Metrics for Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample797.0ms (6.7%)

Results

498.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-mult: 171.0ms (61.5% of total)

ival-sub: 93.0ms (33.4% of total)

const: 11.0ms (4% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess74.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

678×	`unsub-neg`
464×	`accelerator-lowering-fma.f32`
464×	`accelerator-lowering-fma.f64`
422×	`distribute-lft-in`
294×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	60	44
2	225	42
3	761	42
4	1291	42
5	1904	42
6	1911	42
7	1911	42
0	6	7
1	14	7
2	37	7
3	77	7
4	167	7
5	244	7
6	352	7
7	541	7
8	658	7
9	695	7
0	695	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (* x y) (- 1 y))

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

Call 2

Inputs
(* (* x y) (- 1 y))
(* (* (neg x) y) (- 1 y))
(* (* x (neg y)) (- 1 (neg y)))
(neg (* (* (neg x) y) (- 1 y)))
(neg (* (* x (neg y)) (- 1 (neg y))))
(* (* y x) (- 1 x))

Outputs
(* (* x y) (- 1 y))
(* x (- y (* y y)))
(* (* (neg x) y) (- 1 y))
(* x (- (* y y) y))
(* (* x (neg y)) (- 1 (neg y)))
(* (* x y) (- -1 y))
(neg (* (* (neg x) y) (- 1 y)))
(* x (- y (* y y)))
(neg (* (* x (neg y)) (- 1 (neg y))))
(* x (+ y (* y y)))
(* (* y x) (- 1 x))
(* x (- y (* x y)))

Symmetry

(negabs x)

explain49.0ms (0.4%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`#s(literal 1 binary64)`
-	-	`y`
-	-	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
-	-	`(-.f64 #s(literal 1 binary64) y)`

Results

32.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-mult: 8.0ms (65.5% of total)

ival-sub: 4.0ms (32.8% of total)

const: 1.0ms (8.2% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	94.1%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize158.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) y))
✓	accuracy	94.1%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))

Rules

464×	`accelerator-lowering-fma.f32`
464×	`accelerator-lowering-fma.f64`
280×	`-lowering-.f32`
280×	`-lowering-.f64`
174×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	16	34
2	38	34
3	76	34
4	164	34
5	241	34
6	350	34
7	539	34
8	655	34
9	692	34
0	692	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (* y (- 1 y)))
x
(* y (- 1 y))
y
(- 1 y)
1
(* (* x y) (- 1 y))
(* x y)
x
y
(- 1 y)
1

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

Results

62.0ms

256×

valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

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

ival-mult: 7.0ms (77.1% of total)

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

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite472.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4364×	`accelerator-lowering-fma.f32`
4364×	`accelerator-lowering-fma.f64`
4036×	`/-lowering-/.f32`
4036×	`/-lowering-/.f64`
3590×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	29	25
2	167	25
3	1378	25
0	9740	22

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 765

Calls

Call 1

Inputs
(* x (* y (- 1 y)))
(* y (- 1 y))
(- 1 y)
(* (* x y) (- 1 y))
(* x y)

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

simplify466.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

5532×	`accelerator-lowering-fma.f32`
5532×	`accelerator-lowering-fma.f64`
3058×	`-lowering-.f32`
3058×	`-lowering-.f64`
1868×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	482
1	83	482
2	173	482
3	381	482
4	905	482
5	3821	482
6	7288	482
0	8180	482

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval138.0ms (1.2%)

Compiler: Compiled 33323 to 2267 computations (93.2% saved)

prune153.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1134	4	1138
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1135	5	1140

Accuracy

100.0%

Counts

1140 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.9%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y))) (+.f64 y #s(literal 1 binary64)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	67.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y))) y))))
▶	94.1%	(.f64 x (-.f64 y (.f64 y y)))
▶	56.9%	(*.f64 x y)

