computations (57.6% saved)

Precisions

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

ival-div: 7.0ms (36.2% of total)

ival-mult: 6.0ms (31% of total)

ival-sub: 2.0ms (10.3% of total)

ival-add: 2.0ms (10.3% of total)

exact: 1.0ms (5.2% of total)

ival-true: 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)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify35.0ms (0.6%)

Memory

23.1MiB live, 61.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
✓	cost-diff	192	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
✓	cost-diff	320	(/.f64 (*.f64 y z) #s(literal 2 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))

Rules

704×	`accelerator-lowering-fma.f32`
704×	`accelerator-lowering-fma.f64`
320×	`-lowering-.f32`
320×	`-lowering-.f64`
160×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	25	39
2	51	39
3	102	39
4	183	39
5	311	39
6	486	39
7	669	39
8	799	39
9	801	39
0	801	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)
(- (* (/ 1 8) x) (/ (* y z) 2))
(* (/ 1 8) x)
(/ 1 8)
1
8
x
(/ (* y z) 2)
(* y z)
y
z
2
t

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

localize36.0ms (0.6%)

Memory

-20.9MiB live, 57.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

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

ival-mult: 5.0ms (45.6% of total)

ival-div: 3.0ms (27.4% of total)

ival-sub: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (/ 1 8)>
#<alt (/ (* y z) 2)>
#<alt (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)>
#<alt (- (* (/ 1 8) x) (/ (* y z) 2))>
#<alt (* y z)>
#<alt (* (/ 1 8) x)>

Outputs
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (- t (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt t>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1/2 (* y z))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))>
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))>
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))>
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))>
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)
1.0ms	z	@	0	(/ (* y z) 2)
1.0ms	y	@	0	(/ (* y z) 2)
1.0ms	y	@	inf	(/ (* y z) 2)
0.0ms	z	@	inf	(/ (* y z) 2)

rewrite444.0ms (7.9%)

Memory

-8.1MiB live, 846.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 930×	`accelerator-lowering-fma.f32`
8 930×	`accelerator-lowering-fma.f64`
4 970×	`-lowering-.f32`
4 970×	`-lowering-.f64`
2 730×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	59	32
2	497	32
3	6456	32
0	8536	29

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 282

Calls

Call 1

Inputs
(/ 1 8)
(/ (* y z) 2)
(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)
(- (* (/ 1 8) x) (/ (* y z) 2))
(* y z)
(* (/ 1 8) x)

Outputs
#s(literal 1/8 binary64)
(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 (*.f64 y z) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 (*.f64 y z) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z)))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y z) #s(literal 1/2 binary64)))
(.f64 y (.f64 z #s(literal 1/2 binary64)))
(.f64 y (.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 z (.f64 y #s(literal 1/2 binary64)))
(.f64 z (.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 z (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 y z) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 y z) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y z))))
(.f64 (.f64 z #s(literal 1/2 binary64)) y)
(.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y z) #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y #s(literal -2 binary64)))
(.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 y z)))
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(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 x (*.f64 x #s(literal 1/64 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (fma.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (fma.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (fma.f64 #s(literal 1/8 binary64) x (.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))))) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))))))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (*.f64 y z) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))))) (fma.f64 y (.f64 (.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/64 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(.f64 #s(literal 1 binary64) (.f64 y z))
(*.f64 y z)
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(.f64 y (.f64 z #s(literal 1 binary64)))
(*.f64 z y)
(*.f64 z (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(.f64 z (.f64 y #s(literal 1 binary64)))
(.f64 (.f64 y z) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y z)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) y)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) z)
(.f64 (.f64 #s(literal 1 binary64) y) z)
(.f64 (.f64 #s(literal 1 binary64) z) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))

simplify352.0ms (6.3%)

Memory

-14.2MiB live, 568.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 994×	`accelerator-lowering-fma.f32`
10 994×	`accelerator-lowering-fma.f64`
2 884×	`-lowering-.f32`
2 884×	`-lowering-.f64`
1 240×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	958
1	241	958
2	633	958
3	1919	958
4	5140	958
0	8110	855

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* -1/2 (* y z))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* -1/2 (* y z))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1/2 (* y z))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1/2 (* y z))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)

