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

analyze48.0ms (0.8%)

Memory

11.2MiB live, 49.6MiB 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)

sample625.0ms (10.2%)

Memory

-4.1MiB live, 1 101.7MiB allocated

Samples

376.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-div: 63.0ms (41% of total)

ival-sub: 46.0ms (29.9% of total)

ival-add: 37.0ms (24.1% of total)

ival-true: 5.0ms (3.3% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

preprocess170.0ms (2.8%)

Memory

-12.3MiB live, 108.9MiB 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))

explain70.0ms (1.1%)

Memory

-6.8MiB live, 148.7MiB 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

33.0ms

512×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

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

ival-div: 4.0ms (43.4% of total)

ival-sub: 3.0ms (32.5% of total)

ival-add: 2.0ms (21.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify37.0ms (0.6%)

Memory

-4.1MiB live, 33.0MiB 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

localize21.0ms (0.3%)

Memory

-6.1MiB live, 31.4MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (44.3% of total)

ival-sub: 1.0ms (22.1% of total)

ival-add: 1.0ms (22.1% of total)

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

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

series7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB 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))

rewrite401.0ms (6.5%)

Memory

6.8MiB live, 430.0MiB 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 (neg.f64 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 (neg.f64 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 (neg.f64 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 (neg.f64 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 (neg.f64 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) (neg.f64 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 (neg.f64 y) (/.f64 #s(literal -1 binary64) z) (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 x (neg.f64 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 (neg.f64 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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(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x x (-.f64 (.f64 y y) (*.f64 y (neg.f64 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 (neg.f64 (+.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)) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (+.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 (neg.f64 (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 (neg.f64 (+.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 (neg.f64 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))) (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.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)) (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (+.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) (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y)))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.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))))

simplify298.0ms (4.8%)

Memory

-33.2MiB live, 261.8MiB 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 (-.f64 (fma.f64 z x y) x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (-.f64 (fma.f64 z x y) x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (-.f64 (fma.f64 z x 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 (/ 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 (neg.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 (neg.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 (neg.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)
(neg.f64 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)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 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)

eval66.0ms (1.1%)

Memory: 29.4MiB live, 104.6MiB allocated
Compiler: Compiled 9 107 to 1 059 computations (88.4% saved)

prune113.0ms (1.8%)

Memory

-2.6MiB live, 79.4MiB 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
▶	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x) x)
	61.0%	(/.f64 (-.f64 y x) z)
▶	38.4%	(/.f64 y z)
	98.0%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
▶	64.4%	(-.f64 x (/.f64 x z))
▶	76.5%	(+.f64 x (/.f64 y z))
▶	41.0%	x

Compiler

Compiled 114 to 72 computations (36.8% saved)

simplify38.0ms (0.6%)

Memory

-13.3MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x) x)

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	23	44
2	49	44
3	115	44
4	208	44
5	340	44
6	489	44
7	677	44
8	938	44
9	983	44
0	983	44

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize51.0ms (0.8%)

Memory

28.9MiB live, 67.5MiB allocated

Localize:

Found 8 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 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x) x)

Samples

38.0ms

256×

valid

Compiler

Compiled 47 to 14 computations (70.2% saved)

Precisions

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

ival-div: 6.0ms (50.2% of total)

ival-sub: 2.0ms (16.7% of total)

ival-add: 2.0ms (16.7% of total)

ival-mult: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.4%)

Memory

-30.1MiB live, 8.5MiB allocated

Counts

7 → 180

Calls

Call 1

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

Outputs
#<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 (- 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 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 (/ 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)>
#<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 (/ 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 (/ 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)))>
#<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)>

Calls

45 calls:

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

rewrite408.0ms (6.6%)

Memory

18.2MiB live, 376.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 274×	`accelerator-lowering-fma.f32`
7 274×	`accelerator-lowering-fma.f64`
4 894×	`-lowering-.f32`
4 894×	`-lowering-.f64`
3 984×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	83	29
2	766	29
0	8769	29

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 340

Calls

Call 1

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

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

simplify608.0ms (9.9%)

Memory

-11.9MiB live, 474.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 314×	`accelerator-lowering-fma.f32`
14 314×	`accelerator-lowering-fma.f64`
4 192×	`-lowering-.f32`
4 192×	`-lowering-.f64`
1 618×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	780
1	192	780
2	514	780
3	1573	726
4	3683	726
5	5627	726
6	7191	726
7	7799	726
8	7959	726
9	7982	726
0	9109	726

