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

analyze63.0ms (1%)

Memory

-11.6MiB live, 69.2MiB 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)

sample637.0ms (10.6%)

Memory

45.2MiB live, 1 222.9MiB allocated

Samples

398.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-div: 92.0ms (48% of total)

ival-sub: 52.0ms (27.1% of total)

ival-add: 39.0ms (20.3% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess123.0ms (2%)

Memory

6.2MiB live, 89.7MiB allocated

Algorithm

1×	egg-herbie

Rules

624×	`lower-fma.f64`
624×	`lower-fma.f32`
480×	`div-sub`
476×	`times-frac`
430×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	78	63
2	229	63
3	682	63
4	1689	63
5	3091	63
6	3495	63
7	3694	63
8	3817	63
9	3865	63
10	3865	63
0	6	7
0	9	7
1	15	7
2	26	7
3	45	7
4	88	7
5	158	7
6	350	7
7	636	7
8	905	7
9	986	7
10	1034	7
11	1073	7
0	1073	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain80.0ms (1.3%)

Memory

-71.0MiB live, 109.0MiB 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

36.0ms

512×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 16.0ms (75.2% of total)

ival-sub: 3.0ms (14.1% of total)

ival-add: 2.0ms (9.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify41.0ms (0.7%)

Memory

4.2MiB live, 43.1MiB 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×	`lower-fma.f64`
624×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
160×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	45	18
4	88	18
5	158	18
6	350	18
7	636	18
8	905	18
9	986	18
10	1034	18
11	1073	18
0	1073	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

7.2MiB live, 45.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 3.0ms (43.8% of total)

ival-sub: 2.0ms (29.2% of total)

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

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

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

series8.0ms (0.1%)

Memory

-23.5MiB live, 14.8MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs
#<alt (+.f64 x (/.f64 (-.f64 y x) z))>
#<alt (/.f64 (-.f64 y x) z)>
#<alt (-.f64 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
2.0ms	y	@	inf	(/ (- y x) z)
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))

rewrite295.0ms (4.9%)

Memory

27.5MiB live, 421.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 808×	`lower-*.f64`
3 808×	`lower-*.f32`
3 560×	`lower-fma.f64`
3 560×	`lower-fma.f32`
2 654×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	46	15
2	408	15
3	5406	15
0	8250	15

Stop Event

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

Counts

3 → 338

Calls

Call 1

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

simplify299.0ms (5%)

Memory

9.8MiB live, 284.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 368×	`lower-fma.f64`
6 368×	`lower-fma.f32`
2 116×	`lower-*.f64`
2 116×	`lower-*.f32`
1 680×	`lower-/.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 → 91

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)

eval87.0ms (1.5%)

Memory: -5.7MiB live, 98.8MiB allocated
Compiler: Compiled 9 092 to 1 061 computations (88.3% saved)

prune77.0ms (1.3%)

Memory

22.1MiB live, 105.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	423	6	429
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	424	6	430

Accuracy

100.0%

Counts

430 → 6

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)
▶	66.3%	(/.f64 (-.f64 y x) z)
▶	38.5%	(/.f64 y z)
▶	65.9%	(-.f64 x (/.f64 x z))
▶	71.9%	(+.f64 x (/.f64 y z))
▶	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))

Compiler

Compiled 106 to 68 computations (35.8% saved)

simplify90.0ms (1.5%)

Memory

-9.2MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

672×	`lower-fma.f64`
672×	`lower-fma.f32`
304×	`lower-*.f64`
304×	`lower-*.f32`
176×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	65
0	22	67
1	33	67
2	53	61
3	109	61
4	231	61
5	374	61
6	543	61
7	761	61
8	1065	61
9	1187	61
10	1233	61
11	1243	61
12	1250	61
13	1251	61
0	1251	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (1.5%)

Memory

-12.7MiB live, 67.2MiB allocated

Localize:

Found 11 expressions of interest:

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

Samples

49.0ms

256×

valid

Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions

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

ival-div: 8.0ms (60.6% of total)

ival-sub: 3.0ms (22.7% of total)

ival-add: 2.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

9 → 276

Calls

Call 1

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

Outputs
#<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 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 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 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 (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (* -1 (/ z x))>
#<alt (+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))>
#<alt (+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))>
#<alt (+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))>
#<alt (/ z y)>
#<alt (/ (+ z (/ (* x z) y)) y)>
#<alt (/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)>
#<alt (/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)>
#<alt (/ z y)>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))>
#<alt (/ z y)>
#<alt (+ (/ z y) (/ (* x z) (pow y 2)))>
#<alt (+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))>
#<alt (+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))>
#<alt (* -1 (/ z x))>
#<alt (/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)>
#<alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)>
#<alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)>
#<alt (* -1 (/ z x))>
#<alt (* -1 (/ (+ z (/ (* y z) x)) x))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))>
#<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)>
#<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)>