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

eval53.0ms (0.9%)

Memory: 22.0MiB live, 146.5MiB allocated
Compiler: Compiled 12 179 to 873 computations (92.8% saved)

prune53.0ms (1%)

Memory

-9.9MiB live, 146.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	421	5	426
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	422	5	427

Accuracy

100.0%

Counts

427 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
▶	70.7%	(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) t)
▶	62.3%	(fma.f64 #s(literal 1/8 binary64) x t)
▶	30.1%	(fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))
▶	34.1%	t

Compiler

Compiled 90 to 68 computations (24.4% saved)

simplify7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))
✓	cost-diff	64	(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) t)
✓	cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x t)
✓	cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x t)
✓	cost-diff	64	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))

Rules

68×	`accelerator-lowering-fma.f32`
68×	`accelerator-lowering-fma.f64`
56×	`+-lowering-+.f64`
56×	`+-lowering-+.f32`
28×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	35	55
2	60	55
3	66	55
0	66	50

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* z -1/2) y) (+ (* 1/8 x) t))
(* z -1/2)
z
-1/2
y
(+ (* 1/8 x) t)
1/8
x
t
t
(+ (* 1/8 x) 0)
1/8
x
0
(+ (* 1/8 x) t)
1/8
x
t
(+ (* y (+ (* z -1/2) 0)) t)
y
(+ (* z -1/2) 0)
z
-1/2
0
t

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

localize68.0ms (1.2%)

Memory

-12.8MiB live, 108.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) t)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/8 binary64) x t)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/8 binary64) x t)
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))

Samples

50.0ms

256×

valid

Compiler

Compiled 55 to 18 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (49.7% of total)

ival-add: 5.0ms (41.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (+ (* (* z -1/2) y) (+ (* 1/8 x) t))>
#<alt (+ (* 1/8 x) t)>
#<alt (* z -1/2)>
#<alt (+ (* 1/8 x) 0)>
#<alt (+ (* y (+ (* z -1/2) 0)) t)>
#<alt (+ (* z -1/2) 0)>

Outputs
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))>
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))>
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))>
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))>
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))>
#<alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))>
#<alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt t>
#<alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))>
#<alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))>
#<alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))>
#<alt t>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (/ t x)))>
#<alt (* x (+ 1/8 (/ t x)))>
#<alt (* x (+ 1/8 (/ t x)))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))>
#<alt (* 1/8 x)>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt t>
#<alt (* t (+ 1 (* 1/8 (/ x t))))>
#<alt (* t (+ 1 (* 1/8 (/ x t))))>
#<alt (* t (+ 1 (* 1/8 (/ x t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))>
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))>
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))>
#<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 (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt t>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt t>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt t>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<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)>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* 1/8 x) 0)
0.0ms	z	@	inf	(+ (* z -1/2) 0)
0.0ms	z	@	inf	(* z -1/2)
0.0ms	z	@	-inf	(* z -1/2)
0.0ms	z	@	0	(+ (* (* z -1/2) y) (+ (* 1/8 x) t))

rewrite481.0ms (8.6%)

Memory

27.7MiB live, 878.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 400×	`accelerator-lowering-fma.f32`
10 400×	`accelerator-lowering-fma.f64`
4 148×	`-lowering-.f32`
4 148×	`-lowering-.f64`
3 806×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	95	32
2	903	32
0	8637	28

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 1 017

Calls

Call 1

Inputs
(+ (* (* z -1/2) y) (+ (* 1/8 x) t))
(+ (* 1/8 x) t)
(* z -1/2)
(+ (* 1/8 x) 0)
(+ (* y (+ (* z -1/2) 0)) t)
(+ (* z -1/2) 0)

