Metrics for Rump's expression from Stadtherr's award speech

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 10 to 8 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

const: 0.0ms (0% of total)

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

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

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

sample813.0ms (16.5%)

Results

634.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

...c/correct-round.rkt:119:19: 198.0ms (64.3% of total)

ival-==: 80.0ms (26% of total)

ival-and: 16.0ms (5.2% of total)

const: 10.0ms (3.2% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess218.0ms (4.4%)

Algorithm

2×	egg-herbie

Rules

3034×	`+-lowering-+.f64`
3034×	`+-lowering-+.f32`
1936×	`-lowering-.f32`
1936×	`-lowering-.f64`
1798×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
0	30	38
1	76	36
2	218	35
3	760	35
4	2799	34
5	4881	34
6	7798	34
0	8509	34

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y)))

Outputs

(+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y)))

(+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 #s(literal 11 binary64) (*.f64 x (*.f64 y y)))) (+.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (-.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal 2 binary64)) y))))

Call 2

Inputs
-54767/66192
-54767/66192
-54767/66192
(neg -54767/66192)
(neg -54767/66192)
-54767/66192

Outputs
-54767/66192
#s(literal -54767/66192 binary64)
-54767/66192
#s(literal -54767/66192 binary64)
-54767/66192
#s(literal -54767/66192 binary64)
(neg -54767/66192)
#s(literal 54767/66192 binary64)
(neg -54767/66192)
#s(literal 54767/66192 binary64)
-54767/66192
#s(literal -54767/66192 binary64)

Symmetry

(abs x)

(abs y)

(sort x y)

explain319.0ms (6.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))))`
-	-	`x`
-	-	`(pow.f64 y #s(literal 6 binary64))`
-	-	`#s(literal 11 binary64)`
-	-	`(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))`
-	-	`(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))`
-	-	`(-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64)))`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 x (*.f64 #s(literal 2 binary64) y))`
-	-	`#s(literal 6 binary64)`
-	-	`(*.f64 x x)`
-	-	`(.f64 (.f64 #s(literal 11 binary64) x) x)`
-	-	`#s(literal 4 binary64)`
-	-	`(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))`
-	-	`(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))`
-	-	`(-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))`
-	-	`(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))`
-	-	`#s(literal 1335/4 binary64)`
-	-	`(*.f64 #s(literal 11 binary64) x)`
-	-	`#s(literal 121 binary64)`
-	-	`(pow.f64 y #s(literal 8 binary64))`
-	-	`(.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))`
-	-	`y`
-	-	`(.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y)`
-	-	`(.f64 (.f64 (*.f64 #s(literal 11 binary64) x) x) y)`
-	-	`(pow.f64 y #s(literal 4 binary64))`
-	-	`#s(literal 11/2 binary64)`
-	-	`#s(literal 8 binary64)`
-	-	`(*.f64 #s(literal 2 binary64) y)`
-	-	`(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))))`

Results

197.0ms

512×

valid

Compiler

Compiled 567 to 92 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 31.0ms (44.1% of total)

ival-pow: 17.0ms (24.2% of total)

ival-add: 9.0ms (12.8% of total)

ival-sub: 7.0ms (10% of total)

ival-div: 4.0ms (5.7% of total)

const: 2.0ms (2.8% of total)

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

eval1.0ms (0%)

Compiler: Compiled 45 to 31 computations (31.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.4%	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))

Status

Accuracy

Program

▶

1.4%

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))

Compiler

Compiled 45 to 30 computations (33.3% saved)

simplify204.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
✓	cost-diff	(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))))
✓	cost-diff	(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))
✓	cost-diff	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))

Rules

3034×	`+-lowering-+.f64`
3034×	`+-lowering-+.f32`
1936×	`-lowering-.f32`
1936×	`-lowering-.f64`
1798×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	232
1	76	218
2	218	216
3	760	216
4	2799	208
5	4881	208
6	7798	208
0	8509	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y)))
(+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8)))
(+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2)))
(* 1335/4 (pow y 6))
1335/4
(pow y 6)
y
6
(* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))
(* x x)
x
(- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2)
(- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4)))
(- (* (* (* (* 11 x) x) y) y) (pow y 6))
(* (* (* (* 11 x) x) y) y)
(* (* (* 11 x) x) y)
(* (* 11 x) x)
(* 11 x)
11
(* 121 (pow y 4))
121
(pow y 4)
4
2
(* 11/2 (pow y 8))
11/2
(pow y 8)
8
(/ x (* 2 y))
(* 2 y)

