Metrics for Linear.V3:$cdot from linear-1.19.1.3, B

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
100%	99.7%	0%	0.3%	0%	0%	0%	1

Compiler

Compiled 13 to 13 computations (0% saved)

sample960.0ms (10.5%)

Memory

6.0MiB live, 1 262.9MiB allocated

Samples

666.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-mult: 240.0ms (69.4% of total)

ival-add: 97.0ms (28% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess180.0ms (2%)

Memory

15.4MiB live, 54.2MiB allocated

Algorithm

2×	egg-herbie

Rules

518×	`sub-neg`
398×	`unsub-neg`
360×	`associate--r+`
328×	`associate-+l-`
268×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	326
1	223	312
2	380	308
3	791	308
4	1534	308
5	2394	308
6	2918	308
7	2966	308
8	2968	308
9	2968	308
10	2968	308
11	2968	308
0	11	11
1	18	11
2	25	11
3	27	11
0	27	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x y) (* z t)) (* a b))

Outputs
(+ (+ (* x y) (* z t)) (* a b))
(fma.f64 z t (fma.f64 x y (*.f64 a b)))

Call 2

Inputs
(+ (+ (* x y) (* z t)) (* a b))
(+ (+ (* (neg x) y) (* z t)) (* a b))
(+ (+ (* x (neg y)) (* z t)) (* a b))
(+ (+ (* x y) (* (neg z) t)) (* a b))
(+ (+ (* x y) (* z (neg t))) (* a b))
(+ (+ (* x y) (* z t)) (* (neg a) b))
(+ (+ (* x y) (* z t)) (* a (neg b)))
(neg (+ (+ (* (neg x) y) (* z t)) (* a b)))
(neg (+ (+ (* x (neg y)) (* z t)) (* a b)))
(neg (+ (+ (* x y) (* (neg z) t)) (* a b)))
(neg (+ (+ (* x y) (* z (neg t))) (* a b)))
(neg (+ (+ (* x y) (* z t)) (* (neg a) b)))
(neg (+ (+ (* x y) (* z t)) (* a (neg b))))
(+ (+ (* y x) (* z t)) (* a b))
(+ (+ (* z y) (* x t)) (* a b))
(+ (+ (* t y) (* z x)) (* a b))
(+ (+ (* a y) (* z t)) (* x b))
(+ (+ (* b y) (* z t)) (* a x))
(+ (+ (* x z) (* y t)) (* a b))
(+ (+ (* x t) (* z y)) (* a b))
(+ (+ (* x a) (* z t)) (* y b))
(+ (+ (* x b) (* z t)) (* a y))
(+ (+ (* x y) (* t z)) (* a b))
(+ (+ (* x y) (* a t)) (* z b))
(+ (+ (* x y) (* b t)) (* a z))
(+ (+ (* x y) (* z a)) (* t b))
(+ (+ (* x y) (* z b)) (* a t))
(+ (+ (* x y) (* z t)) (* b a))

Outputs
(+ (+ (* x y) (* z t)) (* a b))
(+ (* x y) (+ (* z t) (* a b)))
(+ (+ (* (neg x) y) (* z t)) (* a b))
(+ (* z t) (- (* a b) (* x y)))
(+ (+ (* x (neg y)) (* z t)) (* a b))
(+ (* z t) (- (* a b) (* x y)))
(+ (+ (* x y) (* (neg z) t)) (* a b))
(+ (* x y) (- (* a b) (* z t)))
(+ (+ (* x y) (* z (neg t))) (* a b))
(+ (* x y) (- (* a b) (* z t)))
(+ (+ (* x y) (* z t)) (* (neg a) b))
(+ (* x y) (- (* z t) (* a b)))
(+ (+ (* x y) (* z t)) (* a (neg b)))
(+ (* x y) (- (* z t) (* a b)))
(neg (+ (+ (* (neg x) y) (* z t)) (* a b)))
(- (* x y) (+ (* z t) (* a b)))
(neg (+ (+ (* x (neg y)) (* z t)) (* a b)))
(- (* x y) (+ (* z t) (* a b)))
(neg (+ (+ (* x y) (* (neg z) t)) (* a b)))
(- (* z t) (+ (* x y) (* a b)))
(neg (+ (+ (* x y) (* z (neg t))) (* a b)))
(- (* z t) (+ (* x y) (* a b)))
(neg (+ (+ (* x y) (* z t)) (* (neg a) b)))
(- (* a b) (+ (* x y) (* z t)))
(neg (+ (+ (* x y) (* z t)) (* a (neg b))))
(- (* a b) (+ (* x y) (* z t)))
(+ (+ (* y x) (* z t)) (* a b))
(+ (* x y) (+ (* z t) (* a b)))
(+ (+ (* z y) (* x t)) (* a b))
(+ (* a b) (+ (* y z) (* x t)))
(+ (+ (* t y) (* z x)) (* a b))
(+ (* a b) (+ (* y t) (* x z)))
(+ (+ (* a y) (* z t)) (* x b))
(+ (* z t) (+ (* y a) (* x b)))
(+ (+ (* b y) (* z t)) (* a x))
(+ (* z t) (+ (* x a) (* y b)))
(+ (+ (* x z) (* y t)) (* a b))
(+ (* a b) (+ (* y t) (* x z)))
(+ (+ (* x t) (* z y)) (* a b))
(+ (* a b) (+ (* y z) (* x t)))
(+ (+ (* x a) (* z t)) (* y b))
(+ (* z t) (+ (* x a) (* y b)))
(+ (+ (* x b) (* z t)) (* a y))
(+ (* z t) (+ (* y a) (* x b)))
(+ (+ (* x y) (* t z)) (* a b))
(+ (* x y) (+ (* z t) (* a b)))
(+ (+ (* x y) (* a t)) (* z b))
(+ (* x y) (+ (* t a) (* z b)))
(+ (+ (* x y) (* b t)) (* a z))
(+ (* x y) (+ (* z a) (* t b)))
(+ (+ (* x y) (* z a)) (* t b))
(+ (* x y) (+ (* z a) (* t b)))
(+ (+ (* x y) (* z b)) (* a t))
(+ (* x y) (+ (* t a) (* z b)))
(+ (+ (* x y) (* z t)) (* b a))
(+ (* x y) (+ (* z t) (* a b)))