Outputs
(+.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t))
(+.f64 t (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))
(+.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 0 binary64))
(+.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)))
(+.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) t)
(+.f64 (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) x t)))) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 #s(literal 1/8 binary64) x t)) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) x t))))))
(-.f64 (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) x t)))) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 #s(literal 1/8 binary64) x t)) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) x t)))))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 #s(literal 1/8 binary64) x t)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)))) (-.f64 (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) t)) (/.f64 (.f64 t t) (-.f64 (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) t)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) t))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x x) x) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) t))
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t))
(fma.f64 (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 #s(literal 1/8 binary64) x t)) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x t) (+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 z z) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 #s(literal 1/8 binary64) x t)) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 y y) (*.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 #s(literal 1/8 binary64) x t)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) x t))))))
(fma.f64 (fma.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64))) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (fma.f64 t (.f64 t t) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 z z) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 t (.f64 t t) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 y y) (*.f64 t (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/64 binary64) #s(literal 0 binary64))) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) t))
(fma.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) t))
(fma.f64 (fma.f64 t (.f64 t t) (fma.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t (fma.f64 x #s(literal -1/8 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 0 binary64)))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 (fma.f64 t (.f64 t t) (fma.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 t (fma.f64 x #s(literal -1/8 binary64) #s(literal 0 binary64)))))) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 (-.f64 (fma.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 #s(literal 1/8 binary64) x t))) (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))) #s(literal 0 binary64))
(fma.f64 (-.f64 (fma.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) t))) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)) t)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (.f64 t t) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t (+.f64 t (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 z z) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64))))) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) t)))) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/64 binary64) #s(literal 0 binary64))) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) t))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/64 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 0 binary64))) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) t))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (.f64 t t) (fma.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t (+.f64 t (fma.f64 x #s(literal -1/8 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal 0 binary64))))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)) t))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 #s(literal 1/8 binary64) x t)) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x t) (+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 z z) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (.f64 (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x t)) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) #s(literal 0 binary64)) (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 y y) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)))))) t)
(fma.f64 (fma.f64 (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) (.f64 (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)))) (.f64 t (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) (fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) (-.f64 (.f64 t t) (.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))) t)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) z)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) z))
(*.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)))
(.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) (.f64 z z)) (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 z z)))
(.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) z)) (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64)) z))
(.f64 (/.f64 (.f64 z (*.f64 z z)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 (.f64 z (*.f64 z z)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 z z)) #s(literal -1/2 binary64))
(.f64 (/.f64 (.f64 z (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 z z)))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 z z)) (/.f64 (.f64 z (.f64 z z)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) z)) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/8 binary64) z))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) z)) (/.f64 (.f64 z (.f64 z z)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 z (.f64 z z)) z))
(*.f64 (/.f64 (pow.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 z z)) (/.f64 (pow.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (pow.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 z z)))
(.f64 (/.f64 (pow.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) z)) (/.f64 (pow.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) z))
(*.f64 (/.f64 z z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 z #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) z))
(.f64 (/.f64 z (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z z) #s(literal -1/4 binary64) #s(literal 0 binary64)))))
(.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z z) #s(literal -1/4 binary64) #s(literal 0 binary64)))))
(.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 z z) z) #s(literal -1/2 binary64))
(.f64 (/.f64 (.f64 z z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) z))
(.f64 (/.f64 #s(literal 1/4 binary64) z) (/.f64 (.f64 z z) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 z z) (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) #s(literal -1/4 binary64) #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 z z) (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) #s(literal -1/4 binary64) #s(literal 0 binary64)))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) z) z) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) z))
(.f64 (/.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) #s(literal -1/4 binary64) #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) z) (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) z) (/.f64 z #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 z z))
(.f64 (/.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z z) #s(literal -1/4 binary64) #s(literal 0 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))

simplify296.0ms (5.3%)

Memory

-11.6MiB live, 359.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 462×	`accelerator-lowering-fma.f32`
6 462×	`accelerator-lowering-fma.f64`
2 736×	`-lowering-.f32`
2 736×	`-lowering-.f64`
2 114×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	878
1	300	878
2	848	878
3	2172	878
4	5361	878
5	7439	878
0	8200	757

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
t
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* 1/8 x)
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
t
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
t
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
t
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (/ t y)))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
t
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (/ t z)))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1/2 (* y z))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
t
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)

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

eval173.0ms (3.1%)

Memory: -23.5MiB live, 341.2MiB allocated
Compiler: Compiled 32 801 to 2 202 computations (93.3% saved)

prune173.0ms (3.1%)

Memory

20.2MiB live, 373.4MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 299	2	1 301
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 301	5	1 306

