Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, C

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)

sample713.0ms (14.6%)

Memory

17.0MiB live, 1 307.5MiB allocated

Samples

451.0ms	7 978×	0	valid
16.0ms	169×	1	valid
14.0ms	109×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-add: 109.0ms (47.1% of total)

ival-mult: 103.0ms (44.5% of total)

ival-true: 6.0ms (2.6% of total)

adjust: 5.0ms (2.2% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess66.0ms (1.4%)

Memory

4.7MiB live, 48.6MiB allocated

Algorithm

1×	egg-herbie

Rules

350×	`distribute-rgt-in`
336×	`sub-neg`
322×	`unsub-neg`
242×	`distribute-lft-in`
206×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	104	81
2	293	81
3	664	81
4	1489	81
5	2275	81
6	2481	81
7	2542	81
8	2542	81
0	8	9
1	18	9
2	32	9
3	40	9
4	43	9
0	43	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (* x (+ y z)) (* z 5))

Outputs
(+ (* x (+ y z)) (* z 5))
(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))

explain116.0ms (2.4%)

Memory

23.3MiB live, 174.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`
-	-	`(+.f64 y z)`
-	-	`y`
-	-	`#s(literal 5 binary64)`
-	-	`(*.f64 z #s(literal 5 binary64))`
-	-	`z`
-	-	`(*.f64 x (+.f64 y z))`
-	-	`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

37.0ms	496×	0	valid
1.0ms	10×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

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

ival-add: 5.0ms (39.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

-29.6MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal 5 binary64))
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(*.f64 x (+.f64 y z))
✓	cost-diff	128	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Rules

44×	`accelerator-lowering-fma.f32`
44×	`accelerator-lowering-fma.f64`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
20×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	18	24
2	32	24
3	40	24
4	43	24
0	43	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x (+ y z)) (* z 5))
(* x (+ y z))
x
(+ y z)
y
z
(* z 5)
5

Outputs
(+ (* x (+ y z)) (* z 5))
(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))
(* x (+ y z))
(*.f64 x (+.f64 y z))
x
(+ y z)
(+.f64 y z)
y
z
(* z 5)
(*.f64 z #s(literal 5 binary64))
5
#s(literal 5 binary64)

localize23.0ms (0.5%)

Memory

11.2MiB live, 49.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 z #s(literal 5 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))
✓	accuracy	99.9%	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Samples

14.0ms	248×	0	valid
0.0ms	5×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-add: 3.0ms (49.2% of total)

ival-mult: 3.0ms (49.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

4 → 108

Calls

Call 1

Inputs
#<alt (+ (* x (+ y z)) (* z 5))>
#<alt (* x (+ y z))>
#<alt (+ y z)>
#<alt (* z 5)>

Outputs
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y z))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+ (* x (+ y z)) (* z 5))
1.0ms	x	@	0	(* x (+ y z))
1.0ms	x	@	inf	(+ (* x (+ y z)) (* z 5))
0.0ms	x	@	0	(+ (* x (+ y z)) (* z 5))
0.0ms	z	@	inf	(+ (* x (+ y z)) (* z 5))

rewrite421.0ms (8.6%)

Memory

-53.4MiB live, 575.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 700×	`accelerator-lowering-fma.f32`
5 700×	`accelerator-lowering-fma.f64`
4 854×	`-lowering-.f32`
4 854×	`-lowering-.f64`
2 878×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	43	20
2	372	20
3	4425	20
0	8595	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(+ (* x (+ y z)) (* z 5))
(* x (+ y z))
(+ y z)
(* z 5)

Outputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
(+.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 y z)))
(+.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 5 binary64))))
(+.f64 (.f64 x z) (fma.f64 x y (.f64 z #s(literal 5 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 (+.f64 y z) (.f64 x (+.f64 y z)))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (*.f64 z #s(literal -5 binary64))))))
(+.f64 (fma.f64 x y (.f64 z #s(literal 5 binary64))) (.f64 x z))
(+.f64 (.f64 z (+.f64 x #s(literal 5 binary64))) (.f64 x y))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 z (+.f64 x #s(literal 5 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 (+.f64 y z) (.f64 x (+.f64 y z)))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64)))) (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (*.f64 z #s(literal -5 binary64)))))
(-.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 y z)))) (/.f64 (.f64 x (.f64 (+.f64 y z) (.f64 x (+.f64 y z)))) (-.f64 (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 y z)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(fma.f64 x z (fma.f64 x y (*.f64 z #s(literal 5 binary64))))
(fma.f64 x (+.f64 y z) (*.f64 z #s(literal 5 binary64)))
(fma.f64 x (/.f64 (.f64 (+.f64 y z) (.f64 x (+.f64 y z))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64))))))
(fma.f64 y x (*.f64 z (+.f64 x #s(literal 5 binary64))))
(fma.f64 z x (fma.f64 x y (*.f64 z #s(literal 5 binary64))))
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))
(fma.f64 z (exp.f64 (log.f64 #s(literal 5 binary64))) (*.f64 x (+.f64 y z)))
(fma.f64 (+.f64 y z) x (*.f64 z #s(literal 5 binary64)))
(fma.f64 (+.f64 y z) (/.f64 (.f64 x (.f64 x (+.f64 y z))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64))))))
(fma.f64 (.f64 x (+.f64 y z)) (/.f64 (.f64 x (+.f64 y z)) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64))))))
(fma.f64 #s(literal 5 binary64) z (*.f64 x (+.f64 y z)))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 z (-.f64 z y)))) x) (.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (/.f64 x (fma.f64 y y (.f64 z (-.f64 z y)))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 x (.f64 (+.f64 y z) (.f64 x (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (*.f64 z #s(literal -5 binary64))))))
(fma.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) x) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 x (-.f64 y z)) (.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x z) (-.f64 (.f64 x z) (.f64 x y)) (.f64 x (.f64 y (.f64 x y))))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 y z) (+.f64 y z)) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64))))))
(fma.f64 (.f64 (+.f64 y z) (+.f64 y z)) (/.f64 (.f64 x x) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64))))))
(fma.f64 (.f64 x (.f64 x (+.f64 y z))) (/.f64 (+.f64 y z) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64))))))
(fma.f64 (.f64 (+.f64 y z) (.f64 x (+.f64 y z))) (/.f64 x (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64))))))
(fma.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 z (-.f64 z y)))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (+.f64 y z) (.f64 (-.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 (+.f64 y z) (.f64 x (+.f64 y z)))) (fma.f64 x (.f64 (+.f64 y z) (.f64 x (+.f64 y z))) (.f64 (.f64 z z) #s(literal -25 binary64)))) (fma.f64 x y (.f64 z (+.f64 x #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (*.f64 z #s(literal -5 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 (+.f64 y z) (.f64 x (+.f64 y z)))) (fma.f64 x (.f64 (.f64 (+.f64 y z) (.f64 x (+.f64 y z))) (.f64 x (+.f64 y z))) (.f64 (.f64 z (.f64 z z)) #s(literal -125 binary64)))) (fma.f64 x (.f64 (+.f64 y z) (.f64 x (+.f64 y z))) (.f64 (.f64 z #s(literal 5 binary64)) (fma.f64 x y (.f64 z (+.f64 x #s(literal 5 binary64)))))) (neg.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal -5 binary64))))))
(fma.f64 (/.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (-.f64 z y) (-.f64 z y)) (-.f64 z y))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (.f64 y y)))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 (fma.f64 y y (.f64 z (-.f64 z y))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 (+.f64 y z) (.f64 (-.f64 y z) x)) (.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 (+.f64 y z) (.f64 (-.f64 y z) x)) (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (-.f64 y z))) (fma.f64 y y (.f64 z (+.f64 y z))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (+.f64 y z))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (exp.f64 (log.f64 (+.f64 y z))) (exp.f64 (log.f64 x)) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 5 binary64))) z (*.f64 x (+.f64 y z)))
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(.f64 (.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (*.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))
(.f64 (/.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (-.f64 z y) (-.f64 z y)) (-.f64 z y))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (*.f64 y y)))))
(.f64 (/.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (fma.f64 y y (.f64 z (-.f64 z y))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))))
(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (-.f64 y z))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(exp.f64 (log.f64 (*.f64 z #s(literal 5 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 5 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal 5 binary64))
(*.f64 z (exp.f64 (log.f64 #s(literal 5 binary64))))
(*.f64 #s(literal 5 binary64) z)
(*.f64 (exp.f64 (log.f64 #s(literal 5 binary64))) z)

