Metrics for Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

analyze37.0ms (0.6%)

Memory

10.2MiB live, 88.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample835.0ms (13%)

Memory

-119.5MiB live, 1 063.5MiB allocated

Samples

641.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-div: 60.0ms (36.6% of total)

ival-sub: 49.0ms (29.9% of total)

ival-add: 46.0ms (28.1% of total)

ival-true: 6.0ms (3.7% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess171.0ms (2.6%)

Memory

-15.3MiB live, 113.2MiB allocated

Algorithm

2×	egg-herbie

Rules

624×	`accelerator-lowering-fma.f32`
624×	`accelerator-lowering-fma.f64`
520×	`distribute-rgt-in`
486×	`times-frac`
480×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	79
1	81	70
2	235	70
3	710	70
4	1774	70
5	3166	70
6	3628	70
7	3824	70
8	3902	70
9	3918	70
10	3918	70
11	3918	70
12	4010	70
13	4051	70
0	6	7
1	12	7
2	23	7
3	42	7
4	85	7
5	155	7
6	350	7
7	627	7
8	895	7
9	976	7
10	1024	7
11	1063	7
0	1063	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ x (/ (- y x) z))

Outputs
(+ x (/ (- y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))

Call 2

Inputs
(+ x (/ (- y x) z))
(+ (neg x) (/ (- y (neg x)) z))
(+ x (/ (- (neg y) x) z))
(+ x (/ (- y x) (neg z)))
(neg (+ (neg x) (/ (- y (neg x)) z)))
(neg (+ x (/ (- (neg y) x) z)))
(neg (+ x (/ (- y x) (neg z))))
(+ y (/ (- x y) z))
(+ z (/ (- y z) x))
(+ x (/ (- z x) y))

Outputs
(+ x (/ (- y x) z))
(+ (neg x) (/ (- y (neg x)) z))
(- (/ (+ x y) z) x)
(+ x (/ (- (neg y) x) z))
(- x (/ (+ x y) z))
(+ x (/ (- y x) (neg z)))
(+ x (/ (- x y) z))
(neg (+ (neg x) (/ (- y (neg x)) z)))
(- x (/ (+ x y) z))
(neg (+ x (/ (- (neg y) x) z)))
(- (/ (+ x y) z) x)
(neg (+ x (/ (- y x) (neg z))))
(- (/ (- y x) z) x)
(+ y (/ (- x y) z))
(+ z (/ (- y z) x))
(+ x (/ (- z x) y))

explain72.0ms (1.1%)

Memory

0.6MiB live, 159.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 y x)`
-	-	`(/.f64 (-.f64 y x) z)`
-	-	`y`
-	-	`(+.f64 x (/.f64 (-.f64 y x) z))`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (37.2% of total)

ival-div: 4.0ms (37.2% of total)

ival-add: 2.0ms (18.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify49.0ms (0.8%)

Memory

20.2MiB live, 58.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 y x)
✓	cost-diff	(/.f64 (-.f64 y x) z)
✓	cost-diff	(+.f64 x (/.f64 (-.f64 y x) z))

Rules

624×	`accelerator-lowering-fma.f32`
624×	`accelerator-lowering-fma.f64`
256×	`-lowering-.f32`
256×	`-lowering-.f64`
160×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	12	18
2	23	18
3	42	18
4	85	18
5	155	18
6	350	18
7	627	18
8	895	18
9	976	18
10	1024	18
11	1063	18
0	1063	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (/ (- y x) z))
x
(/ (- y x) z)
(- y x)
y
z

Outputs
(+ x (/ (- y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(- y x)
(-.f64 y x)
y
z

localize54.0ms (0.8%)

Memory

-10.8MiB live, 29.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(/.f64 (-.f64 y x) z)
✓	accuracy	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))

Samples

48.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-sub: 2.0ms (41.4% of total)

ival-div: 2.0ms (41.4% of total)

ival-add: 1.0ms (20.7% of total)

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

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

series7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

3 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite433.0ms (6.7%)

Memory

6.9MiB live, 394.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 810×	`-lowering-.f32`
3 810×	`-lowering-.f64`
3 562×	`accelerator-lowering-fma.f32`
3 562×	`accelerator-lowering-fma.f64`
2 654×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	43	15
2	405	15
3	5432	15
0	8219	15