Symmetry

(sort x y)

(sort z t)

(sort a b)

explain566.0ms (6.2%)

Memory

-15.1MiB live, 186.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
1	-	-	`(+.f64 (.f64 x y) (.f64 z t))`
0	-	-	`a`
0	-	-	`t`
0	-	-	`(*.f64 z t)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`y`
0	-	-	`b`
0	-	-	`(*.f64 a b)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	30
↳	`(+.f64 (.f64 x y) (.f64 z t))`	overflow	59
↳	`(*.f64 z t)`	overflow	31
↳	`(*.f64 a b)`	overflow	39
`+.f64`	`(+.f64 (.f64 x y) (.f64 z t))`	nan-rescue	1	0
↳	`(*.f64 x y)`	overflow	30
↳	`(*.f64 z t)`	overflow	31

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 104 to 48 computations (53.8% saved)

Precisions

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

ival-mult: 10.0ms (70.7% of total)

ival-add: 4.0ms (28.3% 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 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify5.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 z t))
✓	cost-diff	128	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Rules

36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
12×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	18	33
2	25	33
3	27	33
0	27	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x y) (* z t)) (* a b))
(+ (* x y) (* z t))
(* x y)
x
y
(* z t)
z
t
(* a b)
a
b

Outputs
(+ (+ (* x y) (* z t)) (* a b))
(fma.f64 z t (fma.f64 x y (*.f64 a b)))
(+ (* x y) (* z t))
(fma.f64 x y (*.f64 z t))
(* x y)
(*.f64 x y)
x
y
(* z t)
(*.f64 z t)
z
t
(* a b)
(*.f64 a b)
a
b

localize35.0ms (0.4%)

Memory

1.9MiB live, 41.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	99.6%	(+.f64 (.f64 x y) (.f64 z t))
✓	accuracy	99.3%	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Samples

27.0ms

256×

valid

Compiler

Compiled 35 to 13 computations (62.9% saved)

Precisions

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

ival-mult: 5.0ms (69.1% of total)

ival-add: 2.0ms (27.6% of total)

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

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

series10.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

5 → 192

Calls

Call 1

Inputs
#<alt (+ (+ (* x y) (* z t)) (* a b))>
#<alt (+ (* x y) (* z t))>
#<alt (* x y)>
#<alt (* z t)>
#<alt (* a b)>

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

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(+ (+ (* x y) (* z t)) (* a b))
1.0ms	x	@	0	(+ (+ (* x y) (* z t)) (* a b))
0.0ms	y	@	-inf	(+ (+ (* x y) (* z t)) (* a b))
0.0ms	x	@	inf	(+ (+ (* x y) (* z t)) (* a b))
0.0ms	y	@	inf	(+ (+ (* x y) (* z t)) (* a b))

rewrite472.0ms (5.2%)

Memory

-42.6MiB live, 745.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 290×	`accelerator-lowering-fma.f32`
7 290×	`accelerator-lowering-fma.f64`
4 892×	`-lowering-.f32`
4 892×	`-lowering-.f64`
2 454×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	43	27
2	397	27
3	6028	27
0	8063	24

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 186

Calls

Call 1

Inputs
(+ (+ (* x y) (* z t)) (* a b))
(+ (* x y) (* z t))
(* x y)
(* z t)
(* a b)

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

simplify289.0ms (3.2%)

Memory

20.5MiB live, 444.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 200×	`accelerator-lowering-fma.f32`
9 200×	`accelerator-lowering-fma.f64`
3 162×	`-lowering-.f32`
3 162×	`-lowering-.f64`
1 122×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1176
1	389	1176
2	1252	1176
3	3052	1176
4	6623	1176
0	8355	1026

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval48.0ms (0.5%)

Memory: -13.7MiB live, 99.1MiB allocated
Compiler: Compiled 11 080 to 566 computations (94.9% saved)

prune48.0ms (0.5%)

Memory

1.4MiB live, 92.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	371	7	378
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	372	7	379

Accuracy

100.0%

Counts

379 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 z t (fma.f64 x y (*.f64 a b)))
▶	36.3%	(fma.f64 x y #s(literal 0 binary64))
	67.8%	(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
▶	33.9%	(fma.f64 t z #s(literal 0 binary64))
	68.9%	(fma.f64 a b (fma.f64 x y #s(literal 0 binary64)))
▶	66.8%	(fma.f64 a b (fma.f64 t z #s(literal 0 binary64)))
▶	36.8%	(fma.f64 a b #s(literal 0 binary64))

