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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample831.0ms (17.9%)

Memory

-0.6MiB live, 1 232.6MiB allocated

Samples

597.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-div: 111.0ms (42.8% of total)

ival-mult: 72.0ms (27.7% of total)

ival-sub: 59.0ms (22.7% of total)

exact: 9.0ms (3.5% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess62.0ms (1.3%)

Memory

19.6MiB live, 94.4MiB 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))
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 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)

explain230.0ms (4.9%)

Memory

20.2MiB live, 219.5MiB 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

158.0ms

512×

valid

Compiler

Compiled 78 to 40 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 108.0ms (90.2% of total)

ival-div: 8.0ms (6.7% of total)

ival-sub: 2.0ms (1.7% of total)

exact: 1.0ms (0.8% of total)

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

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

eval136.0ms (2.9%)

Memory: -36.4MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify156.0ms (3.3%)

Memory

10.2MiB live, 49.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize23.0ms (0.5%)

Memory

29.3MiB live, 68.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

15.0ms

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 (45.8% of total)

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

ival-sub: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

-28.4MiB live, 12.5MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#<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 (* 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)>

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(- (/ (* x y) 2) (/ z 8))
1.0ms	x	@	inf	(/ (* x y) 2)
1.0ms	y	@	inf	(- (/ (* x y) 2) (/ z 8))
0.0ms	x	@	inf	(- (/ (* x y) 2) (/ z 8))
0.0ms	z	@	0	(- (/ (* x y) 2) (/ z 8))

rewrite299.0ms (6.4%)

Memory

38.3MiB live, 628.0MiB 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)
(* x y)
(/ z 8)

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

simplify612.0ms (13.2%)

Memory

-134.6MiB live, 419.2MiB 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	860	508
4	1966	508
5	4045	508
6	6408	508
0	8139	481

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* -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)))))
(* 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)

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

eval35.0ms (0.7%)

Memory: 1.9MiB live, 80.0MiB allocated
Compiler: Compiled 5 409 to 613 computations (88.7% saved)

prune32.0ms (0.7%)

Memory

8.3MiB live, 85.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	313	4	317
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	313	5	318

Accuracy

100.0%

Counts

318 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.5%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z) #s(literal -2 binary64)) (/.f64 #s(literal 16 binary64) z))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶	99.8%	(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
▶	51.2%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
▶	51.0%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 54 to 41 computations (24.1% saved)

simplify172.0ms (3.7%)

Memory

17.5MiB live, 295.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x y) #s(literal 8 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z)
✓	cost-diff	0	(+.f64 (/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z) #s(literal -2 binary64))
✓	cost-diff	256	(/.f64 (+.f64 (/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z) #s(literal -2 binary64)) (/.f64 #s(literal 16 binary64) z))
✓	cost-diff	0	(/.f64 z #s(literal 8 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)

Rules

3 404×	`-lowering-.f32`
3 404×	`-lowering-.f64`
3 350×	`accelerator-lowering-fma.f32`
3 350×	`accelerator-lowering-fma.f64`
2 810×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	83
1	38	83
2	76	83
3	110	83
4	152	83
5	261	83
6	530	83
7	839	83
8	1896	83
9	5830	83
0	8445	80

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* -1/8 z)
-1/8
z
(* 1/2 (* x y))
1/2
(* x y)
x
y
(- (/ x (/ 2 y)) (/ z 8))
(/ x (/ 2 y))
x
(/ 2 y)
2
y
(/ z 8)
z
8
(/ (+ (/ (* (* x y) 8) z) -2) (/ 16 z))
(+ (/ (* (* x y) 8) z) -2)
(/ (* (* x y) 8) z)
(* (* x y) 8)
(* x y)
x
y
8
z
-2
(/ 16 z)
16

Outputs
(* -1/8 z)
(/.f64 z #s(literal -8 binary64))
-1/8
#s(literal -1/8 binary64)
z
(* 1/2 (* x y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(* x y)
(*.f64 x y)
x
y
(- (/ x (/ 2 y)) (/ z 8))
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(/ x (/ 2 y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
x
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
(/ z 8)
(/.f64 z #s(literal 8 binary64))
z
8
#s(literal 8 binary64)
(/ (+ (/ (* (* x y) 8) z) -2) (/ 16 z))
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(+ (/ (* (* x y) 8) z) -2)
(+.f64 (/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z) #s(literal -2 binary64))
(/ (* (* x y) 8) z)
(/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z)
(* (* x y) 8)
(.f64 (.f64 x y) #s(literal 8 binary64))
(* x y)
(*.f64 x y)
x
y
8
#s(literal 8 binary64)
z
-2
#s(literal -2 binary64)
(/ 16 z)
(/.f64 #s(literal 16 binary64) z)
16
#s(literal 16 binary64)

localize60.0ms (1.3%)