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 338

Calls

Call 1

Inputs
(+ x (/ (- y x) z))
(/ (- y x) z)
(- y x)

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

simplify255.0ms (4%)

Memory

-16.7MiB live, 375.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 368×	`accelerator-lowering-fma.f32`
6 368×	`accelerator-lowering-fma.f64`
2 116×	`-lowering-.f32`
2 116×	`-lowering-.f64`
1 680×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	562
1	198	460
2	553	460
3	1579	460
4	3533	460
5	5023	460
6	6476	460
7	6764	460
8	6866	460
9	6866	460
0	8129	457

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval49.0ms (0.8%)

Memory: 30.6MiB live, 145.1MiB allocated
Compiler: Compiled 9 217 to 1 061 computations (88.5% saved)

prune76.0ms (1.2%)

Memory

-26.5MiB live, 149.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	427	7	434
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	428	7	435

Accuracy

100.0%

Counts

435 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.5%	(/.f64 (fma.f64 x (+.f64 z #s(literal -1 binary64)) y) z)
	66.5%	(/.f64 (-.f64 y x) z)
▶	43.4%	(/.f64 y z)
▶	97.2%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
▶	60.0%	(-.f64 x (/.f64 x z))
▶	76.6%	(+.f64 x (/.f64 y z))
▶	35.9%	x

Compiler

Compiled 114 to 72 computations (36.8% saved)

simplify47.0ms (0.7%)

Memory

-6.3MiB live, 73.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 x (/.f64 x z))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(+.f64 x (/.f64 y z))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 (/.f64 x z) x)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	704	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Rules

624×	`accelerator-lowering-fma.f32`
624×	`accelerator-lowering-fma.f64`
256×	`-lowering-.f32`
256×	`-lowering-.f64`
160×	`+-lowering-+.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	9	50
1	18	50
2	37	50
3	78	50
4	175	50
5	326	50
6	557	50
7	783	50
8	938	48
9	1049	48
10	1145	48
11	1155	48
0	1155	48

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ y z) (- (/ x z) x))
(/ y z)
y
z
(- (/ x z) x)
(/ x z)
x
x
(/ y z)
y
z
(+ x (/ y z))
x
(/ y z)
y
z
(- x (/ x z))
x
(/ x z)
z

Outputs
(- (/ y z) (- (/ x z) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
y
z
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
x
x
(/ y z)
(/.f64 y z)
y
z
(+ x (/ y z))
(+.f64 (/.f64 y z) x)
x
(/ y z)
(/.f64 y z)
y
z
(- x (/ x z))
(-.f64 x (/.f64 x z))
x
(/ x z)
(/.f64 x z)
z

localize35.0ms (0.5%)

Memory

14.2MiB live, 88.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 x (/.f64 x z))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 x (/.f64 y z))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 (/.f64 x z) x)
✓	accuracy	97.5%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Samples

23.0ms

256×

valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

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

ival-div: 6.0ms (47.9% of total)

ival-sub: 5.0ms (39.9% of total)

ival-add: 1.0ms (8% of total)

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

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

series5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

6 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(- (/ y z) (- (/ x z) x))
0.0ms	y	@	-inf	(/ y z)
0.0ms	x	@	inf	(- (/ x z) x)
0.0ms	z	@	inf	(- (/ y z) (- (/ x z) x))
0.0ms	y	@	inf	(/ y z)

rewrite467.0ms (7.2%)

Memory

31.7MiB live, 784.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 960×	`-lowering-.f32`
4 960×	`-lowering-.f64`
4 860×	`/-lowering-/.f32`
4 860×	`/-lowering-/.f64`
3 644×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	71	28
2	814	28
0	8181	28

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 301

Calls

Call 1

Inputs
(- (/ y z) (- (/ x z) x))
(/ y z)
(- (/ x z) x)
(/ x z)
(+ x (/ y z))
(- x (/ x z))

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

simplify316.0ms (4.9%)

Memory

-25.0MiB live, 507.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 146×	`accelerator-lowering-fma.f32`
7 146×	`accelerator-lowering-fma.f64`
2 484×	`-lowering-.f32`
2 484×	`-lowering-.f64`
1 766×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	781
1	189	781
2	485	739
3	1663	739
4	4271	739
5	6235	739
6	7804	739
0	8210	739