Compiler

Compiled 168 to 120 computations (28.6% saved)

simplify6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

52×	`+-lowering-+.f64`
52×	`+-lowering-+.f32`
48×	`accelerator-lowering-fma.f32`
48×	`accelerator-lowering-fma.f64`
16×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	33	60
2	49	60
0	49	56

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* z t) (+ (* x y) (* a b)))
z
t
(+ (* x y) (* a b))
x
y
(* a b)
a
b
(+ (* a b) 0)
a
b
0
(+ (* t z) 0)
t
z
0
(+ (* x y) 0)
x
y
0
(+ (* a b) (+ (* t z) 0))
a
b
(+ (* t z) 0)
t
z
0

Outputs
(+ (* z t) (+ (* x y) (* a b)))
(fma.f64 x y (fma.f64 z t (fma.f64 a b #s(literal 0 binary64))))
z
t
(+ (* x y) (* a b))
(fma.f64 x y (fma.f64 a b #s(literal 0 binary64)))
x
y
(* a b)
(fma.f64 a b #s(literal 0 binary64))
a
b
(+ (* a b) 0)
(fma.f64 a b #s(literal 0 binary64))
a
b
0
#s(literal 0 binary64)
(+ (* t z) 0)
(fma.f64 z t #s(literal 0 binary64))
t
z
0
#s(literal 0 binary64)
(+ (* x y) 0)
(fma.f64 x y #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
(+ (* a b) (+ (* t z) 0))
(fma.f64 z t (fma.f64 a b #s(literal 0 binary64)))
a
b
(+ (* t z) 0)
(fma.f64 z t #s(literal 0 binary64))
t
z
0
#s(literal 0 binary64)

localize48.0ms (0.5%)

Memory

-10.8MiB live, 105.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 t z #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 a b (fma.f64 t z #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 x y #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 t z #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 a b #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 z t (fma.f64 x y (*.f64 a b)))
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	99.6%	(fma.f64 x y (*.f64 a b))

Samples

31.0ms

256×

valid

Compiler

Compiled 63 to 19 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 6.0ms (47.7% of total)

ival-mult: 6.0ms (47.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

7 → 264

Calls

Call 1

Inputs
#<alt (+ (* z t) (+ (* x y) (* a b)))>
#<alt (+ (* x y) (* a b))>
#<alt (* a b)>
#<alt (+ (* a b) 0)>
#<alt (+ (* t z) 0)>
#<alt (+ (* x y) 0)>
#<alt (+ (* a b) (+ (* t z) 0))>

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

Calls

66 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(+ (* x y) (* a b))
0.0ms	a	@	inf	(+ (* a b) (+ (* t z) 0))
0.0ms	a	@	0	(+ (* a b) 0)
0.0ms	a	@	-inf	(+ (* a b) (+ (* t z) 0))
0.0ms	t	@	-inf	(+ (* a b) (+ (* t z) 0))

rewrite655.0ms (7.2%)

Memory

34.8MiB live, 1 054.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 810×	`accelerator-lowering-fma.f32`
14 810×	`accelerator-lowering-fma.f64`
4 458×	`/-lowering-/.f32`
4 458×	`/-lowering-/.f64`
3 746×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	104	37
2	1473	37
0	8304	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 1 455

Calls

Call 1

Inputs
(+ (* z t) (+ (* x y) (* a b)))
(+ (* x y) (* a b))
(* a b)
(+ (* a b) 0)
(+ (* t z) 0)
(+ (* x y) 0)
(+ (* a b) (+ (* t z) 0))

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

simplify432.0ms (4.7%)

Memory

-22.1MiB live, 605.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 862×	`accelerator-lowering-fma.f32`
10 862×	`accelerator-lowering-fma.f64`
4 048×	`-lowering-.f32`
4 048×	`-lowering-.f64`
1 844×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1536
1	488	1536
2	1609	1536
3	4038	1536
4	7706	1536
0	8444	1350