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(/ (- 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))
(- 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 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)))
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 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)
(/ 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 (/ 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)))
(/ 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)

Outputs
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(/ (- (+ y (* x z)) x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(/ (- (+ y (* x z)) x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
x
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(-.f64 x (/.f64 (-.f64 x y) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(-.f64 x (/.f64 (-.f64 x 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)
(* -1 x)
(neg.f64 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)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 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)
(/ 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 (/ 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 x (neg.f64 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))
(/ 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)

eval96.0ms (1.6%)

Memory: 1.5MiB live, 114.9MiB allocated
Compiler: Compiled 9 189 to 897 computations (90.2% saved)

prune101.0ms (1.6%)

Memory

-2.0MiB live, 81.0MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	568	2	570
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	569	8	577

Accuracy

100.0%

Counts

577 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(fma.f64 (/.f64 #s(literal 1 binary64) z) y x)
▶	61.0%	(/.f64 (-.f64 y x) z)
✓	38.4%	(/.f64 y z)
▶	25.5%	(/.f64 x (neg.f64 z))
▶	98.0%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	64.4%	(-.f64 x (/.f64 x z))
✓	76.5%	(+.f64 x (/.f64 y z))
✓	41.0%	x

Compiler

Compiled 62 to 40 computations (35.5% saved)

simplify75.0ms (1.2%)

Memory

0.9MiB live, 40.6MiB 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 y x)
✓	cost-diff	0	(/.f64 (-.f64 y x) z)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(/.f64 x (neg.f64 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: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	32	52
2	56	52
3	110	52
4	242	52
5	476	52
6	660	52
7	875	52
8	937	52
9	950	52
0	950	52

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

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 (neg z))
(/.f64 x (neg.f64 z))
x
(neg z)
(neg.f64 z)
z
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(- y x)
(-.f64 y x)
y
x
z
(+ (* (/ 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

localize62.0ms (1%)

Memory

5.3MiB live, 44.8MiB 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%	(-.f64 y x)
✓	accuracy	100.0%	(/.f64 (-.f64 y x) z)
✓	accuracy	100.0%	(/.f64 x (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 (/.f64 x z) x)
✓	accuracy	98.1%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Samples

27.0ms

256×

valid

Compiler

Compiled 57 to 17 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 9.0ms (57.9% of total)

ival-sub: 3.0ms (19.3% of total)

ival-add: 1.0ms (6.4% of total)

ival-mult: 1.0ms (6.4% of total)

ival-neg: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

10 → 252

Calls

Call 1

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

63 calls:

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

rewrite483.0ms (7.8%)

Memory

11.8MiB live, 646.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 180×	`-lowering-.f32`
5 180×	`-lowering-.f64`
4 850×	`/-lowering-/.f32`
4 850×	`/-lowering-/.f64`
4 354×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	109	40
2	1014	40
0	8558	40

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 682

Calls

Call 1

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

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

simplify288.0ms (4.7%)

Memory

-29.6MiB live, 574.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 524×	`accelerator-lowering-fma.f32`
7 524×	`accelerator-lowering-fma.f64`
2 300×	`-lowering-.f32`
2 300×	`-lowering-.f64`
2 048×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1075
1	263	1036
2	704	1036
3	2177	1036
4	4818	1036
5	5962	1036
6	6748	1036
7	7014	1036
8	7096	1036
9	7110	1036
0	8084	1030

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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)
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 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)
(/ (+ 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
(- 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 (-.f64 (fma.f64 x z y) x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (-.f64 (fma.f64 x z y) x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (-.f64 (fma.f64 x z 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 (fma.f64 x (neg.f64 z) x) z)
(/ (+ x (* -1 (* x z))) z)
(/.f64 (fma.f64 x (neg.f64 z) x) z)
(/ (+ x (* -1 (* x z))) z)
(/.f64 (fma.f64 x (neg.f64 z) x) z)
(* -1 x)
(neg.f64 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)
(neg.f64 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)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (/ x z))
(/.f64 (neg.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 (neg.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 (neg.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)
(neg.f64 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)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 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)
(/ (+ y (* x z)) z)
(/.f64 (fma.f64 x z y) z)
(/ (+ y (* x z)) z)
(/.f64 (fma.f64 x z y) z)
(/ (+ y (* x z)) z)
(/.f64 (fma.f64 x z 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)

eval106.0ms (1.7%)