simplify249.0ms (5.1%)

Memory

37.1MiB live, 437.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 696×	`accelerator-lowering-fma.f32`
7 696×	`accelerator-lowering-fma.f64`
2 630×	`-lowering-.f32`
2 630×	`-lowering-.f64`
1 854×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	544
1	256	544
2	735	544
3	2128	544
4	4453	544
5	6472	544
6	7867	544
0	8249	517

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 5 z)
(+ (* 5 z) (* x (+ y z)))
(+ (* 5 z) (* x (+ y z)))
(+ (* 5 z) (* x (+ y z)))
(* x (+ y z))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y z))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(+ (* 5 z) (* x z))
(+ (* 5 z) (+ (* x y) (* x z)))
(+ (* 5 z) (+ (* x y) (* x z)))
(+ (* 5 z) (+ (* x y) (* x z)))
(* x y)
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* x y)
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(* z (+ 5 x))
(* z (+ 5 (+ x (/ (* x y) z))))
(* z (+ 5 (+ x (/ (* x y) z))))
(* z (+ 5 (+ x (/ (* x y) z))))
(* -1 (* z (- (* -1 x) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)

Outputs
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(+ (* 5 z) (* x (+ y z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* 5 z) (* x (+ y z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* 5 z) (* x (+ y z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(+ (* 5 z) (+ (* x y) (* x z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* 5 z) (+ (* x y) (* x z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* 5 z) (+ (* x y) (* x z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x y)
(*.f64 x y)
(+ (* x y) (* z (+ 5 x)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* z (+ 5 x))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
z
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)

eval38.0ms (0.8%)

Memory: -20.4MiB live, 97.2MiB allocated
Compiler: Compiled 8 279 to 757 computations (90.9% saved)

prune36.0ms (0.7%)

Memory

-0.5MiB live, 80.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	326	7	333
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	327	7	334

Accuracy

100.0%

Counts

334 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
	61.1%	(+.f64 (.f64 z x) (.f64 z #s(literal 5 binary64)))
	74.5%	(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
▶	61.1%	(*.f64 z (+.f64 #s(literal 5 binary64) x))
▶	66.7%	(*.f64 x (+.f64 z y))
▶	42.5%	(*.f64 x y)
▶	34.9%	(*.f64 #s(literal 5 binary64) z)

Compiler

Compiled 118 to 82 computations (30.5% saved)

simplify5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 5 binary64) x)
✓	cost-diff	(*.f64 z (+.f64 #s(literal 5 binary64) x))
✓	cost-diff	(+.f64 z y)
✓	cost-diff	(*.f64 x (+.f64 z y))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(*.f64 #s(literal 5 binary64) z)
✓	cost-diff	(+.f64 y z)
✓	cost-diff	(*.f64 x (+.f64 y z))
✓	cost-diff	(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))

Rules

44×	`accelerator-lowering-fma.f32`
44×	`accelerator-lowering-fma.f64`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
20×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	30	53
2	40	53
3	42	53
0	42	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* z 5) (* x (+ y z)))
z
5
(* x (+ y z))
x
(+ y z)
y
(* 5 z)
5
z
(* x y)
x
y
(* x (+ z y))
x
(+ z y)
z
y
(* z (+ 5 x))
z
(+ 5 x)
5
x