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

Outputs
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* t z)
(*.f64 t z)
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* z (+ t (+ (/ (* a b) z) (/ (* x y) z))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* t z)
(*.f64 t z)
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (+ (* a b) (* x y)) z)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* t z)
(*.f64 t z)
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* t (+ z (+ (/ (* a b) t) (/ (* x y) t))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* t z)
(*.f64 t z)
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ (* a b) (* x y)) t)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* x (+ y (+ (/ (* a b) x) (/ (* t z) x))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* a b) (* t z)) x)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* y (+ x (+ (/ (* a b) y) (/ (* t z) y))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* a b) (* t z)) y)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* t z) (* x y))
(fma.f64 x y (*.f64 t z))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* a b)
(*.f64 a b)
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* a (+ b (+ (/ (* t z) a) (/ (* x y) a))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* a b)
(*.f64 a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* t z) (* x y))
(fma.f64 x y (*.f64 t z))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(+ (* a b) (+ (* t z) (* x y)))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* a b)
(*.f64 a b)
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(fma.f64 a b (fma.f64 x y (*.f64 t z)))
(* a b)
(*.f64 a b)
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (/ (* a b) x)))
(fma.f64 a b (*.f64 x y))
(* x (+ y (/ (* a b) x)))
(fma.f64 a b (*.f64 x y))
(* x (+ y (/ (* a b) x)))
(fma.f64 a b (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* a b) x)))))
(fma.f64 a b (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* a b) x)))))
(fma.f64 a b (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* a b) x)))))
(fma.f64 a b (*.f64 x y))
(* a b)
(*.f64 a b)
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* a b) y)))
(fma.f64 a b (*.f64 x y))
(* y (+ x (/ (* a b) y)))
(fma.f64 a b (*.f64 x y))
(* y (+ x (/ (* a b) y)))
(fma.f64 a b (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* a b) y)))))
(fma.f64 a b (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* a b) y)))))
(fma.f64 a b (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* a b) y)))))
(fma.f64 a b (*.f64 x y))
(* x y)
(*.f64 x y)
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(* a b)
(*.f64 a b)
(* a (+ b (/ (* x y) a)))
(fma.f64 a b (*.f64 x y))
(* a (+ b (/ (* x y) a)))
(fma.f64 a b (*.f64 x y))
(* a (+ b (/ (* x y) a)))
(fma.f64 a b (*.f64 x y))
(* a b)
(*.f64 a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (* x y) a)))))
(fma.f64 a b (*.f64 x y))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* x y) a)))))
(fma.f64 a b (*.f64 x y))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* x y) a)))))
(fma.f64 a b (*.f64 x y))
(* x y)
(*.f64 x y)
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
(* a b)
(*.f64 a b)
(* b (+ a (/ (* x y) b)))
(fma.f64 a b (*.f64 x y))
(* b (+ a (/ (* x y) b)))
(fma.f64 a b (*.f64 x y))
(* b (+ a (/ (* x y) b)))
(fma.f64 a b (*.f64 x y))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* x y) b)))))
(fma.f64 a b (*.f64 x y))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* x y) b)))))
(fma.f64 a b (*.f64 x y))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* x y) b)))))
(fma.f64 a b (*.f64 x y))
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* t z)
(*.f64 t z)
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(* a b)
(*.f64 a b)
(* a (+ b (/ (* t z) a)))
(fma.f64 a b (*.f64 t z))
(* a (+ b (/ (* t z) a)))
(fma.f64 a b (*.f64 t z))
(* a (+ b (/ (* t z) a)))
(fma.f64 a b (*.f64 t z))
(* a b)
(*.f64 a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (* t z) a)))))
(fma.f64 a b (*.f64 t z))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* t z) a)))))
(fma.f64 a b (*.f64 t z))
(* -1 (* a (+ (* -1 b) (* -1 (/ (* t z) a)))))
(fma.f64 a b (*.f64 t z))
(* t z)
(*.f64 t z)
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(* a b)
(*.f64 a b)
(* b (+ a (/ (* t z) b)))
(fma.f64 a b (*.f64 t z))
(* b (+ a (/ (* t z) b)))
(fma.f64 a b (*.f64 t z))
(* b (+ a (/ (* t z) b)))
(fma.f64 a b (*.f64 t z))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* t z) b)))))
(fma.f64 a b (*.f64 t z))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* t z) b)))))
(fma.f64 a b (*.f64 t z))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* t z) b)))))
(fma.f64 a b (*.f64 t z))
(* a b)
(*.f64 a b)
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(* t z)
(*.f64 t z)
(* t (+ z (/ (* a b) t)))
(fma.f64 a b (*.f64 t z))
(* t (+ z (/ (* a b) t)))
(fma.f64 a b (*.f64 t z))
(* t (+ z (/ (* a b) t)))
(fma.f64 a b (*.f64 t z))
(* t z)
(*.f64 t z)
(* -1 (* t (+ (* -1 z) (* -1 (/ (* a b) t)))))
(fma.f64 a b (*.f64 t z))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* a b) t)))))
(fma.f64 a b (*.f64 t z))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* a b) t)))))
(fma.f64 a b (*.f64 t z))
(* a b)
(*.f64 a b)
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(+ (* a b) (* t z))
(fma.f64 a b (*.f64 t z))
(* t z)
(*.f64 t z)
(* z (+ t (/ (* a b) z)))
(fma.f64 a b (*.f64 t z))
(* z (+ t (/ (* a b) z)))
(fma.f64 a b (*.f64 t z))
(* z (+ t (/ (* a b) z)))
(fma.f64 a b (*.f64 t z))
(* t z)
(*.f64 t z)
(* -1 (* z (+ (* -1 t) (* -1 (/ (* a b) z)))))
(fma.f64 a b (*.f64 t z))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* a b) z)))))
(fma.f64 a b (*.f64 t z))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* a b) z)))))
(fma.f64 a b (*.f64 t z))

eval507.0ms (5.6%)

Memory: -73.6MiB live, 617.5MiB allocated
Compiler: Compiled 50 489 to 2 736 computations (94.6% saved)

prune399.0ms (4.4%)

Memory

3.4MiB live, 754.5MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1 895	6	1 901
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	1 901	7	1 908

Accuracy

100.0%

Counts

1 908 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 z t (fma.f64 x y (*.f64 a b)))
	67.8%	(fma.f64 z t (*.f64 x y))
▶	67.2%	(fma.f64 z t (*.f64 a b))
▶	68.9%	(fma.f64 a b (*.f64 x y))
▶	33.9%	(*.f64 z t)
▶	36.3%	(*.f64 y x)
▶	36.8%	(*.f64 b a)

Compiler

Compiled 141 to 99 computations (29.8% saved)

simplify5.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 a b)
✓	cost-diff	(fma.f64 z t (*.f64 a b))
✓	cost-diff	(*.f64 z t)
✓	cost-diff	(*.f64 y x)
✓	cost-diff	(*.f64 b a)
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(fma.f64 a b (*.f64 x y))