Memory: 35.8MiB live, 345.6MiB allocated
Compiler: Compiled 17 808 to 1 848 computations (89.6% saved)

prune102.0ms (1.7%)

Memory

-20.6MiB live, 304.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	933	1	934
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	934	8	942

Accuracy

100.0%

Counts

942 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.4%	(fma.f64 (/.f64 #s(literal 1 binary64) z) y x)
✓	61.0%	(/.f64 (-.f64 y x) z)
✓	38.4%	(/.f64 y z)
✓	25.5%	(/.f64 x (neg.f64 z))
▶	59.0%	(-.f64 (/.f64 y z) (/.f64 x z))
✓	64.4%	(-.f64 x (/.f64 x z))
✓	76.5%	(+.f64 x (/.f64 y z))
✓	41.0%	x

Compiler

Compiled 60 to 39 computations (35% saved)

simplify25.0ms (0.4%)

Memory

10.9MiB live, 48.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

272×	`accelerator-lowering-fma.f32`
272×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
88×	`/-lowering-/.f32`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	8	16
2	17	16
3	27	16
4	44	16
5	68	16
6	116	16
7	184	16
8	373	16
9	578	14
10	786	14
11	827	14
12	856	14
0	856	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

0.4MiB live, 40.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	98.1%	(-.f64 (/.f64 y z) (/.f64 x z))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 4.0ms (79.1% of total)

ival-sub: 1.0ms (19.8% of total)

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

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

series1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 84

Calls

Call 1

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

Calls

21 calls:

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

rewrite210.0ms (3.4%)

Memory

0.8MiB live, 356.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 398×	`accelerator-lowering-fma.f32`
4 398×	`accelerator-lowering-fma.f64`
3 608×	`-lowering-.f32`
3 608×	`-lowering-.f64`
3 206×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	41	11
2	439	11
0	9508	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 218

Calls

Call 1

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

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

simplify194.0ms (3.2%)

Memory

9.9MiB live, 166.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 126×	`-lowering-.f32`
2 126×	`-lowering-.f64`
2 064×	`accelerator-lowering-fma.f32`
2 064×	`accelerator-lowering-fma.f64`
1 256×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	315
1	99	315
2	294	315
3	930	315
4	2470	315
5	3478	315
6	4736	315
7	5247	315
8	5277	315
9	5279	315
10	6986	315
11	7397	315
12	7586	315
13	7941	315
0	8018	315

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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)

Outputs
(* -1 (/ x z))
(/.f64 (neg.f64 x) 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 (neg.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 (neg.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 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)

eval37.0ms (0.6%)

Memory: -19.9MiB live, 52.7MiB allocated
Compiler: Compiled 5 066 to 596 computations (88.2% saved)

prune36.0ms (0.6%)

Memory

11.9MiB live, 58.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	302	8	310

Accuracy

100.0%

Counts

310 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.4%	(fma.f64 (/.f64 #s(literal 1 binary64) z) y x)
✓	61.0%	(/.f64 (-.f64 y x) z)
✓	38.4%	(/.f64 y z)
✓	25.5%	(/.f64 x (neg.f64 z))
✓	59.0%	(-.f64 (/.f64 y z) (/.f64 x z))
✓	64.4%	(-.f64 x (/.f64 x z))
✓	76.5%	(+.f64 x (/.f64 y z))
✓	41.0%	x

Compiler

Compiled 123 to 58 computations (52.8% saved)

regimes20.0ms (0.3%)

Memory

-12.3MiB live, 24.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

8.0ms	x
4.0ms	z
4.0ms	y
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)

regimes11.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)
(/.f64 x (neg.f64 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:

3.0ms	z
3.0ms	y
3.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
92.1%	4	`x`
89.7%	3	`y`
98.5%	3	`z`
86.1%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
90.3%	3	`x`
79.9%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.2%)

Memory

-24.8MiB live, 12.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.0%	2	`(+.f64 x (/.f64 (-.f64 y x) z))`
76.5%	1	`y`
76.5%	1	`x`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

3 → 5

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
59.7%	3	`x`
59.8%	3	`y`
69.0%	5	`z`
54.9%	4	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)

