Metrics for Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, A

analyze54.0ms (0.6%)

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
50%	49.9%	49.9%	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
75%	74.9%	25%	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
87.5%	87.4%	12.5%	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
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 9.0ms (39.9% of total)

ival-add: 5.0ms (22.2% of total)

ival-div: 4.0ms (17.7% of total)

ival-sub: 3.0ms (13.3% of total)

const: 1.0ms (4.4% of total)

backward-pass: 0.0ms (0% of total)

sample1.1s (12.1%)

Results

766.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 513.0ms

ival-div: 151.0ms (29.4% of total)

ival-add: 138.0ms (26.9% of total)

ival-mult: 131.0ms (25.5% of total)

ival-sub: 74.0ms (14.4% of total)

const: 17.0ms (3.3% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess228.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

2180×	`sum4-define`
2126×	`sum3-define`
2108×	`sum5-define`
2066×	`sum3-define`
1876×	`sum5-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	50	143
1	134	115
2	460	110
3	1469	110
4	5168	110
0	12	13
1	24	11
2	61	11
3	123	11
4	275	11
5	747	8
6	2947	8
7	5188	8
0	8121	8

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(fma (+ x (fmsub y 3/4 z)) (/ 4 y) 1)
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))
(fmsub 4 (/ (- (fmsub y 3/4 z) x) y) -1)
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))
(fnmsub (+ z (fmsub y 3/4 x)) (/ -4 y) -1)
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))
(fmsub (+ x (fma y 3/4 z)) (/ 4 y) -1)
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)))
(fnmsub 4 (/ (- (fmsub y 3/4 z) x) y) 1)
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))))
(fnmsub (+ z (fmsub y 3/4 x)) (/ 4 y) 1)
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)))
(fnmsub (+ x (fma y 3/4 z)) (/ 4 y) 1)
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x))
(fma 4 (/ (+ y (fmsub x 3/4 z)) x) 1)
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y))
(fnmsub (+ z (fmsub y 3/4 x)) (/ -4 y) -1)
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z))
(fma 4 (/ (+ x (fmsub 3/4 z y)) z) 1)

explain406.0ms (4.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`
0	-	-	`x`
0	-	-	`(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)`
0	-	-	`(+.f64 x (*.f64 y #s(literal 3/4 binary64)))`
0	-	-	`y`
0	-	-	`#s(literal 3/4 binary64)`
0	-	-	`(*.f64 y #s(literal 3/4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z))`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`

Results

160.0ms	466×	0	valid
6.0ms	20×	2	valid
6.0ms	14×	3	valid
2.0ms	10×	1	valid
1.0ms	2×	4	valid

Compiler

Compiled 132 to 38 computations (71.2% saved)

Precisions

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

ival-mult: 76.0ms (74.5% of total)

ival-div: 13.0ms (12.7% of total)

ival-add: 6.0ms (5.9% of total)

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

backward-pass: 2.0ms (2% of total)

const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 x z)
✓	cost-diff	(*.f64 #s(literal 4 binary64) (-.f64 x z))
✓	cost-diff	(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
✓	cost-diff	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))

Rules

2042×	`fnmadd-define`
1778×	`fmsub-define`
1684×	`fnmsub-define`
1584×	`fma-define`
1448×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	14	27
2	32	27
3	62	27
4	126	27
5	304	27
6	893	27
7	1517	27
8	2894	27
9	5248	27
0	8002	27

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ 4 (/ (* 4 (- x z)) y))
4
(/ (* 4 (- x z)) y)
(* 4 (- x z))
(- x z)
x
z
y

Outputs
(+ 4 (/ (* 4 (- x z)) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
4
#s(literal 4 binary64)
(/ (* 4 (- x z)) y)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (- x z))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(- x z)
(-.f64 x z)
x
z
y

localize34.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (-.f64 x z))
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
✓	accuracy	99.3%	(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)

Results

26.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

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

ival-div: 6.0ms (52.7% of total)

ival-sub: 2.0ms (17.6% of total)

ival-mult: 2.0ms (17.6% of total)

ival-add: 1.0ms (8.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts

4 → 120

Calls

Call 1

Inputs
#<alt (+ 4 (/ (* 4 (- x z)) y))>
#<alt (/ (* 4 (- x z)) y)>
#<alt (* 4 (- x z))>
#<alt (- x z)>

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

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (* 4 (- x z)) y)
1.0ms	y	@	inf	(+ 4 (/ (* 4 (- x z)) y))
1.0ms	x	@	inf	(+ 4 (/ (* 4 (- x z)) y))
1.0ms	z	@	0	(+ 4 (/ (* 4 (- x z)) y))
1.0ms	x	@	0	(+ 4 (/ (* 4 (- x z)) y))

rewrite320.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3596×	`-lowering-.f32`
3596×	`-lowering-.f64`
2848×	`/-lowering-/.f32`
2848×	`/-lowering-/.f64`
1978×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	49	23
2	428	23
3	6966	23
0	8793	23

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 244

Calls

Call 1

Inputs
(+ 4 (/ (* 4 (- x z)) y))
(/ (* 4 (- x z)) y)
(* 4 (- x z))
(- x z)

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

simplify226.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2444×	`-lowering-.f32`
2444×	`-lowering-.f64`
1948×	`fnmadd-define`
1734×	`sum5-define`
1026×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	802
1	309	797
2	952	689
3	3075	689
4	7409	689
0	8276	689

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal -4 binary64) z) y)) x)))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal -4 binary64) z) y)) x)))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal -4 binary64) z) y)) x)))
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 y z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 y z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 y z))) y)
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)

eval56.0ms (0.6%)

Compiler: Compiled 8384 to 985 computations (88.3% saved)

prune115.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	356	8	364
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	357	8	365

Accuracy

100.0%

Counts

365 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.9%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
	30.9%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
▶	70.3%	(+.f64 #s(literal 4 binary64) (/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 #s(literal 4 binary64) (+.f64 x z))) y))
	71.2%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
▶	61.3%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
▶	99.8%	(+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
	68.5%	(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
▶	31.9%	#s(literal 4 binary64)

Compiler

Compiled 164 to 116 computations (29.3% saved)

simplify209.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 x x) (.f64 z z))
✓	cost-diff	512	(.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 #s(literal 4 binary64) (+.f64 x z)))
✓	cost-diff	512	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 #s(literal 4 binary64) (+.f64 x z))) y)
✓	cost-diff	512	(+.f64 #s(literal 4 binary64) (/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 #s(literal 4 binary64) (+.f64 x z))) y))
✓	cost-diff	0	(*.f64 #s(literal -4 binary64) z)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	cost-diff	0	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	cost-diff	0	(+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))

Rules

2916×	`-lowering-.f32`
2916×	`-lowering-.f64`
1268×	`+-lowering-+.f64`
1268×	`+-lowering-+.f32`
1182×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	109
1	49	106
2	109	106
3	376	106
4	1354	99
5	4958	99
0	8146	99

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ 4 (* (/ 4 y) (- x z)))
4
(* (/ 4 y) (- x z))
(/ 4 y)
y
(- x z)
x
z
4
(/ (* 4 x) y)
(* 4 x)
4
x
y
(+ 4 (/ (* -4 z) y))
4
(/ (* -4 z) y)
(* -4 z)
-4
z
y
(+ 4 (/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y))
4
(/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y)
(* (- (* x x) (* z z)) (/ 4 (+ x z)))
(- (* x x) (* z z))
(* x x)
x
(* z z)
z
(/ 4 (+ x z))
(+ x z)
y

