Metrics for Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

analyze75.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

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

ival-mult: 14.0ms (41.3% of total)

ival-div: 11.0ms (32.4% of total)

ival-add: 7.0ms (20.6% of total)

const: 1.0ms (2.9% of total)

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

sample933.0ms (11.5%)

Results

666.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 384.0ms

ival-mult: 162.0ms (42.1% of total)

ival-div: 147.0ms (38.2% of total)

ival-add: 61.0ms (15.9% of total)

const: 11.0ms (2.9% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess66.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1862×	`fma-define`
1726×	`fnmadd-define`
1372×	`sum3-define`
1288×	`sum5-define`
652×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	103
1	134	93
2	375	93
3	1263	90
4	3368	90
0	9	10
1	24	9
2	47	9
3	110	9
4	178	9
5	247	9
6	251	9
0	251	9

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain83.0ms (1%)

FPErrors

Click to see full error table

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

Results

50.0ms

512×

valid

Compiler

Compiled 88 to 29 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 12.0ms (51% of total)

ival-div: 8.0ms (34% of total)

ival-add: 3.0ms (12.8% of total)

const: 1.0ms (4.3% of total)

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

eval0.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	90.6%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

142×	`-lowering-.f32`
142×	`-lowering-.f64`
110×	`fma-define`
70×	`fma-lowering-fma.f32`
70×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	29	62
2	75	62
3	176	62
4	269	62
5	285	62
0	285	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize77.0ms (1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	98.8%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	92.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
✓	accuracy	98.8%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	92.2%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))

Results

62.0ms

256×

valid

Compiler

Compiled 76 to 12 computations (84.2% saved)

Precisions

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

ival-div: 6.0ms (44.8% of total)

ival-mult: 6.0ms (44.8% of total)

ival-add: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Counts

7 → 168

Calls

Call 1

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

Outputs
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt y>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt 1>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ 1 (* x (* y (+ 1 (* z z)))))
1.0ms	z	@	0	(/ 1 (* x (* y (+ 1 (* z z)))))
1.0ms	y	@	0	(/ 1 (* x (* y (+ 1 (* z z)))))
1.0ms	x	@	-inf	(/ 1 (* x (* y (+ 1 (* z z)))))
1.0ms	y	@	inf	(/ 1 (* x (* y (+ 1 (* z z)))))

rewrite344.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3406×	`-lowering-.f32`
3406×	`-lowering-.f64`
1836×	`fma-lowering-fma.f32`
1836×	`fma-lowering-fma.f64`
1542×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	65	41
2	441	41
3	3547	41
0	8349	41

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 696

Calls

Call 1

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

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

simplify250.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2368×	`-lowering-.f32`
2368×	`-lowering-.f64`
1906×	`sum4-define`
1612×	`/-lowering-/.f32`
1612×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	1540
1	164	1425
2	481	1417
3	1952	1385
4	6090	1385
0	8092	1385

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)

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

eval203.0ms (2.5%)

Compiler: Compiled 25394 to 1947 computations (92.3% saved)

prune326.0ms (4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1061	15	1076
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1063	15	1078

Accuracy

100.0%

Counts

1078 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.1%	(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	70.4%	(pow.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 x y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) (*.f64 x y))) #s(literal -1/2 binary64))
	91.1%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z))) x)
▶	94.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
	94.5%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	92.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
▶	48.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	95.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) z) z (*.f64 x y)))
▶	97.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 x y)))
	96.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (*.f64 x y)))
	94.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))) y))
	48.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
▶	61.1%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	22.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 z z)) (.f64 (.f64 z z) (.f64 y (.f64 y (.f64 z z))))))) (+.f64 (.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (.f64 z z)) y)) (*.f64 y y)))

Compiler

Compiled 484 to 278 computations (42.6% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	6272	(fma.f64 (*.f64 y z) z y)
✓	cost-diff	6272	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 y (.f64 z z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	6400	(fma.f64 (.f64 y z) (.f64 z x) (*.f64 x y))
✓	cost-diff	6400	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 x y)))

Rules

142×	`/-lowering-/.f32`
142×	`/-lowering-/.f64`
142×	`-lowering-.f32`
142×	`-lowering-.f64`
132×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	130
1	58	119
2	132	119
3	256	119
4	301	119
5	305	119
0	305	119