Outputs
(+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y)))
(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 #s(literal 11 binary64) (.f64 x (.f64 y y)))) (+.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (-.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8)))
(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 #s(literal 11 binary64) (.f64 x (.f64 y y)))) (+.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (-.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))))
(+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2)))
(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 #s(literal 11 binary64) (.f64 x (.f64 y y)))) (+.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (-.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64)))))))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
1335/4
#s(literal 1335/4 binary64)
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
y
6
#s(literal 6 binary64)
(* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 #s(literal 11 binary64) (.f64 x (.f64 y y)))) (+.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (-.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64))))))
(* x x)
(*.f64 x x)
x
(- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2)
(+.f64 (.f64 x (.f64 #s(literal 11 binary64) (.f64 x (.f64 y y)))) (+.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (-.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64)))))
(- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4)))
(-.f64 (-.f64 (.f64 x (.f64 #s(literal 11 binary64) (.f64 x (.f64 y y)))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(- (* (* (* (* 11 x) x) y) y) (pow y 6))
(-.f64 (.f64 x (.f64 #s(literal 11 binary64) (.f64 x (.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))
(* (* (* (* 11 x) x) y) y)
(.f64 x (.f64 #s(literal 11 binary64) (.f64 x (.f64 y y))))
(* (* (* 11 x) x) y)
(.f64 x (.f64 x (*.f64 y #s(literal 11 binary64))))
(* (* 11 x) x)
(.f64 x (.f64 x #s(literal 11 binary64)))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
11
#s(literal 11 binary64)
(* 121 (pow y 4))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
121
#s(literal 121 binary64)
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
4
#s(literal 4 binary64)
2
#s(literal 2 binary64)
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
11/2
#s(literal 11/2 binary64)
(pow y 8)
(pow.f64 y #s(literal 8 binary64))
8
#s(literal 8 binary64)
(/ x (* 2 y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))

localize131.0ms (2.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 11 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)

Results

92.0ms

256×

valid

Compiler

Compiled 261 to 31 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 18.0ms (48.5% of total)

ival-pow: 9.0ms (24.2% of total)

ival-sub: 4.0ms (10.8% of total)

ival-add: 3.0ms (8.1% of total)

ival-div: 2.0ms (5.4% of total)

const: 1.0ms (2.7% of total)

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

series45.0ms (0.9%)

Counts

8 → 132

Calls

Call 1

Inputs
#<alt (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y)))>
#<alt (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8)))>
#<alt (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2)))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 2 y)>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11 x)>
#<alt (* 121 (pow y 4))>

Outputs
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y)>
#<alt (/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y)>
#<alt (/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y)>
#<alt (* 11/2 (pow y 8))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))>
#<alt (* 11/2 (pow y 8))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))>
#<alt (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))>
#<alt (+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))))>
#<alt (+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y))))))>
#<alt (+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y))))))>
#<alt (* 11 (* (pow x 4) (pow y 2)))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))>
#<alt (* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* 11 (* (pow x 4) (pow y 2)))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))>
#<alt (* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* -2 (pow x 2))>
#<alt (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2))))>
#<alt (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4)))))>
#<alt (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* 11 (pow x 4)) (* (pow y 2) (+ (* -121 (pow x 2)) (* (pow y 2) (+ 1335/4 (* -1 (pow x 2)))))))))>
#<alt (* 11/2 (pow y 8))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))>
#<alt (* 11/2 (pow y 8))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))>
#<alt (* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))>
#<alt (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))>
#<alt (+ (* -1 (* (pow x 2) (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))))>
#<alt (+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2)))))))>
#<alt (+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2)))))))>
#<alt (* 11 (* (pow x 4) (pow y 2)))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))>
#<alt (* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* 11 (* (pow x 4) (pow y 2)))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))>
#<alt (* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* -2 (pow x 2))>
#<alt (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2))))>
#<alt (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4)))))>
#<alt (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* 11 (pow x 4)) (* (pow y 2) (+ (* -121 (pow x 2)) (* (pow y 2) (+ 1335/4 (* -1 (pow x 2)))))))))>
#<alt (* (pow y 6) (+ 1335/4 (* -1 (pow x 2))))>
#<alt (* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (* -1 (pow x 2)))))>
#<alt (* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4)))))))>
#<alt (* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -2 (/ (pow x 2) (pow y 6))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4))))))))>
#<alt (* (pow y 6) (+ 1335/4 (* -1 (pow x 2))))>
#<alt (* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (* -1 (pow x 2)))))>
#<alt (* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4)))))))>
#<alt (* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -2 (/ (pow x 2) (pow y 6))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4))))))))>
#<alt (* 1335/4 (pow y 6))>
#<alt (+ (* -1 (* (pow x 2) (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1335/4 (pow y 6)))>
#<alt (+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))))>
#<alt (+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))))>
#<alt (* 11 (* (pow x 4) (pow y 2)))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))>
#<alt (* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* 11 (* (pow x 4) (pow y 2)))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))>
#<alt (* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 1335/4 (pow y 6))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11/2 (pow y 8))>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 11 x)>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>
#<alt (* 121 (pow y 4))>