Outputs
(+ 4 (* (/ 4 y) (- x z)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
4
#s(literal 4 binary64)
(* (/ 4 y) (- x z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
y
(- x z)
(-.f64 x z)
x
z
4
#s(literal 4 binary64)
(/ (* 4 x) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
x
y
(+ 4 (/ (* -4 z) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
4
#s(literal 4 binary64)
(/ (* -4 z) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
-4
#s(literal -4 binary64)
z
y
(+ 4 (/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
4
#s(literal 4 binary64)
(/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* (- (* x x) (* z z)) (/ 4 (+ x z)))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(- (* x x) (* z z))
(-.f64 (.f64 x x) (.f64 z z))
(* x x)
(*.f64 x x)
x
(* z z)
(*.f64 z z)
z
(/ 4 (+ x z))
(/.f64 #s(literal 4 binary64) (+.f64 x z))
(+ x z)
(+.f64 x z)
y

localize327.0ms (3.5%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) (+.f64 x z))
✓	accuracy	99.3%	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 #s(literal 4 binary64) (+.f64 x z))) y)
✓	accuracy	95.3%	(-.f64 (.f64 x x) (.f64 z z))
✓	accuracy	52.0%	(.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 #s(literal 4 binary64) (+.f64 x z)))
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) z)
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) x)
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))

Results

246.0ms

256×

valid

Compiler

Compiled 131 to 23 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 76.0ms (80.7% of total)

ival-div: 9.0ms (9.6% of total)

ival-add: 5.0ms (5.3% of total)

ival-sub: 3.0ms (3.2% of total)

const: 1.0ms (1.1% of total)

backward-pass: 0.0ms (0% of total)

series286.0ms (3%)

Counts

14 → 348

Calls

Call 1

Inputs
#<alt (+ 4 (* (/ 4 y) (- x z)))>
#<alt (* (/ 4 y) (- x z))>
#<alt (/ 4 y)>
#<alt (- x z)>
#<alt (/ (* 4 x) y)>
#<alt (* 4 x)>
#<alt (+ 4 (/ (* -4 z) y))>
#<alt (/ (* -4 z) y)>
#<alt (* -4 z)>
#<alt (+ 4 (/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y))>
#<alt (/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y)>
#<alt (* (- (* x x) (* z z)) (/ 4 (+ x z)))>
#<alt (- (* x x) (* z z))>
#<alt (/ 4 (+ x z))>

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

Calls

87 calls:

Time	Variable		Point	Expression
261.0ms	y	@	0	(+ 4 (/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y))
3.0ms	z	@	inf	(+ 4 (/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y))
2.0ms	x	@	0	(/ (* 4 x) y)
1.0ms	x	@	0	(+ 4 (/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y))
1.0ms	x	@	inf	(+ 4 (/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y))

rewrite519.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4664×	`/-lowering-/.f32`
4664×	`/-lowering-/.f64`
3740×	`-lowering-.f32`
3740×	`-lowering-.f64`
1458×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	84
1	144	74
2	1421	74
0	8364	74

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 916

Calls

Call 1

Inputs
(+ 4 (* (/ 4 y) (- x z)))
(* (/ 4 y) (- x z))
(/ 4 y)
(- x z)
(/ (* 4 x) y)
(* 4 x)
(+ 4 (/ (* -4 z) y))
(/ (* -4 z) y)
(* -4 z)
(+ 4 (/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y))
(/ (* (- (* x x) (* z z)) (/ 4 (+ x z))) y)
(* (- (* x x) (* z z)) (/ 4 (+ x z)))
(- (* x x) (* z z))
(/ 4 (+ x z))

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

simplify317.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4946×	`-lowering-.f32`
4946×	`-lowering-.f64`
1996×	`/-lowering-/.f32`
1996×	`/-lowering-/.f64`
1536×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	2868
1	799	2744
2	2346	2643
3	7790	2643
0	8276	2643

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

Outputs
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 y z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 y z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 y z))) y)
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(.f64 x (+.f64 (/.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) x) (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 4 binary64) y))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(.f64 x (+.f64 (/.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) x) (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 4 binary64) y))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(.f64 x (+.f64 (/.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) x) (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 4 binary64) y))))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 z (/.f64 #s(literal -4 binary64) y))) x)))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 z (/.f64 #s(literal -4 binary64) y))) x)))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 z (/.f64 #s(literal -4 binary64) y))) x)))
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 x y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(.f64 z (+.f64 (/.f64 #s(literal 4 binary64) z) (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z)))))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(.f64 z (+.f64 (/.f64 #s(literal 4 binary64) z) (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z)))))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
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(+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z))))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z)))))
(+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z))))
(+ 4 (* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z)))))
(+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z))))
(+ 4 (* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z)))))
(+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z))))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 z x))) (-.f64 #s(literal 0 binary64) x))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 z x))) (-.f64 #s(literal 0 binary64) x))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 z x))) (-.f64 #s(literal 0 binary64) x))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 z x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 z x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 z x))) (-.f64 #s(literal 0 binary64) x))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(.f64 z (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(.f64 z (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(.f64 z (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(.f64 z (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(.f64 z (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(.f64 z (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* 4 (/ (- (pow x 2) (pow z 2)) (* y (+ x z))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (.f64 z z))) (.f64 y (+.f64 x z)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ z x))))
(.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (.f64 z #s(literal -4 binary64)) x)))
(* x (+ 4 (* -4 (/ z x))))
(.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (.f64 z #s(literal -4 binary64)) x)))
(* x (+ 4 (* -4 (/ z x))))
(.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (.f64 z #s(literal -4 binary64)) x)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ z x)) 4)))
(.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (.f64 z #s(literal -4 binary64)) x)))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (.f64 z #s(literal -4 binary64)) x)))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (.f64 z #s(literal -4 binary64)) x)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* z (- (* 4 (/ x z)) 4))
(.f64 z (+.f64 #s(literal -4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x z))))
(* z (- (* 4 (/ x z)) 4))
(.f64 z (+.f64 #s(literal -4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x z))))
(* z (- (* 4 (/ x z)) 4))
(.f64 z (+.f64 #s(literal -4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x z))))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(.f64 z (+.f64 #s(literal -4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x z))))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(.f64 z (+.f64 #s(literal -4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x z))))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(.f64 z (+.f64 #s(literal -4 binary64) (.f64 #s(literal 4 binary64) (/.f64 x z))))
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(- (pow x 2) (pow z 2))
(-.f64 (.f64 x x) (.f64 z z))
(- (pow x 2) (pow z 2))
(-.f64 (.f64 x x) (.f64 z z))
(- (pow x 2) (pow z 2))
(-.f64 (.f64 x x) (.f64 z z))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 x x))))
(pow x 2)
(*.f64 x x)
(+ (* -1 (pow z 2)) (pow x 2))
(-.f64 (.f64 x x) (.f64 z z))
(+ (* -1 (pow z 2)) (pow x 2))
(-.f64 (.f64 x x) (.f64 z z))
(+ (* -1 (pow z 2)) (pow x 2))
(-.f64 (.f64 x x) (.f64 z z))
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 z z))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 z z))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 z z))))
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 z z))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 z z))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 z z))))
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(+ (* -4 (/ x (pow z 2))) (* 4 (/ 1 z)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal -4 binary64) z))) z)
(+ (* x (- (* 4 (/ x (pow z 3))) (* 4 (/ 1 (pow z 2))))) (* 4 (/ 1 z)))
(+.f64 (/.f64 #s(literal 4 binary64) z) (.f64 x (.f64 (/.f64 #s(literal 4 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+ (* x (- (* x (+ (* -4 (/ x (pow z 4))) (* 4 (/ 1 (pow z 3))))) (* 4 (/ 1 (pow z 2))))) (* 4 (/ 1 z)))
(+.f64 (/.f64 #s(literal 4 binary64) z) (.f64 x (+.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 x z))) (/.f64 (.f64 x (*.f64 x #s(literal -4 binary64))) (pow.f64 z #s(literal 4 binary64))))))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* -4 (/ z x))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) x)) x)
(/ (- (+ 4 (* 4 (/ (pow z 2) (pow x 2)))) (* 4 (/ z x))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 4 binary64) x) (.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z x))))) x)
(/ (- (+ 4 (* -4 (/ (pow z 3) (pow x 3)))) (+ (* -4 (/ (pow z 2) (pow x 2))) (* 4 (/ z x)))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (.f64 z (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z x)))) x) z)) x))) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(* -1 (/ (- (* 4 (/ z x)) 4) x))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 2) x)) (* 4 z)) x)) 4) x))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z x)))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 3) x)) (* 4 (pow z 2))) x)) (* 4 z)) x)) 4) x))
(/.f64 (+.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (.f64 z (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z x)))) x) z)) x))) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(+ (* -4 (/ z (pow x 2))) (* 4 (/ 1 x)))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) x)) x)
(+ (* z (- (* 4 (/ z (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) (.f64 z (.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+ (* z (- (* z (+ (* -4 (/ z (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) (.f64 z (+.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 z x))) (.f64 #s(literal -4 binary64) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64))))))))
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ (+ 4 (* -4 (/ x z))) z)
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal -4 binary64) z))) z)
(/ (- (+ 4 (* 4 (/ (pow x 2) (pow z 2)))) (* 4 (/ x z))) z)
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 4 binary64) z) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x z))))) z)
(/ (- (+ 4 (* -4 (/ (pow x 3) (pow z 3)))) (+ (* -4 (/ (pow x 2) (pow z 2))) (* 4 (/ x z)))) z)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 x #s(literal -4 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) z)) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(* -1 (/ (- (* 4 (/ x z)) 4) z))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal -4 binary64) z))) z)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 2) z)) (* 4 x)) z)) 4) z))
(/.f64 (-.f64 #s(literal -4 binary64) (.f64 (/.f64 #s(literal 4 binary64) z) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x z))))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 3) z)) (* 4 (pow x 2))) z)) (* 4 x)) z)) 4) z))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 x #s(literal -4 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) z)) z)