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize103.0ms (1.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.9%	(fma.f64 (*.f64 y z) z y)
✓	accuracy	92.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))))
✓	accuracy	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
✓	accuracy	93.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	92.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
✓	accuracy	88.5%	(.f64 y (.f64 z z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 x y)))
✓	accuracy	98.4%	(fma.f64 (.f64 y z) (.f64 z x) (*.f64 x y))

Results

73.0ms

256×

valid

Compiler

Compiled 139 to 21 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 15.0ms (39.9% of total)

ival-div: 12.0ms (31.9% of total)

compiled-spec: 7.0ms (18.6% of total)

ival-add: 4.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Counts

16 → 408

Calls

Call 1

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

Outputs
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* y (+ x (* x (pow z 2))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* x (+ y (* y (pow z 2))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt x>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt 1>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt y>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/ 1 (* x y))
3.0ms	y	@	0	(/ 1 (+ (* (* y z) (* z x)) (* x y)))
1.0ms	x	@	0	(/ 1 (+ (* (* y z) (* z x)) (* x y)))
1.0ms	y	@	-inf	(/ 1 (+ (* (* y z) (* z x)) (* x y)))
1.0ms	y	@	inf	(/ 1 (+ (* (* y z) (* z x)) (* x y)))

rewrite406.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

3876×	`-lowering-.f32`
3876×	`-lowering-.f64`
3648×	`/-lowering-/.f32`
3648×	`/-lowering-/.f64`
1656×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	100
1	146	89
2	1118	88
0	8301	88

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1210

Calls

Call 1

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

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

simplify287.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3396×	`-lowering-.f32`
3396×	`-lowering-.f64`
1586×	`/-lowering-/.f32`
1586×	`/-lowering-/.f64`
1532×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	3170
1	350	2994
2	978	2979
3	3558	2959
0	8219	2959

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* y (+ x (* x (pow z 2))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* x (+ y (* y (pow z 2))))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
(* x (+ 1 (pow z 2)))
x
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(+ x (* x (pow z 2)))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))

Outputs
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (+.f64 (.f64 z z) #s(literal -1 binary64))))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 (/.f64 (.f64 z z) y) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 z z) (+.f64 (.f64 (/.f64 (/.f64 (.f64 z z) y) x) (-.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 #s(literal -1 binary64) (.f64 y x)))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z))))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (.f64 z z))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 6 binary64))))))) (.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z))))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (.f64 z z))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 6 binary64))))))) (.f64 z z))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(* y (+ x (* x (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* y (+ x (* x (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* y (+ x (* x (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* y (+ x (* x (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
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(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* y (+ x (* x (pow z 2))))
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(* y (+ x (* x (pow z 2))))
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(* y (+ x (* x (pow z 2))))
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(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* x y)
(*.f64 y x)
(+ (* x y) (* x (* y (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(+ (* x y) (* x (* y (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(+ (* x y) (* x (* y (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* x (* y (pow z 2)))
(.f64 y (.f64 x (*.f64 z z)))
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(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* x (* y (pow z 2)))
(.f64 y (.f64 x (*.f64 z z)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
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(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
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(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
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(* x (+ y (* y (pow z 2))))
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(* x (+ y (* y (pow z 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
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(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
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(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* y z)
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(* y z)
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(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
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(* y z)
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(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (+.f64 (.f64 z z) #s(literal -1 binary64))))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 (/.f64 (.f64 z z) y) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 z z) (+.f64 (.f64 (/.f64 (/.f64 (.f64 z z) y) x) (-.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 #s(literal -1 binary64) (.f64 y x)))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z))))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (.f64 z z))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 6 binary64))))))) (.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z))))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 z z)))) (.f64 z z))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (.f64 z z)))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 x (pow.f64 z #s(literal 6 binary64))))))) (.f64 z z))
(* y (+ 1 (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* y (+ 1 (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* y (+ 1 (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* y (+ 1 (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* y (+ 1 (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* y (+ 1 (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* y (+ 1 (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* y (+ 1 (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
y
(+ y (* y (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(+ y (* y (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(+ y (* y (pow z 2)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* y (pow z 2))
(.f64 y (.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* y (pow z 2))
(.f64 y (.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

eval349.0ms (4.3%)

Compiler: Compiled 36000 to 2710 computations (92.5% saved)

prune154.0ms (1.9%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1726	13	1739
Fresh	8	2	10
Picked	2	3	5
Done	0	0	0
Total	1736	18	1754