Memory

-39.9MiB live, 98.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 (.f64 x y) #s(literal 8 binary64))
✓	accuracy	92.7%	(/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z)
✓	accuracy	90.5%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z) #s(literal -2 binary64)) (/.f64 #s(literal 16 binary64) z))
✓	accuracy	100.0%	(/.f64 z #s(literal 8 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) z)

Samples

39.0ms

256×

valid

Compiler

Compiled 89 to 23 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 14.0ms (56% of total)

ival-mult: 7.0ms (28% of total)

ival-sub: 1.0ms (4% of total)

ival-add: 1.0ms (4% of total)

exact: 1.0ms (4% of total)

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

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

series16.0ms (0.4%)

Memory

-14.2MiB live, 23.3MiB allocated

Counts

11 → 276

Calls

Call 1

Inputs
#<alt (* -1/8 z)>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (- (/ x (/ 2 y)) (/ z 8))>
#<alt (/ x (/ 2 y))>
#<alt (/ 2 y)>
#<alt (/ z 8)>
#<alt (/ (+ (/ (* (* x y) 8) z) -2) (/ 16 z))>
#<alt (+ (/ (* (* x y) 8) z) -2)>
#<alt (/ (* (* x y) 8) z)>
#<alt (* (* x y) 8)>

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

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (+ (/ (* (* x y) 8) z) -2) (/ 16 z))
1.0ms	x	@	0	(/ (+ (/ (* (* x y) 8) z) -2) (/ 16 z))
1.0ms	z	@	inf	(/ (+ (/ (* (* x y) 8) z) -2) (/ 16 z))
1.0ms	z	@	0	(/ (+ (/ (* (* x y) 8) z) -2) (/ 16 z))
1.0ms	y	@	0	(/ (+ (/ (* (* x y) 8) z) -2) (/ 16 z))

rewrite307.0ms (6.6%)

Memory

45.2MiB live, 427.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 652×	`-lowering-.f32`
4 652×	`-lowering-.f64`
4 120×	`accelerator-lowering-fma.f32`
4 120×	`accelerator-lowering-fma.f64`
4 110×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	111	65
2	916	65
0	8738	62

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 486

Calls

Call 1

Inputs
(* -1/8 z)
(* 1/2 (* x y))
(* x y)
(- (/ x (/ 2 y)) (/ z 8))
(/ x (/ 2 y))
(/ 2 y)
(/ z 8)
(/ (+ (/ (* (* x y) 8) z) -2) (/ 16 z))
(+ (/ (* (* x y) 8) z) -2)
(/ (* (* x y) 8) z)
(* (* x y) 8)

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

simplify309.0ms (6.7%)

Memory

-11.5MiB live, 388.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 970×	`accelerator-lowering-fma.f32`
4 970×	`accelerator-lowering-fma.f64`
3 938×	`-lowering-.f32`
3 938×	`-lowering-.f64`
2 470×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	1640
1	212	1640
2	617	1640
3	1438	1640
4	2685	1640
5	5344	1640
6	7932	1640
0	8929	1559

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

eval126.0ms (2.7%)

Memory: 21.7MiB live, 135.1MiB allocated
Compiler: Compiled 12 857 to 1 171 computations (90.9% saved)

prune106.0ms (2.3%)

Memory

1.0MiB live, 113.2MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	786	2	788
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	786	7	793

Accuracy

100.0%

Counts

793 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.5%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z) #s(literal -2 binary64)) (/.f64 #s(literal 16 binary64) z))
▶	51.0%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
▶	50.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	99.8%	(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
✓	51.2%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	51.0%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 70 to 54 computations (22.9% saved)

simplify5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal -8 binary64) z)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))

Rules

16×	`-lowering-.f32`
16×	`-lowering-.f64`
14×	`/-lowering-/.f32`
14×	`/-lowering-/.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	17	20
2	21	20
3	25	20
4	26	20
0	26	20

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize61.0ms (1.3%)

Memory

-17.9MiB live, 30.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) y)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal -8 binary64) z)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))

