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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 11 computations (0% saved)

sample1.2s (30.7%)

Memory

73.2MiB live, 1 065.4MiB allocated

Samples

930.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 410.0ms

ival-mult: 149.0ms (36.3% of total)

ival-div: 139.0ms (33.9% of total)

ival-sub: 105.0ms (25.6% of total)

exact: 8.0ms (1.9% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess89.0ms (2.4%)

Memory

-62.8MiB live, 70.4MiB allocated

Algorithm

2×	egg-herbie

Rules

352×	`accelerator-lowering-fma.f32`
352×	`accelerator-lowering-fma.f64`
256×	`-lowering-.f32`
256×	`-lowering-.f64`
172×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	96
1	76	93
2	153	90
3	332	90
4	619	90
5	1058	90
6	1211	90
7	1231	90
8	1231	90
0	9	9
1	14	9
2	27	9
3	36	9
4	60	9
5	104	9
6	185	9
7	306	9
8	440	9
9	503	9
10	538	9
11	539	9
0	539	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (/ (* x y) 2) (/ z 8))

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

Call 2

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

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

Symmetry

(sort x y)

explain129.0ms (3.4%)

Memory

13.7MiB live, 174.8MiB allocated

FPErrors

Click to see full error table

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

57.0ms

512×

valid

Compiler

Compiled 78 to 40 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 33.0ms (81.5% of total)

ival-mult: 4.0ms (9.9% of total)

ival-sub: 2.0ms (4.9% of total)

exact: 1.0ms (2.5% of total)

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

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

eval0.0ms (0%)

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

prune20.0ms (0.5%)

Memory

-37.8MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 9 computations (25% saved)

simplify41.0ms (1.1%)

Memory

5.6MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	192	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	cost-diff	320	(/.f64 z #s(literal 8 binary64))
✓	cost-diff	320	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Rules

352×	`accelerator-lowering-fma.f32`
352×	`accelerator-lowering-fma.f64`
256×	`-lowering-.f32`
256×	`-lowering-.f64`
88×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	14	25
2	27	25
3	36	25
4	60	25
5	104	25
6	185	25
7	306	25
8	440	25
9	503	25
10	538	25
11	539	25
0	539	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ (* x y) 2) (/ z 8))
(/ (* x y) 2)
(* x y)
x
y
2
(/ z 8)
z
8

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

localize39.0ms (1%)

Memory

-0.8MiB live, 39.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

30.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 3.0ms (43.9% of total)

ival-mult: 2.0ms (29.3% of total)

ival-sub: 1.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite296.0ms (7.8%)

Memory

25.3MiB live, 495.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 312×	`accelerator-lowering-fma.f32`
5 312×	`accelerator-lowering-fma.f64`
4 784×	`-lowering-.f32`
4 784×	`-lowering-.f64`
3 460×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	52	20
2	482	20
0	8663	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 221