Calls

33 calls:

Time	Variable		Point	Expression
31.0ms	y	@	0	(* 121 (pow y 4))
1.0ms	x	@	inf	(* 11 x)
1.0ms	y	@	0	(+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y)))
1.0ms	y	@	inf	(+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y)))
1.0ms	x	@	0	(+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8)))

rewrite235.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1954×	`-lowering-.f32`
1954×	`-lowering-.f64`
1512×	`+-lowering-+.f64`
1512×	`+-lowering-+.f32`
1416×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	119
1	92	111
2	303	111
3	1186	111
4	4981	108
0	8077	108

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 183

Calls

Call 1

Inputs
(+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y)))
(+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8)))
(+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2)))
(* 1335/4 (pow y 6))
(* 2 y)
(* 11/2 (pow y 8))
(* 11 x)
(* 121 (pow y 4))

Outputs
(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y))))
(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y)))
(+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64))))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(+.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64))))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))))
(+.f64 (-.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal 2 binary64)))))))
(+.f64 (+.f64 (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64))))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y)))
(+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y)))))
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y)))))
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y))))
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (-.f64 (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))) (/.f64 (/.f64 x #s(literal -2 binary64)) y)))
(+.f64 (-.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (+.f64 (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64))))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))))
(+.f64 (+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal 2 binary64))))))
(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (.f64 x (+.f64 (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))
(+.f64 (.f64 (.f64 x x) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64))) (+.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y))))))
(+.f64 (.f64 x (.f64 x (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y)))))
(+.f64 (.f64 x (.f64 x (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))))) (+.f64 (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y))))))
(+.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) #s(literal -2 binary64)))) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y)))))
(+.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x #s(literal -2 binary64)) y))))))
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(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))))))) (.f64 (.f64 x x) #s(literal -2 binary64)))
(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64)))))))
(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (pow.f64 y #s(literal 6 binary64))))) (.f64 x (.f64 x (+.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) #s(literal -2 binary64)))))
(-.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64))))))
(-.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (*.f64 x x)))) #s(literal 2 binary64))))))
(fma.f64 x (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))))
(fma.f64 x (.f64 x (+.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(fma.f64 (.f64 x x) (+.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(fma.f64 (.f64 x x) (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64))) (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))))
(fma.f64 (+.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 x x) (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(fma.f64 (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64))) (.f64 x x) (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))))
(fma.f64 (.f64 x (+.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) #s(literal 2 binary64)))) x (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))))
(fma.f64 (.f64 x (+.f64 (.f64 #s(literal 11 binary64) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) (pow.f64 y #s(literal 6 binary64))))) x (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 y #s(literal -2 binary64)))
(/.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal -2 binary64)) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))
(.f64 #s(literal -2 binary64) (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 y #s(literal -2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) y)
(*.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal -2 binary64))))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 11 binary64)))
(neg.f64 (*.f64 #s(literal 11 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 x #s(literal 11 binary64))
(*.f64 #s(literal 11 binary64) x)
(.f64 (.f64 x #s(literal 11 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 11 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 11 binary64)))
(*.f64 #s(literal -11 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)))
(neg.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)))
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(.f64 (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -121 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -121 binary64))

simplify313.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

3398×	`+-lowering-+.f64`
3398×	`+-lowering-+.f32`
2852×	`-lowering-.f32`
2852×	`-lowering-.f64`
2266×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	2072
1	561	1845
2	2131	1798
3	7980	1781
0	8861	1781

