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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample666.0ms (12.7%)

Memory

2.9MiB live, 1 214.4MiB allocated

Samples

438.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-add: 76.0ms (35.4% of total)

ival-div: 74.0ms (34.4% of total)

ival-mult: 53.0ms (24.7% of total)

ival-true: 5.0ms (2.3% of total)

exact: 4.0ms (1.9% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess69.0ms (1.3%)

Memory

7.3MiB live, 45.3MiB 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))

explain91.0ms (1.7%)

Memory

-17.9MiB live, 154.1MiB 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

34.0ms

512×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

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

ival-add: 4.0ms (32.5% of total)

ival-mult: 4.0ms (32.5% of total)

ival-div: 3.0ms (24.4% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify5.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB 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

4.4MiB live, 41.4MiB 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 x #s(literal 2 binary64)) (*.f64 y x))
✓	accuracy	100.0%	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Samples

16.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-div: 2.0ms (33.1% of total)

ival-add: 2.0ms (33.1% of total)

ival-mult: 2.0ms (33.1% 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

7.1MiB live, 7.1MiB 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))

rewrite367.0ms (7%)

Memory

22.3MiB live, 415.5MiB 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))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))))) (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y))))
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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)

simplify294.0ms (5.6%)

Memory

-30.6MiB live, 187.8MiB 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)

eval113.0ms (2.2%)

Memory: -12.5MiB live, 68.4MiB allocated
Compiler: Compiled 7 793 to 738 computations (90.5% saved)

prune65.0ms (1.2%)

Memory

28.3MiB live, 66.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	331	7	338
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	332	7	339

Accuracy

100.0%

Counts

339 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
▶	100.0%	(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
▶	69.9%	(fma.f64 x #s(literal 1/2 binary64) z)
	72.6%	(+.f64 (*.f64 x y) z)
▶	57.7%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
▶	31.5%	(*.f64 x y)
▶	43.4%	z

Compiler

Compiled 104 to 70 computations (32.7% saved)

simplify6.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) z)
✓	cost-diff	192	(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) 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	11	43
1	21	41
2	26	41
3	28	41
0	28	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize104.0ms (2%)

Memory

-29.9MiB live, 47.3MiB 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 y x (fma.f64 x #s(literal 1/2 binary64) z))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) z)

Samples

91.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 77.0ms (95.3% of total)

ival-add: 3.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

5 → 120

Calls

Call 1

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

30 calls:

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

rewrite602.0ms (11.5%)

Memory

10.6MiB live, 535.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 488×	`accelerator-lowering-fma.f32`
7 488×	`accelerator-lowering-fma.f64`
4 662×	`-lowering-.f32`
4 662×	`-lowering-.f64`
3 168×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	60	23
2	496	23
3	7077	23
0	8311	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 293

Calls

Call 1

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

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

simplify299.0ms (5.7%)

Memory

-24.0MiB live, 293.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 376×	`accelerator-lowering-fma.f32`
6 376×	`accelerator-lowering-fma.f64`
2 392×	`-lowering-.f32`
2 392×	`-lowering-.f64`
1 380×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	536
1	223	536
2	598	536
3	1744	536
4	3751	536
5	5754	536
6	7189	536
0	8009	490

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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))))
(* -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)))
(+ (* 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)))
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 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 (+ 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)
(* -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)
(+ (* 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)
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 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)
(* 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)

eval56.0ms (1.1%)

Memory: 13.7MiB live, 126.2MiB allocated
Compiler: Compiled 11 365 to 840 computations (92.6% saved)

prune56.0ms (1.1%)

Memory

24.8MiB live, 148.7MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	498	3	501
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	501	7	508

Accuracy

100.0%

Counts

508 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.7%	(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
▶	72.6%	(fma.f64 y x z)
✓	69.9%	(fma.f64 x #s(literal 1/2 binary64) z)
✓	57.7%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	31.5%	(*.f64 x y)
▶	28.1%	(*.f64 x #s(literal 1/2 binary64))
✓	43.4%	z

Compiler

Compiled 47 to 33 computations (29.8% saved)

simplify6.0ms (0.1%)

Memory

-29.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	192	(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 y x z)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	12	24
2	16	24
3	17	24
0	17	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (0.5%)

Memory

19.2MiB live, 61.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

17.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 3.0ms (50.4% of total)

ival-add: 2.0ms (33.6% 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

3.2MiB live, 3.2MiB allocated

Counts

3 → 72

Calls

Call 1

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

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)))>
#<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 (* 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)))>

Calls

18 calls:

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

rewrite460.0ms (8.8%)

Memory

-14.7MiB live, 656.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 310×	`accelerator-lowering-fma.f32`
6 310×	`accelerator-lowering-fma.f64`
4 360×	`-lowering-.f32`
4 360×	`-lowering-.f64`
4 270×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	35	13
2	293	13
3	3136	13
0	8480	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 280

Calls

Call 1

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

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

simplify274.0ms (5.2%)