Rules

16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	16	43
0	16	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* a b) (* x y))
a
b
(* x y)
x
y
(* b a)
b
a
(* y x)
y
x
(* z t)
z
t
(+ (* z t) (* a b))
z
t
(* a b)
a
b

Outputs
(+ (* a b) (* x y))
(fma.f64 a b (*.f64 x y))
a
b
(* x y)
(*.f64 x y)
x
y
(* b a)
(*.f64 a b)
b
a
(* y x)
(*.f64 x y)
y
x
(* z t)
(*.f64 z t)
z
t
(+ (* z t) (* a b))
(fma.f64 a b (*.f64 z t))
z
t
(* a b)
(*.f64 a b)
a
b

localize39.0ms (0.4%)

Memory

-2.3MiB live, 83.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	99.6%	(fma.f64 z t (*.f64 a b))
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.6%	(fma.f64 a b (*.f64 x y))

Samples

27.0ms

256×

valid

Compiler

Compiled 43 to 15 computations (65.1% saved)

Precisions

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

ival-mult: 8.0ms (80.7% of total)

ival-add: 2.0ms (20.2% of total)

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

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

series4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

7 → 216

Calls

Call 1

Inputs
#<alt (+ (* a b) (* x y))>
#<alt (* x y)>
#<alt (* b a)>
#<alt (* y x)>
#<alt (* z t)>
#<alt (+ (* z t) (* a b))>
#<alt (* a b)>

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

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(+ (* z t) (* a b))
0.0ms	x	@	-inf	(+ (* a b) (* x y))
0.0ms	a	@	inf	(+ (* a b) (* x y))
0.0ms	b	@	inf	(* b a)
0.0ms	t	@	-inf	(+ (* z t) (* a b))

rewrite465.0ms (5.1%)

Memory

-74.7MiB live, 764.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 454×	`accelerator-lowering-fma.f32`
7 454×	`accelerator-lowering-fma.f64`
5 118×	`-lowering-.f32`
5 118×	`-lowering-.f64`
2 812×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	39	29
2	318	29
3	3393	29
0	8205	27

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 279

Calls

Call 1

Inputs
(+ (* a b) (* x y))
(* x y)
(* b a)
(* y x)
(* z t)
(+ (* z t) (* a b))
(* a b)

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

simplify291.0ms (3.2%)

Memory

31.7MiB live, 513.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 872×	`accelerator-lowering-fma.f32`
7 872×	`accelerator-lowering-fma.f64`
4 538×	`-lowering-.f32`
4 538×	`-lowering-.f64`
1 184×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	936
1	282	936
2	908	936
3	2416	936
4	5891	936
0	8291	864

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval88.0ms (1%)

Memory: 6.4MiB live, 122.9MiB allocated
Compiler: Compiled 13 653 to 742 computations (94.6% saved)

prune62.0ms (0.7%)

Memory

-18.2MiB live, 134.4MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	494	1	495
Fresh	0	1	1
Picked	1	4	5
Done	1	0	1
Total	496	6	502

Accuracy

100.0%

Counts

502 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(fma.f64 z t (*.f64 x y))
✓	67.2%	(fma.f64 z t (*.f64 a b))
▶	68.9%	(fma.f64 y x (*.f64 a b))
✓	33.9%	(*.f64 z t)
✓	36.3%	(*.f64 y x)
✓	36.8%	(*.f64 b a)

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(fma.f64 z t (*.f64 x y))
✓	cost-diff	(*.f64 a b)
✓	cost-diff	(fma.f64 y x (*.f64 a b))

Rules

16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	18	28
0	18	26

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* y x) (* a b))
y
x
(* a b)
a
b
(+ (* z t) (* x y))
z
t
(* x y)
x
y

Outputs
(+ (* y x) (* a b))
(fma.f64 y x (*.f64 a b))
y
x
(* a b)
(*.f64 a b)
a
b
(+ (* z t) (* x y))
(fma.f64 z t (*.f64 y x))
z
t
(* x y)
(*.f64 y x)
x
y

localize31.0ms (0.3%)

Memory

-1.7MiB live, 72.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 z t (*.f64 x y))
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	99.6%	(fma.f64 y x (*.f64 a b))

Samples

20.0ms

256×

valid

Compiler

Compiled 28 to 14 computations (50% saved)

Precisions

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

ival-mult: 6.0ms (71.7% of total)

ival-add: 2.0ms (23.9% of total)

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

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

series2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (+ (* y x) (* a b))>
#<alt (* a b)>
#<alt (+ (* z t) (* x y))>
#<alt (* x y)>

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

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+ (* y x) (* a b))
0.0ms	z	@	inf	(+ (* z t) (* x y))
0.0ms	z	@	-inf	(+ (* z t) (* x y))
0.0ms	t	@	-inf	(+ (* z t) (* x y))
0.0ms	y	@	-inf	(+ (* y x) (* a b))

rewrite511.0ms (5.6%)

Memory

12.0MiB live, 723.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 454×	`accelerator-lowering-fma.f32`
7 454×	`accelerator-lowering-fma.f64`
5 118×	`-lowering-.f32`
5 118×	`-lowering-.f64`
2 812×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	48	20
2	327	20
3	3411	20
0	8225	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 252

Calls

Call 1

Inputs
(+ (* y x) (* a b))
(* a b)
(+ (* z t) (* x y))
(* x y)

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

simplify417.0ms (4.6%)