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 1/2 (/ x y))
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y)
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y)
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y)
(* 11/2 (pow y 8))
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))
(* 11/2 (pow y 8))
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))
(+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))))
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y))))))
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y))))))
(* 11 (* (pow x 4) (pow y 2)))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* 11 (* (pow x 4) (pow y 2)))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* -2 (pow x 2))
(+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2))))
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4)))))
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* 11 (pow x 4)) (* (pow y 2) (+ (* -121 (pow x 2)) (* (pow y 2) (+ 1335/4 (* -1 (pow x 2)))))))))
(* 11/2 (pow y 8))
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))
(* 11/2 (pow y 8))
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))
(+ (* -1 (* (pow x 2) (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))))
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2)))))))
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2)))))))
(* 11 (* (pow x 4) (pow y 2)))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* 11 (* (pow x 4) (pow y 2)))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* -2 (pow x 2))
(+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2))))
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4)))))
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* 11 (pow x 4)) (* (pow y 2) (+ (* -121 (pow x 2)) (* (pow y 2) (+ 1335/4 (* -1 (pow x 2)))))))))
(* (pow y 6) (+ 1335/4 (* -1 (pow x 2))))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (* -1 (pow x 2)))))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4)))))))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -2 (/ (pow x 2) (pow y 6))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4))))))))
(* (pow y 6) (+ 1335/4 (* -1 (pow x 2))))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (* -1 (pow x 2)))))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4)))))))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -2 (/ (pow x 2) (pow y 6))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4))))))))
(* 1335/4 (pow y 6))
(+ (* -1 (* (pow x 2) (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1335/4 (pow y 6)))
(+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))))
(+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))))
(* 11 (* (pow x 4) (pow y 2)))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* 11 (* (pow x 4) (pow y 2)))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 1335/4 (pow y 6))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11/2 (pow y 8))
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 11 x)
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))
(* 121 (pow y 4))