Calls

Call 1

Inputs
(/ (* x y) 2)
(/ z 8)
(- (/ (* x y) 2) (/ z 8))
(* x y)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(.f64 x (.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))
(.f64 y (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x y) #s(literal 1/2 binary64))
(.f64 (.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(neg.f64 (*.f64 z #s(literal -1/8 binary64)))
(neg.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 z #s(literal 8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -8 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(*.f64 z #s(literal 1/8 binary64))
(.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal -1/8 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1/8 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)))
(+.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 y (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))))))
(+.f64 (/.f64 (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(-.f64 (.f64 y (.f64 x #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z #s(literal 1/8 binary64)) (.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))))
(-.f64 (/.f64 (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) #s(literal -16 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z) (/.f64 #s(literal 16 binary64) z)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) z)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal -8 binary64)) #s(literal 16 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (neg.f64 (/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z)) (/.f64 #s(literal -16 binary64) z)) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -16 binary64) z)))
(-.f64 (/.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 8 binary64))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) z) (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 8 binary64))))
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(/.f64 (neg.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal 8 binary64) z)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) z)))
(/.f64 (neg.f64 (fma.f64 x (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -8 binary64)) (.f64 z #s(literal -2 binary64)))) #s(literal -16 binary64))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) z)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z))) (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 8 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) (-.f64 #s(literal 0 binary64) z)))) (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal -8 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal -2 binary64) (.f64 x y)))) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 z #s(literal -2 binary64))))) #s(literal 16 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 (.f64 z z) #s(literal -1/64 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (fma.f64 z (.f64 #s(literal 1/64 binary64) z) (-.f64 (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) (fma.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (.f64 (/.f64 (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y))))) (-.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))) (fma.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))))) (.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))))) (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))) (.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))) (+.f64 (/.f64 (.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64))) #s(literal 1 binary64)) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))))
(/.f64 (.f64 (fma.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 (.f64 z z) #s(literal -1/64 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(pow.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal -2 binary64))) #s(literal 1/16 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))))
(.f64 (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))))))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(.f64 (fma.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 (.f64 z z) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(.f64 (fma.f64 x (.f64 y #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) z)) #s(literal -1/16 binary64))
(.f64 (fma.f64 x (.f64 y (/.f64 #s(literal 8 binary64) z)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) z)))
(.f64 (fma.f64 x (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -8 binary64)) (*.f64 z #s(literal -2 binary64))) #s(literal 1/16 binary64))
(.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) z)))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
(.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal -2 binary64) (.f64 x y))) (.f64 (.f64 (*.f64 x y) z) #s(literal 1/16 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/16 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 z (.f64 #s(literal 1/8 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x y))) (.f64 (.f64 z z) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x y)
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(.f64 x (.f64 y #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 y (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) x)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) y)
(.f64 (.f64 #s(literal 1 binary64) x) y)
(.f64 (.f64 #s(literal 1 binary64) y) x)

simplify199.0ms (5.2%)

Memory

-2.4MiB live, 352.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 218×	`accelerator-lowering-fma.f32`
4 218×	`accelerator-lowering-fma.f64`
3 690×	`-lowering-.f32`
3 690×	`-lowering-.f64`
2 036×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	508
1	123	508
2	350	508
3	861	508
4	1961	508
5	4019	508
6	6382	508
0	8114	481

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval37.0ms (1%)

Memory: 15.8MiB live, 93.3MiB allocated
Compiler: Compiled 5 375 to 616 computations (88.5% saved)

prune37.0ms (1%)

Memory

-0.2MiB live, 85.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	314	3	317
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	315	3	318

Accuracy

100.0%

Counts

318 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
▶	50.9%	(fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))
▶	50.4%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))

Status

Accuracy

Program

▶

100.0%

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

▶

50.9%

(fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))

▶

50.4%

(fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))

Compiler

Compiled 28 to 21 computations (25% saved)

simplify6.0ms (0.2%)

Memory

-29.6MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
28×	`-lowering-.f32`
28×	`-lowering-.f64`
20×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	31	38
2	43	38
0	43	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (1%)

Memory

6.9MiB live, 87.4MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

25.0ms

256×

valid

Compiler

Compiled 43 to 17 computations (60.5% saved)

Precisions

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

ival-mult: 8.0ms (55.8% of total)

ival-add: 6.0ms (41.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite365.0ms (9.6%)

Memory

16.3MiB live, 761.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 590×	`accelerator-lowering-fma.f32`
11 590×	`accelerator-lowering-fma.f64`
4 858×	`-lowering-.f32`
4 858×	`-lowering-.f64`
2 622×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	74	26
2	791	26
0	8975	25