Outputs
(+ (* z 5) (* x (+ y z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
z
5
#s(literal 5 binary64)
(* x (+ y z))
(*.f64 x (+.f64 z y))
x
(+ y z)
(+.f64 z y)
y
(* 5 z)
(*.f64 z #s(literal 5 binary64))
5
#s(literal 5 binary64)
z
(* x y)
(*.f64 x y)
x
y
(* x (+ z y))
(*.f64 x (+.f64 z y))
x
(+ z y)
(+.f64 z y)
z
y
(* z (+ 5 x))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
z
(+ 5 x)
(+.f64 #s(literal 5 binary64) x)
5
#s(literal 5 binary64)
x

localize47.0ms (1%)

Memory

17.7MiB live, 133.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 5 binary64) x)
✓	accuracy	99.9%	(*.f64 z (+.f64 #s(literal 5 binary64) x))
✓	accuracy	100.0%	(+.f64 z y)
✓	accuracy	100.0%	(*.f64 x (+.f64 z y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 5 binary64) z)
✓	accuracy	100.0%	(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))

Samples

30.0ms	247×	0	valid
2.0ms	7×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 54 to 16 computations (70.4% saved)

Precisions

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

ival-mult: 11.0ms (59.2% of total)

ival-add: 7.0ms (37.7% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series10.0ms (0.2%)

Memory

-25.6MiB live, 16.0MiB allocated

Counts

9 → 228

Calls

Call 1

Inputs
#<alt (+ (* z 5) (* x (+ y z)))>
#<alt (* x (+ y z))>
#<alt (+ y z)>
#<alt (* 5 z)>
#<alt (* x y)>
#<alt (* x (+ z y))>
#<alt (+ z y)>
#<alt (* z (+ 5 x))>
#<alt (+ 5 x)>

Outputs
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y z))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>
#<alt 5>
#<alt (+ 5 x)>
#<alt (+ 5 x)>
#<alt (+ 5 x)>
#<alt x>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* z (+ 5 x))
0.0ms	z	@	0	(* z (+ 5 x))
0.0ms	z	@	inf	(* z (+ 5 x))
0.0ms	y	@	inf	(* x y)
0.0ms	x	@	0	(* x y)

rewrite334.0ms (6.8%)

Memory

47.9MiB live, 579.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 802×	`accelerator-lowering-fma.f32`
6 802×	`accelerator-lowering-fma.f64`
4 958×	`-lowering-.f32`
4 958×	`-lowering-.f64`
3 406×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	77	39
2	634	39
0	8238	38

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 514

Calls

Call 1

Inputs
(+ (* z 5) (* x (+ y z)))
(* x (+ y z))
(+ y z)
(* 5 z)
(* x y)
(* x (+ z y))
(+ z y)
(* z (+ 5 x))
(+ 5 x)