Compiler

Compiled 62 to 39 computations (37.1% saved)

localize508.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (*.f64 y y))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y))
✓	cost-diff	64	(neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y)))
✓	cost-diff	448	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y))) (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) y))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) y)))
✓	cost-diff	256	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y))) y))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 y (*.f64 y y))
✓	cost-diff	0	(.f64 x (-.f64 y (.f64 y y)))
✓	cost-diff	0	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y)))
✓	accuracy	98.1%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y))
✓	accuracy	92.7%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y))) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) y)))
✓	accuracy	94.1%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y))) y))))
✓	accuracy	64.1%	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 y (*.f64 y y))
✓	accuracy	94.1%	(.f64 x (-.f64 y (.f64 y y)))
✓	accuracy	100.0%	(*.f64 x y)

Rules

6058×	`accelerator-lowering-fma.f32`
6058×	`accelerator-lowering-fma.f64`
3810×	`-lowering-.f32`
3810×	`-lowering-.f64`
1372×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	154
1	67	152
2	209	140
3	841	137
4	3160	137
5	6419	137
0	8166	131

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

70.0ms

256×

valid

Compiler

Compiled 176 to 22 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 15.0ms (52.2% of total)

ival-div: 6.0ms (20.9% of total)

ival-add: 4.0ms (13.9% of total)

ival-sub: 3.0ms (10.4% of total)

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

const: 0.0ms (0% of total)

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

series69.0ms (0.6%)

Counts

13 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (neg (* (+ -1 (* y y)) (* x y))) (+ y 1))
3.0ms	y	@	-inf	(/ 1 (/ (- -1 (* y (+ y 1))) (* (+ -1 (* y (* y y))) y)))
2.0ms	x	@	0	(* x (/ 1 (/ (- -1 (* y (+ y 1))) (* (+ -1 (* y (* y y))) y))))
1.0ms	y	@	inf	(/ (- -1 (* y (+ y 1))) (* (+ -1 (* y (* y y))) y))
1.0ms	x	@	inf	(* x (/ 1 (/ (- -1 (* y (+ y 1))) (* (+ -1 (* y (* y y))) y))))

rewrite598.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

7726×	`accelerator-lowering-fma.f32`
7726×	`accelerator-lowering-fma.f64`
4678×	`-lowering-.f32`
4678×	`-lowering-.f64`
4060×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	86
1	139	85
2	1148	76
0	9109	74

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1508

Calls

Call 1

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

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 x y)
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 y x)
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) y)))
(.f64 #s(literal 1 binary64) (.f64 x y))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) x)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) y)
(+.f64 (.f64 x y) (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) (*.f64 x y))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) (*.f64 x y))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal -1 binary64) y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) y)))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal -1 binary64) y)))) (-.f64 #s(literal 0 binary64) y)) (.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal -1 binary64) y)))) (.f64 y (.f64 y (*.f64 y y)))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64)) (.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (.f64 y y)) (.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 (.f64 x (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (*.f64 y y)))
(+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x y) (+.f64 y #s(literal -1 binary64)))) y) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal -1 binary64) y))))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) y))))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal -1 binary64) y))))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) y))))))
(+.f64 (.f64 (.f64 y y) (/.f64 (.f64 x (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))) (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y))))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (/.f64 (.f64 x (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y))))))
(+.f64 (.f64 y (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x y) (+.f64 y #s(literal -1 binary64))))) (.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (+.f64 y #s(literal -1 binary64))))
(fma.f64 x y (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))))
(fma.f64 x y (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 x y))
(fma.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) y)) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))))
(fma.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x))
(fma.f64 y x (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))))
(fma.f64 y x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x))
(fma.f64 y (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x y) (+.f64 y #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(fma.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))))
(fma.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x))
(fma.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) y) (.f64 x y))
(fma.f64 (.f64 y y) (/.f64 (.f64 x (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))))
(fma.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) y)) (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y y))))
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(fma.f64 (*.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (.f64 y (+.f64 (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) y #s(literal -1 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (/.f64 (.f64 y (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 y y) (-.f64 y (.f64 y (.f64 y (.f64 y y)))))) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y (+.f64 y #s(literal 1 binary64)))))))) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (/.f64 (.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) y)) y) (-.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)) (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y y) #s(literal 1 binary64)) (+.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal -1 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64)) (+.f64 (.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 y y))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 y y)) (-.f64 #s(literal -1 binary64) (.f64 y y))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 y y))))) (-.f64 #s(literal -1 binary64) (.f64 y y)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (neg.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 y y) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y)))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal -1 binary64) (.f64 y y)))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal -1 binary64) (.f64 y y))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 1 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 y y)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 1 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal 1 binary64))))

simplify462.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

11966×	`accelerator-lowering-fma.f32`
11966×	`accelerator-lowering-fma.f64`
2876×	`-lowering-.f32`
2876×	`-lowering-.f64`
1416×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1703
1	444	1589
2	1435	1458
3	5585	1458
0	8279	1429