Memory

24.6MiB live, 303.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 904×	`accelerator-lowering-fma.f32`
4 904×	`accelerator-lowering-fma.f64`
2 880×	`-lowering-.f32`
2 880×	`-lowering-.f64`
1 202×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	304
1	153	304
2	413	304
3	994	304
4	2221	304
5	3874	304
6	6428	304
7	7583	304
8	7922	304
9	7968	304
0	8007	277

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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)))
(* 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)))))
(* 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)))

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)
(* 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))
(* 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))

eval42.0ms (0.8%)

Memory: 9.5MiB live, 123.2MiB allocated
Compiler: Compiled 11 880 to 854 computations (92.8% saved)

prune53.0ms (1%)

Memory

-42.3MiB live, 139.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	373	0	373
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	373	7	380

Accuracy

100.0%

Counts

380 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.7%	(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
✓	72.6%	(fma.f64 y x z)
✓	69.9%	(fma.f64 x #s(literal 1/2 binary64) z)
✓	57.7%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	31.5%	(*.f64 x y)
✓	28.1%	(*.f64 x #s(literal 1/2 binary64))
✓	43.4%	z

Compiler

Compiled 103 to 53 computations (48.5% saved)

regimes23.0ms (0.4%)

Memory

19.0MiB live, 61.3MiB allocated

Counts

11 → 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)
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

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

Calls

5 calls:

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

regimes19.0ms (0.4%)

Memory

4.5MiB live, 41.5MiB 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)
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))

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

Calls

5 calls:

5.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
4.0ms	x
4.0ms	z
4.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	y

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

-1.3MiB live, 38.4MiB 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:

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

Results

Accuracy	Segments	Branch
87.4%	3	`x`
98.7%	3	`y`
86.7%	4	`z`
87.5%	5	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
91.8%	4	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

-21.9MiB live, 17.8MiB 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

3 calls:

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

Results

Accuracy	Segments	Branch
69.9%	1	`x`
80.4%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
85.7%	3	`y`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.2%)

Memory

-13.1MiB live, 31.0MiB allocated

Counts

3 → 6

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
60.3%	4	`x`
69.4%	6	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
53.4%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
58.6%	4	`z`
65.5%	5	`y`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes5.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.7%	3	`x`
49.7%	3	`y`
54.7%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory

-10.5MiB live, 28.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
43.4%	1	`y`
43.4%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
43.4%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
43.4%	1	`z`
43.4%	1	`x`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch119.0ms (2.3%)

Memory

-2.8MiB live, 34.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.4868802003845423	1.8863858660311994
12.0ms	-44923261989888730.0	-73978485.0470907

Samples

10.0ms

224×

valid

Compiler

Compiled 239 to 168 computations (29.7% saved)

Precisions

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

ival-div: 2.0ms (38.6% of total)

ival-add: 2.0ms (38.6% of total)

ival-mult: 1.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.4%)

Memory

37.1MiB live, 37.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.8337360047637842e+112	1.0432040748418391e+114
12.0ms	-44923261989888730.0	-73978485.0470907

Samples

12.0ms

256×

valid

Compiler

Compiled 255 to 190 computations (25.5% saved)

Precisions

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

ival-div: 2.0ms (33.7% of total)

ival-add: 2.0ms (33.7% of total)

ival-mult: 2.0ms (33.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	2.4747942671168335e+306	+inf
0.0ms	6.138112152245881	137131.34948625648
0.0ms	-2.7066645203375327e-52	-3.051854173937674e-53
0.0ms	-7.338636910299832e+211	-1.9675901551069227e+210
0.0ms	-1.5989389510229459e+280	-3.1706168366088005e+257

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch30.0ms (0.6%)

Memory

-36.0MiB live, 41.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.4898287152605572e-61	5.708693603879506e-56
12.0ms	-2.4257174374746505e+147	-1.6068465532307961e+146

Samples

16.0ms

240×

valid

Compiler

Compiled 195 to 164 computations (15.9% saved)

Precisions

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

ival-mult: 6.0ms (59% of total)

ival-div: 2.0ms (19.7% of total)

ival-add: 2.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB 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	47	126
1	61	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(if (<=.f64 y #s(literal -75000000 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 -30000000000000000 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 18500000000000000202409716958300192653160857596257551933232574843704314153666316197513440682202755781091332718592 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 -10000000000000000327822459828620982485707052830214935642633335774409426031973743359279343786724117930538174975818241508187016346769106956959939911012930425211247788042456200658152732723551495964903285489125103006290926013924448356521309485648260046220787856768108551057012647002112 binary64)) (.f64 x y) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -49999999999999995479700522383768796750828459370288199293446396232636225513976650518267070869242994014784776519255333159340432639921443621581114593421638826653196203084930967019206774335332538842228389918338449408 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -336999333339383/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 x y) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 10 binary64)) z (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 4000000000000000068864258386945819315324351300052955929315568071569522684978300191951681807501838378274424555446793164241244196902131794082787755222845762600490514058677713841427970499872113318202756896701137386920242864355316857021758778520479178186022049662471928573050683451675265451448476618996509048832 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 x y))))))
(if (<=.f64 x #s(literal -319999999999999996507859578285094276057113800332843486245760494871209676771528260763331609806644161961493085706270524754689048368750538787603349504 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 6183964726724345/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) z (.f64 x #s(literal 1/2 binary64))))
z