eval195.0ms (2.1%)

Compiler: Compiled 30423 to 2827 computations (90.7% saved)

prune327.0ms (3.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1260	4	1264
Fresh	1	2	3
Picked	1	4	5
Done	0	0	0
Total	1262	10	1272

Accuracy

100.0%

Counts

1272 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.7%	(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
✓	40.9%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
▶	30.9%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
	54.3%	(+.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (+.f64 x z))) y))
▶	71.2%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
✓	61.3%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	99.8%	(+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
▶	31.2%	(*.f64 z (/.f64 #s(literal -4 binary64) y))
▶	41.2%	(*.f64 x (/.f64 #s(literal 4 binary64) y))
✓	31.9%	#s(literal 4 binary64)

Compiler

Compiled 154 to 110 computations (28.6% saved)

simplify139.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 x z)
✓	cost-diff	(*.f64 #s(literal 4 binary64) (-.f64 x z))
✓	cost-diff	(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
✓	cost-diff	(*.f64 #s(literal -4 binary64) z)
✓	cost-diff	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	cost-diff	(/.f64 #s(literal -4 binary64) y)
✓	cost-diff	(*.f64 z (/.f64 #s(literal -4 binary64) y))
✓	cost-diff	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	(*.f64 x (/.f64 #s(literal 4 binary64) y))
✓	cost-diff	(*.f64 #s(literal 4 binary64) x)
✓	cost-diff	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	cost-diff	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))

Rules

1944×	`fnmadd-define`
1532×	`fma-define`
1350×	`fmsub-define`
1320×	`fnmsub-define`
1132×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	70
1	33	69
2	50	69
3	77	69
4	136	69
5	259	69
6	627	69
7	1024	69
8	1931	69
9	3512	69
10	5224	69
11	6738	69
12	6968	69
13	7009	69
14	7017	69
15	7017	69
0	7017	69

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ 4 (/ (* 4 x) y))
4
(/ (* 4 x) y)
(* 4 x)
x
y
(* x (/ 4 y))
x
(/ 4 y)
4
y
(* z (/ -4 y))
z
(/ -4 y)
-4
y
(/ (* -4 z) y)
(* -4 z)
-4
z
y
(/ (* 4 (- x z)) y)
(* 4 (- x z))
4
(- x z)
x
z
y

Outputs
(+ 4 (/ (* 4 x) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
4
#s(literal 4 binary64)
(/ (* 4 x) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
x
y
(* x (/ 4 y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
x
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
(* z (/ -4 y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
z
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
y
(/ (* -4 z) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
-4
#s(literal -4 binary64)
z
y
(/ (* 4 (- x z)) y)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (- x z))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
4
#s(literal 4 binary64)
(- x z)
(-.f64 x z)
x
z
y

localize196.0ms (2.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (-.f64 x z))
✓	accuracy	99.3%	(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) z)
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	accuracy	100.0%	(/.f64 #s(literal -4 binary64) y)
✓	accuracy	99.6%	(*.f64 z (/.f64 #s(literal -4 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	99.7%	(*.f64 x (/.f64 #s(literal 4 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)

Results

174.0ms

256×

valid

Compiler

Compiled 74 to 18 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 12.0ms (35.6% of total)

ival-add: 10.0ms (29.6% of total)

ival-div: 9.0ms (26.7% of total)

ival-sub: 1.0ms (3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts

12 → 252

Calls

Call 1

Inputs
#<alt (+ 4 (/ (* 4 x) y))>
#<alt (/ (* 4 x) y)>
#<alt (* 4 x)>
#<alt (* x (/ 4 y))>
#<alt (/ 4 y)>
#<alt (* z (/ -4 y))>
#<alt (/ -4 y)>
#<alt (/ (* -4 z) y)>
#<alt (* -4 z)>
#<alt (/ (* 4 (- x z)) y)>
#<alt (* 4 (- x z))>
#<alt (- x z)>

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

Calls

63 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ 4 (/ (* 4 x) y))
0.0ms	y	@	0	(/ -4 y)
0.0ms	x	@	-inf	(+ 4 (/ (* 4 x) y))
0.0ms	x	@	0	(+ 4 (/ (* 4 x) y))
0.0ms	y	@	0	(+ 4 (/ (* 4 x) y))

rewrite293.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3764×	`-lowering-.f32`
3764×	`-lowering-.f64`
2624×	`/-lowering-/.f32`
2624×	`/-lowering-/.f64`
1530×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	88	53
2	597	53
3	6198	53
0	8338	53

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 439

Calls

Call 1

Inputs
(+ 4 (/ (* 4 x) y))
(/ (* 4 x) y)
(* 4 x)
(* x (/ 4 y))
(/ 4 y)
(* z (/ -4 y))
(/ -4 y)
(/ (* -4 z) y)
(* -4 z)
(/ (* 4 (- x z)) y)
(* 4 (- x z))
(- x z)