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval81.0ms (1.3%)

Memory: 20.4MiB live, 131.4MiB allocated
Compiler: Compiled 12 509 to 979 computations (92.2% saved)

prune56.0ms (0.9%)

Memory

8.4MiB live, 129.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	604	2	606
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	605	8	613

Accuracy

100.0%

Counts

613 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(fma.f64 (/.f64 #s(literal 1 binary64) z) y x)
▶	86.5%	(/.f64 (fma.f64 x (+.f64 z #s(literal -1 binary64)) y) z)
▶	66.5%	(/.f64 (-.f64 y x) z)
✓	43.4%	(/.f64 y z)
▶	63.8%	(-.f64 (/.f64 y z) (/.f64 x z))
✓	60.0%	(-.f64 x (/.f64 x z))
✓	76.6%	(+.f64 x (/.f64 y z))
✓	35.9%	x

Compiler

Compiled 64 to 41 computations (35.9% saved)

simplify317.0ms (4.9%)

Memory

-22.2MiB live, 501.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) z) y x)
✓	cost-diff	0	(+.f64 z #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x (+.f64 z #s(literal -1 binary64)) y)
✓	cost-diff	192	(/.f64 (fma.f64 x (+.f64 z #s(literal -1 binary64)) y) z)
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 (-.f64 y x) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	704	(-.f64 (/.f64 y z) (/.f64 x z))

Rules

7 920×	`accelerator-lowering-fma.f32`
7 920×	`accelerator-lowering-fma.f64`
2 852×	`-lowering-.f32`
2 852×	`-lowering-.f64`
1 304×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	36	60
2	61	60
3	99	60
4	166	60
5	287	60
6	511	58
7	954	58
8	1820	58
9	3140	58
10	3764	58
11	4080	58
12	4240	58
13	4246	58
14	5159	58
15	6307	58
16	7339	58
0	8052	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize133.0ms (2.1%)

Memory

32.3MiB live, 111.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) z) y x)
✓	accuracy	100.0%	(fma.f64 x (+.f64 z #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(+.f64 z #s(literal -1 binary64))
✓	accuracy	86.5%	(/.f64 (fma.f64 x (+.f64 z #s(literal -1 binary64)) y) z)
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(/.f64 (-.f64 y x) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	97.5%	(-.f64 (/.f64 y z) (/.f64 x z))

Samples

114.0ms

256×

valid

Compiler

Compiled 63 to 19 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-div: 93.0ms (91.1% of total)

ival-add: 3.0ms (2.9% of total)

ival-mult: 3.0ms (2.9% of total)

ival-sub: 2.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-21.3MiB live, 17.8MiB allocated

Counts

10 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (+ (* x (+ z -1)) y) z)
1.0ms	y	@	-inf	(- (/ y z) (/ x z))
1.0ms	z	@	-inf	(/ (+ (* x (+ z -1)) y) z)
1.0ms	x	@	-inf	(/ (+ (* x (+ z -1)) y) z)
0.0ms	z	@	inf	(/ (+ (* x (+ z -1)) y) z)

rewrite503.0ms (7.8%)

Memory

-1.3MiB live, 752.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 976×	`/-lowering-/.f32`
4 976×	`/-lowering-/.f64`
4 534×	`-lowering-.f32`
4 534×	`-lowering-.f64`
4 194×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	128	46
2	1162	46
0	8551	44

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 758

Calls

Call 1

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

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

simplify271.0ms (4.2%)

Memory

9.2MiB live, 440.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 166×	`accelerator-lowering-fma.f32`
8 166×	`accelerator-lowering-fma.f64`
3 088×	`-lowering-.f32`
3 088×	`-lowering-.f64`
1 444×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1371
1	353	1257
2	1067	1257
3	3407	1257
4	5832	1203
0	8112	1176

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval120.0ms (1.9%)

Memory: -34.0MiB live, 238.8MiB allocated
Compiler: Compiled 16 388 to 1 400 computations (91.5% saved)

prune193.0ms (3%)

Memory

25.1MiB live, 146.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 033	1	1 034
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	1 035	7	1 042