Accuracy

100.0%

Counts

1754 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.0%	(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	91.1%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z))) x)
▶	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 y z))
	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 z x))
✓	94.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
	52.0%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 z z))) y)
▶	55.1%	(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (.f64 y z)))
	52.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z)))
	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	48.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
▶	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	34.5%	(/.f64 (.f64 y (-.f64 (.f64 x (.f64 z z)) x)) (.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 y (-.f64 (.f64 x (.f64 z z)) x))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
▶	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	61.1%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	55.6%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) (.f64 z x)))
	61.1%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
	55.7%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y z)) (/.f64 (/.f64 #s(literal -1 binary64) x) z))

Compiler

Compiled 414 to 265 computations (36% saved)

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

308×	`times-frac`
284×	`-lowering-.f32`
284×	`-lowering-.f64`
188×	`/-lowering-/.f32`
188×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	98
1	50	94
2	105	94
3	194	94
4	391	94
5	703	94
6	721	94
0	721	94

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize106.0ms (1.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 z x))
✓	accuracy	96.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 y z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	98.2%	(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (.f64 y z)))
✓	accuracy	92.8%	(.f64 x (.f64 y z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	98.8%	(/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓	accuracy	92.4%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z))) x)

Results

78.0ms

256×

valid

Compiler

Compiled 116 to 21 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 19.0ms (66.9% of total)

ival-mult: 8.0ms (28.2% of total)

ival-add: 1.0ms (3.5% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

16 → 372

Calls

Call 1

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

Outputs
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt 1>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/ (/ 1 (* z x)) (* y z))
0.0ms	x	@	0	(* x (* y z))
0.0ms	x	@	0	(/ 1 (* z x))
0.0ms	y	@	inf	(* x (* y z))
0.0ms	x	@	inf	(* x (* y z))

rewrite324.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3330×	`-lowering-.f32`
3330×	`-lowering-.f64`
2998×	`/-lowering-/.f32`
2998×	`/-lowering-/.f64`
1796×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	75
1	131	71
2	855	71
3	6410	71
0	8274	71

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 828

Calls

Call 1

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

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

simplify270.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2368×	`-lowering-.f32`
2368×	`-lowering-.f64`
2328×	`fma-lowering-fma.f32`
2328×	`fma-lowering-fma.f64`
1906×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	2172
1	221	2123
2	625	2116
3	2268	2093
4	6888	2093
0	8236	2093

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))
(/ 1 (* y (pow z 2)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/ 1 (* y (pow z 2)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (.f64 (/.f64 (/.f64 (.f64 z z) y) x) (+.f64 (*.f64 z z) #s(literal -1 binary64))))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(.f64 (+.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 z z))))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 z z))))) (.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 6 binary64))))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 z z))))) (.f64 z z)))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 z z))))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 z z))))) (.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (pow.f64 z #s(literal 6 binary64))))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y (.f64 z z))))) (.f64 z z)))) (*.f64 z z))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z z) y))
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 (.f64 z z) y) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))
(.f64 (+.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z z) y)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 z z))) (/.f64 #s(literal -1 binary64) (.f64 y (pow.f64 z #s(literal 6 binary64))))) (*.f64 z z))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 z z))) (.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (.f64 z z))) (/.f64 #s(literal -1 binary64) (.f64 y (pow.f64 z #s(literal 6 binary64))))) (*.f64 z z))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (pow z 2))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (pow z 2))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (pow z 2))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
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(/ 1 x)
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(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
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(*.f64 x y)
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(*.f64 x y)
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(*.f64 x y)
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(*.f64 x y)
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(*.f64 x y)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* x (* y z))
(.f64 y (.f64 x z))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (*.f64 z z))))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)

eval155.0ms (1.9%)

Compiler: Compiled 18307 to 1855 computations (89.9% saved)

prune171.0ms (2.1%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1273	2	1275
Fresh	3	7	10
Picked	0	5	5
Done	0	3	3
Total	1276	17	1293

Accuracy

100.0%

Counts

1293 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	91.1%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z))) x)
✓	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 y z))
▶	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 z x))
✓	94.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
	57.8%	(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 y x) z))
✓	55.1%	(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (.f64 y z)))
▶	52.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z)))
▶	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	48.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
✓	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	34.5%	(/.f64 (.f64 y (-.f64 (.f64 x (.f64 z z)) x)) (.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 y (-.f64 (.f64 x (.f64 z z)) x))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	61.1%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	61.1%	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
▶	61.1%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 326 to 205 computations (37.1% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(pow.f64 (*.f64 y x) #s(literal -1/2 binary64))
✓	cost-diff	12800	(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y z))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 z x))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 x (.f64 z z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) y) x)

