Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample824.0ms (14.7%)

Memory

29.2MiB live, 1 517.0MiB allocated

Samples

595.0ms	8 252×	0	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-add: 182.0ms (56.2% of total)

ival-div: 67.0ms (20.7% of total)

ival-mult: 60.0ms (18.5% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.5% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess75.0ms (1.3%)

Memory

-16.5MiB live, 69.0MiB allocated

Algorithm

1×	egg-herbie

Rules

386×	`distribute-rgt-in`
336×	`sub-neg`
268×	`unsub-neg`
230×	`associate-+l-`
226×	`cancel-sign-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	88	82
2	232	81
3	662	69
4	1166	65
5	1714	63
6	2190	63
7	2376	63
8	2424	63
9	2432	63
10	2432	63
0	8	9
1	13	9
2	20	9
3	22	9
0	22	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain135.0ms (2.4%)

Memory

-12.5MiB live, 252.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

30.0ms

512×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

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

ival-add: 6.0ms (42.6% of total)

ival-mult: 4.0ms (28.4% of total)

ival-div: 3.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

-29.6MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
✓	cost-diff	128	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	13	26
2	20	26
3	22	26
0	22	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

16.3MiB live, 55.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-div: 2.0ms (29.5% of total)

ival-add: 2.0ms (29.5% of total)

ival-mult: 2.0ms (29.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

24 calls:

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

rewrite428.0ms (7.7%)

Memory

-23.9MiB live, 523.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 074×	`accelerator-lowering-fma.f32`
7 074×	`accelerator-lowering-fma.f64`
4 356×	`-lowering-.f32`
4 356×	`-lowering-.f64`
2 578×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	48	18
2	448	18
3	6054	18
0	8017	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 242

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x y) (.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 x y))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x y))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)) (.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 x y))
(fma.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) x) (/.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (.f64 #s(literal 1 binary64) y) x (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 #s(literal 1/4 binary64) x) (.f64 (.f64 x y) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(neg.f64 (neg.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)))) (.f64 (fma.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (.f64 (fma.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64))) (.f64 x (-.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (/.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (.f64 (/.f64 (.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (/.f64 (.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))))
(/.f64 (.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) #s(literal 1 binary64)) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))
(/.f64 (.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) #s(literal 1 binary64)) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))
(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))) (fma.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))))) (.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (.f64 z (*.f64 z z)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 z z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 z z)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 z z)) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x))) (fma.f64 (fma.f64 x y z) (.f64 (fma.f64 x y z) (fma.f64 x y z)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) z) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))))
(*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (/.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))))
(.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))))
(.f64 (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))))
(.f64 (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)) (/.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (*.f64 z z))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))
(.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))))
(.f64 (neg.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)))))
(.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (neg.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))))
(.f64 (fma.f64 (fma.f64 x y z) (.f64 (fma.f64 x y z) (fma.f64 x y z)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 #s(literal 1/4 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))))
(.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)))
(.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))))) (.f64 (.f64 z (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 z z) (.f64 (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))))))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 z (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (-.f64 (.f64 z (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z))) (.f64 (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 z z)) (fma.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) z))))) (fma.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) z))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))) (fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (.f64 z (.f64 z z))))) (fma.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (*.f64 z (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) y) x)

simplify202.0ms (3.6%)

Memory

35.8MiB live, 315.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 434×	`accelerator-lowering-fma.f32`
6 434×	`accelerator-lowering-fma.f64`
2 474×	`-lowering-.f32`
2 474×	`-lowering-.f64`
1 356×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	440
1	174	440
2	488	440
3	1310	440
4	3612	440
5	6659	440
0	8189	412

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

eval92.0ms (1.6%)

Memory: -34.1MiB live, 46.6MiB allocated
Compiler: Compiled 7 793 to 738 computations (90.5% saved)

prune58.0ms (1%)

Memory

8.0MiB live, 46.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	332	6	338
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	333	6	339

Accuracy

100.0%

Counts

339 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
▶	62.4%	(fma.f64 x #s(literal 1/2 binary64) z)
	77.3%	(+.f64 (*.f64 x y) z)
▶	62.2%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
▶	39.8%	(*.f64 x y)
▶	40.1%	z