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval254.0ms (2.1%)

Compiler: Compiled 43795 to 3479 computations (92.1% saved)

prune152.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1824	3	1827
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	1826	6	1832

Accuracy

100.0%

Counts

1832 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y))))
▶	93.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	94.1%	(.f64 x (-.f64 y (.f64 y y)))
✓	56.9%	(*.f64 x y)
▶	94.7%	(neg.f64 (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y)))

Compiler

Compiled 59 to 38 computations (35.6% saved)

localize279.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y))))
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y)
✓	cost-diff	128	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y))
✓	cost-diff	192	(neg.f64 (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	94.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y))))
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))))
✓	accuracy	94.1%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(neg.f64 (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y)
✓	accuracy	94.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y))

Rules

744×	`accelerator-lowering-fma.f32`
744×	`accelerator-lowering-fma.f64`
660×	`div-sub`
560×	`/-lowering-/.f32`
560×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	106
1	40	94
2	114	93
3	416	92
4	1139	92
5	2064	92
6	2446	92
7	2660	92
8	2695	92
9	2697	92
10	2705	92
11	2761	92
12	2781	92
13	2791	92
14	2821	92
15	2821	92
0	2821	92

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

47.0ms

256×

valid

Compiler

Compiled 106 to 16 computations (84.9% saved)

Precisions

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

ival-div: 13.0ms (58.1% of total)

ival-mult: 5.0ms (22.3% of total)

ival-sub: 3.0ms (13.4% of total)

ival-neg: 1.0ms (4.5% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Counts

11 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite576.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2620×	`-lowering-.f32`
2620×	`-lowering-.f64`
2058×	`accelerator-lowering-fma.f32`
2058×	`accelerator-lowering-fma.f64`
1860×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	95	76
2	588	71
3	5010	71
0	8967	62

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 2558

Calls

Call 1

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

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

simplify428.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

8696×	`accelerator-lowering-fma.f32`
8696×	`accelerator-lowering-fma.f64`
3050×	`-lowering-.f32`
3050×	`-lowering-.f64`
1500×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	1582
1	321	1572
2	834	1513
3	2531	1483
4	6168	1471
0	8183	1462

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval537.0ms (4.5%)

Compiler: Compiled 56623 to 5482 computations (90.3% saved)

prune362.0ms (3.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	3205	5	3210
Fresh	0	0	0
Picked	3	0	3
Done	0	3	3
Total	3208	8	3216

Accuracy

100.0%

Counts

3216 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.8%	(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) y))
▶	63.8%	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y))))
▶	59.6%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))
▶	56.7%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	94.1%	(.f64 x (-.f64 y (.f64 y y)))
✓	56.9%	(*.f64 x y)
▶	58.8%	(neg.f64 (.f64 x (.f64 y y)))

Compiler

Compiled 115 to 78 computations (32.2% saved)

localize315.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) y) y)
✓	cost-diff	0	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))
✓	cost-diff	-64	(neg.f64 (.f64 x (.f64 y y)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 x (.f64 y y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	128	(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y))))
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) y) y)
✓	accuracy	86.5%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(neg.f64 (.f64 x (.f64 y y)))
✓	accuracy	85.8%	(.f64 x (.f64 y y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) y))

Rules

794×	`times-frac`
788×	`div-sub`
744×	`accelerator-lowering-fma.f32`
744×	`accelerator-lowering-fma.f64`
560×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	96
1	48	94
2	111	92
3	296	92
4	612	90
5	1009	90
6	1407	90
7	2233	90
8	2868	90
9	3502	90
10	3546	90
11	3550	90
12	3550	90
13	3550	90
0	3550	87