Rules

204×	`-lowering-.f32`
204×	`-lowering-.f64`
124×	`associate-r`
94×	`associate-*r/`
90×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
1	47	80
2	87	80
3	148	80
4	263	80
5	356	80
6	356	80
0	356	80

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize104.0ms (1.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.4%	(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	75.8%	(pow.f64 (*.f64 y x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y z))
✓	accuracy	96.9%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 z x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	90.6%	(.f64 x (.f64 z z))
✓	accuracy	90.1%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)

Results

70.0ms

256×

valid

Compiler

Compiled 98 to 21 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 14.0ms (36.8% of total)

ival-pow: 12.0ms (31.5% of total)

ival-div: 11.0ms (28.9% of total)

const: 1.0ms (2.6% of total)

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

series13.0ms (0.2%)

Counts

14 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(pow (pow (* y x) -1/2) 2)
1.0ms	x	@	-inf	(pow (pow (* y x) -1/2) 2)
1.0ms	y	@	-inf	(pow (* y x) -1/2)
1.0ms	x	@	-inf	(pow (* y x) -1/2)
1.0ms	y	@	0	(pow (* y x) -1/2)

rewrite297.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2930×	`-lowering-.f32`
2930×	`-lowering-.f64`
2418×	`/-lowering-/.f32`
2418×	`/-lowering-/.f64`
1254×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	58
1	103	58
2	537	56
3	2939	56
0	8402	56

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1021

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y x)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 y (.f64 y x))) (.f64 x (.f64 y (.f64 y x))))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 y x)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 y x))) (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 y x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 y x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y x)) x) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))) (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) (*.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 y x)))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 x (.f64 y (*.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (.f64 (.f64 x (.f64 y (.f64 y x))) (.f64 x (.f64 y (*.f64 y x)))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y x))))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (.f64 y x))))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 (log.f64 (.f64 y x)) #s(literal 2 binary64)))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 (*.f64 y x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 y x)) #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (.f64 y x))))
(pow.f64 (.f64 (exp.f64 #s(literal -1/2 binary64)) (exp.f64 #s(literal -1/2 binary64))) (log.f64 (.f64 y x)))
(pow.f64 (.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 x (.f64 y (*.f64 y x))))) #s(literal -1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 y x) (.f64 x (.f64 y (.f64 y x)))) (*.f64 y x)) #s(literal -1/4 binary64))
(pow.f64 (.f64 (.f64 x (*.f64 y x)) y) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 y x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y x)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 (.f64 y x) #s(literal -1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal -3/4 binary64)))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 (.f64 x (.f64 (.f64 y x) (.f64 x (.f64 y (*.f64 y x))))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (.f64 y (.f64 (.f64 y x) (.f64 x (.f64 y (*.f64 y x))))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (.f64 y x) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y x) #s(literal -7/8 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal -1 binary64))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal -3/4 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/4 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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(pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 y x)))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 y x))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 (log.f64 (.f64 y x)) #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 x y)
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))

simplify188.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2404×	`sum3-define`
1936×	`fma-define`
1480×	`fmsub-define`
1380×	`fnmadd-define`
1066×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	1540
1	50	1516
2	100	1508
3	220	1508
4	529	1508
5	1286	1508
6	2178	1508
7	2705	1508
8	3682	1508
9	4891	1508
10	6917	1508
11	7021	1508
12	7054	1508
13	7054	1508
14	7056	1508
0	7056	1508

Stop Event

1×	iter limit
1×	saturated

Counts

324 → 324

Calls

Call 1

Inputs
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(sqrt (/ 1 (* x y)))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* x (pow z 2))
(.f64 x (.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 z z))))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval243.0ms (3%)

Compiler: Compiled 16910 to 1709 computations (89.9% saved)

prune263.0ms (3.2%)

Pruning

18 alts after pruning (5 fresh and 13 done)

	Pruned	Kept	Total
New	1416	1	1417
Fresh	0	4	4
Picked	0	5	5
Done	0	8	8
Total	1416	18	1434