Outputs
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 4 binary64))
(+.f64 (/.f64 #s(literal -16 binary64) (+.f64 #s(literal -4 binary64) (/.f64 (.f64 #s(literal 4 binary64) x) y))) (neg.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) (/.f64 y x)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 x y))))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal -16 binary64) (+.f64 #s(literal -4 binary64) (/.f64 (.f64 #s(literal 4 binary64) x) y))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) (/.f64 y x)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 x y)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) (/.f64 y x)) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) x) y) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal -4 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x) #s(literal 4 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) y) #s(literal 16 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (.f64 x (.f64 #s(literal -16 binary64) x)) (.f64 y y))) (+.f64 #s(literal -4 binary64) (/.f64 (.f64 #s(literal 4 binary64) x) y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y)))))) (+.f64 #s(literal 16 binary64) (.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) y) #s(literal 16 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) (/.f64 y x))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 x y)))))
(/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y))))) (+.f64 #s(literal 16 binary64) (.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) y) #s(literal 16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) x) y) #s(literal -4 binary64)) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) (/.f64 y x)) #s(literal -16 binary64))))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (.f64 x (.f64 #s(literal -16 binary64) x)) (.f64 y y))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) y) #s(literal 16 binary64))))))
(/.f64 (+.f64 #s(literal -16 binary64) (/.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) (/.f64 y x))) (+.f64 #s(literal -4 binary64) (/.f64 (.f64 #s(literal 4 binary64) x) y)))
(/.f64 (+.f64 #s(literal 262144 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 4096 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) #s(literal 16 binary64)))) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y)))) #s(literal 64 binary64))))))
(/.f64 (-.f64 #s(literal 4096 binary64) (.f64 (.f64 #s(literal 4096 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) #s(literal 16 binary64)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y)))))))
(/.f64 (-.f64 #s(literal 4096 binary64) (.f64 (.f64 #s(literal 4096 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 x y))) (+.f64 #s(literal 256 binary64) (.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) (/.f64 y x)) (+.f64 #s(literal 16 binary64) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) y) (/.f64 y x)))))))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) (/.f64 y x)) #s(literal -16 binary64)) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) x) y) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 #s(literal 256 binary64) (/.f64 (/.f64 x y) (/.f64 y x))) (/.f64 (/.f64 x y) (/.f64 y x)))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 x y))) (+.f64 #s(literal 16 binary64) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) y) (/.f64 y x)))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 x y)))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 x y))) (/.f64 (/.f64 (.f64 #s(literal 16 binary64) x) y) (/.f64 y x)))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) y) #s(literal 16 binary64)))))))
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(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 x z))))
(-.f64 x z)
(-.f64 #s(literal 0 binary64) (-.f64 z x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z)))
(-.f64 (+.f64 x #s(literal 0 binary64)) z)
(fma.f64 #s(literal -1 binary64) z x)
(neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x z)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (neg.f64 (*.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x))) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 x z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (neg.f64 (+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x)))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 x z)))
(/.f64 (-.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))))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z)))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 z (.f64 z (.f64 z z)))) (.f64 (+.f64 x z) (+.f64 (.f64 x x) (*.f64 z 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 (.f64 x x) (.f64 z (+.f64 x z))) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z 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 z) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 z z))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (.f64 z (.f64 z z)))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x z)) (.f64 (+.f64 x z) (.f64 z z))) (*.f64 (+.f64 x z) (+.f64 x z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 x x) (+.f64 x z))) (+.f64 (.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z))) (.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))))))
(/.f64 (-.f64 (.f64 z z) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 x x) (+.f64 x z))) (.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z)))) (+.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z))))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) #s(literal 1 binary64)) (+.f64 x z))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z 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 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z 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 #s(literal 1 binary64) (+.f64 x z))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 z z)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (+.f64 (.f64 x x) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x)))))
(.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (/.f64 (-.f64 x z) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z)))))
(.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (+.f64 x z)))
(.f64 (+.f64 x z) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z))))))
(.f64 (+.f64 (neg.f64 (.f64 x x)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (-.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (-.f64 (.f64 x x) (*.f64 z z)))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 z z)) (-.f64 (.f64 x x) (*.f64 z z))) (-.f64 x z))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (+.f64 x z)) (.f64 (.f64 z (+.f64 x z)) (.f64 z (+.f64 x z)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 z (+.f64 x z)) (-.f64 (.f64 z (+.f64 x z)) (.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 z (+.f64 x z)) (.f64 z (+.f64 x z))))) (-.f64 (.f64 x x) (*.f64 z (+.f64 x z))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (+.f64 (.f64 x x) (*.f64 z (-.f64 z x))))

simplify232.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2404×	`fnmadd-define`
1984×	`-lowering-.f32`
1984×	`-lowering-.f64`
1402×	`fmsub-define`
1206×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	1287
1	250	1272
2	718	1164
3	2232	1164
4	5696	1164
0	8172	1164

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

Outputs
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(+ 4 (* 4 (/ x y)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(+ 4 (* 4 (/ x y)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ (+ (* 4 x) (* 4 y)) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) y))
(/ (+ (* 4 x) (* 4 y)) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) y))
(/ (+ (* 4 x) (* 4 y)) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(+ 4 (* 4 (/ x y)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(+ 4 (* 4 (/ x y)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(+ 4 (* 4 (/ x y)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(+ 4 (* 4 (/ x y)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)

eval121.0ms (1.3%)

Compiler: Compiled 8257 to 982 computations (88.1% saved)

prune86.0ms (0.9%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	689	2	691
Fresh	0	1	1
Picked	0	5	5
Done	1	3	4
Total	690	11	701

Accuracy

100.0%

Counts

701 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.7%	(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
✓	40.9%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	30.9%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
▶	41.2%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
▶	54.3%	(+.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (+.f64 x z))) y))
✓	71.2%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
✓	61.3%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
▶	68.3%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	31.2%	(*.f64 z (/.f64 #s(literal -4 binary64) y))
✓	41.2%	(*.f64 x (/.f64 #s(literal 4 binary64) y))
✓	31.9%	#s(literal 4 binary64)

Compiler

Compiled 100 to 73 computations (27% saved)

simplify137.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 y x)
✓	cost-diff	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (+.f64 x z)))
✓	cost-diff	(/.f64 (.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (+.f64 x z))) y)
✓	cost-diff	(+.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (+.f64 x z))) y))
✓	cost-diff	(-.f64 x z)
✓	cost-diff	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))

Rules

1664×	`-lowering-.f32`
1664×	`-lowering-.f64`
1538×	`sum3-define`
1106×	`fma-define`
948×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	30	75
2	70	75
3	147	75
4	265	75
5	455	75
6	1057	75
7	1740	75
8	4272	73
0	8158	73

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ 4 y) (- x z))
(/ 4 y)
4
y
(- x z)
x
z
(+ 4 (/ (* (* x x) (/ 4 (+ x z))) y))
4
(/ (* (* x x) (/ 4 (+ x z))) y)
(* (* x x) (/ 4 (+ x z)))
(* x x)
x
(/ 4 (+ x z))
(+ x z)
z
y
(/ 4 (/ y x))
4
(/ y x)
y
x

Outputs
(* (/ 4 y) (- x z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
(- x z)
(-.f64 x z)
x
z
(+ 4 (/ (* (* x x) (/ 4 (+ x z))) y))
(+.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (/.f64 y x)) (+.f64 (/.f64 z x) #s(literal 1 binary64))))
4
#s(literal 4 binary64)
(/ (* (* x x) (/ 4 (+ x z))) y)
(/.f64 (/.f64 #s(literal 4 binary64) (/.f64 y x)) (+.f64 (/.f64 z x) #s(literal 1 binary64)))
(* (* x x) (/ 4 (+ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 z x) #s(literal 1 binary64)))
(* x x)
(*.f64 x x)
x
(/ 4 (+ x z))
(/.f64 #s(literal 4 binary64) (+.f64 x z))
(+ x z)
(+.f64 x z)
z
y
(/ 4 (/ y x))
(/.f64 #s(literal 4 binary64) (/.f64 y x))
4
#s(literal 4 binary64)
(/ y x)
(/.f64 y x)
y
x

localize69.0ms (0.7%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.7%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (+.f64 x z))) y))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) (+.f64 x z))
✓	accuracy	95.9%	(/.f64 (.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (+.f64 x z))) y)
✓	accuracy	69.5%	(.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (+.f64 x z)))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))