Outputs
x
(/.f64 y z)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.6%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB 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	x
1.0ms	y
1.0ms	z
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
41.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
41.0%	1	`x`
41.0%	1	`y`
41.0%	1	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch19.0ms (0.3%)

Memory

-18.8MiB live, 18.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.0001336701380931387	0.00017595204916598235
14.0ms	-62.85562502658099	-8.15468648772104e-5

Samples

8.0ms

192×

valid

Compiler

Compiled 229 to 156 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (30.3% of total)

ival-div: 1.0ms (30.3% of total)

ival-add: 1.0ms (30.3% of total)

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

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

bsearch18.0ms (0.3%)

Memory

22.5MiB live, 22.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.740396786047388e-60	5.710245388311672e-50
6.0ms	-4.8783308086501206e+73	-2.1152237853515156e+73

Samples

10.0ms

240×

valid

Compiler

Compiled 283 to 192 computations (32.2% saved)

Precisions

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

ival-div: 2.0ms (48.5% of total)

ival-sub: 1.0ms (24.2% of total)

ival-add: 1.0ms (24.2% of total)

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

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.0226477401501548e+305

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch42.0ms (0.7%)

Memory

-30.3MiB live, 50.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	2.2506223146738065e+107	1.5717672202357495e+109
9.0ms	1.1414076363721526e-275	8.028129516870265e-272
15.0ms	-1.2907377985294225e-79	-7.152871877063691e-81
5.0ms	-197.32005618833816	-124.73408425700599

Samples

16.0ms

416×

valid

Compiler

Compiled 370 to 276 computations (25.4% saved)

Precisions

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

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

ival-sub: 2.0ms (27.9% of total)

ival-add: 2.0ms (27.9% of total)

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

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

bsearch14.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.2506223146738065e+107	1.5717672202357495e+109
5.0ms	-197.32005618833816	-124.73408425700599

Samples

7.0ms

176×

valid

Compiler

Compiled 145 to 111 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (33.2% of total)

ival-div: 1.0ms (33.2% of total)

ival-add: 1.0ms (33.2% of total)

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

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

simplify12.0ms (0.2%)

Memory

-17.9MiB live, 20.1MiB 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	43	106
1	62	106
2	71	106
3	76	106
4	78	106

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 6456360425798343/36893488147419103232 binary64)) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 x #s(literal -21500000000000000655253513092004128780980303788717803708585436254474076160 binary64)) (-.f64 x (/.f64 x z)) (if (<=.f64 x #s(literal 2948744166719601/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z))))
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) z)) #s(literal -inf.0 binary64)) (/.f64 x (neg.f64 z)) (+.f64 x (/.f64 y z)))
(if (<=.f64 z #s(literal -195 binary64)) x (if (<=.f64 z #s(literal -8677447333428697/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (/.f64 y z) (if (<=.f64 z #s(literal 7796251209119999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808 binary64)) (/.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal 230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) (/.f64 y z) x))))
(if (<=.f64 z #s(literal -195 binary64)) x (if (<=.f64 z #s(literal 419999999999999993420328121796048806487585532967384810872604549092720407609666148594086969303340175968960512 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 6456360425798343/36893488147419103232 binary64)) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 x #s(literal -21500000000000000655253513092004128780980303788717803708585436254474076160 binary64)) (-.f64 x (/.f64 x z)) (if (<=.f64 x #s(literal 2948744166719601/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z))))
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) z)) #s(literal -inf.0 binary64)) (/.f64 x (neg.f64 z)) (+.f64 x (/.f64 y z)))
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) z)) #s(literal -inf.0 binary64)) (neg.f64 (/.f64 x z)) (+.f64 x (/.f64 y z)))
(if (<=.f64 z #s(literal -195 binary64)) x (if (<=.f64 z #s(literal -8677447333428697/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (/.f64 y z) (if (<=.f64 z #s(literal 7796251209119999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808 binary64)) (/.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal 230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) (/.f64 y z) x))))
(if (<=.f64 z #s(literal -195 binary64)) x (if (<=.f64 z #s(literal -8677447333428697/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (/.f64 y z) (if (<=.f64 z #s(literal 7796251209119999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808 binary64)) (neg.f64 (/.f64 x z)) (if (<=.f64 z #s(literal 230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) (/.f64 y z) x))))
(if (<=.f64 z #s(literal -195 binary64)) x (if (<=.f64 z #s(literal 419999999999999993420328121796048806487585532967384810872604549092720407609666148594086969303340175968960512 binary64)) (/.f64 y z) x))
x

soundness1.1s (17.7%)