Outputs
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (.f64 x (.f64 x #s(literal -2 binary64))))) y)
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))))) y)
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -121 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 11 binary64))))))))) y)
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 11/2 binary64) (-.f64 (/.f64 #s(literal 1335/4 binary64) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y)))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 #s(literal 11/2 binary64) (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 11/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1335/4 binary64) (.f64 y y)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 11 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 11/2 binary64) (-.f64 (/.f64 #s(literal 1335/4 binary64) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y)))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 #s(literal 11/2 binary64) (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 11/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1335/4 binary64) (.f64 y y)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 11 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))
(+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))))
(+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))))
(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y))))))
(+.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1335/4 binary64) (.f64 x x)))) (+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y))))))
(+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (+.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1335/4 binary64) (.f64 x x)))) (+.f64 (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(* 11 (* (pow x 4) (pow y 2)))
(.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))) (.f64 x x)) (.f64 y (.f64 y #s(literal 11 binary64)))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (.f64 x x))))) (-.f64 (/.f64 (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 x x))))))
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (-.f64 (/.f64 (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x x))))) (+.f64 (/.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (*.f64 x x))))))))
(* 11 (* (pow x 4) (pow y 2)))
(.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))) (.f64 x x)) (.f64 y (.f64 y #s(literal 11 binary64)))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (.f64 x x))))) (-.f64 (/.f64 (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 x x))))))
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))) x)) (.f64 x (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x x)))))))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2))))
(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64))))))
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4)))))
(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -121 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 11 binary64)))))))
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* 11 (pow x 4)) (* (pow y 2) (+ (* -121 (pow x 2)) (* (pow y 2) (+ 1335/4 (* -1 (pow x 2)))))))))
(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 11 binary64)))) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) #s(literal -121 binary64)) (.f64 y (.f64 y (-.f64 #s(literal 1335/4 binary64) (*.f64 x x)))))))))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 11/2 binary64) (-.f64 (/.f64 #s(literal 1335/4 binary64) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y)))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 #s(literal 11/2 binary64) (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 11/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1335/4 binary64) (.f64 y y)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 11 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 11/2 binary64) (-.f64 (/.f64 #s(literal 1335/4 binary64) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y)))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 #s(literal 11/2 binary64) (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)))))
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2))))))))
(.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 11/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1335/4 binary64) (.f64 y y)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 11 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))
(+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))))
(+ (* -1 (* (pow x 2) (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))))
(+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1335/4 binary64) (.f64 x x)))))
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2)))))))
(+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (+.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1335/4 binary64) (.f64 x x)))) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))))
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2)))))))
(+.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (+.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1335/4 binary64) (.f64 x x)))) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))))
(* 11 (* (pow x 4) (pow y 2)))
(.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))) (.f64 x x)) (.f64 y (.f64 y #s(literal 11 binary64)))))
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (-.f64 (+.f64 (/.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 #s(literal 121 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 x x)))))))
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (-.f64 (+.f64 (/.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 #s(literal 121 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 x x)))))))
(* 11 (* (pow x 4) (pow y 2)))
(.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))) (.f64 x x)) (.f64 y (.f64 y #s(literal 11 binary64)))))
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (-.f64 (+.f64 (/.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 #s(literal 121 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 x x)))))))
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (-.f64 (+.f64 (/.f64 (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 #s(literal 121 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 x x)))))))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2))))
(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64))))))
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4)))))
(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -121 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 11 binary64)))))))
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* 11 (pow x 4)) (* (pow y 2) (+ (* -121 (pow x 2)) (* (pow y 2) (+ 1335/4 (* -1 (pow x 2)))))))))
(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 11 binary64)))) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x x) #s(literal -121 binary64)) (.f64 y (.f64 y (-.f64 #s(literal 1335/4 binary64) (*.f64 x x)))))))))
(* (pow y 6) (+ 1335/4 (* -1 (pow x 2))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1335/4 binary64) (.f64 x x)))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (* -1 (pow x 2)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -121 binary64) y) y)))))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4)))))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -121 binary64) y) y))) (/.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 11 binary64)))) (pow.f64 y #s(literal 4 binary64))))))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -2 (/ (pow x 2) (pow y 6))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4))))))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 11 binary64)))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal -121 binary64) y) y) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 x x)))))
(* (pow y 6) (+ 1335/4 (* -1 (pow x 2))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1335/4 binary64) (.f64 x x)))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (* -1 (pow x 2)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -121 binary64) y) y)))))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4)))))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -121 binary64) y) y))) (/.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 11 binary64)))) (pow.f64 y #s(literal 4 binary64))))))
(* (pow y 6) (+ 1335/4 (+ (* -121 (/ (pow x 2) (pow y 2))) (+ (* -2 (/ (pow x 2) (pow y 6))) (+ (* -1 (pow x 2)) (* 11 (/ (pow x 4) (pow y 4))))))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1335/4 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 11 binary64)))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal -121 binary64) y) y) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 x x)))))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(+ (* -1 (* (pow x 2) (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1335/4 (pow y 6)))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1335/4 binary64) (*.f64 x x))))
(+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))))
(+.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1335/4 binary64) (.f64 x x)))) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (*.f64 x #s(literal 11 binary64))))))
(+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))))
(+.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1335/4 binary64) (.f64 x x)))) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (*.f64 x #s(literal 11 binary64))))))
(* 11 (* (pow x 4) (pow y 2)))
(.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))) (.f64 x x)) (.f64 y (.f64 y #s(literal 11 binary64)))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (-.f64 (/.f64 (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x x)))))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (-.f64 (/.f64 (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x x)))))))
(* 11 (* (pow x 4) (pow y 2)))
(.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x (.f64 x #s(literal 11 binary64)))))
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))) (.f64 x x)) (.f64 y (.f64 y #s(literal 11 binary64)))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (-.f64 (/.f64 (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x x)))))))
(* (pow x 4) (- (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4)))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 y (.f64 y #s(literal 11 binary64))) (-.f64 (/.f64 (.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x x)))))))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 1335/4 (pow y 6))
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11/2 (pow y 8))
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 11 x)
(*.f64 x #s(literal 11 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))
(* 121 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))

eval50.0ms (1%)