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

93.0ms

256×

valid

Compiler

Compiled 100 to 18 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 52.0ms (84.9% of total)

ival-mult: 6.0ms (9.8% of total)

ival-add: 2.0ms (3.3% of total)

const: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

series22.0ms (0.2%)

Counts

13 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite401.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3098×	`/-lowering-/.f32`
3098×	`/-lowering-/.f64`
2428×	`-lowering-.f32`
2428×	`-lowering-.f64`
2280×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	106	63
2	636	62
3	4162	59
0	10055	55

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1174

Calls

Call 1

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

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

simplify514.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

11204×	`accelerator-lowering-fma.f32`
11204×	`accelerator-lowering-fma.f64`
2674×	`-lowering-.f32`
2674×	`-lowering-.f64`
1368×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1409
1	209	1400
2	521	1351
3	1356	1346
4	3380	1342
5	6630	1334
6	7948	1334
0	8017	1297

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval218.0ms (1.8%)

Compiler: Compiled 29574 to 3017 computations (89.8% saved)

prune253.0ms (2.1%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1842	8	1850
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	1844	14	1858

Accuracy

100.0%

Counts

1858 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.5%	(/.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal -1 binary64) y))
	64.6%	(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y))
	56.7%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
	64.6%	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y)))
	24.2%	(/.f64 y (/.f64 #s(literal -1 binary64) x))
✓	59.6%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))
✓	56.7%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
	24.2%	(/.f64 x (/.f64 #s(literal -1 binary64) y))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	94.1%	(.f64 x (-.f64 y (.f64 y y)))
✓	56.9%	(*.f64 x y)
	64.6%	(neg.f64 (.f64 (.f64 x y) y))
✓	58.8%	(neg.f64 (.f64 x (.f64 y y)))
	24.2%	(neg.f64 (*.f64 x y))

Compiler

Compiled 314 to 137 computations (56.4% saved)

regimes22.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
6.0ms	x
6.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes44.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
97.1%	2	`x`
99.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

Outputs
(neg.f64 (.f64 (.f64 x y) y))
(*.f64 x y)
(neg.f64 (.f64 (.f64 x y) y))

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
73.4%	2	`x`
98.3%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(neg.f64 (.f64 x (.f64 y y)))
(*.f64 x y)
(neg.f64 (.f64 x (.f64 y y)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
92.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

Outputs
(*.f64 x y)
(neg.f64 (*.f64 x y))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
56.9%	1	`x`
64.7%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes37.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

2 calls:

35.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
56.9%	1	`x`
56.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch15.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
12.0ms	5.747668859346767e+140	3.3414085987972995e+146
1.0ms	-9.363569840431581e+134	-1.5106593079346716e+128

Results

8.0ms

160×

valid

Compiler

Compiled 204 to 140 computations (31.4% saved)

Precisions

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

ival-mult: 2.0ms (56.1% of total)

ival-sub: 1.0ms (28.1% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.03854364477505296	173333078.28752822
14.0ms	-28.54917561920304	-1.4144606258832082e-8

Results

22.0ms

304×

valid

Compiler

Compiled 299 to 200 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (50.5% of total)

ival-sub: 6.0ms (43.3% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.03854364477505296	173333078.28752822
15.0ms	-28.54917561920304	-1.4144606258832082e-8

Results

18.0ms

304×

valid

Compiler

Compiled 299 to 200 computations (33.1% saved)

Precisions

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

ival-mult: 8.0ms (81.8% of total)

ival-sub: 2.0ms (20.4% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.03854364477505296	173333078.28752822

Results

8.0ms

160×

valid

Compiler

Compiled 144 to 100 computations (30.6% saved)

Precisions

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

ival-mult: 2.0ms (57.5% of total)

ival-sub: 1.0ms (28.8% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
14×	`distribute-lft-neg-in_binary64`
14×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	79
1	60	79
2	84	79
3	93	79
4	96	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (neg.f64 (.f64 (.f64 x y) y)) (if (<=.f64 y #s(literal 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y))) (neg.f64 (.f64 (.f64 x y) y))))
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 (.f64 (.f64 x y) y)) (if (<=.f64 y #s(literal 1 binary64)) (.f64 x y) (neg.f64 (.f64 (*.f64 x y) y))))
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 (.f64 x (.f64 y y))) (if (<=.f64 y #s(literal 1 binary64)) (.f64 x y) (neg.f64 (.f64 x (*.f64 y y)))))
(if (<=.f64 y #s(literal 1 binary64)) (.f64 x y) (neg.f64 (.f64 x y)))
(*.f64 x y)