Accuracy

100.0%

Counts

1 042 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.1%	(/.f64 (fma.f64 x z y) z)
✓	66.5%	(/.f64 (-.f64 y x) z)
✓	43.4%	(/.f64 y z)
✓	63.8%	(-.f64 (/.f64 y z) (/.f64 x z))
✓	60.0%	(-.f64 x (/.f64 x z))
✓	76.6%	(+.f64 x (/.f64 y z))
✓	35.9%	x

Compiler

Compiled 53 to 33 computations (37.7% saved)

simplify3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x z y)
✓	cost-diff	0	(/.f64 (fma.f64 x z y) z)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	8	15
0	8	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (+ (* x z) y) z)
(/.f64 (fma.f64 x z y) z)
(+ (* x z) y)
(fma.f64 x z y)
x
z
y

localize19.0ms (0.3%)

Memory

-9.2MiB live, 29.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x z y)
✓	accuracy	86.4%	(/.f64 (fma.f64 x z y) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

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

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

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

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

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

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

series6.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

2 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite412.0ms (6.4%)

Memory

-13.5MiB live, 698.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 800×	`accelerator-lowering-fma.f32`
6 800×	`accelerator-lowering-fma.f64`
4 054×	`/-lowering-/.f32`
4 054×	`/-lowering-/.f64`
3 950×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	29	12
2	217	12
3	2252	12
0	8130	10

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 375

Calls

Call 1

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

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

simplify225.0ms (3.5%)

Memory

22.5MiB live, 345.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 722×	`accelerator-lowering-fma.f32`
3 722×	`accelerator-lowering-fma.f64`
2 862×	`-lowering-.f32`
2 862×	`-lowering-.f64`
1 464×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	312
1	153	312
2	413	312
3	1241	312
4	2485	312
5	3217	312
6	3742	312
7	4237	312
8	4504	312
9	4650	312
10	6444	312
0	8323	282

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval129.0ms (2%)

Memory: -14.1MiB live, 137.3MiB allocated
Compiler: Compiled 14 603 to 1 143 computations (92.2% saved)

prune66.0ms (1%)

Memory

8.0MiB live, 161.6MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	447	0	447
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	447	7	454

Accuracy

100.0%

Counts

454 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.1%	(/.f64 (fma.f64 x z y) z)
✓	66.5%	(/.f64 (-.f64 y x) z)
✓	43.4%	(/.f64 y z)
✓	63.8%	(-.f64 (/.f64 y z) (/.f64 x z))
✓	60.0%	(-.f64 x (/.f64 x z))
✓	76.6%	(+.f64 x (/.f64 y z))
✓	35.9%	x

Compiler

Compiled 118 to 55 computations (53.4% saved)

regimes18.0ms (0.3%)

Memory

6.8MiB live, 44.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

Calls

4 calls:

6.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes13.0ms (0.2%)

Memory

2.6MiB live, 38.4MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))
(/.f64 (-.f64 y x) z)

Outputs
(+.f64 x (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 x (/.f64 y z))

Calls

4 calls:

6.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
89.1%	3	`x`
90.0%	3	`y`
99.6%	3	`z`
91.0%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes7.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))

Outputs
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 y z))

Calls

3 calls:

2.0ms	y
2.0ms	z
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
90.0%	3	`y`
78.5%	2	`(+.f64 x (/.f64 (-.f64 y x) z))`
80.0%	3	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes10.0ms (0.2%)

Memory

-11.8MiB live, 24.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(/.f64 y z)
(+.f64 x (/.f64 y z))

Outputs
(+.f64 x (/.f64 y z))

Calls

4 calls:

4.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
76.6%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
76.6%	1	`z`
76.6%	1	`x`
76.6%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes12.0ms (0.2%)

Memory

-20.7MiB live, 22.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)

Outputs
x
(/.f64 y z)
x

Calls

4 calls:

7.0ms	z
2.0ms	x
2.0ms	y
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
64.2%	3	`z`
58.9%	3	`x`
63.0%	3	`y`
52.7%	5	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
35.9%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
35.9%	1	`x`
35.9%	1	`y`
35.9%	1	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch27.0ms (0.4%)

Memory

-14.4MiB live, 62.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.7592439955316576e-29	4.4868109039213485e-20
14.0ms	-831994349542.1659	-7.254794318152531e-17