Calls

69 calls:

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

rewrite452.0ms (7.5%)

Memory

-40.7MiB live, 258.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 270×	`lower-fma.f64`
5 270×	`lower-fma.f32`
4 892×	`lower-/.f32`
4 882×	`lower-/.f64`
4 220×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
0	22	41
1	102	41
2	957	41
0	8272	41

Stop Event

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

Counts

9 → 820

Calls

Call 1

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

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

simplify375.0ms (6.2%)

Memory

38.0MiB live, 309.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 588×	`lower-fma.f64`
9 588×	`lower-fma.f32`
4 298×	`lower-*.f64`
4 298×	`lower-*.f32`
1 770×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1640
1	594	1476
2	1696	1431
3	5975	1413
0	8758	1381

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 264

Calls

Call 1

Inputs
(/ (- 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 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 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 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))))
(/ 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))
(* -1 (/ z x))
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(/ z y)
(/ (+ z (/ (* x z) y)) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(/ z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(* -1 (/ z x))
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(* -1 (/ z x))
(* -1 (/ (+ z (/ (* y z) x)) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(* -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)
(* -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)

Outputs
(/ (- 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 z))
(/.f64 x (neg.f64 z))
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 x (neg.f64 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)
(+ (* 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 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 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))
(- 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))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(* -1 (/ z x))
(/.f64 z (neg.f64 x))
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(neg.f64 (/.f64 (fma.f64 y (/.f64 z x) z) x))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 z x) (fma.f64 y (/.f64 y x) y) z)) x)
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(-.f64 (.f64 y (-.f64 (/.f64 (.f64 y (.f64 y (neg.f64 z))) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (*.f64 x x))))) (/.f64 z x))
(/ z y)
(/.f64 z y)
(/ (+ z (/ (* x z) y)) y)
(/.f64 (fma.f64 x (/.f64 z y) z) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 z y) z) y) z) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(/.f64 (fma.f64 (.f64 x x) (.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 x (/.f64 z y) z)) y)
(/ z y)
(/.f64 z y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))
(/.f64 (fma.f64 x (/.f64 z y) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 z y) z) y) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(/.f64 (+.f64 z (/.f64 (fma.f64 x z (/.f64 (.f64 (.f64 x x) (fma.f64 x (/.f64 z y) z)) y)) y)) y)
(/ z y)
(/.f64 z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(/.f64 (fma.f64 x (/.f64 z y) z) y)
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 z y) z) y) z) y)
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(fma.f64 x (fma.f64 x (/.f64 (.f64 x z) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) (/.f64 z y))
(* -1 (/ z x))
(/.f64 z (neg.f64 x))
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(neg.f64 (/.f64 (fma.f64 y (/.f64 z x) z) x))
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/.f64 (neg.f64 (fma.f64 (/.f64 z x) (fma.f64 y (/.f64 y x) y) z)) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(/.f64 (-.f64 (neg.f64 z) (/.f64 (fma.f64 y z (/.f64 (.f64 y (.f64 y (fma.f64 y (/.f64 z x) z))) x)) x)) x)
(* -1 (/ z x))
(/.f64 z (neg.f64 x))
(* -1 (/ (+ z (/ (* y z) x)) x))
(neg.f64 (/.f64 (fma.f64 y (/.f64 z x) z) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 z x) (fma.f64 y (/.f64 y x) y) z)) x)
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(/.f64 (-.f64 (neg.f64 z) (/.f64 (fma.f64 y z (/.f64 (.f64 y (.f64 y (fma.f64 y (/.f64 z x) z))) x)) x)) x)
(* -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 (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 (- 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)
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 x (neg.f64 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)

eval183.0ms (3%)

Memory: -6.8MiB live, 300.8MiB allocated
Compiler: Compiled 19 907 to 2 009 computations (89.9% saved)

prune129.0ms (2.1%)

Memory

-8.2MiB live, 353.7MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 199	4	1 203
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 201	8	1 209