Compiler: Compiled 13325 to 770 computations (94.2% saved)

prune31.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	313	2	315
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	314	2	316

Accuracy

11.0%

Counts

316 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.0%	(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
▶	1.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 x y))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 x (*.f64 #s(literal 2 binary64) y))
✓	cost-diff	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal -2 binary64)))
✓	cost-diff	(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) (/.f64 x y))

Rules

30×	`-lowering-.f32`
30×	`-lowering-.f64`
14×	`/-lowering-/.f32`
14×	`/-lowering-/.f64`
12×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	24	39
2	31	39
3	34	39
4	35	39
0	35	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 1/2 (/ x y))
1/2
(/ x y)
x
y
(+ (* x (* x -2)) (/ x (* 2 y)))
(* x (* x -2))
x
(* x -2)
-2
(/ x (* 2 y))
(* 2 y)
2
y

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

localize92.0ms (1.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 x y))

Results

79.0ms

256×

valid

Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions

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

ival-div: 13.0ms (62.2% of total)

ival-mult: 6.0ms (28.7% of total)

ival-add: 1.0ms (4.8% of total)

const: 1.0ms (4.8% of total)

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

series8.0ms (0.2%)

Counts

7 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* 1/2 (/ x y))
1.0ms	x	@	0	(* 1/2 (/ x y))
0.0ms	y	@	inf	(* 1/2 (/ x y))
0.0ms	y	@	0	(* 1/2 (/ x y))
0.0ms	x	@	-inf	(* 1/2 (/ x y))

rewrite455.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`-lowering-.f32`
1520×	`-lowering-.f64`
1252×	`fma-lowering-fma.f32`
1252×	`fma-lowering-fma.f64`
1208×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	38	32
2	147	31
3	575	31
4	1865	31
5	6435	31
0	8025	31

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 501

Calls

Call 1

Inputs
(* 1/2 (/ x y))
(/ x y)
(+ (* x (* x -2)) (/ x (* 2 y)))
(* x (* x -2))
(* x -2)
(/ x (* 2 y))
(* 2 y)

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

simplify375.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

4648×	`-lowering-.f32`
4648×	`-lowering-.f64`
3468×	`cube-prod`
2112×	`/-lowering-/.f32`
2112×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	630
1	67	611
2	119	611
3	197	611
4	345	608
5	650	608
6	1420	608
7	2982	608
8	3186	608
9	3443	608
10	3618	608
11	3776	608
12	3958	608
13	4183	608
14	4423	608
15	4700	608
16	5004	608
17	5339	608
18	5701	608
19	5913	608
20	6035	608
21	6127	608
22	6219	608
23	6311	608
24	6743	608
25	7393	608
26	7991	608
0	8039	608

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval73.0ms (1.5%)

Compiler: Compiled 8138 to 920 computations (88.7% saved)

prune86.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	631	2	633
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	633	2	635

Accuracy

11.0%

Counts

635 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.0%	(.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)
▶	11.0%	(.f64 x (.f64 x #s(literal -2 binary64)))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	(.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)
✓	cost-diff	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal -2 binary64)))

Rules

30×	`-lowering-.f32`
30×	`-lowering-.f64`
28×	`fma-define`
20×	`fma-lowering-fma.f32`
20×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	16	33
2	25	33
3	39	33
4	41	33
5	43	33
6	44	33
0	44	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (* x -2))
x
(* x -2)
-2
(* (+ (* x -2) (/ 1/2 y)) x)
(+ (* x -2) (/ 1/2 y))
(* x -2)
x
-2
(/ 1/2 y)
1/2
y

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

localize45.0ms (0.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))

Results

32.0ms

256×

valid

Compiler

Compiled 39 to 10 computations (74.4% saved)