Samples

13.0ms

320×

valid

Compiler

Compiled 373 to 252 computations (32.4% saved)

Precisions

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

ival-sub: 2.0ms (33.3% of total)

ival-div: 2.0ms (33.3% of total)

ival-add: 2.0ms (33.3% of total)

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

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

bsearch62.0ms (1%)

Memory

-15.7MiB live, 77.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.917698315983962e-77	3.849120898386898e-65
11.0ms	-5.564360211049041e-85	-1.6855828058650033e-89

Samples

12.0ms

288×

valid

Compiler

Compiled 337 to 228 computations (32.3% saved)

Precisions

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

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

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

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

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

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

bsearch18.0ms (0.3%)

Memory

22.3MiB live, 61.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	199849778910211400.0	1.0816896658718402e+23
6.0ms	-4.868303343169053e+95	-2.2650259891108716e+95

Samples

9.0ms

224×

valid

Compiler

Compiled 181 to 138 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (50.5% of total)

ival-sub: 1.0ms (25.3% of total)

ival-add: 1.0ms (25.3% of total)

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

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

simplify10.0ms (0.2%)

Memory

-2.4MiB live, 36.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	64
1	43	64
2	53	64
3	59	64
4	63	64
5	64	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 7310753976817037/166153499473114484112975882535043072 binary64)) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 y #s(literal -3079649020494481/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 5128645875475925/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(+.f64 x (/.f64 y z))
(if (<=.f64 z #s(literal -229999999999999997239648488057631300263959113783276177852409658326844822624292414646060203376640 binary64)) x (if (<=.f64 z #s(literal 230000000000000000 binary64)) (/.f64 y z) x))
x

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 7310753976817037/166153499473114484112975882535043072 binary64)) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 y #s(literal -3079649020494481/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 5128645875475925/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(+.f64 x (/.f64 y z))
(if (<=.f64 z #s(literal -229999999999999997239648488057631300263959113783276177852409658326844822624292414646060203376640 binary64)) x (if (<=.f64 z #s(literal 230000000000000000 binary64)) (/.f64 y z) x))
x

soundness758.0ms (11.8%)

Memory

-13.1MiB live, 223.7MiB allocated

Rules

6 368×	`accelerator-lowering-fma.f32`
6 368×	`accelerator-lowering-fma.f64`
2 116×	`-lowering-.f32`
2 116×	`-lowering-.f64`
1 680×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	562
1	198	460
2	553	460
3	1579	460
4	3533	460
5	5023	460
6	6476	460
7	6764	460
8	6866	460
9	6866	460
0	8129	457

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 129 to 63 computations (51.2% saved)

preprocess51.0ms (0.8%)

Memory: 8.1MiB live, 84.4MiB allocated
Compiler: Compiled 170 to 68 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze37.0ms (0.6%)

sample835.0ms (13%)

preprocess171.0ms (2.6%)

explain72.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify49.0ms (0.8%)

localize54.0ms (0.8%)

series7.0ms (0.1%)

rewrite433.0ms (6.7%)

simplify255.0ms (4%)

eval49.0ms (0.8%)

prune76.0ms (1.2%)

simplify47.0ms (0.7%)

localize35.0ms (0.5%)

series5.0ms (0.1%)

rewrite467.0ms (7.2%)

simplify316.0ms (4.9%)

eval81.0ms (1.3%)

prune56.0ms (0.9%)

simplify317.0ms (4.9%)

localize133.0ms (2.1%)

series11.0ms (0.2%)

rewrite503.0ms (7.8%)

simplify271.0ms (4.2%)

eval120.0ms (1.9%)

prune193.0ms (3%)

simplify3.0ms (0.1%)

localize19.0ms (0.3%)

series6.0ms (0.1%)

rewrite412.0ms (6.4%)

simplify225.0ms (3.5%)

eval129.0ms (2%)

prune66.0ms (1%)

regimes18.0ms (0.3%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes10.0ms (0.2%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch27.0ms (0.4%)

bsearch62.0ms (1%)

bsearch18.0ms (0.3%)

simplify10.0ms (0.2%)

soundness758.0ms (11.8%)

preprocess51.0ms (0.8%)

end0.0ms (0%)

Profiling