Outputs
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (neg.f64 (.f64 (.f64 x y) y)) (if (<=.f64 y #s(literal 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y))) (neg.f64 (.f64 (.f64 x y) y))))
(if (or (<=.f64 y #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (not (<=.f64 y #s(literal 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y))) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 (.f64 (.f64 x y) y)) (if (<=.f64 y #s(literal 1 binary64)) (.f64 x y) (neg.f64 (.f64 (*.f64 x y) y))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y))) (*.f64 x y))
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 (.f64 x (.f64 y y))) (if (<=.f64 y #s(literal 1 binary64)) (.f64 x y) (neg.f64 (.f64 x (*.f64 y y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) (*.f64 x y))
(if (<=.f64 y #s(literal 1 binary64)) (.f64 x y) (neg.f64 (.f64 x y)))
(if (<=.f64 y #s(literal 1 binary64)) (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(*.f64 x y)

soundness3.2s (27.3%)

Rules

8696×	`accelerator-lowering-fma.f32`
8696×	`accelerator-lowering-fma.f64`
7726×	`accelerator-lowering-fma.f32`
7726×	`accelerator-lowering-fma.f64`
5532×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	1582
1	321	1572
2	834	1513
3	2531	1483
4	6168	1471
0	8183	1462
0	21	86
1	139	85
2	1148	76
0	9109	74
0	17	67
1	106	63
2	636	62
3	4162	59
0	10055	55
0	8	25
1	29	25
2	167	25
3	1378	25
0	9740	22
0	6	7
1	14	7
2	37	7
3	77	7
4	167	7
5	244	7
6	352	7
7	541	7
8	658	7
9	695	7
0	695	7
0	30	482
1	83	482
2	173	482
3	381	482
4	905	482
5	3821	482
6	7288	482
0	8180	482

Stop Event

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

Compiler

Compiled 259 to 142 computations (45.2% saved)

preprocess98.0ms (0.8%)

Remove: (negabs x)
Compiler: Compiled 288 to 140 computations (51.4% saved)

Iter	Nodes	Cost
0	8	34
1	16	34
2	38	34
3	76	34
4	164	34
5	241	34
6	350	34
7	539	34
8	655	34
9	692	34
0	692	34

Iter	Nodes	Cost
0	8	34
1	16	34
2	38	34
3	76	34
4	164	34
5	241	34
6	350	34
7	539	34
8	655	34
9	692	34
0	692	34

analyze0.0ms (0%)

sample797.0ms (6.7%)

preprocess74.0ms (0.6%)

explain49.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize158.0ms (1.3%)

series10.0ms (0.1%)

rewrite472.0ms (4%)

simplify466.0ms (3.9%)

eval138.0ms (1.2%)

prune153.0ms (1.3%)

localize508.0ms (4.3%)

series69.0ms (0.6%)

rewrite598.0ms (5%)

simplify462.0ms (3.9%)

eval254.0ms (2.1%)

prune152.0ms (1.3%)

localize279.0ms (2.4%)

series17.0ms (0.1%)

rewrite576.0ms (4.9%)

simplify428.0ms (3.6%)

eval537.0ms (4.5%)

prune362.0ms (3.1%)

localize315.0ms (2.7%)

series22.0ms (0.2%)

rewrite401.0ms (3.4%)

simplify514.0ms (4.3%)

eval218.0ms (1.8%)

prune253.0ms (2.1%)

regimes22.0ms (0.2%)

regimes44.0ms (0.4%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes6.0ms (0%)

regimes37.0ms (0.3%)

bsearch15.0ms (0.1%)

bsearch34.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch14.0ms (0.1%)

simplify13.0ms (0.1%)

soundness3.2s (27.3%)

preprocess98.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	34
1	16	34
2	38	34
3	76	34
4	164	34
5	241	34
6	350	34
7	539	34
8	655	34
9	692	34
0	692	34