Accuracy

100.0%

Counts

1 209 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.9%	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) x)
✓	66.3%	(/.f64 (-.f64 y x) z)
▶	32.8%	(/.f64 (neg.f64 x) z)
✓	38.5%	(/.f64 y z)
▶	66.2%	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
✓	65.9%	(-.f64 x (/.f64 x z))
▶	65.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
✓	71.9%	(+.f64 x (/.f64 y z))

Compiler

Compiled 67 to 45 computations (32.8% saved)

simplify53.0ms (0.9%)

Memory

1.5MiB live, 79.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	320	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) x)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 (neg.f64 x) z)
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 z (-.f64 y x))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z x))

Rules

480×	`lower-fma.f32`
478×	`lower-fma.f64`
320×	`lower-*.f64`
320×	`lower-*.f32`
240×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	60
0	25	60
1	43	58
2	85	52
3	161	52
4	244	52
5	376	52
6	512	52
7	705	52
8	1045	52
9	1180	52
10	1241	52
11	1255	52
12	1258	52
13	1259	52
0	1259	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (1%)

Memory

12.0MiB live, 148.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) x)
✓	accuracy	100.0%	(/.f64 (neg.f64 x) z)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(/.f64 z (-.f64 y x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 z x))

Samples

44.0ms

256×

valid

Compiler

Compiled 63 to 17 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 21.0ms (71.2% of total)

ival-add: 3.0ms (10.2% of total)

ival-sub: 2.0ms (6.8% of total)

ival-mult: 2.0ms (6.8% of total)

ival-neg: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-21.8MiB live, 16.7MiB allocated

Counts

10 → 240

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 z x))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (/.f64 z x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))>
#<alt (/.f64 z (-.f64 y x))>
#<alt (-.f64 y x)>
#<alt (/.f64 (neg.f64 x) z)>
#<alt (neg.f64 x)>
#<alt (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) x)>
#<alt (/.f64 #s(literal 1 binary64) z)>

Outputs
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (* x (- 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 (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<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 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 (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (/ z (- y x))>
#<alt (* -1 (/ z x))>
#<alt (+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))>
#<alt (+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))>
#<alt (+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))>
#<alt (/ z y)>
#<alt (/ (+ z (/ (* x z) y)) y)>
#<alt (/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)>
#<alt (/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)>
#<alt (/ z y)>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))>
#<alt (/ z y)>
#<alt (+ (/ z y) (/ (* x z) (pow y 2)))>
#<alt (+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))>
#<alt (+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))>
#<alt (* -1 (/ z x))>
#<alt (/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)>
#<alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)>
#<alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)>
#<alt (* -1 (/ z x))>
#<alt (* -1 (/ (+ z (/ (* y z) x)) x))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))>
#<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 (* -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 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<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 (/ (+ (* -1 x) (* x z)) z)>
#<alt (/ (+ (* -1 x) (* x z)) z)>
#<alt (/ (+ (* -1 x) (* x z)) 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 (/ 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

60 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- x (/ 1 (/ z x)))
0.0ms	x	@	0	(/ z x)
0.0ms	z	@	0	(/ z x)
0.0ms	z	@	-inf	(/ z x)
0.0ms	x	@	-inf	(/ z x)

rewrite293.0ms (4.9%)

Memory

7.9MiB live, 762.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 074×	`lower-fma.f32`
7 072×	`lower-fma.f64`
4 632×	`lower-*.f64`
4 632×	`lower-*.f32`
3 432×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	25	46
1	109	38
2	849	38
0	8526	38

Stop Event

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

Counts

10 → 795

Calls

Call 1

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

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

simplify520.0ms (8.6%)

Memory

1.4MiB live, 600.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 162×	`lower-fma.f64`
8 162×	`lower-fma.f32`
4 562×	`lower-*.f64`
4 562×	`lower-*.f32`
1 694×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	1292
1	512	1188
2	1483	1143
3	5360	1131
0	8522	1102