Accuracy

100.0%

Counts

1 306 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
▶	70.7%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
✓	62.3%	(fma.f64 #s(literal 1/8 binary64) x t)
▶	30.1%	(*.f64 x #s(literal 1/8 binary64))
✓	34.1%	t

Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
✓	cost-diff	(*.f64 x #s(literal 1/8 binary64))

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
12×	`*-commutative`
12×	`accelerator-lowering-fma.f32`
12×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	16	19
2	23	19
3	25	19
0	25	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x 1/8)
x
1/8
(+ (* (* z -1/2) y) t)
(* z -1/2)
z
-1/2
y
t

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

localize26.0ms (0.5%)

Memory

-30.9MiB live, 46.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/8 binary64))

Samples

16.0ms

256×

valid

Compiler

Compiled 20 to 12 computations (40% saved)

Precisions

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

ival-mult: 4.0ms (64.8% of total)

ival-add: 1.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (* x 1/8)>
#<alt (+ (* (* z -1/2) y) t)>
#<alt (* z -1/2)>

Outputs
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt t>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt t>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1/2 (* y z))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt t>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<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)>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x 1/8)
0.0ms	x	@	inf	(* x 1/8)
0.0ms	x	@	-inf	(* x 1/8)
0.0ms	z	@	0	(+ (* (* z -1/2) y) t)
0.0ms	z	@	-inf	(+ (* (* z -1/2) y) t)

rewrite475.0ms (8.5%)

Memory

44.5MiB live, 671.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 274×	`accelerator-lowering-fma.f32`
12 274×	`accelerator-lowering-fma.f64`
4 316×	`-lowering-.f32`
4 316×	`-lowering-.f64`
3 986×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	29	13
2	178	13
3	1809	13
0	8366	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 167

Calls

Call 1

Inputs
(* x 1/8)
(+ (* (* z -1/2) y) t)
(* z -1/2)

Outputs
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t)
(+.f64 t (.f64 (.f64 z #s(literal -1/2 binary64)) y))
(+.f64 (/.f64 (.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z)) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 t t) (-.f64 (.f64 (*.f64 z #s(literal -1/2 binary64)) y) t))))
(+.f64 (/.f64 (.f64 t t) (+.f64 t (.f64 (.f64 z y) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z)) (+.f64 t (.f64 (*.f64 z y) #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y t))) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) (-.f64 #s(literal 0 binary64) t))
(-.f64 (/.f64 (.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z)) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (*.f64 z #s(literal -1/2 binary64)) y) t)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)))
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(.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z)) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t)) (/.f64 (.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z)) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t))) (.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (*.f64 z #s(literal -1/2 binary64)) y) t)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512 binary64)) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))))) (fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t) (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t (.f64 t t)) (-.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))) #s(literal 1/64 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))))) (fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t) (.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (.f64 t (.f64 t t)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))))) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z))) (.f64 (.f64 t t) (fma.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z) (*.f64 t t))))))
(.f64 (/.f64 (.f64 (fma.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z) (.f64 t t)) (-.f64 (.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z)) (.f64 t t))) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z) (*.f64 t t))))
(.f64 (/.f64 (fma.f64 t (.f64 t t) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (fma.f64 (.f64 t (+.f64 t (.f64 (.f64 z y) #s(literal 1/2 binary64)))) (.f64 (.f64 t (+.f64 t (.f64 (.f64 z y) #s(literal 1/2 binary64)))) (.f64 t (+.f64 t (.f64 (.f64 z y) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64))))) (fma.f64 (.f64 t (+.f64 t (.f64 (.f64 z y) #s(literal 1/2 binary64)))) (-.f64 (.f64 t (+.f64 t (.f64 (.f64 z y) #s(literal 1/2 binary64)))) (.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z))) (.f64 z (.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z) (.f64 z (.f64 (.f64 (*.f64 y y) #s(literal 1/4 binary64)) z))))))
(.f64 (/.f64 (fma.f64 t (.f64 t t) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (.f64 (fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t) (.f64 t t)) (fma.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z) (.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 t (.f64 (.f64 z y) #s(literal 1/2 binary64))))))) (fma.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z) (.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 t (.f64 (.f64 z y) #s(literal 1/2 binary64))))))
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(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t) (.f64 t t)) (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512 binary64)) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t (.f64 t t)) (-.f64 (.f64 t (.f64 t t)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))) #s(literal 1/64 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t) (.f64 t t)) (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (.f64 t (.f64 t t)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t) (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z))) (.f64 (.f64 t t) (fma.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z) (*.f64 t t))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) y) t) (.f64 (fma.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z) (.f64 t t)) (-.f64 (.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z)) (.f64 t t)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) z) (*.f64 t t))))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)

simplify226.0ms (4%)