Memory

-4.4MiB live, 172.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 872×	`accelerator-lowering-fma.f32`
7 872×	`accelerator-lowering-fma.f64`
4 538×	`-lowering-.f32`
4 538×	`-lowering-.f64`
1 188×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	720
1	282	720
2	908	720
3	2419	720
4	5896	720
0	8296	648

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval186.0ms (2%)

Memory: -1.9MiB live, 37.0MiB allocated
Compiler: Compiled 13 214 to 730 computations (94.5% saved)

prune162.0ms (1.8%)

Memory

-1.3MiB live, 36.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	396	0	396
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	396	6	402

Accuracy

100.0%

Counts

402 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(fma.f64 z t (*.f64 x y))
✓	67.2%	(fma.f64 z t (*.f64 a b))
✓	68.9%	(fma.f64 y x (*.f64 a b))
✓	33.9%	(*.f64 z t)
✓	36.3%	(*.f64 y x)
✓	36.8%	(*.f64 b a)

Compiler

Compiled 155 to 71 computations (54.2% saved)

regimes163.0ms (1.8%)

Memory

-9.0MiB live, 30.5MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 b a)
(*.f64 y x)
(*.f64 z t)
(fma.f64 a b #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 a b (*.f64 x y))
(fma.f64 y x (*.f64 a b))
(fma.f64 z t (*.f64 a b))
(fma.f64 z t (*.f64 x y))
(fma.f64 a b (fma.f64 t z #s(literal 0 binary64)))
(fma.f64 a b (fma.f64 x y #s(literal 0 binary64)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(fma.f64 z t (fma.f64 x y (*.f64 a b)))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Outputs
(fma.f64 z t (fma.f64 x y (*.f64 a b)))

Calls

11 calls:

111.0ms	b
5.0ms	a
5.0ms	z
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
99.6%	1	`(+.f64 (.f64 x y) (.f64 z t))`
99.6%	1	`(*.f64 x y)`
99.6%	1	`(*.f64 z t)`
99.6%	1	`(*.f64 a b)`

Compiler

Compiled 99 to 77 computations (22.2% saved)

regimes90.0ms (1%)

Memory

-14.8MiB live, 29.0MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
(*.f64 b a)
(*.f64 y x)
(*.f64 z t)
(fma.f64 a b #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 a b (*.f64 x y))
(fma.f64 y x (*.f64 a b))
(fma.f64 z t (*.f64 a b))
(fma.f64 z t (*.f64 x y))
(fma.f64 a b (fma.f64 t z #s(literal 0 binary64)))
(fma.f64 a b (fma.f64 x y #s(literal 0 binary64)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))

Outputs
(fma.f64 z t (*.f64 a b))
(fma.f64 y x (*.f64 a b))
(fma.f64 z t (*.f64 x y))

Calls

11 calls:

44.0ms	y
5.0ms	x
5.0ms	a
5.0ms	b
5.0ms	z

Results

Accuracy	Segments	Branch
85.2%	3	`x`
82.2%	3	`y`
86.8%	3	`z`
86.4%	3	`t`
88.6%	4	`a`
86.2%	3	`b`
73.4%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
84.4%	3	`(+.f64 (.f64 x y) (.f64 z t))`
87.7%	4	`(*.f64 x y)`
91.0%	3	`(*.f64 z t)`
90.5%	3	`(*.f64 a b)`

Compiler

Compiled 99 to 77 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 b a)
(*.f64 y x)
(*.f64 z t)
(fma.f64 a b #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 a b (*.f64 x y))
(fma.f64 y x (*.f64 a b))
(fma.f64 z t (*.f64 a b))

Outputs
(fma.f64 z t (*.f64 a b))
(fma.f64 y x (*.f64 a b))
(fma.f64 z t (*.f64 a b))

Calls

2 calls:

3.0ms	(*.f64 z t)
3.0ms	(*.f64 a b)

Results

Accuracy	Segments	Branch
74.3%	3	`(*.f64 a b)`
89.6%	3	`(*.f64 z t)`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes107.0ms (1.2%)

Memory

9.3MiB live, 48.7MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
(*.f64 b a)
(*.f64 y x)
(*.f64 z t)
(fma.f64 a b #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 a b (*.f64 x y))
(fma.f64 y x (*.f64 a b))

Outputs
(*.f64 z t)
(fma.f64 y x (*.f64 a b))
(*.f64 z t)

Calls

8 calls:

83.0ms	t
3.0ms	a
3.0ms	b
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
68.9%	1	`(+.f64 (.f64 x y) (.f64 z t))`
68.9%	1	`x`
73.5%	3	`(*.f64 x y)`
68.9%	1	`b`
78.4%	3	`t`
80.3%	3	`z`
68.9%	1	`a`
83.9%	3	`(*.f64 z t)`

Compiler

Compiled 66 to 53 computations (19.7% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
(*.f64 b a)
(*.f64 y x)
(*.f64 z t)
(fma.f64 a b #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 a b (*.f64 x y))

Outputs
(*.f64 z t)
(fma.f64 a b (*.f64 x y))
(*.f64 z t)

Calls

1 calls:

3.0ms

(*.f64 z t)

Results

Accuracy	Segments	Branch
83.9%	3	`(*.f64 z t)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes209.0ms (2.3%)

Memory

-20.8MiB live, 58.1MiB allocated

Counts

6 → 5

Calls

Call 1

Inputs
(*.f64 b a)
(*.f64 y x)
(*.f64 z t)
(fma.f64 a b #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))

