Metrics for Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

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 12 to 8 computations (33.3% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (17.2%)

Results

427.0ms	6276×	0	valid
292.0ms	1816×	1	valid
36.0ms	164×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 379.0ms

ival-sub: 141.0ms (37.2% of total)

ival-add: 101.0ms (26.7% of total)

ival-mult: 80.0ms (21.1% of total)

backward-pass: 42.0ms (11.1% of total)

const: 14.0ms (3.7% of total)

Bogosity

preprocess166.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

2042×	`sum3-define`
1802×	`fmsub-define`
1670×	`fnmsub-define`
1610×	`sum5-define`
1538×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	48	51
2	158	48
3	800	48
4	5230	38
0	7	9
1	15	8
2	36	8
3	118	8
4	915	6
5	3648	6
0	8102	6

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

explain162.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
71	2	(3379863804.644731 -1.0619780964165828e-30)	-	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
0	0	-	-	`x`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))`
0	0	-	-	`y`
0	0	-	-	`(-.f64 #s(literal 1 binary64) y)`

Results

97.0ms	136×	1	valid
33.0ms	370×	0	valid
3.0ms	6×	2	valid

Compiler

Compiled 67 to 23 computations (65.7% saved)

Precisions

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

ival-sub: 8.0ms (34.6% of total)

ival-mult: 6.0ms (25.9% of total)

backward-pass: 4.0ms (17.3% of total)

ival-add: 4.0ms (17.3% of total)

const: 1.0ms (4.3% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

968×	`sum5-define`
710×	`sum3-define`
664×	`fnmadd-define`
480×	`sum4-define`
456×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	18	18
2	37	18
3	54	17
4	77	17
5	123	17
6	237	17
7	513	17
8	1190	17
9	2314	17
10	2606	17
11	2707	17
12	2710	17
0	2710	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize31.0ms (0.5%)

Localize:

Found 3 expressions of interest:

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

Results

23.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(+ 1 (* y (+ x -1)))
1.0ms	x	@	-inf	(+ 1 (* y (+ x -1)))
1.0ms	y	@	-inf	(+ 1 (* y (+ x -1)))
0.0ms	x	@	inf	(+ 1 (* y (+ x -1)))
0.0ms	y	@	0	(+ 1 (* y (+ x -1)))

rewrite358.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2300×	`-lowering-.f32`
2300×	`-lowering-.f64`
1686×	`fma-lowering-fma.f32`
1686×	`fma-lowering-fma.f64`
1564×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	43	14
2	364	14
3	4096	13
0	8143	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 202

Calls

Call 1

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

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

simplify137.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1786×	`-lowering-.f32`
1786×	`-lowering-.f64`
1342×	`sum4-define`
1182×	`sum3-define`
1152×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	290
1	131	271
2	410	248
3	1040	248
4	3466	248
5	6552	248
0	8126	248

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval71.0ms (1.1%)

Compiler: Compiled 5798 to 684 computations (88.2% saved)

prune48.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	255	7	262
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	255	8	263

Accuracy

100.0%

Counts

263 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.8%	(-.f64 #s(literal 1 binary64) y)
▶	84.1%	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))
	65.9%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
	78.5%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
▶	60.9%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
▶	39.8%	(*.f64 y x)
▶	40.9%	#s(literal 1 binary64)

Compiler

Compiled 139 to 91 computations (34.5% saved)

simplify171.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	384	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y (+.f64 #s(literal 1 binary64) x)))

Rules

2194×	`-lowering-.f32`
2194×	`-lowering-.f64`
1874×	`--lowering--.f32`
1874×	`--lowering--.f64`
1820×	`sum5-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	33	66
2	57	66
3	130	66
4	288	49
5	750	49
6	5241	49
0	8076	49

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize91.0ms (1.4%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 y (+.f64 #s(literal 1 binary64) x))
✓	accuracy	79.7%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y (+.f64 #s(literal 1 binary64) x)))

Results

71.0ms

256×

valid

Compiler

Compiled 69 to 15 computations (78.3% saved)

Precisions

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

ival-mult: 8.0ms (42.4% of total)

ival-add: 7.0ms (37.1% of total)

ival-div: 2.0ms (10.6% of total)

ival-sub: 1.0ms (5.3% of total)

const: 1.0ms (5.3% of total)