Memory

-28.2MiB live, 308.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 244×	`accelerator-lowering-fma.f32`
3 244×	`accelerator-lowering-fma.f64`
2 286×	`-lowering-.f32`
2 286×	`-lowering-.f64`
1 664×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	290
1	118	290
2	316	290
3	840	290
4	2141	290
5	4845	290
6	7110	290
7	7936	290
0	8123	263

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
t
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (/ t z)))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
t
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (/ t y)))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1/2 (* y z))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
t
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)

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

eval46.0ms (0.8%)

Memory: -14.1MiB live, 59.8MiB allocated
Compiler: Compiled 9 754 to 483 computations (95% saved)

prune69.0ms (1.2%)

Memory

25.9MiB live, 61.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	227	0	227
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	227	5	232

Accuracy

100.0%

Counts

232 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
✓	70.7%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
✓	62.3%	(fma.f64 #s(literal 1/8 binary64) x t)
✓	30.1%	(*.f64 x #s(literal 1/8 binary64))
✓	34.1%	t

Compiler

Compiled 94 to 56 computations (40.4% saved)

regimes56.0ms (1%)

Memory

-29.4MiB live, 54.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

9 calls:

29.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
4.0ms	x
3.0ms	y
3.0ms	t
3.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
100.0%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
100.0%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
100.0%	1	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes26.0ms (0.5%)

Memory

26.5MiB live, 64.9MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
t
(*.f64 x #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/8 binary64) x t)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) t)

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

Calls

9 calls:

4.0ms	t
3.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	z
3.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
84.6%	3	`x`
86.4%	3	`y`
83.2%	3	`z`
75.3%	3	`t`
75.4%	3	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
79.0%	5	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
84.6%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
88.8%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
88.8%	3	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes24.0ms (0.4%)

Memory

-24.3MiB live, 53.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
t
(*.f64 x #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/8 binary64) x t)

Outputs
(fma.f64 #s(literal 1/8 binary64) x t)

Calls

9 calls:

5.0ms	t
3.0ms	y
2.0ms	x
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Results

Accuracy	Segments	Branch
62.3%	1	`t`
62.3%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
62.3%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
62.3%	1	`z`
62.3%	1	`x`
62.3%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
62.3%	1	`y`
62.3%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
62.3%	1	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes20.0ms (0.4%)

Memory

4.7MiB live, 41.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
t
(*.f64 x #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))

Outputs
(*.f64 x #s(literal 1/8 binary64))
t
(*.f64 x #s(literal 1/8 binary64))

Calls

9 calls:

4.0ms	y
2.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
2.0ms	t

Results

Accuracy	Segments	Branch
38.1%	3	`y`
34.1%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
47.8%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
52.7%	3	`x`
49.3%	3	`t`
52.7%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
40.3%	4	`z`
34.1%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
34.1%	1	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes9.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
t

Outputs
t

Calls

6 calls:

1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
1.0ms	t
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
34.1%	1	`y`
34.1%	1	`z`
34.1%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
34.1%	1	`t`
34.1%	1	`x`
34.1%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`

Compiler

Compiled 44 to 36 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4753549651416126e-29	1.1242140200617204e-28
0.0ms	-2.4432490903794665e+91	-3.450048418984665e+84

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.970261704212817e+28	2.902094458570716e+50
0.0ms	-267458315564392260.0	-64245.417129891386

Compiler

Compiled 20 to 20 computations (0% saved)

simplify10.0ms (0.2%)

Memory

-15.1MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`if-if-or-not_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	58
1	41	58