Compiler

Compiled 84 to 58 computations (31% saved)

simplify5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
28×	`accelerator-lowering-fma.f32`
28×	`accelerator-lowering-fma.f64`
12×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	19	39
2	23	39
3	27	39
0	27	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize55.0ms (1%)

Memory

12.4MiB live, 51.6MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

42.0ms

256×

valid

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 27.0ms (85.1% of total)

ival-add: 5.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite819.0ms (14.7%)

Memory

-12.7MiB live, 313.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 038×	`accelerator-lowering-fma.f32`
6 038×	`accelerator-lowering-fma.f64`
4 324×	`-lowering-.f32`
4 324×	`-lowering-.f64`
2 744×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	64	26
2	508	26
3	6631	26
0	8142	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 409

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(+.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x))
(+.f64 (/.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(+.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) z)) (-.f64 (/.f64 (.f64 z z) (-.f64 (.f64 #s(literal 1/2 binary64) x) z)) (.f64 y x)))
(-.f64 (/.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y x z))
(fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(fma.f64 x (/.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(fma.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) z))) (.f64 y x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) z) (-.f64 (.f64 #s(literal 1/2 binary64) x) z)) (*.f64 y x))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 x (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(fma.f64 (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) x) z)
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (/.f64 x (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) z)
(fma.f64 (fma.f64 z (.f64 z z) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 z (-.f64 z (.f64 #s(literal 1/2 binary64) x))))) (.f64 y x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 z (-.f64 z (.f64 #s(literal 1/2 binary64) x)))) (.f64 (fma.f64 #s(literal 1/2 binary64) x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 z (-.f64 z (.f64 #s(literal 1/2 binary64) x)))))) (.f64 y x))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (fma.f64 y y #s(literal -1/4 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)) (fma.f64 (.f64 y (+.f64 y #s(literal -1/2 binary64))) (.f64 (.f64 y (+.f64 y #s(literal -1/2 binary64))) (.f64 y (+.f64 y #s(literal -1/2 binary64)))) #s(literal 1/64 binary64))) (fma.f64 (.f64 y (+.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 y (+.f64 y #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (+.f64 y #s(literal -1/2 binary64))) (.f64 y (+.f64 y #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal 1/8 binary64)) (.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 y y #s(literal -1/4 binary64)) (.f64 y #s(literal 1/2 binary64))))) (+.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (fma.f64 y (.f64 y y) #s(literal -1/8 binary64))) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))

simplify317.0ms (5.7%)

Memory

-5.6MiB live, 392.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 098×	`accelerator-lowering-fma.f32`
7 098×	`accelerator-lowering-fma.f64`
2 414×	`-lowering-.f32`
2 414×	`-lowering-.f64`
1 496×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	566
1	221	566
2	619	566
3	1829	566
4	3757	566
5	5806	566
6	7872	566
0	8168	520

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval72.0ms (1.3%)

Memory: -2.5MiB live, 108.5MiB allocated
Compiler: Compiled 11 597 to 954 computations (91.8% saved)

prune62.0ms (1.1%)

Memory

-3.2MiB live, 116.0MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	539	2	541
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	541	6	547

Accuracy

100.0%

Counts

547 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(fma.f64 y x z)
✓	62.4%	(fma.f64 x #s(literal 1/2 binary64) z)
✓	62.2%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	39.8%	(*.f64 x y)
▶	24.6%	(*.f64 x #s(literal 1/2 binary64))
✓	40.1%	z

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`
4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	10	13
0	10	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

-7.6MiB live, 30.7MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (65.6% of total)

ival-add: 1.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite440.0ms (7.9%)

Memory

4.5MiB live, 807.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 338×	`accelerator-lowering-fma.f32`
18 338×	`accelerator-lowering-fma.f64`
4 376×	`-lowering-.f32`
4 376×	`-lowering-.f64`
3 924×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	23	8
2	153	8
3	1487	8
0	8315	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 213

Calls

Call 1

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

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

simplify627.0ms (11.2%)