Outputs
(*.f64 b a)
(*.f64 z t)
(*.f64 y x)
(*.f64 z t)
(*.f64 b a)

Calls

11 calls:

98.0ms	x
86.0ms	y
3.0ms	b
3.0ms	z
3.0ms	t

Results

Accuracy	Segments	Branch
55.8%	4	`x`
58.2%	4	`a`
51.1%	3	`(+.f64 (.f64 x y) (.f64 z t))`
58.7%	4	`b`
58.7%	5	`(*.f64 x y)`
63.8%	5	`(*.f64 a b)`
42.4%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
59.1%	4	`t`
58.7%	4	`z`
54.8%	5	`y`
60.9%	4	`(*.f64 z t)`

Compiler

Compiled 99 to 77 computations (22.2% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 b a)
(*.f64 y x)

Outputs
(*.f64 b a)
(*.f64 y x)
(*.f64 b a)

Calls

1 calls:

2.0ms

(*.f64 a b)

Results

Accuracy	Segments	Branch
59.8%	3	`(*.f64 a b)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes16.0ms (0.2%)

Memory

18.1MiB live, 58.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(*.f64 b a)

Calls

11 calls:

1.0ms	x
1.0ms	z
1.0ms	b
1.0ms	t
1.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
36.8%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
36.8%	1	`(+.f64 (.f64 x y) (.f64 z t))`
36.8%	1	`y`
36.8%	1	`x`
36.8%	1	`(*.f64 x y)`
36.8%	1	`a`
36.8%	1	`z`
36.8%	1	`b`
36.8%	1	`t`
36.8%	1	`(*.f64 z t)`
36.8%	1	`(*.f64 a b)`

Compiler

Compiled 99 to 77 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.412255472819817e+106	5.874637289857916e+115
0.0ms	-0.007923824743976945	-8.552690910817034e-8

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.923524591157238e-29	1.0373658194208827e-27
0.0ms	-0.007923824743976945	-8.552690910817034e-8

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9221692637024344e+142	7.363243998292262e+159
0.0ms	-6.889848824704344e+78	-6.48368348329696e+78

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9221692637024344e+142	7.363243998292262e+159
0.0ms	-6.889848824704344e+78	-6.48368348329696e+78

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.4602330734395126e+122	5.946678853847713e+127
0.0ms	7.504077080429114e-182	3.0230587482108954e-173
0.0ms	-4.822218392041244e+45	-3.0332377518250458e+41
0.0ms	-3.1173439976278965e+127	-5.5691055012105795e+118

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch1.0ms (0%)

Memory

-38.1MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.026729554863809e+116	3.4602330734395126e+122
1.0ms	-1.5344754674097052e+144	-2.3207955468965547e+131

Compiler

Compiled 20 to 20 computations (0% saved)

simplify10.0ms (0.1%)

Memory

38.7MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`if-if-or-not_binary32`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	169
1	71	169

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z t (fma.f64 x y (*.f64 a b)))
(if (<=.f64 (.f64 z t) #s(literal -5764607523034235/1152921504606846976 binary64)) (fma.f64 z t (.f64 a b)) (if (<=.f64 (.f64 z t) #s(literal 99999999999999996881384047029926983435371269061279689406644211752791525136670645395254002395395884805259264 binary64)) (fma.f64 y x (.f64 a b)) (fma.f64 z t (*.f64 x y))))
(if (<=.f64 (.f64 z t) #s(literal -5764607523034235/1152921504606846976 binary64)) (fma.f64 z t (.f64 a b)) (if (<=.f64 (.f64 z t) #s(literal 8920298079412249/89202980794122492566142873090593446023921664 binary64)) (fma.f64 y x (.f64 a b)) (fma.f64 z t (*.f64 a b))))
(if (<=.f64 (.f64 z t) #s(literal -6500000000000000363740643816709202249024376239395163687580468973864404266254336 binary64)) (.f64 z t) (if (<=.f64 (.f64 z t) #s(literal 50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872 binary64)) (fma.f64 y x (.f64 a b)) (*.f64 z t)))
(if (<=.f64 (.f64 z t) #s(literal -6500000000000000363740643816709202249024376239395163687580468973864404266254336 binary64)) (.f64 z t) (if (<=.f64 (.f64 z t) #s(literal 50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872 binary64)) (fma.f64 a b (.f64 x y)) (*.f64 z t)))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999098582133569958947190600450174767048236959251965035770900582349244308780304596114601737544754773898621832134656 binary64)) (.f64 b a) (if (<=.f64 (.f64 a b) #s(literal -3999999999999999719029156098142204879723036672 binary64)) (.f64 z t) (if (<=.f64 (.f64 a b) #s(literal 7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (.f64 y x) (if (<=.f64 (.f64 a b) #s(literal 499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) (.f64 z t) (*.f64 b a)))))
(if (<=.f64 (.f64 a b) #s(literal -1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) (.f64 b a) (if (<=.f64 (.f64 a b) #s(literal 1000000000000000050555427725995033814228237030803003279020481474722232763977085405824233377105062219252417113236701184 binary64)) (.f64 y x) (*.f64 b a)))
(*.f64 b a)