Precisions

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

ival-mult: 5.0ms (55.1% of total)

ival-div: 2.0ms (22% of total)

ival-add: 1.0ms (11% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

5 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (+ (* x -2) (/ 1/2 y)) x)
0.0ms	x	@	0	(* (+ (* x -2) (/ 1/2 y)) x)
0.0ms	x	@	inf	(* (+ (* x -2) (/ 1/2 y)) x)
0.0ms	x	@	-inf	(* (+ (* x -2) (/ 1/2 y)) x)
0.0ms	y	@	inf	(* (+ (* x -2) (/ 1/2 y)) x)

rewrite124.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`sum5-define`
1088×	`sum3-define`
918×	`-lowering-.f32`
918×	`-lowering-.f64`
804×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	25	24
2	69	24
3	223	24
4	650	24
5	1474	24
6	7988	24
0	8002	24

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 192

Calls

Call 1

Inputs
(* x (* x -2))
(* x -2)
(* (+ (* x -2) (/ 1/2 y)) x)
(+ (* x -2) (/ 1/2 y))
(/ 1/2 y)

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

simplify149.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1438×	`fmsub-define`
1416×	`-lowering-.f32`
1416×	`-lowering-.f64`
1406×	`fnmsub-define`
1328×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	453
1	88	431
2	187	431
3	441	428
4	1111	428
5	3187	428
6	5767	428
0	8030	428

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval41.0ms (0.8%)

Compiler: Compiled 3170 to 480 computations (84.9% saved)

prune27.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	309	0	309
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	309	2	311

Accuracy

11.0%

Counts

311 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	11.0%	(.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)
✓	11.0%	(.f64 x (.f64 x #s(literal -2 binary64)))

Compiler

Compiled 93 to 53 computations (43% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(.f64 x (.f64 x #s(literal -2 binary64)))
(.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)
(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))

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

Calls

3 calls:

2.0ms

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y)))

2.0ms

Results

Accuracy	Segments	Branch
11.0%	1	`x`
11.0%	1	`y`
11.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))`

Compiler

Compiled 51 to 34 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(.f64 x (.f64 x #s(literal -2 binary64)))

Outputs
(.f64 x (.f64 x #s(literal -2 binary64)))

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
11.0%	1	`x`
11.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))

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

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
1.6%	1	`x`
1.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	16	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (20.5%)

Rules

4648×	`-lowering-.f32`
4648×	`-lowering-.f64`
3468×	`cube-prod`
3398×	`+-lowering-+.f64`
3398×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	38	32
2	147	31
3	575	31
4	1865	31
5	6435	31
0	8025	31
0	27	630
1	67	611
2	119	611
3	197	611
4	345	608
5	650	608
6	1420	608
7	2982	608
8	3186	608
9	3443	608
10	3618	608
11	3776	608
12	3958	608
13	4183	608
14	4423	608
15	4700	608
16	5004	608
17	5339	608
18	5701	608
19	5913	608
20	6035	608
21	6127	608
22	6219	608
23	6311	608
24	6743	608
25	7393	608
26	7991	608
0	8039	608
0	165	2072
1	561	1845
2	2131	1798
3	7980	1781
0	8861	1781

Stop Event

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

Compiler

Compiled 72 to 47 computations (34.7% saved)

preprocess51.0ms (1%)

Remove

(abs y)

(abs x)

Compiler

Compiled 308 to 210 computations (31.8% saved)

Rump's expression from Stadtherr's award speech

analyze0.0ms (0%)

sample813.0ms (16.5%)

preprocess218.0ms (4.4%)

explain319.0ms (6.5%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify204.0ms (4.1%)

localize131.0ms (2.7%)

series45.0ms (0.9%)

rewrite235.0ms (4.8%)

simplify313.0ms (6.4%)

eval50.0ms (1%)

prune31.0ms (0.6%)

simplify6.0ms (0.1%)

localize92.0ms (1.9%)

series8.0ms (0.2%)

rewrite455.0ms (9.2%)

simplify375.0ms (7.6%)

eval73.0ms (1.5%)

prune86.0ms (1.7%)

simplify6.0ms (0.1%)

localize45.0ms (0.9%)

series5.0ms (0.1%)

rewrite124.0ms (2.5%)

simplify149.0ms (3%)

eval41.0ms (0.8%)

prune27.0ms (0.5%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.0s (20.5%)

preprocess51.0ms (1%)

end0.0ms (0%)

Profiling