Outputs
(+.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))
(+.f64 (.f64 x (+.f64 z y)) (.f64 z #s(literal 5 binary64)))
(+.f64 (.f64 x y) (.f64 z (+.f64 #s(literal 5 binary64) x)))
(+.f64 (.f64 z (+.f64 #s(literal 5 binary64) x)) (.f64 x y))
(+.f64 (.f64 z x) (fma.f64 z #s(literal 5 binary64) (.f64 x y)))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 z y))))))
(+.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x y)) (.f64 z x))
(-.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))) (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 z y)))))
(-.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (fma.f64 x (+.f64 z y) (.f64 z #s(literal -5 binary64)))) (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (+.f64 z y) (*.f64 z #s(literal -5 binary64)))))
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 z y)))
(fma.f64 z x (fma.f64 z #s(literal 5 binary64) (*.f64 x y)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(fma.f64 z (/.f64 (.f64 z #s(literal 25 binary64)) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y))))))
(fma.f64 #s(literal 5 binary64) z (*.f64 x (+.f64 z y)))
(fma.f64 #s(literal 5 binary64) (/.f64 (.f64 z (.f64 z #s(literal 5 binary64))) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 z y))))))
(fma.f64 (.f64 z #s(literal 5 binary64)) (/.f64 (.f64 z #s(literal 5 binary64)) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 z y))))))
(fma.f64 x z (fma.f64 z #s(literal 5 binary64) (*.f64 x y)))
(fma.f64 x y (*.f64 z (+.f64 #s(literal 5 binary64) x)))
(fma.f64 x (+.f64 z y) (*.f64 z #s(literal 5 binary64)))
(fma.f64 y x (*.f64 z (+.f64 #s(literal 5 binary64) x)))
(fma.f64 (+.f64 z y) x (*.f64 z #s(literal 5 binary64)))
(fma.f64 (+.f64 #s(literal 5 binary64) x) z (*.f64 x y))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y (-.f64 y z)))) x) (.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (/.f64 x (fma.f64 z z (.f64 y (-.f64 y z)))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y))))))
(fma.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 z y))))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64))) z) (*.f64 x y))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (/.f64 z (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64))) (.f64 x y))
(fma.f64 #s(literal 25 binary64) (/.f64 (.f64 z z) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y))))))
(fma.f64 (.f64 (+.f64 z y) (-.f64 y z)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) x) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (+.f64 z y) (-.f64 y z)) (/.f64 x (-.f64 y z)) (.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (+.f64 z y) (-.f64 z y)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 x (-.f64 z y)) (.f64 z #s(literal 5 binary64)))
(fma.f64 (-.f64 #s(literal 25 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5 binary64) x)) z) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 25 binary64) (.f64 x x)) (/.f64 z (-.f64 #s(literal 5 binary64) x)) (.f64 x y))
(fma.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z x) (.f64 x (-.f64 z y)))) (.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z x) (.f64 x (-.f64 z y))))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z x) (.f64 x (-.f64 z y)))) (.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 x (.f64 z x)) (.f64 (.f64 x y) (.f64 x (-.f64 y z))))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 z (.f64 (.f64 z z) #s(literal 125 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z x) (-.f64 (.f64 z x) (.f64 z #s(literal 5 binary64))) (.f64 z (.f64 z #s(literal 25 binary64))))) (*.f64 x y))
(fma.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 z y))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (.f64 z (+.f64 #s(literal 5 binary64) x)) (.f64 z (-.f64 #s(literal 5 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 #s(literal 5 binary64) x))) (*.f64 x y))
(fma.f64 (.f64 z #s(literal 25 binary64)) (/.f64 z (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y))))))
(fma.f64 (.f64 z (.f64 z #s(literal 5 binary64))) (/.f64 #s(literal 5 binary64) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 z y))))))
(fma.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64))) (*.f64 x y))
(fma.f64 (.f64 z (-.f64 #s(literal 25 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5 binary64) x)) (*.f64 x y))
(fma.f64 (.f64 (+.f64 z y) (.f64 (-.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 x (.f64 (+.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y (-.f64 y z)))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (.f64 x (+.f64 x #s(literal -5 binary64)))) #s(literal 15625 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) #s(literal 25 binary64)) #s(literal 625 binary64)) (*.f64 x y))
(fma.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (-.f64 #s(literal 625 binary64) (.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (.f64 x (+.f64 x #s(literal -5 binary64)))))) (-.f64 #s(literal 25 binary64) (.f64 x (+.f64 x #s(literal -5 binary64)))) (*.f64 x y))
(fma.f64 (/.f64 (.f64 z (-.f64 #s(literal 25 binary64) (.f64 x x))) (-.f64 #s(literal 25 binary64) (.f64 x x))) (+.f64 #s(literal 5 binary64) x) (.f64 x y))
(fma.f64 (/.f64 (.f64 z (-.f64 #s(literal 25 binary64) (.f64 x x))) (-.f64 #s(literal 125 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 #s(literal 5 binary64) x) #s(literal 25 binary64)) (*.f64 x y))
(fma.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 (+.f64 z y) (neg.f64 (.f64 x (.f64 x (+.f64 z y)))) (.f64 z (.f64 z #s(literal 25 binary64))))) (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y))))))
(fma.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (-.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 125 binary64)) (.f64 (.f64 x (+.f64 z y)) (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y))))))) (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x (+.f64 z y)) (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))))) (neg.f64 (/.f64 (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (-.f64 (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 z y))))))
(fma.f64 (/.f64 (.f64 (+.f64 z y) (.f64 (-.f64 y z) x)) (.f64 (+.f64 z y) (-.f64 y z))) (+.f64 z y) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 (+.f64 z y) (.f64 (-.f64 y z) x)) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 y z))) (fma.f64 z z (.f64 y (+.f64 z y))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 (+.f64 z y) (-.f64 z y))) (.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 (+.f64 z y) (-.f64 z y))) (.f64 (fma.f64 z z (.f64 y (+.f64 z y))) (-.f64 z y))) (fma.f64 z z (.f64 y (+.f64 z y))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 (.f64 z (-.f64 z y)) (.f64 (.f64 z (-.f64 z y)) (.f64 z (-.f64 z y)))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (.f64 y y)))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 (fma.f64 z z (.f64 y (-.f64 y z))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (fma.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))) (.f64 (.f64 y (-.f64 y z)) (.f64 (.f64 y (-.f64 y z)) (.f64 y (-.f64 y z)))))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 y (-.f64 y z)) (-.f64 (.f64 y (-.f64 y z)) (.f64 z z)))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 (fma.f64 z z (.f64 y (-.f64 y z))) (-.f64 (.f64 z z) (.f64 y (-.f64 y z))))) (-.f64 (.f64 z z) (.f64 y (-.f64 y z))) (*.f64 z #s(literal 5 binary64)))
(neg.f64 (/.f64 (fma.f64 (.f64 x (+.f64 z y)) (.f64 (+.f64 z y) (.f64 x (.f64 x (+.f64 z y)))) (.f64 (.f64 z (.f64 z z)) #s(literal 125 binary64))) (neg.f64 (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x (+.f64 z y)) (fma.f64 x (+.f64 z y) (*.f64 z #s(literal -5 binary64))))))))
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(.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (.f64 x (+.f64 x #s(literal -5 binary64)))) #s(literal 15625 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -5 binary64))) #s(literal 25 binary64)) #s(literal 625 binary64)))
(.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (-.f64 #s(literal 625 binary64) (.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (.f64 x (+.f64 x #s(literal -5 binary64)))))) (-.f64 #s(literal 25 binary64) (*.f64 x (+.f64 x #s(literal -5 binary64)))))
(.f64 (/.f64 (.f64 z (-.f64 #s(literal 25 binary64) (.f64 x x))) (-.f64 #s(literal 25 binary64) (.f64 x x))) (+.f64 #s(literal 5 binary64) x))
(.f64 (/.f64 (.f64 z (-.f64 #s(literal 25 binary64) (.f64 x x))) (-.f64 #s(literal 125 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 #s(literal 5 binary64) x) #s(literal 25 binary64)))
(+.f64 #s(literal 5 binary64) x)
(+.f64 x #s(literal 5 binary64))
(+.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 5 binary64) x))))
(-.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 5 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64))))
(fma.f64 #s(literal 25 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 5 binary64) x))))
(fma.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 25 binary64) (.f64 x x))) (+.f64 #s(literal 5 binary64) x) (neg.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 5 binary64) x))))
(fma.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 125 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 #s(literal 5 binary64) x) #s(literal 25 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 5 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 125 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 25 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 5 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 125 binary64))) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 #s(literal 5 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 125 binary64)) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64)))
(/.f64 (-.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 #s(literal 5 binary64) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 125 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 25 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 5 binary64) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1953125 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64)) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64)) #s(literal 15625 binary64))))
(/.f64 (-.f64 #s(literal 15625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64)) (-.f64 #s(literal 125 binary64) (.f64 x (.f64 x x)))))
(/.f64 (-.f64 #s(literal 15625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 5 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 25 binary64)) #s(literal 625 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -5 binary64)) (fma.f64 x x #s(literal -25 binary64))))
(/.f64 (fma.f64 x x #s(literal -25 binary64)) (+.f64 x #s(literal -5 binary64)))
(/.f64 (-.f64 #s(literal 625 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 5 binary64) x) (fma.f64 x x #s(literal 25 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x)) (.f64 (-.f64 #s(literal 5 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 5 binary64) x) (-.f64 #s(literal 5 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1953125 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) #s(literal 125 binary64)) #s(literal 15625 binary64)) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 15625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 125 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 15625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 25 binary64)) #s(literal 625 binary64)) (-.f64 #s(literal 5 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 625 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 25 binary64)) (-.f64 #s(literal 5 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 125 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 25 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 5 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -25 binary64))) (neg.f64 (+.f64 x #s(literal -5 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 5 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x)) (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 5 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 5 binary64) x)) (.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 5 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x)) (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 5 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 5 binary64) x)))) (+.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 5 binary64) x))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 25 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 5 binary64) x))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1953125 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64)) #s(literal 15625 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 15625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64)))) (-.f64 #s(literal 125 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 15625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 25 binary64)) #s(literal 625 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 625 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5 binary64) x))) (fma.f64 x x #s(literal 25 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5 binary64) x)) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64))))
(.f64 (-.f64 #s(literal 25 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5 binary64) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 25 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 5 binary64) x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 5 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64))) (fma.f64 x (.f64 x x) #s(literal 125 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5 binary64) x)) (-.f64 #s(literal 25 binary64) (.f64 x x)))
(*.f64 (fma.f64 x x #s(literal -25 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -5 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 25 binary64) (.f64 x x)) (-.f64 #s(literal 25 binary64) (*.f64 x x))) (+.f64 #s(literal 5 binary64) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (.f64 x (+.f64 x #s(literal -5 binary64)))) #s(literal 15625 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) #s(literal 25 binary64)) #s(literal 625 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (-.f64 #s(literal 625 binary64) (.f64 (.f64 x (+.f64 x #s(literal -5 binary64))) (.f64 x (+.f64 x #s(literal -5 binary64)))))) (-.f64 #s(literal 25 binary64) (.f64 x (+.f64 x #s(literal -5 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 25 binary64) (.f64 x x)) (-.f64 #s(literal 125 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 #s(literal 5 binary64) x) #s(literal 25 binary64)))