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 233

Calls

Call 1

Inputs
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* x (- 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)))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (- y 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 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))))
(/ 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))
(* -1 (/ z x))
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(/ z y)
(/ (+ z (/ (* x z) y)) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(/ z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(* -1 (/ z x))
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(* -1 (/ z x))
(* -1 (/ (+ z (/ (* y z) x)) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(* -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)))))
(* -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 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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))
(/ (+ (* -1 x) (* x z)) z)
(/ (+ (* -1 x) (* x z)) z)
(/ (+ (* -1 x) (* x z)) 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)))
(/ 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 z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* x (- 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))
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ (- 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 z))
(/.f64 x (neg.f64 z))
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 x (neg.f64 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)
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(/ z (- y x))
(/.f64 z (-.f64 y x))
(* -1 (/ z x))
(/.f64 z (neg.f64 x))
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(/.f64 (neg.f64 (fma.f64 z (/.f64 y x) z)) x)
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 z x) (fma.f64 y (/.f64 y x) y) z)) x)
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(-.f64 (.f64 y (-.f64 (/.f64 (neg.f64 (.f64 z (.f64 y y))) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (*.f64 x x))))) (/.f64 z x))
(/ z y)
(/.f64 z y)
(/ (+ z (/ (* x z) y)) y)
(/.f64 (fma.f64 x (/.f64 z y) z) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 z y) z) y) z) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(/.f64 (fma.f64 (.f64 x x) (.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 x (/.f64 z y) z)) y)
(/ z y)
(/.f64 z y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))
(/.f64 (fma.f64 x (/.f64 z y) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 z y) z) y) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(/.f64 (+.f64 z (/.f64 (fma.f64 x z (/.f64 (.f64 x (.f64 x (fma.f64 x (/.f64 z y) z))) y)) y)) y)
(/ z y)
(/.f64 z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(/.f64 (fma.f64 x (/.f64 z y) z) y)
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 z y) z) y) z) y)
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(fma.f64 x (fma.f64 x (/.f64 (.f64 x z) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) (/.f64 z y))
(* -1 (/ z x))
(/.f64 z (neg.f64 x))
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(/.f64 (neg.f64 (fma.f64 z (/.f64 y x) z)) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/.f64 (neg.f64 (fma.f64 (/.f64 z x) (fma.f64 y (/.f64 y x) y) z)) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(/.f64 (+.f64 z (/.f64 (fma.f64 z y (/.f64 (.f64 (.f64 y y) (fma.f64 z (/.f64 y x) z)) x)) x)) (neg.f64 x))
(* -1 (/ z x))
(/.f64 z (neg.f64 x))
(* -1 (/ (+ z (/ (* y z) x)) x))
(/.f64 (neg.f64 (fma.f64 z (/.f64 y x) z)) x)
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 z x) (fma.f64 y (/.f64 y x) y) z)) x)
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(/.f64 (+.f64 z (/.f64 (fma.f64 z y (/.f64 (.f64 (.f64 y y) (fma.f64 z (/.f64 y x) z)) x)) x)) (neg.f64 x))
(* -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)
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 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))
(/ (+ (* -1 x) (* x z)) z)
(-.f64 x (/.f64 x z))
(/ (+ (* -1 x) (* x z)) z)
(-.f64 x (/.f64 x z))
(/ (+ (* -1 x) (* x z)) 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))
(/ 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)

eval127.0ms (2.1%)

Memory: 27.7MiB live, 376.0MiB allocated
Compiler: Compiled 19 597 to 1 773 computations (91% saved)

prune103.0ms (1.7%)

Memory

-25.8MiB live, 339.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 064	1	1 065
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	1 065	8	1 073

Accuracy

100.0%

Counts

1 073 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.9%	(fma.f64 (/.f64 #s(literal -1 binary64) z) x x)
✓	66.3%	(/.f64 (-.f64 y x) z)
✓	32.8%	(/.f64 (neg.f64 x) z)
✓	38.5%	(/.f64 y z)
✓	66.2%	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
✓	65.9%	(-.f64 x (/.f64 x z))
✓	65.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
✓	71.9%	(+.f64 x (/.f64 y z))

Compiler

Compiled 66 to 44 computations (33.3% saved)

simplify18.0ms (0.3%)

Memory

5.7MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 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) x x)

Rules

192×	`lower-fma.f32`
190×	`lower-fma.f64`
128×	`lower-*.f64`
128×	`lower-*.f32`
64×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	15	12
2	24	12
3	33	11
4	42	11
5	76	11
6	119	11
7	196	11
8	254	11
9	340	11
10	424	11
11	438	11
0	438	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

13.8MiB live, 54.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) z)
✓	accuracy	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) z) x x)

Samples

15.0ms

256×

valid

Compiler

Compiled 15 to 9 computations (40% saved)

Precisions

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

ival-mult: 3.0ms (48% of total)

ival-div: 2.0ms (32% of total)

ival-add: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)>
#<alt (/.f64 #s(literal -1 binary64) z)>

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

9 calls:

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

rewrite263.0ms (4.4%)