Memory

6.8MiB live, 716.5MiB allocated

Algorithm

1×	egg-herbie

Rules

29 446×	`accelerator-lowering-fma.f32`
29 446×	`accelerator-lowering-fma.f64`
3 824×	`+-lowering-+.f64`
3 824×	`+-lowering-+.f32`
2 912×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	190
1	106	190
2	287	190
3	739	190
4	2060	190
5	3234	190
6	4834	190
7	5836	190
8	6509	190
9	6762	190
0	8782	163

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval44.0ms (0.8%)

Memory: 22.1MiB live, 59.9MiB allocated
Compiler: Compiled 9 776 to 502 computations (94.9% saved)

prune35.0ms (0.6%)

Memory

-23.1MiB live, 68.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	261	6	267

Accuracy

100.0%

Counts

267 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.3%	(fma.f64 y x z)
✓	62.4%	(fma.f64 x #s(literal 1/2 binary64) z)
✓	62.2%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	39.8%	(*.f64 x y)
✓	24.6%	(*.f64 x #s(literal 1/2 binary64))
✓	40.1%	z

Compiler

Compiled 81 to 45 computations (44.4% saved)

regimes19.0ms (0.3%)

Memory

-2.4MiB live, 36.5MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes16.0ms (0.3%)

Memory

-4.1MiB live, 34.6MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
88.8%	3	`x`
99.1%	3	`y`
90.4%	4	`z`
82.6%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
89.3%	4	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes9.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.1%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
69.3%	4	`x`
69.3%	3	`z`
87.4%	3	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes11.0ms (0.2%)

Memory

-10.5MiB live, 27.1MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
62.3%	4	`x`
60.6%	4	`z`
68.3%	4	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
56.5%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
69.1%	5	`y`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes8.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
41.7%	2	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
51.4%	3	`z`
51.1%	3	`x`
43.8%	3	`y`
49.8%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes9.0ms (0.2%)

Memory

-21.2MiB live, 20.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

5 calls:

3.0ms	z
1.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
40.1%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
40.1%	1	`y`
40.1%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
40.1%	1	`x`
40.1%	1	`z`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch28.0ms (0.5%)

Memory

18.2MiB live, 57.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.8839435715127873e-15	18913.673248171053
12.0ms	-175641841.1175579	-2042.2842877310868

Samples

15.0ms

304×

valid

Compiler

Compiled 319 to 223 computations (30.1% saved)

Precisions

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

ival-add: 3.0ms (38.1% of total)

ival-mult: 3.0ms (38.1% of total)

ival-div: 2.0ms (25.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.3%)

Memory

-3.6MiB live, 34.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.2298571120577552e+72	2.5797053836273874e+72
10.0ms	-2.9060894487060585e+68	-1.220872875700095e+67

Samples

9.0ms

192×

valid

Compiler

Compiled 195 to 146 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (43.1% of total)

ival-div: 1.0ms (21.5% of total)

ival-mult: 1.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.203386945567692e+246	6.860805248953938e+253
0.0ms	874364804559.3533	2396054017118.7876
0.0ms	-2.2331637385545176e+66	-1.1804465928983428e+64

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch23.0ms (0.4%)

Memory

2.8MiB live, 41.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	33722020169700.758	4977286699880962.0
12.0ms	-1.3583413989163755e-43	-1.6697852770662642e-48

Samples

12.0ms

256×

valid

Compiler

Compiled 207 to 174 computations (15.9% saved)

Precisions

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

ival-div: 2.0ms (30.5% of total)

ival-add: 2.0ms (30.5% of total)

ival-mult: 2.0ms (30.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.2%)

Memory

-23.1MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not_binary32`
4×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	93
1	54	93

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(if (<=.f64 y #s(literal -2100 binary64)) (fma.f64 y x z) (if (<=.f64 y #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x z)))
(if (<=.f64 y #s(literal -12799999999999999898756944164305132905312783576861498286792742273024 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1299999999999999907326411310349564944287549420202758140687500295723286528 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (.f64 x y)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -1999999999999999890644667736494890251419293140042495849331683229696 binary64)) (.f64 x y) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 1000000000000 binary64)) z (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 4000000000000000274344207407128205986828376693251859946763293583032077279495508851011551677505358463377940987332918550789499579195624344458912919864732385398286165882478020041602539077783111773557029874084212885869852527834136514200640825480708096 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 x y))))
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) z (if (<=.f64 z #s(literal 35000000000000 binary64)) (*.f64 x #s(literal 1/2 binary64)) z))
z