Results

50.0ms

256×

valid

Compiler

Compiled 80 to 16 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 9.0ms (40.2% of total)

ival-mult: 7.0ms (31.3% of total)

ival-add: 4.0ms (17.9% of total)

ival-sub: 2.0ms (8.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts

10 → 252

Calls

Call 1

Inputs
#<alt (* (/ 4 y) (- x z))>
#<alt (/ 4 y)>
#<alt (- x z)>
#<alt (+ 4 (/ (* (* x x) (/ 4 (+ x z))) y))>
#<alt (/ (* (* x x) (/ 4 (+ x z))) y)>
#<alt (* (* x x) (/ 4 (+ x z)))>
#<alt (* x x)>
#<alt (/ 4 (/ y x))>
#<alt (/ y x)>
#<alt (/ 4 (+ x z))>

Outputs
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (pow x 2) (* y z))))>
#<alt (+ 4 (* (pow x 2) (+ (* -4 (/ x (* y (pow z 2)))) (* 4 (/ 1 (* y z))))))>
#<alt (+ 4 (* (pow x 2) (+ (* x (- (* 4 (/ x (* y (pow z 3)))) (* 4 (/ 1 (* y (pow z 2)))))) (* 4 (/ 1 (* y z))))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ (pow z 2) (* (pow x 2) y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* -4 (/ (pow z 3) (* (pow x 3) y))) (+ (* 4 (/ (pow z 2) (* (pow x 2) y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4 (+ (* -4 (/ z y)) (* 4 (/ (pow z 2) (* x y))))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4 (+ (* -4 (/ z y)) (* -1 (/ (+ (* -4 (/ (pow z 2) y)) (* 4 (/ (pow z 3) (* x y)))) x)))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 4 (+ (* 4 (/ x y)) (* z (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))))>
#<alt (+ 4 (+ (* 4 (/ x y)) (* z (- (* z (+ (* -4 (/ z (* (pow x 2) y))) (* 4 (/ 1 (* x y))))) (* 4 (/ 1 y))))))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (pow x 2) (* y z))))>
#<alt (+ 4 (+ (* -4 (/ (pow x 3) (* y (pow z 2)))) (* 4 (/ (pow x 2) (* y z)))))>
#<alt (+ 4 (+ (* -4 (/ (pow x 3) (* y (pow z 2)))) (+ (* 4 (/ (pow x 2) (* y z))) (* 4 (/ (pow x 4) (* y (pow z 3)))))))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (pow x 2) (* y z))))>
#<alt (+ 4 (* -1 (/ (+ (* -4 (/ (pow x 2) y)) (* 4 (/ (pow x 3) (* y z)))) z)))>
#<alt (+ 4 (* -1 (/ (+ (* -4 (/ (pow x 2) y)) (* -1 (/ (+ (* -4 (/ (pow x 3) y)) (* 4 (/ (pow x 4) (* y z)))) z))) z)))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (/ (+ (* 4 y) (* 4 (/ (pow x 2) (+ x z)))) y)>
#<alt (/ (+ (* 4 y) (* 4 (/ (pow x 2) (+ x z)))) y)>
#<alt (/ (+ (* 4 y) (* 4 (/ (pow x 2) (+ x z)))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (pow x 2) (* y (+ x z)))))>
#<alt (+ 4 (* 4 (/ (pow x 2) (* y (+ x z)))))>
#<alt (+ 4 (* 4 (/ (pow x 2) (* y (+ x z)))))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (pow x 2) (* y (+ x z)))))>
#<alt (+ 4 (* 4 (/ (pow x 2) (* y (+ x z)))))>
#<alt (+ 4 (* 4 (/ (pow x 2) (* y (+ x z)))))>
#<alt (* 4 (/ (pow x 2) (* y z)))>
#<alt (* (pow x 2) (+ (* -4 (/ x (* y (pow z 2)))) (* 4 (/ 1 (* y z)))))>
#<alt (* (pow x 2) (+ (* x (- (* 4 (/ x (* y (pow z 3)))) (* 4 (/ 1 (* y (pow z 2)))))) (* 4 (/ 1 (* y z)))))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -4 (/ x (* y (pow z 4)))) (* 4 (/ 1 (* y (pow z 3)))))) (* 4 (/ 1 (* y (pow z 2)))))) (* 4 (/ 1 (* y z)))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (- (+ (* 4 (/ (pow z 2) (* (pow x 2) y))) (* 4 (/ 1 y))) (* 4 (/ z (* x y)))))>
#<alt (* x (- (+ (* -4 (/ (pow z 3) (* (pow x 3) y))) (* 4 (/ 1 y))) (+ (* -4 (/ (pow z 2) (* (pow x 2) y))) (* 4 (/ z (* x y))))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 4 (/ (pow z 2) (* x y))) (* 4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 3) (* x y))) (* 4 (/ (pow z 2) y))) x)) (* 4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* 4 (/ x y)) (* z (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (+ (* 4 (/ x y)) (* z (- (* z (+ (* -4 (/ z (* (pow x 2) y))) (* 4 (/ 1 (* x y))))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (pow x 2) (* y z)))>
#<alt (/ (+ (* -4 (/ (pow x 3) (* y z))) (* 4 (/ (pow x 2) y))) z)>
#<alt (/ (+ (* -4 (/ (pow x 3) (* y z))) (+ (* 4 (/ (pow x 2) y)) (* 4 (/ (pow x 4) (* y (pow z 2)))))) z)>
#<alt (/ (+ (* -4 (/ (pow x 3) (* y z))) (+ (* -4 (/ (pow x 5) (* y (pow z 3)))) (+ (* 4 (/ (pow x 2) y)) (* 4 (/ (pow x 4) (* y (pow z 2))))))) z)>
#<alt (* 4 (/ (pow x 2) (* y z)))>
#<alt (* -1 (/ (+ (* -4 (/ (pow x 2) y)) (* 4 (/ (pow x 3) (* y z)))) z))>
#<alt (* -1 (/ (+ (* -4 (/ (pow x 2) y)) (* -1 (/ (+ (* -4 (/ (pow x 3) y)) (* 4 (/ (pow x 4) (* y z)))) z))) z))>
#<alt (* -1 (/ (+ (* -4 (/ (pow x 2) y)) (* -1 (/ (+ (* -4 (/ (pow x 3) y)) (* -1 (/ (+ (* -4 (/ (pow x 4) y)) (* 4 (/ (pow x 5) (* y z)))) z))) z))) z))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) (* y (+ x z))))>
#<alt (* 4 (/ (pow x 2) z))>
#<alt (* (pow x 2) (+ (* -4 (/ x (pow z 2))) (* 4 (/ 1 z))))>
#<alt (* (pow x 2) (+ (* x (- (* 4 (/ x (pow z 3))) (* 4 (/ 1 (pow z 2))))) (* 4 (/ 1 z))))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -4 (/ x (pow z 4))) (* 4 (/ 1 (pow z 3))))) (* 4 (/ 1 (pow z 2))))) (* 4 (/ 1 z))))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* x (- (+ 4 (* 4 (/ (pow z 2) (pow x 2)))) (* 4 (/ z x))))>
#<alt (* x (- (+ 4 (* -4 (/ (pow z 3) (pow x 3)))) (+ (* -4 (/ (pow z 2) (pow x 2))) (* 4 (/ z x)))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 4 (/ (pow z 2) x)) (* 4 z)) x)) 4)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 3) x)) (* 4 (pow z 2))) x)) (* 4 z)) x)) 4)))>
#<alt (* 4 x)>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* 4 x) (* z (- (* 4 (/ z x)) 4)))>
#<alt (+ (* 4 x) (* z (- (* z (+ (* -4 (/ z (pow x 2))) (* 4 (/ 1 x)))) 4)))>
#<alt (* 4 (/ (pow x 2) z))>
#<alt (/ (+ (* -4 (/ (pow x 3) z)) (* 4 (pow x 2))) z)>
#<alt (/ (+ (* -4 (/ (pow x 3) z)) (+ (* 4 (/ (pow x 4) (pow z 2))) (* 4 (pow x 2)))) z)>
#<alt (/ (+ (* -4 (/ (pow x 3) z)) (+ (* -4 (/ (pow x 5) (pow z 3))) (+ (* 4 (/ (pow x 4) (pow z 2))) (* 4 (pow x 2))))) z)>
#<alt (* 4 (/ (pow x 2) z))>
#<alt (* -1 (/ (+ (* -4 (pow x 2)) (* 4 (/ (pow x 3) z))) z))>
#<alt (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (/ (+ (* -4 (pow x 3)) (* 4 (/ (pow x 4) z))) z))) z))>
#<alt (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (/ (+ (* -4 (pow x 3)) (* -1 (/ (+ (* -4 (pow x 4)) (* 4 (/ (pow x 5) z))) z))) z))) z))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ 4 z)>
#<alt (+ (* -4 (/ x (pow z 2))) (* 4 (/ 1 z)))>
#<alt (+ (* x (- (* 4 (/ x (pow z 3))) (* 4 (/ 1 (pow z 2))))) (* 4 (/ 1 z)))>
#<alt (+ (* x (- (* x (+ (* -4 (/ x (pow z 4))) (* 4 (/ 1 (pow z 3))))) (* 4 (/ 1 (pow z 2))))) (* 4 (/ 1 z)))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -4 (/ z x))) x)>
#<alt (/ (- (+ 4 (* 4 (/ (pow z 2) (pow x 2)))) (* 4 (/ z x))) x)>
#<alt (/ (- (+ 4 (* -4 (/ (pow z 3) (pow x 3)))) (+ (* -4 (/ (pow z 2) (pow x 2))) (* 4 (/ z x)))) x)>
#<alt (/ 4 x)>
#<alt (* -1 (/ (- (* 4 (/ z x)) 4) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 2) x)) (* 4 z)) x)) 4) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 3) x)) (* 4 (pow z 2))) x)) (* 4 z)) x)) 4) x))>
#<alt (/ 4 x)>
#<alt (+ (* -4 (/ z (pow x 2))) (* 4 (/ 1 x)))>
#<alt (+ (* z (- (* 4 (/ z (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 4 (/ 1 x)))>
#<alt (+ (* z (- (* z (+ (* -4 (/ z (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 4 (/ 1 x)))>
#<alt (/ 4 z)>
#<alt (/ (+ 4 (* -4 (/ x z))) z)>
#<alt (/ (- (+ 4 (* 4 (/ (pow x 2) (pow z 2)))) (* 4 (/ x z))) z)>
#<alt (/ (- (+ 4 (* -4 (/ (pow x 3) (pow z 3)))) (+ (* -4 (/ (pow x 2) (pow z 2))) (* 4 (/ x z)))) z)>
#<alt (/ 4 z)>
#<alt (* -1 (/ (- (* 4 (/ x z)) 4) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 2) z)) (* 4 x)) z)) 4) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 3) z)) (* 4 (pow x 2))) z)) (* 4 x)) z)) 4) z))>