Outputs
(fma.f64 z t (fma.f64 x y (*.f64 a b)))
(if (<=.f64 (.f64 z t) #s(literal -5764607523034235/1152921504606846976 binary64)) (fma.f64 z t (.f64 a b)) (if (<=.f64 (.f64 z t) #s(literal 99999999999999996881384047029926983435371269061279689406644211752791525136670645395254002395395884805259264 binary64)) (fma.f64 y x (.f64 a b)) (fma.f64 z t (*.f64 x y))))
(if (<=.f64 (.f64 z t) #s(literal -5764607523034235/1152921504606846976 binary64)) (fma.f64 z t (.f64 a b)) (if (<=.f64 (.f64 z t) #s(literal 8920298079412249/89202980794122492566142873090593446023921664 binary64)) (fma.f64 y x (.f64 a b)) (fma.f64 z t (*.f64 a b))))
(if (<=.f64 (.f64 z t) #s(literal -6500000000000000363740643816709202249024376239395163687580468973864404266254336 binary64)) (.f64 z t) (if (<=.f64 (.f64 z t) #s(literal 50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872 binary64)) (fma.f64 y x (.f64 a b)) (*.f64 z t)))
(if (<=.f64 (.f64 z t) #s(literal -6500000000000000363740643816709202249024376239395163687580468973864404266254336 binary64)) (.f64 z t) (if (<=.f64 (.f64 z t) #s(literal 50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872 binary64)) (fma.f64 a b (.f64 x y)) (*.f64 z t)))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999098582133569958947190600450174767048236959251965035770900582349244308780304596114601737544754773898621832134656 binary64)) (.f64 b a) (if (<=.f64 (.f64 a b) #s(literal -3999999999999999719029156098142204879723036672 binary64)) (.f64 z t) (if (<=.f64 (.f64 a b) #s(literal 7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (.f64 y x) (if (<=.f64 (.f64 a b) #s(literal 499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) (.f64 z t) (*.f64 b a)))))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999098582133569958947190600450174767048236959251965035770900582349244308780304596114601737544754773898621832134656 binary64)) (.f64 a b) (if (<=.f64 (.f64 a b) #s(literal -3999999999999999719029156098142204879723036672 binary64)) (.f64 z t) (if (<=.f64 (.f64 a b) #s(literal 7475102707912205/74751027079122046462216955587793573067050655862760405902609490213261724339546970300512875500623813013973275600053770769378323738155015176163371603062328757260320680744718580942157810765768356265984 binary64)) (.f64 x y) (if (<=.f64 (.f64 a b) #s(literal 499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) (.f64 z t) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) #s(literal -1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) (.f64 b a) (if (<=.f64 (.f64 a b) #s(literal 1000000000000000050555427725995033814228237030803003279020481474722232763977085405824233377105062219252417113236701184 binary64)) (.f64 y x) (*.f64 b a)))
(if (<=.f64 (.f64 a b) #s(literal -1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) (.f64 a b) (if (<=.f64 (.f64 a b) #s(literal 1000000000000000050555427725995033814228237030803003279020481474722232763977085405824233377105062219252417113236701184 binary64)) (.f64 x y) (*.f64 a b)))
(*.f64 b a)
(*.f64 a b)

soundness1.5s (16.7%)

Memory

-17.0MiB live, 991.1MiB allocated

Rules

14 810×	`accelerator-lowering-fma.f32`
14 810×	`accelerator-lowering-fma.f64`
10 862×	`accelerator-lowering-fma.f32`
10 862×	`accelerator-lowering-fma.f64`
9 200×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	39	29
2	318	29
3	3393	29
0	8205	27
0	128	1536
1	488	1536
2	1609	1536
3	4038	1536
4	7706	1536
0	8444	1350
0	17	37
1	104	37
2	1473	37
0	8304	33
0	104	1176
1	389	1176
2	1252	1176
3	3052	1176
4	6623	1176
0	8355	1026
0	11	27
1	43	27
2	397	27
3	6028	27
0	8063	24

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
1×	iter limit
1×	node limit

Compiler

Compiled 578 to 323 computations (44.1% saved)

preprocess63.0ms (0.7%)

Memory

2.0MiB live, 159.2MiB allocated

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 586 to 232 computations (60.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample960.0ms (10.5%)

preprocess180.0ms (2%)

explain566.0ms (6.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize35.0ms (0.4%)

series10.0ms (0.1%)

rewrite472.0ms (5.2%)

simplify289.0ms (3.2%)

eval48.0ms (0.5%)

prune48.0ms (0.5%)

simplify6.0ms (0.1%)

localize48.0ms (0.5%)

series5.0ms (0.1%)

rewrite655.0ms (7.2%)

simplify432.0ms (4.7%)

eval507.0ms (5.6%)

prune399.0ms (4.4%)

simplify5.0ms (0%)

localize39.0ms (0.4%)

series4.0ms (0%)

rewrite465.0ms (5.1%)

simplify291.0ms (3.2%)

eval88.0ms (1%)

prune62.0ms (0.7%)

simplify4.0ms (0%)

localize31.0ms (0.3%)

series2.0ms (0%)

rewrite511.0ms (5.6%)

simplify417.0ms (4.6%)

eval186.0ms (2%)

prune162.0ms (1.8%)

regimes163.0ms (1.8%)

regimes90.0ms (1%)

regimes7.0ms (0.1%)

regimes107.0ms (1.2%)

regimes3.0ms (0%)

regimes209.0ms (2.3%)

regimes2.0ms (0%)

regimes16.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify10.0ms (0.1%)

soundness1.5s (16.7%)

preprocess63.0ms (0.7%)

end0.0ms (0%)

Profiling