Accuracy

100.0%

Counts

1434 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.0%	(pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	91.1%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z))) x)
✓	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)) (.f64 y z))
✓	55.7%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 z x))
✓	94.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) y)
	57.8%	(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 y x) z))
✓	55.1%	(/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (.f64 y z)))
✓	52.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z)))
✓	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	48.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 z z)))
✓	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
	38.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y x)) x) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y x)))
	34.5%	(/.f64 (.f64 y (-.f64 (.f64 x (.f64 z z)) x)) (.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 y (-.f64 (.f64 x (.f64 z z)) x))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	61.1%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
	61.1%	(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
✓	61.1%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 610 to 242 computations (60.3% saved)

regimes404.0ms (5%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

8 calls:

339.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
11.0ms	y
9.0ms	(/.f64 #s(literal 1 binary64) x)
9.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
97.9%	1	`x`
99.7%	2	`y`
99.7%	2	`z`
97.9%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
97.9%	1	`(/.f64 #s(literal 1 binary64) x)`
97.9%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.7%	2	`(*.f64 z z)`

Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes35.0ms (0.4%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	y
8.0ms	z
7.0ms	(*.f64 z z)
6.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.7%	2	`z`
99.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.7%	2	`(*.f64 z z)`
98.7%	2	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes51.0ms (0.6%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

7 calls:

12.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
10.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) x)
6.0ms	z
6.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
94.3%	1	`(/.f64 #s(literal 1 binary64) x)`
94.3%	1	`x`
98.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
97.0%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
99.4%	2	`z`
99.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.4%	2	`(*.f64 z z)`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes30.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	y
5.0ms	z
5.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
5.0ms	(*.f64 z z)
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.9%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
92.5%	2	`y`
97.9%	2	`z`
97.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.9%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes11.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	z
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
97.3%	2	`z`
97.3%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes13.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	(*.f64 z z)
4.0ms	z

Results

Accuracy	Segments	Branch
98.4%	3	`z`
98.4%	3	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
64.6%	2	`x`
64.6%	2	`(/.f64 #s(literal 1 binary64) x)`
93.7%	2	`z`
93.7%	2	`(*.f64 z z)`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes21.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
3.0ms	y
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
66.1%	2	`y`
90.0%	2	`z`
90.0%	2	`(*.f64 z z)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes6.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
90.0%	2	`z`
90.0%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))

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

Calls

4 calls:

3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
61.2%	1	`(/.f64 #s(literal 1 binary64) x)`
61.2%	1	`x`
61.2%	1	`y`
61.2%	1	`z`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))

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

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
61.1%	1	`z`
61.1%	1	`y`
61.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	6.358967810273299e+176	3.539990176921835e+178

Results

1.0ms

16×

valid

Compiler

Compiled 51 to 34 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

const: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2422036262209465e+252	3.528974868035254e+253

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2422036262209465e+252	3.528974868035254e+253

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.623995027302014e+79	4.0337056073659043e+80

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.02532619940514461	82.63742619868295

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2422036262209465e+252	3.528974868035254e+253
0.0ms	0.02532619940514461	82.63742619868295

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.02532619940514461	82.63742619868295

Results

8.0ms

128×

valid

Compiler

Compiled 180 to 134 computations (25.6% saved)

Precisions

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

ival-div: 2.0ms (53.4% of total)

ival-add: 1.0ms (26.7% of total)

ival-mult: 1.0ms (26.7% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.02532619940514461	82.63742619868295

Results

8.0ms

128×

valid

Compiler

Compiled 180 to 134 computations (25.6% saved)

Precisions

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

ival-div: 2.0ms (52.6% of total)

ival-add: 1.0ms (26.3% of total)

ival-mult: 1.0ms (26.3% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.02532619940514461	82.63742619868295

Results

13.0ms

128×

valid

Compiler

Compiled 180 to 134 computations (25.6% saved)

Precisions

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

ival-add: 6.0ms (68.2% of total)

ival-div: 2.0ms (22.7% of total)

ival-mult: 1.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	230
1	69	230

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 1000000000000000007448980502074319891441994938583153872359642541312639852467816160263719876373907058408465602602784646283725433832809773183090569241116238837096538897360439214080 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) y))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000198304056105996818023840404684325430589176790601503084399959067474819558151731455507853638719703242991173154673528045310795668595749431124176653338683260558558115888674688541767725760824071926806374482120168847930635477150456215142137856 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (*.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000198304056105996818023840404684325430589176790601503084399959067474819558151731455507853638719703242991173154673528045310795668595749431124176653338683260558558115888674688541767725760824071926806374482120168847930635477150456215142137856 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (*.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 (.f64 z z) #s(literal 2000000000000000198304056105996818023840404684325430589176790601503084399959067474819558151731455507853638719703242991173154673528045310795668595749431124176653338683260558558115888674688541767725760824071926806374482120168847930635477150456215142137856 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (.f64 y z)))))
(if (<=.f64 (.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))