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(+ 4 (/ (* (* x x) (/ 4 (+ x z))) y))
1.0ms	z	@	0	(* (* x x) (/ 4 (+ x z)))
0.0ms	y	@	0	(+ 4 (/ (* (* x x) (/ 4 (+ x z))) y))
0.0ms	x	@	inf	(+ 4 (/ (* (* x x) (/ 4 (+ x z))) y))
0.0ms	x	@	0	(+ 4 (/ (* (* x x) (/ 4 (+ x z))) y))

rewrite362.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5364×	`-lowering-.f32`
5364×	`-lowering-.f64`
4274×	`/-lowering-/.f32`
4274×	`/-lowering-/.f64`
1232×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	94	61
2	793	61
0	8437	61

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 592

Calls

Call 1

Inputs
(* (/ 4 y) (- x z))
(/ 4 y)
(- x z)
(+ 4 (/ (* (* x x) (/ 4 (+ x z))) y))
(/ (* (* x x) (/ 4 (+ x z))) y)
(* (* x x) (/ 4 (+ x z)))
(* x x)
(/ 4 (/ y x))
(/ y x)
(/ 4 (+ x z))

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

simplify295.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

4216×	`-lowering-.f32`
4216×	`-lowering-.f64`
2912×	`+-lowering-+.f64`
2912×	`+-lowering-+.f32`
1412×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	2564
1	1383	2492
2	4225	2410
0	8386	2410