simplify287.0ms (5.9%)

Memory

-49.4MiB live, 325.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 268×	`accelerator-lowering-fma.f32`
7 268×	`accelerator-lowering-fma.f64`
2 560×	`-lowering-.f32`
2 560×	`-lowering-.f64`
1 302×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	988
1	289	988
2	806	988
3	2372	988
4	4681	988
5	6436	988
6	7730	988
0	8025	961

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* x y)
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(* z (+ 5 x))
(* z (+ 5 (+ x (/ (* x y) z))))
(* z (+ 5 (+ x (/ (* x y) z))))
(* z (+ 5 (+ x (/ (* x y) z))))
(* -1 (* z (- (* -1 x) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* 5 z)
(+ (* 5 z) (* x (+ y z)))
(+ (* 5 z) (* x (+ y z)))
(+ (* 5 z) (* x (+ y z)))
(* x (+ y z))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y z))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(+ (* 5 z) (* x z))
(+ (* 5 z) (+ (* x y) (* x z)))
(+ (* 5 z) (+ (* x y) (* x z)))
(+ (* 5 z) (+ (* x y) (* x z)))
(* x y)
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* 5 z)
(+ (* 5 z) (* x z))
(+ (* 5 z) (* x z))
(+ (* 5 z) (* x z))
(* x z)
(* x (+ z (* 5 (/ z x))))
(* x (+ z (* 5 (/ z x))))
(* x (+ z (* 5 (/ z x))))
(* x z)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
5
(+ 5 x)
(+ 5 x)
(+ 5 x)
x
(* x (+ 1 (* 5 (/ 1 x))))
(* x (+ 1 (* 5 (/ 1 x))))
(* x (+ 1 (* 5 (/ 1 x))))
x
(* x (+ 1 (* 5 (/ 1 x))))
(* x (+ 1 (* 5 (/ 1 x))))
(* x (+ 1 (* 5 (/ 1 x))))

Outputs
(* x y)
(*.f64 x y)
(+ (* x y) (* z (+ 5 x)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(+ (* 5 z) (* x (+ y z)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* 5 z) (* x (+ y z)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* 5 z) (* x (+ y z)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+ (* 5 z) (+ (* x y) (* x z)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* 5 z) (+ (* x y) (* x z)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* 5 z) (+ (* x y) (* x z)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
z
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
y
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
z
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* 5 z)
(*.f64 z #s(literal 5 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)
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
y
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
z
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
z
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x z)
(*.f64 x z)
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(+ 5 x)
(+.f64 x #s(literal 5 binary64))
(+ 5 x)
(+.f64 x #s(literal 5 binary64))
(+ 5 x)
(+.f64 x #s(literal 5 binary64))
x
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
x
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))

eval82.0ms (1.7%)

Memory: 25.7MiB live, 178.4MiB allocated
Compiler: Compiled 16 084 to 1 176 computations (92.7% saved)

prune100.0ms (2%)

Memory

13.5MiB live, 175.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	739	3	742
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	741	8	749

Accuracy

100.0%

Counts

749 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.1%	(fma.f64 z #s(literal 5 binary64) (*.f64 z x))
✓	100.0%	(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
▶	74.5%	(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
✓	61.1%	(*.f64 z (+.f64 #s(literal 5 binary64) x))
▶	28.0%	(*.f64 z x)
✓	66.7%	(*.f64 x (+.f64 z y))
✓	42.5%	(*.f64 x y)
✓	34.9%	(*.f64 #s(literal 5 binary64) z)

Compiler

Compiled 63 to 43 computations (31.7% saved)

simplify33.0ms (0.7%)

Memory

-34.9MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	192	(fma.f64 z #s(literal 5 binary64) (*.f64 z x))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
✓	cost-diff	0	(*.f64 z x)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	16	30
2	19	30
0	19	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* z x)
z
x
(+ (* z 5) (* x y))
z
5
(* x y)
x
y
(+ (* z 5) (* z x))
z
5
(* z x)
x

Outputs
(* z x)
(*.f64 z x)
z
x
(+ (* z 5) (* x y))
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
z
5
#s(literal 5 binary64)
(* x y)
(*.f64 x y)
x
y
(+ (* z 5) (* z x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
z
5
#s(literal 5 binary64)
(* z x)
(*.f64 z x)
x

localize31.0ms (0.6%)