Outputs
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(if (<=.f64 y #s(literal -2100 binary64)) (fma.f64 y x z) (if (<=.f64 y #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x z)))
(if (<=.f64 y #s(literal -12799999999999999898756944164305132905312783576861498286792742273024 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1299999999999999907326411310349564944287549420202758140687500295723286528 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (.f64 x y)))
(if (<=.f64 y #s(literal -12799999999999999898756944164305132905312783576861498286792742273024 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 1299999999999999907326411310349564944287549420202758140687500295723286528 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (.f64 y x)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -1999999999999999890644667736494890251419293140042495849331683229696 binary64)) (.f64 x y) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 1000000000000 binary64)) z (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 4000000000000000274344207407128205986828376693251859946763293583032077279495508851011551677505358463377940987332918550789499579195624344458912919864732385398286165882478020041602539077783111773557029874084212885869852527834136514200640825480708096 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 x y))))
(if (<=.f64 (+.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) #s(literal -1999999999999999890644667736494890251419293140042495849331683229696 binary64)) (.f64 y x) (if (<=.f64 (+.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) #s(literal 1000000000000 binary64)) z (if (<=.f64 (+.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) #s(literal 4000000000000000274344207407128205986828376693251859946763293583032077279495508851011551677505358463377940987332918550789499579195624344458912919864732385398286165882478020041602539077783111773557029874084212885869852527834136514200640825480708096 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 y x))))
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) z (if (<=.f64 z #s(literal 35000000000000 binary64)) (*.f64 x #s(literal 1/2 binary64)) z))
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) z (if (<=.f64 z #s(literal 35000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) x) z))
z

soundness1.0s (18.6%)

Memory

6.0MiB live, 484.3MiB allocated

Rules

7 098×	`accelerator-lowering-fma.f32`
7 098×	`accelerator-lowering-fma.f64`
7 074×	`accelerator-lowering-fma.f32`
7 074×	`accelerator-lowering-fma.f64`
6 434×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	48	18
2	448	18
3	6054	18
0	8017	17
0	57	440
1	174	440
2	488	440
3	1310	440
4	3612	440
5	6659	440
0	8189	412
0	66	566
1	221	566
2	619	566
3	1829	566
4	3757	566
5	5806	566
6	7872	566
0	8168	520

Stop Event

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

Compiler

Compiled 192 to 104 computations (45.8% saved)

preprocess39.0ms (0.7%)

Memory: 21.5MiB live, 97.1MiB allocated
Compiler: Compiled 226 to 94 computations (58.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample824.0ms (14.7%)

preprocess75.0ms (1.3%)

explain135.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize23.0ms (0.4%)

series6.0ms (0.1%)

rewrite428.0ms (7.7%)

simplify202.0ms (3.6%)

eval92.0ms (1.6%)

prune58.0ms (1%)

simplify5.0ms (0.1%)

localize55.0ms (1%)

series4.0ms (0.1%)

rewrite819.0ms (14.7%)

simplify317.0ms (5.7%)

eval72.0ms (1.3%)

prune62.0ms (1.1%)

simplify4.0ms (0.1%)

localize20.0ms (0.4%)

series1.0ms (0%)

rewrite440.0ms (7.9%)

simplify627.0ms (11.2%)

eval44.0ms (0.8%)

prune35.0ms (0.6%)

regimes19.0ms (0.3%)

regimes16.0ms (0.3%)

regimes9.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.2%)

bsearch28.0ms (0.5%)

bsearch18.0ms (0.3%)

bsearch0.0ms (0%)

bsearch23.0ms (0.4%)

simplify11.0ms (0.2%)

soundness1.0s (18.6%)

preprocess39.0ms (0.7%)

end0.0ms (0%)

Profiling