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(if (<=.f64 (.f64 y z) #s(literal -20000000000000001591246497225609942863124522803338210318772879946975861504403522268283535360 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y t) (if (<=.f64 (.f64 y z) #s(literal 7136238463529799/356811923176489970264571492362373784095686656 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y t)))
(fma.f64 #s(literal 1/8 binary64) x t)
(if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -200000000000000000 binary64)) (.f64 x #s(literal 1/8 binary64)) (if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 99999999999999991433150857216 binary64)) t (.f64 x #s(literal 1/8 binary64))))
t

Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(if (<=.f64 (.f64 y z) #s(literal -20000000000000001591246497225609942863124522803338210318772879946975861504403522268283535360 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y t) (if (<=.f64 (.f64 y z) #s(literal 7136238463529799/356811923176489970264571492362373784095686656 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y t)))
(if (<=.f64 (.f64 z y) #s(literal -20000000000000001591246497225609942863124522803338210318772879946975861504403522268283535360 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y t) (if (<=.f64 (.f64 z y) #s(literal 7136238463529799/356811923176489970264571492362373784095686656 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y t)))
(fma.f64 #s(literal 1/8 binary64) x t)
(if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -200000000000000000 binary64)) (.f64 x #s(literal 1/8 binary64)) (if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 99999999999999991433150857216 binary64)) t (.f64 x #s(literal 1/8 binary64))))
(if (<=.f64 (.f64 x (/.f64 #s(literal 1 binary64) #s(literal 8 binary64))) #s(literal -200000000000000000 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 (.f64 x (/.f64 #s(literal 1 binary64) #s(literal 8 binary64))) #s(literal 99999999999999991433150857216 binary64)) t (.f64 #s(literal 1/8 binary64) x)))
t

soundness870.0ms (15.5%)

Memory

13.4MiB live, 527.4MiB allocated

Rules

10 994×	`accelerator-lowering-fma.f32`
10 994×	`accelerator-lowering-fma.f64`
10 400×	`accelerator-lowering-fma.f32`
10 400×	`accelerator-lowering-fma.f64`
8 930×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	878
1	300	878
2	848	878
3	2172	878
4	5361	878
5	7439	878
0	8200	757
0	16	32
1	95	32
2	903	32
0	8637	28
0	87	958
1	241	958
2	633	958
3	1919	958
4	5140	958
0	8110	855
0	14	32
1	59	32
2	497	32
3	6456	32
0	8536	29

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 146 to 86 computations (41.1% saved)

preprocess69.0ms (1.2%)

Memory: -6.6MiB live, 149.8MiB allocated
Remove: (sort y z)
Compiler: Compiled 228 to 122 computations (46.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	39
1	25	39
2	51	39
3	102	39
4	183	39
5	311	39
6	486	39
7	669	39
8	799	39
9	801	39
0	801	36

Iter	Nodes	Cost
0	14	39
1	25	39
2	51	39
3	102	39
4	183	39
5	311	39
6	486	39
7	669	39
8	799	39
9	801	39
0	801	36

analyze0.0ms (0%)

sample1.2s (21.6%)

preprocess144.0ms (2.6%)

explain125.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (0.6%)

localize36.0ms (0.6%)

series9.0ms (0.2%)

rewrite444.0ms (7.9%)

simplify352.0ms (6.3%)

eval53.0ms (0.9%)

prune53.0ms (1%)

simplify7.0ms (0.1%)

localize68.0ms (1.2%)

series7.0ms (0.1%)

rewrite481.0ms (8.6%)

simplify296.0ms (5.3%)

eval173.0ms (3.1%)

prune173.0ms (3.1%)

simplify5.0ms (0.1%)

localize26.0ms (0.5%)

series1.0ms (0%)

rewrite475.0ms (8.5%)

simplify226.0ms (4%)

eval46.0ms (0.8%)

prune69.0ms (1.2%)

regimes56.0ms (1%)

regimes26.0ms (0.5%)

regimes24.0ms (0.4%)

regimes20.0ms (0.4%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

soundness870.0ms (15.5%)

preprocess69.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	39
1	25	39
2	51	39
3	102	39
4	183	39
5	311	39
6	486	39
7	669	39
8	799	39
9	801	39
0	801	36