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 502

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(fma.f64 x (.f64 (.f64 y (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 y (.f64 (.f64 x (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (fma.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/4 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 y (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))) (.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(neg.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (*.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (fma.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/4 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/4 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/16 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))))
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(fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 z (.f64 z z)) (*.f64 #s(literal -1/512 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1/512 binary64) (.f64 (.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal -1/64 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 z z) #s(literal -1/64 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
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(fma.f64 (.f64 z z) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
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(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 z z) #s(literal -1/64 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 1/4096 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 z (*.f64 z z)) #s(literal -1/512 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))))
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(/.f64 (fma.f64 (*.f64 z z) #s(literal -1/64 binary64) #s(literal 0 binary64)) (fma.f64 z #s(literal 1/8 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))))
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(/.f64 (-.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64) #s(literal 0 binary64)) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 z z) #s(literal -1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (.f64 z (*.f64 z z)) #s(literal 1/512 binary64) #s(literal 0 binary64)))
(/.f64 (-.f64 (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 z z) #s(literal -1/64 binary64) #s(literal 0 binary64)))
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(/.f64 (.f64 (fma.f64 (.f64 z (*.f64 z z)) #s(literal -1/512 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/512 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 z (.f64 z z)) (.f64 z (*.f64 z z))) #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))) (fma.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 1/4096 binary64) #s(literal 0 binary64)))
(pow.f64 (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 z #s(literal -1/8 binary64))
(.f64 z (.f64 (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))))
(.f64 (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(.f64 (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))))
(.f64 (fma.f64 (.f64 z (*.f64 z z)) #s(literal -1/512 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))))
(.f64 (.f64 z (.f64 z z)) (.f64 #s(literal -1/512 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))
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(.f64 (.f64 z z) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))))
(.f64 #s(literal 1/64 binary64) (.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))))
(.f64 (fma.f64 z (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))))
(.f64 (fma.f64 z #s(literal 1/64 binary64) #s(literal 0 binary64)) (.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64)))))

simplify303.0ms (8%)

Memory

-25.2MiB live, 443.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 892×	`accelerator-lowering-fma.f32`
5 892×	`accelerator-lowering-fma.f64`
3 664×	`-lowering-.f32`
3 664×	`-lowering-.f64`
2 122×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	580
1	119	580
2	351	580
3	811	580
4	1715	580
5	3603	580
6	6214	580
0	8208	553

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval78.0ms (2%)

Memory: -3.8MiB live, 189.4MiB allocated
Compiler: Compiled 15 793 to 1 048 computations (93.4% saved)

prune129.0ms (3.4%)

Memory

-12.2MiB live, 190.6MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	620	2	622
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	622	3	625

Accuracy

100.0%

Counts

625 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
▶	50.4%	(.f64 (.f64 #s(literal 1/2 binary64) y) x)
▶	50.9%	(*.f64 z #s(literal -1/8 binary64))

Compiler

Compiled 25 to 19 computations (24% saved)

simplify5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
12×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	13	16
2	20	16
3	22	16
0	22	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize20.0ms (0.5%)

Memory

15.3MiB live, 54.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions

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

ival-mult: 5.0ms (95.5% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite10.0ms (0.3%)

Memory

-24.2MiB live, 15.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
12×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	13	11
2	20	11
3	22	11
0	22	11

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 10

Calls

Call 1

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

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

simplify6.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
12×	`*-commutative`
4×	`associate-r`
4×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	192
1	15	192
2	20	192
0	20	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval6.0ms (0.2%)

Memory: 18.4MiB live, 18.4MiB allocated
Compiler: Compiled 265 to 20 computations (92.5% saved)

prune5.0ms (0.1%)

Memory

-26.3MiB live, 12.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	58	3	61

Accuracy

100.0%

Counts

61 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
✓	50.4%	(.f64 (.f64 #s(literal 1/2 binary64) y) x)
✓	50.9%	(*.f64 z #s(literal -1/8 binary64))

Compiler

Compiled 64 to 39 computations (39.1% saved)

regimes20.0ms (0.5%)

Memory

4.2MiB live, 53.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 44 to 33 computations (25% saved)

regimes8.0ms (0.2%)

Memory

-17.8MiB live, 20.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
73.2%	3	`x`
73.9%	3	`y`
70.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 z #s(literal -1/8 binary64))