Outputs
(if (<=.f64 y #s(literal 1000000000000000007448980502074319891441994938583153872359642541312639852467816160263719876373907058408465602602784646283725433832809773183090569241116238837096538897360439214080 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) y))
(if (<=.f64 y #s(literal 1000000000000000007448980502074319891441994938583153872359642541312639852467816160263719876373907058408465602602784646283725433832809773183090569241116238837096538897360439214080 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) y))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000198304056105996818023840404684325430589176790601503084399959067474819558151731455507853638719703242991173154673528045310795668595749431124176653338683260558558115888674688541767725760824071926806374482120168847930635477150456215142137856 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (*.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000198304056105996818023840404684325430589176790601503084399959067474819558151731455507853638719703242991173154673528045310795668595749431124176653338683260558558115888674688541767725760824071926806374482120168847930635477150456215142137856 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))) y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000198304056105996818023840404684325430589176790601503084399959067474819558151731455507853638719703242991173154673528045310795668595749431124176653338683260558558115888674688541767725760824071926806374482120168847930635477150456215142137856 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (*.f64 z x)))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 (.f64 z z) #s(literal 2000000000000000198304056105996818023840404684325430589176790601503084399959067474819558151731455507853638719703242991173154673528045310795668595749431124176653338683260558558115888674688541767725760824071926806374482120168847930635477150456215142137856 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (.f64 y z)))))
(if (<=.f64 (.f64 z z) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 (.f64 z z) #s(literal 2000000000000000198304056105996818023840404684325430589176790601503084399959067474819558151731455507853638719703242991173154673528045310795668595749431124176653338683260558558115888674688541767725760824071926806374482120168847930635477150456215142137856 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 y z) x))))
(if (<=.f64 (.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness1.2s (14.6%)

Rules

3876×	`-lowering-.f32`
3876×	`-lowering-.f64`
3648×	`/-lowering-/.f32`
3648×	`/-lowering-/.f64`
3406×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	1540
1	164	1425
2	481	1417
3	1952	1385
4	6090	1385
0	8092	1385
0	22	100
1	146	89
2	1118	88
0	8301	88
0	9	10
1	24	9
2	47	9
3	110	9
4	178	9
5	247	9
6	251	9
0	251	9
0	11	46
1	65	41
2	441	41
3	3547	41
0	8349	41

Stop Event

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

Compiler

Compiled 636 to 323 computations (49.2% saved)

preprocess338.0ms (4.2%)

Remove: (abs z)
Compiler: Compiled 1446 to 640 computations (55.7% saved)

analyze75.0ms (0.9%)

sample933.0ms (11.5%)

preprocess66.0ms (0.8%)

explain83.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize77.0ms (1%)

series15.0ms (0.2%)

rewrite344.0ms (4.2%)

simplify250.0ms (3.1%)

eval203.0ms (2.5%)

prune326.0ms (4%)

simplify14.0ms (0.2%)

localize103.0ms (1.3%)

series33.0ms (0.4%)

rewrite406.0ms (5%)

simplify287.0ms (3.5%)

eval349.0ms (4.3%)

prune154.0ms (1.9%)

simplify44.0ms (0.5%)

localize106.0ms (1.3%)

series13.0ms (0.2%)

rewrite324.0ms (4%)

simplify270.0ms (3.3%)

eval155.0ms (1.9%)

prune171.0ms (2.1%)

simplify12.0ms (0.2%)

localize104.0ms (1.3%)

series13.0ms (0.2%)

rewrite297.0ms (3.7%)

simplify188.0ms (2.3%)

eval243.0ms (3%)

prune263.0ms (3.2%)

regimes404.0ms (5%)

regimes35.0ms (0.4%)

regimes51.0ms (0.6%)

regimes30.0ms (0.4%)

regimes11.0ms (0.1%)

regimes13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes21.0ms (0.3%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

bsearch2.0ms (0%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

bsearch13.0ms (0.2%)

bsearch18.0ms (0.2%)

simplify9.0ms (0.1%)

soundness1.2s (14.6%)

preprocess338.0ms (4.2%)

end0.0ms (0%)

Profiling