Memory

42.4MiB live, 78.7MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(fma.f64 z #s(literal 5 binary64) (*.f64 z x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 z x)

Samples

18.0ms	239×	0	valid
1.0ms	7×	2	valid
1.0ms	6×	1	valid
1.0ms	3×	3	valid
0.0ms	1×	5	exit

Compiler

Compiled 32 to 11 computations (65.6% saved)

Precisions

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

ival-mult: 5.0ms (59.7% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

-30.3MiB live, 7.4MiB allocated

Counts

4 → 108

Calls

Call 1

Inputs
#<alt (* z x)>
#<alt (+ (* z 5) (* x y))>
#<alt (* x y)>
#<alt (+ (* z 5) (* z x))>

Outputs
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x y)>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (* 5 z)>
#<alt (* z (+ 5 (/ (* x y) z)))>
#<alt (* z (+ 5 (/ (* x y) z)))>
#<alt (* z (+ 5 (/ (* x y) z)))>
#<alt (* 5 z)>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 5)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 5)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 5)))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 5 (/ z x))))>
#<alt (* x (+ y (* 5 (/ z x))))>
#<alt (* x (+ y (* 5 (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 5 (/ z y))))>
#<alt (* y (+ x (* 5 (/ z y))))>
#<alt (* y (+ x (* 5 (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -5 (/ z y)) (* -1 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)>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(* z x)
0.0ms	z	@	inf	(+ (* z 5) (* z x))
0.0ms	x	@	0	(* z x)
0.0ms	z	@	inf	(* z x)
0.0ms	x	@	-inf	(* z x)

rewrite351.0ms (7.2%)

Memory

-7.0MiB live, 643.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 804×	`accelerator-lowering-fma.f32`
7 804×	`accelerator-lowering-fma.f64`
5 154×	`-lowering-.f32`
5 154×	`-lowering-.f64`
3 116×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	39	18
2	324	18
3	3533	18
0	8410	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 282

Calls

Call 1

Inputs
(* z x)
(+ (* z 5) (* x y))
(* x y)
(+ (* z 5) (* z x))

Outputs
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (.f64 (log.f64 (.f64 z x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(*.f64 x z)
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(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 #s(literal 5 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (-.f64 #s(literal 25 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 z z) (-.f64 (.f64 x x) #s(literal 25 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 x #s(literal 5 binary64)))))
(.f64 (/.f64 (.f64 z (+.f64 x #s(literal 5 binary64))) z) (/.f64 (*.f64 z (-.f64 #s(literal 5 binary64) x)) (-.f64 #s(literal 5 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (-.f64 #s(literal 5 binary64) x) (.f64 (.f64 z z) (-.f64 #s(literal 25 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 25 binary64) (.f64 x x))) (.f64 (.f64 z z) (-.f64 #s(literal 25 binary64) (.f64 x x)))) (.f64 z (+.f64 x #s(literal 5 binary64))))
(.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (fma.f64 (.f64 (.f64 x (.f64 z z)) (-.f64 x #s(literal 5 binary64))) (.f64 (.f64 (.f64 x (.f64 z z)) (-.f64 x #s(literal 5 binary64))) (.f64 (.f64 x (.f64 z z)) (-.f64 x #s(literal 5 binary64)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal 15625 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 z z)) (-.f64 x #s(literal 5 binary64))) (-.f64 (.f64 (.f64 x (.f64 z z)) (-.f64 x #s(literal 5 binary64))) (.f64 #s(literal 25 binary64) (.f64 z z))) (.f64 #s(literal 625 binary64) (.f64 (.f64 z z) (*.f64 z z)))))
(.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (-.f64 (.f64 #s(literal 625 binary64) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 (.f64 x (.f64 z z)) (-.f64 x #s(literal 5 binary64))) (.f64 (.f64 x (.f64 z z)) (-.f64 x #s(literal 5 binary64)))))) (-.f64 (.f64 #s(literal 25 binary64) (.f64 z z)) (.f64 (.f64 x (*.f64 z z)) (-.f64 x #s(literal 5 binary64)))))
(.f64 (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 25 binary64) (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 125 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 z z)) (+.f64 x #s(literal 5 binary64)) (.f64 #s(literal 25 binary64) (*.f64 z z))))
(.f64 (pow.f64 (/.f64 z (.f64 z (+.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 5 binary64) x) (*.f64 z (-.f64 #s(literal 5 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x (.f64 z z)) (-.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 z x) (.f64 x (.f64 x (.f64 z z)))) (.f64 (.f64 (.f64 z x) (.f64 x (.f64 x (.f64 z z)))) (.f64 (.f64 z x) (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) #s(literal 1953125 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z x) (.f64 x (.f64 x (.f64 z z)))) (-.f64 (.f64 (.f64 z x) (.f64 x (.f64 x (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) #s(literal 125 binary64))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (*.f64 z z))) #s(literal 15625 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x (.f64 z z)) (-.f64 x #s(literal 5 binary64)))) (.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 125 binary64) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 125 binary64) (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (.f64 z (-.f64 #s(literal 5 binary64) x)) (.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 125 binary64) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 z z) (+.f64 #s(literal 25 binary64) (.f64 x x))) (.f64 #s(literal 625 binary64) (.f64 (.f64 z z) (.f64 z z))))))
(.f64 (pow.f64 (/.f64 (.f64 z (-.f64 #s(literal 5 binary64) x)) (.f64 (.f64 (.f64 z z) (+.f64 #s(literal 25 binary64) (.f64 x x))) (.f64 (.f64 z z) (-.f64 #s(literal 25 binary64) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 25 binary64) (.f64 x x)))))

simplify189.0ms (3.9%)

Memory

-15.7MiB live, 284.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 770×	`accelerator-lowering-fma.f32`
3 770×	`accelerator-lowering-fma.f64`
3 080×	`-lowering-.f32`
3 080×	`-lowering-.f64`
1 820×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	474
1	144	474
2	377	474
3	802	474
4	1837	474
5	5254	474
6	7499	474
0	8220	447