Calls

3 calls:

2.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
50.9%	1	`z`
50.9%	1	`x`
50.9%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch20.0ms (0.5%)

Memory

9.7MiB live, 48.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.138011155804327e+51	2.0600353352023335e+53
9.0ms	-4.7234451868055615e-32	-7.806337969500609e-33

Samples

11.0ms

208×

valid

Compiler

Compiled 223 to 184 computations (17.5% saved)

Precisions

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

ival-div: 2.0ms (37.3% of total)

ival-mult: 2.0ms (37.3% of total)

ival-sub: 1.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.4%)

Memory

-20.3MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	22	28

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -2100908603663173/182687704666362864775460604089535377456991567872 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x) (if (<=.f64 y #s(literal 4899999999999999833859848925880389794281665337491456 binary64)) (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)))

(*.f64 z #s(literal -1/8 binary64))

Outputs
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
(if (<=.f64 y #s(literal -2100908603663173/182687704666362864775460604089535377456991567872 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) x) (if (<=.f64 y #s(literal 4899999999999999833859848925880389794281665337491456 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(if (<=.f64 y #s(literal -2100908603663173/182687704666362864775460604089535377456991567872 binary64)) (.f64 x (.f64 y #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 4899999999999999833859848925880389794281665337491456 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 z #s(literal -1/8 binary64))

soundness663.0ms (17.4%)

Memory

22.5MiB live, 413.3MiB allocated

Rules

11 590×	`accelerator-lowering-fma.f32`
11 590×	`accelerator-lowering-fma.f64`
5 312×	`accelerator-lowering-fma.f32`
5 312×	`accelerator-lowering-fma.f64`
4 858×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	74	26
2	791	26
0	8975	25
0	42	508
1	123	508
2	350	508
3	861	508
4	1961	508
5	4019	508
6	6382	508
0	8114	481
0	9	20
1	52	20
2	482	20
0	8663	19

Stop Event

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

Compiler

Compiled 90 to 58 computations (35.6% saved)

preprocess30.0ms (0.8%)

Memory: -8.3MiB live, 68.5MiB allocated
Remove: (sort x y)
Compiler: Compiled 116 to 64 computations (44.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	25
1	14	25
2	27	25
3	36	25
4	60	25
5	104	25
6	185	25
7	306	25
8	440	25
9	503	25
10	538	25
11	539	25
0	539	24

Iter	Nodes	Cost
0	9	25
1	14	25
2	27	25
3	36	25
4	60	25
5	104	25
6	185	25
7	306	25
8	440	25
9	503	25
10	538	25
11	539	25
0	539	24

analyze0.0ms (0%)

sample1.2s (30.7%)

preprocess89.0ms (2.4%)

explain129.0ms (3.4%)

eval0.0ms (0%)

prune20.0ms (0.5%)

simplify41.0ms (1.1%)

localize39.0ms (1%)

series7.0ms (0.2%)

rewrite296.0ms (7.8%)

simplify199.0ms (5.2%)

eval37.0ms (1%)

prune37.0ms (1%)

simplify6.0ms (0.2%)

localize40.0ms (1%)

series3.0ms (0.1%)

rewrite365.0ms (9.6%)

simplify303.0ms (8%)

eval78.0ms (2%)

prune129.0ms (3.4%)

simplify5.0ms (0.1%)

localize20.0ms (0.5%)

series1.0ms (0%)

rewrite10.0ms (0.3%)

simplify6.0ms (0.2%)

eval6.0ms (0.2%)

prune5.0ms (0.1%)

regimes20.0ms (0.5%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch20.0ms (0.5%)

simplify15.0ms (0.4%)

soundness663.0ms (17.4%)

preprocess30.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	25
1	14	25
2	27	25
3	36	25
4	60	25
5	104	25
6	185	25
7	306	25
8	440	25
9	503	25
10	538	25
11	539	25
0	539	24