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
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(* x (+ (* -4 (/ z (* x y))) (+ (* -4 (/ (pow z 3) (* (pow x 3) y))) (+ (* 4 (/ (pow z 2) (* (pow x 2) y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))))
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(* -1 (* x (- (* -1 (/ (+ 4 (+ (* -4 (/ z y)) (* 4 (/ (pow z 2) (* x y))))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 4 (+ (* -4 (/ z y)) (* -1 (/ (+ (* -4 (/ (pow z 2) y)) (* 4 (/ (pow z 3) (* x y)))) x)))) x)) (* 4 (/ 1 y)))))
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(+ 4 (+ (* 4 (/ x y)) (* z (- (* z (+ (* -4 (/ z (* (pow x 2) y))) (* 4 (/ 1 (* x y))))) (* 4 (/ 1 y))))))
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4
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(+ 4 (* -1 (/ (+ (* -4 (/ (pow x 2) y)) (* 4 (/ (pow x 3) (* y z)))) z)))
(+ 4 (* -1 (/ (+ (* -4 (/ (pow x 2) y)) (* -1 (/ (+ (* -4 (/ (pow x 3) y)) (* 4 (/ (pow x 4) (* y z)))) z))) z)))
(* 4 (/ (pow x 2) (* y (+ x z))))
(/ (+ (* 4 y) (* 4 (/ (pow x 2) (+ x z)))) y)
(/ (+ (* 4 y) (* 4 (/ (pow x 2) (+ x z)))) y)
(/ (+ (* 4 y) (* 4 (/ (pow x 2) (+ x z)))) y)
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(* (pow x 2) (+ (* x (- (* x (+ (* -4 (/ x (* y (pow z 4)))) (* 4 (/ 1 (* y (pow z 3)))))) (* 4 (/ 1 (* y (pow z 2)))))) (* 4 (/ 1 (* y z)))))
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(+ (* 4 (/ x y)) (* z (- (* z (+ (* -4 (/ z (* (pow x 2) y))) (* 4 (/ 1 (* x y))))) (* 4 (/ 1 y)))))
(* 4 (/ (pow x 2) (* y z)))
(/ (+ (* -4 (/ (pow x 3) (* y z))) (* 4 (/ (pow x 2) y))) z)
(/ (+ (* -4 (/ (pow x 3) (* y z))) (+ (* 4 (/ (pow x 2) y)) (* 4 (/ (pow x 4) (* y (pow z 2)))))) z)
(/ (+ (* -4 (/ (pow x 3) (* y z))) (+ (* -4 (/ (pow x 5) (* y (pow z 3)))) (+ (* 4 (/ (pow x 2) y)) (* 4 (/ (pow x 4) (* y (pow z 2))))))) z)
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(+ (* -4 z) (* 4 x))
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(+ (* 4 x) (* z (- (* z (+ (* -4 (/ z (pow x 2))) (* 4 (/ 1 x)))) 4)))
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(/ (+ (* -4 (/ (pow x 3) z)) (* 4 (pow x 2))) z)
(/ (+ (* -4 (/ (pow x 3) z)) (+ (* 4 (/ (pow x 4) (pow z 2))) (* 4 (pow x 2)))) z)
(/ (+ (* -4 (/ (pow x 3) z)) (+ (* -4 (/ (pow x 5) (pow z 3))) (+ (* 4 (/ (pow x 4) (pow z 2))) (* 4 (pow x 2))))) z)
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(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(pow x 2)
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(* 4 (/ x y))
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(/ y x)
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(/ (- (+ 4 (* 4 (/ (pow x 2) (pow z 2)))) (* 4 (/ x z))) z)
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Outputs
(* 4 (/ (- x z) y))
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(* 4 (/ (- x z) y))
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4
#s(literal 4 binary64)
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(+ 4 (* (pow x 2) (+ (* -4 (/ x (* y (pow z 2)))) (* 4 (/ 1 (* y z))))))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 (/.f64 x z) z) y)) (/.f64 #s(literal 4 binary64) (.f64 z y)))))
(+ 4 (* (pow x 2) (+ (* x (- (* 4 (/ x (* y (pow z 3)))) (* 4 (/ 1 (* y (pow z 2)))))) (* 4 (/ 1 (* y z))))))
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(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(+ (* -4 (/ x (pow z 2))) (* 4 (/ 1 z)))
(+.f64 (/.f64 (*.f64 x (/.f64 #s(literal -4 binary64) z)) z) (/.f64 #s(literal 4 binary64) z))
(+ (* x (- (* 4 (/ x (pow z 3))) (* 4 (/ 1 (pow z 2))))) (* 4 (/ 1 z)))
(+.f64 (/.f64 #s(literal 4 binary64) z) (.f64 x (+.f64 (/.f64 #s(literal -4 binary64) (.f64 z z)) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 x z) z)) z))))
(+ (* x (- (* x (+ (* -4 (/ x (pow z 4))) (* 4 (/ 1 (pow z 3))))) (* 4 (/ 1 (pow z 2))))) (* 4 (/ 1 z)))
(+.f64 (/.f64 #s(literal 4 binary64) z) (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 (.f64 x #s(literal -4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (.f64 z (.f64 z z))))) (/.f64 #s(literal -4 binary64) (.f64 z z)))))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* -4 (/ z x))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) x)) x)
(/ (- (+ 4 (* 4 (/ (pow z 2) (pow x 2)))) (* 4 (/ z x))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z x)))) x)) x)
(/ (- (+ 4 (* -4 (/ (pow z 3) (pow x 3)))) (+ (* -4 (/ (pow z 2) (pow x 2))) (* 4 (/ z x)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal 4 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z x)))) x)) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(* -1 (/ (- (* 4 (/ z x)) 4) x))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 2) x)) (* 4 z)) x)) 4) x))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z x)))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 3) x)) (* 4 (pow z 2))) x)) (* 4 z)) x)) 4) x))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (.f64 z (.f64 z z)) x) (.f64 z z)) x) z)) x)) (-.f64 #s(literal 0 binary64) x))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(+ (* -4 (/ z (pow x 2))) (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) x) x))
(+ (* z (- (* 4 (/ z (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) (.f64 z (+.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) z) x) x) x))))
(+ (* z (- (* z (+ (* -4 (/ z (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) (.f64 z (+.f64 (.f64 z (+.f64 (.f64 #s(literal -4 binary64) (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -4 binary64) (.f64 x x)))))
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ (+ 4 (* -4 (/ x z))) z)
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal -4 binary64) z))) z)
(/ (- (+ 4 (* 4 (/ (pow x 2) (pow z 2)))) (* 4 (/ x z))) z)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) z)
(/ (- (+ 4 (* -4 (/ (pow x 3) (pow z 3)))) (+ (* -4 (/ (pow x 2) (pow z 2))) (* 4 (/ x z)))) z)
(/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -4 binary64)))) z) (.f64 z z))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(* -1 (/ (- (* 4 (/ x z)) 4) z))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal -4 binary64) z))) z)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 2) z)) (* 4 x)) z)) 4) z))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 3) z)) (* 4 (pow x 2))) z)) (* 4 x)) z)) 4) z))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -4 binary64) (-.f64 (/.f64 (.f64 x (.f64 x x)) z) (.f64 x x))) z) (*.f64 x #s(literal -4 binary64))) z)) z)

eval136.0ms (1.4%)

Compiler: Compiled 16800 to 2117 computations (87.4% saved)

prune109.0ms (1.2%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	843	1	844
Fresh	0	0	0
Picked	1	2	3
Done	0	8	8
Total	844	11	855

Accuracy

100.0%

Counts

855 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) y) (+.f64 x z))
✓	67.7%	(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
✓	40.9%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	30.9%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	41.2%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	71.2%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
✓	61.3%	(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	68.3%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	31.2%	(*.f64 z (/.f64 #s(literal -4 binary64) y))
✓	41.2%	(*.f64 x (/.f64 #s(literal 4 binary64) y))
✓	31.9%	#s(literal 4 binary64)

Compiler

Compiled 234 to 119 computations (49.1% saved)

regimes29.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))

Calls

5 calls:

7.0ms	y
5.0ms	z
5.0ms	x
5.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
99.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes14.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal 4 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)

Outputs
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))

Calls

3 calls:

5.0ms	x
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
91.7%	3	`x`
87.6%	3	`y`
89.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal 4 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))

Outputs
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
#s(literal 4 binary64)

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
79.9%	3	`y`
68.5%	1	`z`
74.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts

6 → 4

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal 4 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)

Outputs
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
59.1%	4	`z`
66.1%	4	`x`
57.4%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts

5 → 4

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal 4 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)

Outputs
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.0%	4	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts

4 → 4

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal 4 binary64) (/.f64 y x))

Outputs
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.0%	4	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))

Outputs
(*.f64 x (/.f64 #s(literal 4 binary64) y))
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.9%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)

Outputs
#s(literal 4 binary64)

Calls

3 calls:

3.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
31.9%	1	`y`
31.9%	1	`z`
31.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.000939823311832e+36	2.974467817551296e+42
12.0ms	-2.334035251956541e+36	-4.110092724624156e+34

Results

20.0ms

256×

valid

Compiler

Compiled 374 to 289 computations (22.7% saved)

Precisions

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

ival-mult: 6.0ms (48.7% of total)

ival-add: 3.0ms (24.3% of total)

ival-div: 2.0ms (16.2% of total)

ival-sub: 1.0ms (8.1% of total)

const: 1.0ms (8.1% of total)

backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.314923658103605e+110	1.3362394288796994e+113
8.0ms	-2.1745748183449037e+138	-5.463853173327616e+137

Results

13.0ms

192×

valid

Compiler

Compiled 214 to 173 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (39.1% of total)

ival-add: 2.0ms (26.1% of total)

ival-sub: 1.0ms (13% of total)

ival-div: 1.0ms (13% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	4.000939823311832e+36	2.974467817551296e+42
16.0ms	-4.3932897131426455e-119	-8.710816005586763e-125
15.0ms	-971020.3923154259	-177.60312021358158

Results

31.0ms

416×

valid

Compiler

Compiled 418 to 345 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (43.2% of total)

ival-add: 5.0ms (27% of total)

ival-div: 3.0ms (16.2% of total)

ival-sub: 2.0ms (10.8% of total)

const: 1.0ms (5.4% of total)

backward-pass: 0.0ms (0% of total)

bsearch74.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	4.000939823311832e+36	2.974467817551296e+42
34.0ms	-4.3932897131426455e-119	-8.710816005586763e-125
13.0ms	-971020.3923154259	-177.60312021358158