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x y)
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(* 5 z)
(* z (+ 5 (/ (* x y) z)))
(* z (+ 5 (/ (* x y) z)))
(* z (+ 5 (/ (* x y) z)))
(* 5 z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(* 5 z)
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(* x y)
(* x (+ y (* 5 (/ z x))))
(* x (+ y (* 5 (/ z x))))
(* x (+ y (* 5 (/ z x))))
(* x y)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(* 5 z)
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(* x y)
(* y (+ x (* 5 (/ z y))))
(* y (+ x (* 5 (/ z y))))
(* y (+ x (* 5 (/ z y))))
(* x y)
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(* -1 (* y (+ (* -5 (/ z y)) (* -1 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)
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* -1 (* z (- (* -1 x) 5)))
(* -1 (* z (- (* -1 x) 5)))
(* -1 (* z (- (* -1 x) 5)))
(* -1 (* z (- (* -1 x) 5)))
(* 5 z)
(+ (* 5 z) (* x z))
(+ (* 5 z) (* x z))
(+ (* 5 z) (* x z))
(* x z)
(* x (+ z (* 5 (/ z x))))
(* x (+ z (* 5 (/ z x))))
(* x (+ z (* 5 (/ z x))))
(* x z)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))

Outputs
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x y)
(*.f64 x y)
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* z (+ 5 (/ (* x y) z)))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* z (+ 5 (/ (* x y) z)))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* z (+ 5 (/ (* x y) z)))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (* 5 (/ z x))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* x (+ y (* 5 (/ z x))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* x (+ y (* 5 (/ z x))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (* 5 (/ z y))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* y (+ x (* 5 (/ z y))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* y (+ x (* 5 (/ z y))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(fma.f64 x y (*.f64 z #s(literal 5 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)
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x z)
(*.f64 x z)
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))

eval44.0ms (0.9%)

Memory: 28.2MiB live, 64.6MiB allocated
Compiler: Compiled 11 186 to 823 computations (92.6% saved)

prune48.0ms (1%)

Memory

-2.9MiB live, 77.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	423	0	423
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	423	8	431

Accuracy

100.0%

Counts

431 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.1%	(fma.f64 z #s(literal 5 binary64) (*.f64 z x))
✓	100.0%	(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
✓	74.5%	(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
✓	61.1%	(*.f64 z (+.f64 #s(literal 5 binary64) x))
✓	28.0%	(*.f64 z x)
✓	66.7%	(*.f64 x (+.f64 z y))
✓	42.5%	(*.f64 x y)
✓	34.9%	(*.f64 #s(literal 5 binary64) z)

Compiler

Compiled 128 to 63 computations (50.8% saved)

regimes19.0ms (0.4%)

Memory

1.6MiB live, 39.4MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
(fma.f64 z #s(literal 5 binary64) (*.f64 z x))
(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
(+.f64 (.f64 z x) (.f64 z #s(literal 5 binary64)))
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Outputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))

Calls

4 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
4.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes16.0ms (0.3%)

Memory

-13.5MiB live, 24.2MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
(fma.f64 z #s(literal 5 binary64) (*.f64 z x))
(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
(+.f64 (.f64 z x) (.f64 z #s(literal 5 binary64)))

Outputs
(*.f64 x (+.f64 z y))
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
(*.f64 x (+.f64 z y))

Calls

4 calls:

5.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
3.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
98.4%	3	`x`
85.7%	3	`y`
88.7%	3	`z`
87.3%	3	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal 5 binary64) x))

Outputs
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(*.f64 x (+.f64 z y))

Calls

2 calls:

2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
84.1%	3	`z`
87.4%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x (+.f64 z y))

Outputs
(*.f64 x (+.f64 z y))
(*.f64 #s(literal 5 binary64) z)
(*.f64 x (+.f64 z y))

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
66.7%	1	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`
87.3%	3	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes10.0ms (0.2%)

Memory

-26.4MiB live, 12.4MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 z x)

Outputs
(*.f64 x y)
(*.f64 z x)
(*.f64 x y)
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)

Calls

4 calls:

4.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
54.2%	5	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`
61.0%	4	`z`
56.1%	3	`y`
66.3%	5	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)

Outputs
(*.f64 x y)
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.1%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

14.4MiB live, 14.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)

Outputs
(*.f64 #s(literal 5 binary64) z)

Calls

4 calls:

1.0ms	z
1.0ms	y
1.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
34.9%	1	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`
34.9%	1	`y`
34.9%	1	`z`
34.9%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch42.0ms (0.9%)

Memory

-12.3MiB live, 31.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.3158826178817935e-5	657.9014045595676
11.0ms	-4047383615.8773303	-147.6063334624068

Samples

13.0ms

288×

valid

Compiler

Compiled 357 to 248 computations (30.5% saved)

Precisions

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

ival-add: 3.0ms (46.1% of total)

ival-mult: 3.0ms (46.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.5%)

Memory

-2.1MiB live, 34.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1748729609118.7065	4792108034237.575
12.0ms	-1.2250692268946982e-32	-3.655394896783206e-40

Samples

10.0ms	214×	0	valid
1.0ms	10×	1	valid

Compiler

Compiled 267 to 196 computations (26.6% saved)

Precisions

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

ival-mult: 3.0ms (53.7% of total)

ival-add: 2.0ms (35.8% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.6%)

Memory

6.5MiB live, 44.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.11522525717989e-77	1.0232508730048705e-71
12.0ms	-1.2250692268946982e-32	-3.655394896783206e-40

Samples

12.0ms	272×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 303 to 230 computations (24.1% saved)

Precisions

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

ival-mult: 4.0ms (55.8% of total)

ival-add: 3.0ms (41.9% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch59.0ms (1.2%)

Memory

-10.7MiB live, 76.6MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	7.937352369185959e-54	1.5892219375198663e-46
11.0ms	-1.2250692268946982e-32	-3.655394896783206e-40
12.0ms	-7.374531075737268e+62	-7.337600158930285e+59
10.0ms	-1.4694295888793342e+177	-9.768123579113533e+173