Memory

-8.9MiB live, 323.2MiB allocated

Rules

14 314×	`accelerator-lowering-fma.f32`
14 314×	`accelerator-lowering-fma.f64`
6 368×	`accelerator-lowering-fma.f32`
6 368×	`accelerator-lowering-fma.f64`
4 192×	`-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
0	71	780
1	192	780
2	514	780
3	1573	726
4	3683	726
5	5627	726
6	7191	726
7	7799	726
8	7959	726
9	7982	726
0	9109	726

Stop Event

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

Compiler

Compiled 211 to 104 computations (50.7% saved)

preprocess63.0ms (1%)

Memory: 28.8MiB live, 106.4MiB allocated
Compiler: Compiled 254 to 96 computations (62.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	46
1	23	44
2	49	44
3	115	44
4	208	44
5	340	44
6	489	44
7	677	44
8	938	44
9	983	44
0	983	44

Iter	Nodes	Cost
0	15	54
1	32	52
2	56	52
3	110	52
4	242	52
5	476	52
6	660	52
7	875	52
8	937	52
9	950	52
0	950	52

Iter	Nodes	Cost
0	6	16
1	8	16
2	17	16
3	27	16
4	44	16
5	68	16
6	116	16
7	184	16
8	373	16
9	578	14
10	786	14
11	827	14
12	856	14
0	856	14

Iter	Nodes	Cost
0	12	46
1	23	44
2	49	44
3	115	44
4	208	44
5	340	44
6	489	44
7	677	44
8	938	44
9	983	44
0	983	44

Iter	Nodes	Cost
0	15	54
1	32	52
2	56	52
3	110	52
4	242	52
5	476	52
6	660	52
7	875	52
8	937	52
9	950	52
0	950	52

Iter	Nodes	Cost
0	6	16
1	8	16
2	17	16
3	27	16
4	44	16
5	68	16
6	116	16
7	184	16
8	373	16
9	578	14
10	786	14
11	827	14
12	856	14
0	856	14

analyze48.0ms (0.8%)

sample625.0ms (10.2%)

preprocess170.0ms (2.8%)

explain70.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (0.6%)

localize21.0ms (0.3%)

series7.0ms (0.1%)

rewrite401.0ms (6.5%)

simplify298.0ms (4.8%)

eval66.0ms (1.1%)

prune113.0ms (1.8%)

simplify38.0ms (0.6%)

localize51.0ms (0.8%)

series25.0ms (0.4%)

rewrite408.0ms (6.6%)

simplify608.0ms (9.9%)

eval96.0ms (1.6%)

prune101.0ms (1.6%)

simplify75.0ms (1.2%)

localize62.0ms (1%)

series6.0ms (0.1%)

rewrite483.0ms (7.8%)

simplify288.0ms (4.7%)

eval106.0ms (1.7%)

prune102.0ms (1.7%)

simplify25.0ms (0.4%)

localize22.0ms (0.4%)

series1.0ms (0%)

rewrite210.0ms (3.4%)

simplify194.0ms (3.2%)

eval37.0ms (0.6%)

prune36.0ms (0.6%)

regimes20.0ms (0.3%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch19.0ms (0.3%)

bsearch18.0ms (0.3%)

bsearch0.0ms (0%)

bsearch42.0ms (0.7%)

bsearch14.0ms (0.2%)

simplify12.0ms (0.2%)

soundness1.1s (17.7%)

preprocess63.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	46
1	23	44
2	49	44
3	115	44
4	208	44
5	340	44
6	489	44
7	677	44
8	938	44
9	983	44
0	983	44

Iter	Nodes	Cost
0	15	54
1	32	52
2	56	52
3	110	52
4	242	52
5	476	52
6	660	52
7	875	52
8	937	52
9	950	52
0	950	52

Iter	Nodes	Cost
0	6	16
1	8	16
2	17	16
3	27	16
4	44	16
5	68	16
6	116	16
7	184	16
8	373	16
9	578	14
10	786	14
11	827	14
12	856	14
0	856	14