Memory

-33.7MiB live, 490.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 518×	`lower-fma.f32`
6 516×	`lower-fma.f64`
2 814×	`lower-*.f64`
2 814×	`lower-*.f32`
2 596×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	35	9
2	228	9
3	2656	8
0	9457	8

Stop Event

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

Counts

2 → 192

Calls

Call 1

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

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

simplify475.0ms (7.9%)

Memory

14.9MiB live, 402.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 096×	`lower-fma.f64`
15 096×	`lower-fma.f32`
2 532×	`lower-*.f64`
2 532×	`lower-*.f32`
2 016×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	210
1	37	189
2	79	189
3	151	189
4	318	147
5	735	147
6	1515	147
7	2976	147
8	4103	147
9	4559	147
10	4715	147
11	4745	147
12	4777	147
13	5533	147
14	6121	147
15	6239	147
16	6315	147
17	6339	147
18	6351	147
19	6657	147
20	7408	147
21	7652	147
22	7652	147
0	8450	147

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

eval29.0ms (0.5%)

Memory: 17.3MiB live, 70.6MiB allocated
Compiler: Compiled 6 216 to 452 computations (92.7% saved)

prune32.0ms (0.5%)

Memory

-3.7MiB live, 113.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	226	8	234

Accuracy

100.0%

Counts

234 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.9%	(fma.f64 (/.f64 #s(literal -1 binary64) z) x x)
✓	66.3%	(/.f64 (-.f64 y x) z)
✓	32.8%	(/.f64 (neg.f64 x) z)
✓	38.5%	(/.f64 y z)
✓	66.2%	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
✓	65.9%	(-.f64 x (/.f64 x z))
✓	65.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
✓	71.9%	(+.f64 x (/.f64 y z))

Compiler

Compiled 142 to 69 computations (51.4% saved)

regimes18.0ms (0.3%)

Memory

-1.8MiB live, 42.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
4.0ms	z
4.0ms	y
4.0ms	x

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

-12.0MiB live, 27.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

Results

Accuracy	Segments	Branch
91.0%	3	`x`
87.7%	3	`y`
98.9%	3	`z`
88.8%	4	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(/.f64 y z)
(/.f64 (neg.f64 x) 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
91.0%	3	`x`
81.7%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-23.2MiB live, 16.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.7%	3	`z`
78.2%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
75.7%	3	`y`
74.2%	2	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.2%	3	`y`
57.9%	3	`x`
46.9%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
48.8%	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 y z)

Outputs
(/.f64 y z)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.5%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
38.5%	1	`z`
38.5%	1	`y`
38.5%	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch24.0ms (0.4%)

Memory

-6.4MiB live, 32.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.003706976071958324	357349.13316821674
11.0ms	-14.305543161039607	-2.5655012073279775e-5

Samples

12.0ms

288×

valid

Compiler

Compiled 337 to 228 computations (32.3% saved)

Precisions

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

ival-div: 3.0ms (50.2% of total)

ival-sub: 2.0ms (33.5% of total)

ival-add: 1.0ms (16.7% of total)

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

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

bsearch21.0ms (0.4%)

Memory

-13.2MiB live, 26.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.1181716758452317e+24	4.885193373554693e+24
14.0ms	-49964.599119696715	-2.4406207612819897e-8

Samples

9.0ms

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 (47.2% of total)

ival-sub: 1.0ms (23.6% of total)

ival-add: 1.0ms (23.6% of total)

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

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

bsearch20.0ms (0.3%)

Memory

-10.3MiB live, 28.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.6207564443901836e-268	2.165355478802959e-267
11.0ms	-1.0765826517596037e-22	-8.501897069994808e-28

Samples

10.0ms

240×

valid

Compiler

Compiled 268 to 192 computations (28.4% saved)

Precisions

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

ival-div: 2.0ms (47% of total)

ival-sub: 1.0ms (23.5% of total)

ival-add: 1.0ms (23.5% of total)

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

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

bsearch23.0ms (0.4%)

Memory

31.1MiB live, 31.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.885193373554693e+24	1.302682905461604e+34
11.0ms	-7.069803474149325e-10	-2.3363622588230752e-17

Samples

11.0ms

288×

valid

Compiler

Compiled 283 to 210 computations (25.8% saved)

Precisions

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

ival-sub: 2.0ms (40.1% of total)

ival-div: 2.0ms (40.1% of total)

ival-add: 1.0ms (20.1% of total)

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

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

simplify9.0ms (0.2%)

Memory

-26.2MiB live, 12.3MiB 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	36	97
1	47	97
2	55	97
3	60	97
4	63	97
5	64	97