Samples

52.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 43.0ms (97.9% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

4 → 60

Calls

Call 1

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

Calls

15 calls:

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

rewrite369.0ms (7.9%)

Memory

-15.9MiB live, 387.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 204×	`-lowering-.f32`
3 204×	`-lowering-.f64`
1 958×	`/-lowering-/.f32`
1 958×	`/-lowering-/.f64`
1 692×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	48	14
2	209	14
3	942	14
4	5035	14
0	8267	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 412

Calls

Call 1

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

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

simplify10.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated

Algorithm

1×	egg-herbie

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	12	228
1	17	228
2	24	228
3	26	228
0	26	228

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

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)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -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))
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 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)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -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))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)

eval104.0ms (2.2%)

Memory: -16.9MiB live, 133.5MiB allocated
Compiler: Compiled 4 962 to 1 001 computations (79.8% saved)

prune62.0ms (1.3%)

Memory

27.0MiB live, 187.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	472	0	472
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	472	7	479

Accuracy

100.0%

Counts

479 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.5%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z) #s(literal -2 binary64)) (/.f64 #s(literal 16 binary64) z))
✓	51.0%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	50.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	99.8%	(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
✓	51.2%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	51.0%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 122 to 81 computations (33.6% saved)

regimes29.0ms (0.6%)

Memory

-37.7MiB live, 52.2MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x y) #s(literal 8 binary64)) z) #s(literal -2 binary64)) (/.f64 #s(literal 16 binary64) z))

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

Calls

7 calls:

9.0ms	y
5.0ms	(/.f64 z #s(literal 8 binary64))
3.0ms	x
3.0ms	z
3.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

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)

regimes13.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(*.f64 x y)`
99.8%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes18.0ms (0.4%)

Memory

-14.5MiB live, 22.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
75.3%	3	`x`
78.2%	3	`y`
75.9%	3	`z`
84.5%	3	`(*.f64 x y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
51.0%	1	`x`
51.0%	1	`z`
51.0%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.021189791672686e+70	2.595800830152002e+73
0.0ms	-4.0872582216498253e+51	-2.6939791741576798e+48

Compiler

Compiled 15 to 15 computations (0% saved)

simplify27.0ms (0.6%)

Memory

-19.9MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	42
1	31	42
2	41	42
3	47	42
4	52	42
5	54	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -3999999999999999972883794697446511905846833767776256 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -3999999999999999972883794697446511905846833767776256 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -3999999999999999972883794697446511905846833767776256 binary64)) (.f64 (.f64 x y) #s(literal 1/2 binary64)) (if (<=.f64 (.f64 x y) #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 (*.f64 x y) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))

soundness367.0ms (7.9%)

Memory

39.6MiB live, 301.0MiB allocated

Rules

5 312×	`accelerator-lowering-fma.f32`
5 312×	`accelerator-lowering-fma.f64`
4 784×	`-lowering-.f32`
4 784×	`-lowering-.f64`
4 218×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	508
1	123	508
2	350	508
3	860	508
4	1966	508
5	4045	508
6	6408	508
0	8139	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

Compiler

Compiled 81 to 47 computations (42% saved)

preprocess51.0ms (1.1%)

Memory: -20.2MiB live, 135.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 194 to 116 computations (40.2% 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%)

sample831.0ms (17.9%)

preprocess62.0ms (1.3%)

explain230.0ms (4.9%)

eval136.0ms (2.9%)

prune1.0ms (0%)

simplify156.0ms (3.3%)

localize23.0ms (0.5%)

series14.0ms (0.3%)

rewrite299.0ms (6.4%)

simplify612.0ms (13.2%)

eval35.0ms (0.7%)

prune32.0ms (0.7%)

simplify172.0ms (3.7%)

localize60.0ms (1.3%)

series16.0ms (0.4%)

rewrite307.0ms (6.6%)

simplify309.0ms (6.7%)

eval126.0ms (2.7%)

prune106.0ms (2.3%)

simplify5.0ms (0.1%)

localize61.0ms (1.3%)

series1.0ms (0%)

rewrite369.0ms (7.9%)

simplify10.0ms (0.2%)

eval104.0ms (2.2%)

prune62.0ms (1.3%)

regimes29.0ms (0.6%)

regimes13.0ms (0.3%)

regimes18.0ms (0.4%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify27.0ms (0.6%)

soundness367.0ms (7.9%)

preprocess51.0ms (1.1%)

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