Results

49.0ms

416×

valid

Compiler

Compiled 418 to 345 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 25.0ms (69.5% of total)

ival-add: 4.0ms (11.1% of total)

ival-div: 3.0ms (8.3% of total)

ival-sub: 2.0ms (5.6% of total)

const: 1.0ms (2.8% of total)

backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	4.000939823311832e+36	2.974467817551296e+42
16.0ms	-4.3932897131426455e-119	-8.710816005586763e-125
14.0ms	-971020.3923154259	-177.60312021358158

Results

31.0ms

416×

valid

Compiler

Compiled 418 to 345 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38% of total)

ival-div: 4.0ms (21.7% of total)

ival-add: 4.0ms (21.7% of total)

ival-sub: 2.0ms (10.8% of total)

const: 1.0ms (5.4% of total)

backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	4.000939823311832e+36	2.974467817551296e+42
11.0ms	-2.334035251956541e+36	-4.110092724624156e+34

Results

18.0ms

256×

valid

Compiler

Compiled 246 to 209 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (39.2% of total)

ival-add: 3.0ms (29.4% of total)

ival-div: 2.0ms (19.6% of total)

ival-sub: 1.0ms (9.8% of total)

const: 1.0ms (9.8% of total)

backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`if-if-or-not_binary32`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	149
1	83	149
2	88	149
3	90	149
4	91	149

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(if (<=.f64 x #s(literal -165000000000000007737274929661345792 binary64)) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) (if (<=.f64 x #s(literal 30499999999999999898960440029926385516544 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))))
(if (<=.f64 y #s(literal -579999999999999969468908584470212204418819186030746796266790564908981817652637391835086420340730962467499929796260649066275222691090792448 binary64)) #s(literal 4 binary64) (if (<=.f64 y #s(literal 4500000000000000005937761504973491137356255101058213012082831941239168916830152430025842481198497013854065655808 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)))
(if (<=.f64 x #s(literal -11500 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal -1680814549933591/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (.f64 #s(literal -4 binary64) z) y) (if (<=.f64 x #s(literal 799999999999999981990478587648272236544 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))))
(if (<=.f64 x #s(literal -6200 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal -3572557697657767/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (.f64 #s(literal -4 binary64) z) y) (if (<=.f64 x #s(literal 999999999999999939709166371603178586112 binary64)) #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))
(if (<=.f64 x #s(literal -19000 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal -2679418273243325/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 x #s(literal 42000000000000002001256811162192905764864 binary64)) #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))
(if (<=.f64 x #s(literal -700000000000000014937050902844932096 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal 73999999999999998711908587987036798976 binary64)) #s(literal 4 binary64) (.f64 x (/.f64 #s(literal 4 binary64) y))))
#s(literal 4 binary64)

Outputs
(+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(if (<=.f64 x #s(literal -165000000000000007737274929661345792 binary64)) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) (if (<=.f64 x #s(literal 30499999999999999898960440029926385516544 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))))
(if (<=.f64 x #s(literal -165000000000000007737274929661345792 binary64)) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) (if (<=.f64 x #s(literal 30499999999999999898960440029926385516544 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 z #s(literal -4 binary64)) y)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))))
(if (<=.f64 y #s(literal -579999999999999969468908584470212204418819186030746796266790564908981817652637391835086420340730962467499929796260649066275222691090792448 binary64)) #s(literal 4 binary64) (if (<=.f64 y #s(literal 4500000000000000005937761504973491137356255101058213012082831941239168916830152430025842481198497013854065655808 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)))
(if (<=.f64 x #s(literal -11500 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal -1680814549933591/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (.f64 #s(literal -4 binary64) z) y) (if (<=.f64 x #s(literal 799999999999999981990478587648272236544 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))))
(if (<=.f64 x #s(literal -11500 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 x #s(literal -1680814549933591/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (.f64 z #s(literal -4 binary64)) y) (if (<=.f64 x #s(literal 799999999999999981990478587648272236544 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))))
(if (<=.f64 x #s(literal -6200 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal -3572557697657767/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (.f64 #s(literal -4 binary64) z) y) (if (<=.f64 x #s(literal 999999999999999939709166371603178586112 binary64)) #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))
(if (<=.f64 x #s(literal -6200 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 x #s(literal -3572557697657767/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (.f64 z #s(literal -4 binary64)) y) (if (<=.f64 x #s(literal 999999999999999939709166371603178586112 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(if (<=.f64 x #s(literal -19000 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal -2679418273243325/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 x #s(literal 42000000000000002001256811162192905764864 binary64)) #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))
(if (<=.f64 x #s(literal -19000 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 x #s(literal -2679418273243325/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 x #s(literal 42000000000000002001256811162192905764864 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(if (<=.f64 x #s(literal -700000000000000014937050902844932096 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal 73999999999999998711908587987036798976 binary64)) #s(literal 4 binary64) (.f64 x (/.f64 #s(literal 4 binary64) y))))
(if (<=.f64 x #s(literal -700000000000000014937050902844932096 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 x #s(literal 73999999999999998711908587987036798976 binary64)) #s(literal 4 binary64) (.f64 (/.f64 #s(literal 4 binary64) y) x)))
#s(literal 4 binary64)

soundness2.0s (20.7%)

Rules

4946×	`-lowering-.f32`
4946×	`-lowering-.f64`
4664×	`/-lowering-/.f32`
4664×	`/-lowering-/.f64`
3740×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	24	11
2	61	11
3	123	11
4	275	11
5	747	8
6	2947	8
7	5188	8
0	8121	8
0	240	2868
1	799	2744
2	2346	2643
3	7790	2643
0	8276	2643
0	22	84
1	144	74
2	1421	74
0	8364	74
0	96	802
1	309	797
2	952	689
3	3075	689
4	7409	689
0	8276	689
0	8	24
1	49	23
2	428	23
3	6966	23
0	8793	23

Stop Event

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

Compiler

Compiled 552 to 342 computations (38% saved)

preprocess51.0ms (0.5%)

Compiler: Compiled 356 to 152 computations (57.3% saved)

analyze54.0ms (0.6%)

sample1.1s (12.1%)

preprocess228.0ms (2.4%)

explain406.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify117.0ms (1.2%)

localize34.0ms (0.4%)

series9.0ms (0.1%)

rewrite320.0ms (3.4%)

simplify226.0ms (2.4%)

eval56.0ms (0.6%)

prune115.0ms (1.2%)

simplify209.0ms (2.2%)

localize327.0ms (3.5%)

series286.0ms (3%)

rewrite519.0ms (5.5%)

simplify317.0ms (3.4%)

eval195.0ms (2.1%)

prune327.0ms (3.5%)

simplify139.0ms (1.5%)

localize196.0ms (2.1%)

series4.0ms (0%)

rewrite293.0ms (3.1%)

simplify232.0ms (2.5%)

eval121.0ms (1.3%)

prune86.0ms (0.9%)

simplify137.0ms (1.4%)

localize69.0ms (0.7%)

series13.0ms (0.1%)

rewrite362.0ms (3.8%)

simplify295.0ms (3.1%)

eval136.0ms (1.4%)

prune109.0ms (1.2%)

regimes29.0ms (0.3%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch23.0ms (0.2%)

bsearch53.0ms (0.6%)

bsearch74.0ms (0.8%)

bsearch52.0ms (0.5%)

bsearch38.0ms (0.4%)

simplify13.0ms (0.1%)

soundness2.0s (20.7%)

preprocess51.0ms (0.5%)

end0.0ms (0%)

Profiling