Outputs
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(if (<=.f64 y #s(literal -75000000 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 -30000000000000000 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 18500000000000000202409716958300192653160857596257551933232574843704314153666316197513440682202755781091332718592 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (.f64 x y)))
(if (<=.f64 y #s(literal -30000000000000000 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 18500000000000000202409716958300192653160857596257551933232574843704314153666316197513440682202755781091332718592 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 -10000000000000000327822459828620982485707052830214935642633335774409426031973743359279343786724117930538174975818241508187016346769106956959939911012930425211247788042456200658152732723551495964903285489125103006290926013924448356521309485648260046220787856768108551057012647002112 binary64)) (.f64 x y) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -49999999999999995479700522383768796750828459370288199293446396232636225513976650518267070869242994014784776519255333159340432639921443621581114593421638826653196203084930967019206774335332538842228389918338449408 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -336999333339383/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 x y) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 10 binary64)) z (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 4000000000000000068864258386945819315324351300052955929315568071569522684978300191951681807501838378274424555446793164241244196902131794082787755222845762600490514058677713841427970499872113318202756896701137386920242864355316857021758778520479178186022049662471928573050683451675265451448476618996509048832 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 -10000000000000000327822459828620982485707052830214935642633335774409426031973743359279343786724117930538174975818241508187016346769106956959939911012930425211247788042456200658152732723551495964903285489125103006290926013924448356521309485648260046220787856768108551057012647002112 binary64)) (.f64 y x) (if (<=.f64 (+.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) #s(literal -49999999999999995479700522383768796750828459370288199293446396232636225513976650518267070869242994014784776519255333159340432639921443621581114593421638826653196203084930967019206774335332538842228389918338449408 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 (+.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) #s(literal -336999333339383/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 y x) (if (<=.f64 (+.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) #s(literal 10 binary64)) z (if (<=.f64 (+.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) #s(literal 4000000000000000068864258386945819315324351300052955929315568071569522684978300191951681807501838378274424555446793164241244196902131794082787755222845762600490514058677713841427970499872113318202756896701137386920242864355316857021758778520479178186022049662471928573050683451675265451448476618996509048832 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 y x))))))
(if (<=.f64 x #s(literal -319999999999999996507859578285094276057113800332843486245760494871209676771528260763331609806644161961493085706270524754689048368750538787603349504 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 6183964726724345/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) z (.f64 x #s(literal 1/2 binary64))))
z

soundness1.1s (20.4%)

Memory

-10.8MiB live, 509.3MiB allocated

Rules

7 074×	`accelerator-lowering-fma.f32`
7 074×	`accelerator-lowering-fma.f64`
6 434×	`accelerator-lowering-fma.f32`
6 434×	`accelerator-lowering-fma.f64`
6 376×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	536
1	223	536
2	598	536
3	1744	536
4	3751	536
5	5754	536
6	7189	536
0	8009	490
0	57	440
1	174	440
2	488	440
3	1310	440
4	3612	440
5	6659	440
0	8189	412
0	8	22
1	48	18
2	448	18
3	6054	18
0	8017	17

Stop Event

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

Compiler

Compiled 238 to 117 computations (50.8% saved)

preprocess209.0ms (4%)

Memory: 0.6MiB live, 76.4MiB allocated
Compiler: Compiled 296 to 108 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample666.0ms (12.7%)

preprocess69.0ms (1.3%)

explain91.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize23.0ms (0.4%)

series6.0ms (0.1%)

rewrite367.0ms (7%)

simplify294.0ms (5.6%)

eval113.0ms (2.2%)

prune65.0ms (1.2%)

simplify6.0ms (0.1%)

localize104.0ms (2%)

series3.0ms (0.1%)

rewrite602.0ms (11.5%)

simplify299.0ms (5.7%)

eval56.0ms (1.1%)

prune56.0ms (1.1%)

simplify6.0ms (0.1%)

localize26.0ms (0.5%)

series1.0ms (0%)

rewrite460.0ms (8.8%)

simplify274.0ms (5.2%)

eval42.0ms (0.8%)

prune53.0ms (1%)

regimes23.0ms (0.4%)

regimes19.0ms (0.4%)

regimes16.0ms (0.3%)

regimes7.0ms (0.1%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch119.0ms (2.3%)

bsearch23.0ms (0.4%)

bsearch1.0ms (0%)

bsearch30.0ms (0.6%)

simplify10.0ms (0.2%)

soundness1.1s (20.4%)

preprocess209.0ms (4%)

end0.0ms (0%)

Profiling