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 1 binary64)) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 x #s(literal -44000 binary64)) (-.f64 x (/.f64 x z)) (if (<=.f64 x #s(literal 3299999999999999890948096 binary64)) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z))))
(if (<=.f64 z #s(literal -4125923698916379/42535295865117307932921825928971026432 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 2439637115471363/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472 binary64)) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 x #s(literal -2574915281713591/39614081257132168796771975168 binary64)) (/.f64 (neg.f64 x) z) (if (<=.f64 x #s(literal 55000000000000000249229435994112 binary64)) (/.f64 y z) (/.f64 (neg.f64 x) z)))
(/.f64 y z)

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 1 binary64)) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 x #s(literal -44000 binary64)) (-.f64 x (/.f64 x z)) (if (<=.f64 x #s(literal 3299999999999999890948096 binary64)) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z))))
(if (<=.f64 z #s(literal -4125923698916379/42535295865117307932921825928971026432 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 2439637115471363/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472 binary64)) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -4125923698916379/42535295865117307932921825928971026432 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 2439637115471363/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472 binary64)) (/.f64 x (neg.f64 z)) (+.f64 x (/.f64 y z))))
(if (<=.f64 x #s(literal -2574915281713591/39614081257132168796771975168 binary64)) (/.f64 (neg.f64 x) z) (if (<=.f64 x #s(literal 55000000000000000249229435994112 binary64)) (/.f64 y z) (/.f64 (neg.f64 x) z)))
(if (<=.f64 x #s(literal -2574915281713591/39614081257132168796771975168 binary64)) (/.f64 x (neg.f64 z)) (if (<=.f64 x #s(literal 55000000000000000249229435994112 binary64)) (/.f64 y z) (/.f64 x (neg.f64 z))))
(/.f64 y z)

soundness765.0ms (12.7%)

Memory

18.1MiB live, 251.0MiB allocated

Rules

9 588×	`lower-fma.f64`
9 588×	`lower-fma.f32`
6 368×	`lower-fma.f64`
6 368×	`lower-fma.f32`
4 298×	`lower-*.f64`

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	206	1640
1	594	1476
2	1696	1431
3	5975	1413
0	8758	1381

Stop Event

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

Compiler

Compiled 182 to 89 computations (51.1% saved)

preprocess37.0ms (0.6%)

Memory: -6.3MiB live, 70.1MiB allocated
Compiler: Compiled 220 to 84 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	12
0	8	12
1	15	12
2	24	12
3	33	11
4	42	11
5	76	11
6	119	11
7	196	11
8	254	11
9	340	11
10	424	11
11	438	11
0	438	11

Iter	Nodes	Cost
0	5	12
0	8	12
1	15	12
2	24	12
3	33	11
4	42	11
5	76	11
6	119	11
7	196	11
8	254	11
9	340	11
10	424	11
11	438	11
0	438	11

analyze63.0ms (1%)

sample637.0ms (10.6%)

preprocess123.0ms (2%)

explain80.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify41.0ms (0.7%)

localize23.0ms (0.4%)

series8.0ms (0.1%)

rewrite295.0ms (4.9%)

simplify299.0ms (5%)

eval87.0ms (1.5%)

prune77.0ms (1.3%)

simplify90.0ms (1.5%)

localize93.0ms (1.5%)

series11.0ms (0.2%)

rewrite452.0ms (7.5%)

simplify375.0ms (6.2%)

eval183.0ms (3%)

prune129.0ms (2.1%)

simplify53.0ms (0.9%)

localize62.0ms (1%)

series7.0ms (0.1%)

rewrite293.0ms (4.9%)

simplify520.0ms (8.6%)

eval127.0ms (2.1%)

prune103.0ms (1.7%)

simplify18.0ms (0.3%)

localize21.0ms (0.3%)

series1.0ms (0%)

rewrite263.0ms (4.4%)

simplify475.0ms (7.9%)

eval29.0ms (0.5%)

prune32.0ms (0.5%)

regimes18.0ms (0.3%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch24.0ms (0.4%)

bsearch21.0ms (0.4%)

bsearch20.0ms (0.3%)

bsearch23.0ms (0.4%)

simplify9.0ms (0.2%)

soundness765.0ms (12.7%)

preprocess37.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	12
0	8	12
1	15	12
2	24	12
3	33	11
4	42	11
5	76	11
6	119	11
7	196	11
8	254	11
9	340	11
10	424	11
11	438	11
0	438	11