Samples

32.0ms	525×	0	valid
2.0ms	19×	1	valid

Compiler

Compiled 491 to 372 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 16.0ms (72.4% of total)

ival-add: 5.0ms (22.6% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.6%)

Memory

13.5MiB live, 51.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.937352369185959e-54	1.5892219375198663e-46
12.0ms	-1.2250692268946982e-32	-3.655394896783206e-40

Samples

14.0ms	278×	0	valid
1.0ms	10×	1	valid

Compiler

Compiled 267 to 212 computations (20.6% saved)

Precisions

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

ival-add: 4.0ms (47% of total)

ival-mult: 3.0ms (35.3% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Memory

-20.6MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	111
1	72	111

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
(if (<=.f64 x #s(literal -150 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 5 binary64)) (fma.f64 z #s(literal 5 binary64) (.f64 x y)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -5261405894391251/730750818665451459101842416358141509827966271488 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1800000000000 binary64)) (.f64 z (+.f64 #s(literal 5 binary64) x)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -4597486622597667/191561942608236107294793378393788647952342390272950272 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 279744320480505/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (.f64 #s(literal 5 binary64) z) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -14000000000000000526058895267465139368675914235724953482069100419181642287745261176051851457186686660128582758678752905777241445551920742364042912078217939563899842769155260416 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -14500000000000000336549231337043184364687329746815798346776576 binary64)) (.f64 z x) (if (<=.f64 x #s(literal -4384504911992709/365375409332725729550921208179070754913983135744 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 498150793720287/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 #s(literal 5 binary64) z) (*.f64 x y)))))
(if (<=.f64 x #s(literal -8620287417370625/11972621413014756705924586149611790497021399392059392 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1892330240919387/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (.f64 #s(literal 5 binary64) z) (*.f64 x y)))
(*.f64 #s(literal 5 binary64) z)

Outputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 z y)))
(if (<=.f64 x #s(literal -150 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 5 binary64)) (fma.f64 z #s(literal 5 binary64) (.f64 x y)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -5261405894391251/730750818665451459101842416358141509827966271488 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1800000000000 binary64)) (.f64 z (+.f64 #s(literal 5 binary64) x)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -4597486622597667/191561942608236107294793378393788647952342390272950272 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 279744320480505/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (.f64 #s(literal 5 binary64) z) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -4597486622597667/191561942608236107294793378393788647952342390272950272 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 279744320480505/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -14000000000000000526058895267465139368675914235724953482069100419181642287745261176051851457186686660128582758678752905777241445551920742364042912078217939563899842769155260416 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -14500000000000000336549231337043184364687329746815798346776576 binary64)) (.f64 z x) (if (<=.f64 x #s(literal -4384504911992709/365375409332725729550921208179070754913983135744 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 498150793720287/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 #s(literal 5 binary64) z) (*.f64 x y)))))
(if (<=.f64 x #s(literal -14000000000000000526058895267465139368675914235724953482069100419181642287745261176051851457186686660128582758678752905777241445551920742364042912078217939563899842769155260416 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -14500000000000000336549231337043184364687329746815798346776576 binary64)) (.f64 z x) (if (<=.f64 x #s(literal -4384504911992709/365375409332725729550921208179070754913983135744 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 498150793720287/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 z #s(literal 5 binary64)) (*.f64 x y)))))
(if (<=.f64 x #s(literal -8620287417370625/11972621413014756705924586149611790497021399392059392 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1892330240919387/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (.f64 #s(literal 5 binary64) z) (*.f64 x y)))
(if (<=.f64 x #s(literal -8620287417370625/11972621413014756705924586149611790497021399392059392 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1892330240919387/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (.f64 z #s(literal 5 binary64)) (*.f64 x y)))
(*.f64 #s(literal 5 binary64) z)
(*.f64 z #s(literal 5 binary64))

soundness1.3s (26.9%)

Memory

35.1MiB live, 470.2MiB allocated

Rules

7 696×	`accelerator-lowering-fma.f32`
7 696×	`accelerator-lowering-fma.f64`
7 268×	`accelerator-lowering-fma.f32`
7 268×	`accelerator-lowering-fma.f64`
5 700×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	988
1	289	988
2	806	988
3	2372	988
4	4681	988
5	6436	988
6	7730	988
0	8025	961
0	8	20
1	43	20
2	372	20
3	4425	20
0	8595	19
0	75	544
1	256	544
2	735	544
3	2128	544
4	4453	544
5	6472	544
6	7867	544
0	8249	517

Stop Event

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

Compiler

Compiled 243 to 127 computations (47.7% saved)

preprocess81.0ms (1.7%)

Memory: 3.4MiB live, 80.6MiB allocated
Compiler: Compiled 308 to 128 computations (58.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample713.0ms (14.6%)

preprocess66.0ms (1.4%)

explain116.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize23.0ms (0.5%)

series6.0ms (0.1%)

rewrite421.0ms (8.6%)

simplify249.0ms (5.1%)

eval38.0ms (0.8%)

prune36.0ms (0.7%)

simplify5.0ms (0.1%)

localize47.0ms (1%)

series10.0ms (0.2%)

rewrite334.0ms (6.8%)

simplify287.0ms (5.9%)

eval82.0ms (1.7%)

prune100.0ms (2%)

simplify33.0ms (0.7%)

localize31.0ms (0.6%)

series5.0ms (0.1%)

rewrite351.0ms (7.2%)

simplify189.0ms (3.9%)

eval44.0ms (0.9%)

prune48.0ms (1%)

regimes19.0ms (0.4%)

regimes16.0ms (0.3%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch42.0ms (0.9%)

bsearch22.0ms (0.5%)

bsearch27.0ms (0.6%)

bsearch59.0ms (1.2%)

bsearch27.0ms (0.6%)

simplify12.0ms (0.2%)

soundness1.3s (26.9%)

preprocess81.0ms (1.7%)

end0.0ms (0%)

Profiling