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

series11.0ms (0.2%)

Counts

9 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite337.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4256×	`-lowering-.f32`
4256×	`-lowering-.f64`
3472×	`/-lowering-/.f32`
3472×	`/-lowering-/.f64`
1938×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	93	37
2	808	36
0	8721	36

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 666

Calls

Call 1

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

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

simplify232.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2326×	`-lowering-.f32`
2326×	`-lowering-.f64`
1820×	`+-lowering-+.f64`
1820×	`+-lowering-+.f32`
1710×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	871
1	301	798
2	846	792
3	2999	775
0	8148	775

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval107.0ms (1.6%)

Compiler: Compiled 17003 to 1518 computations (91.1% saved)

prune89.0ms (1.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	832	2	834
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	834	8	842

Accuracy

100.0%

Counts

842 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.8%	(-.f64 #s(literal 1 binary64) y)
▶	48.7%	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y x)))
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
▶	78.5%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
▶	60.8%	(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	60.9%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	39.8%	(*.f64 y x)
✓	40.9%	#s(literal 1 binary64)

Compiler

Compiled 60 to 44 computations (26.7% saved)

simplify457.0ms (6.9%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y x)))
✓	cost-diff	128	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y x))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))

Rules

2282×	`-lowering-.f32`
2282×	`-lowering-.f64`
1864×	`fma-lowering-fma.f32`
1864×	`fma-lowering-fma.f64`
1772×	`sum4-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	34	55
2	79	55
3	208	55
4	537	51
5	1372	50
6	3774	50
0	8342	50

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize87.0ms (1.3%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y x)))
✓	accuracy	79.7%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 y x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))

Results

63.0ms

256×

valid

Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions

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

ival-mult: 8.0ms (37.5% of total)

ival-div: 7.0ms (32.8% of total)

ival-add: 6.0ms (28.1% of total)

const: 1.0ms (4.7% of total)

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

series7.0ms (0.1%)

Counts

10 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite374.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4356×	`-lowering-.f32`
4356×	`-lowering-.f64`
3932×	`/-lowering-/.f32`
3932×	`/-lowering-/.f64`
1580×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	100	41
2	860	41
0	9077	41

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 509

Calls

Call 1

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

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

simplify187.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2250×	`-lowering-.f32`
2250×	`-lowering-.f64`
1898×	`sum3-define`
1406×	`/-lowering-/.f32`
1406×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	867
1	243	724
2	684	658
3	2015	658
4	7550	658
0	8369	658

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval132.0ms (2%)

Compiler: Compiled 12598 to 1492 computations (88.2% saved)

prune85.0ms (1.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	687	2	689
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	689	8	697

Accuracy

100.0%

Counts

697 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.7%	(/.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))
✓	61.8%	(-.f64 #s(literal 1 binary64) y)
▶	62.5%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 y x)))
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
✓	78.5%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	60.9%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	39.8%	(*.f64 y x)
✓	40.9%	#s(literal 1 binary64)

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify160.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) x)
✓	cost-diff	128	(/.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 y x)))
✓	cost-diff	256	(.f64 (.f64 x x) (/.f64 y x))

Rules

2098×	`-lowering-.f32`
2098×	`-lowering-.f64`
1754×	`/-lowering-/.f32`
1754×	`/-lowering-/.f64`
1500×	`fnmadd-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	24	35
2	38	35
3	61	35
4	74	33
5	102	28
6	130	28
7	348	28
8	1181	28
9	4058	28
0	8197	28

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize86.0ms (1.3%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) x)
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 y x)))
✓	accuracy	63.5%	(.f64 (.f64 x x) (/.f64 y x))

Results

57.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

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

ival-div: 6.0ms (44.3% of total)

ival-mult: 4.0ms (29.6% of total)

ival-add: 3.0ms (22.2% of total)

const: 1.0ms (7.4% of total)

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

series3.0ms (0%)

Counts

7 → 132

Calls

Call 1

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

Calls

33 calls:

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

rewrite315.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2760×	`-lowering-.f32`
2760×	`-lowering-.f64`
2312×	`/-lowering-/.f32`
2312×	`/-lowering-/.f64`
1916×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	70	28
2	497	22
3	6007	22
0	8700	22

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 361

Calls

Call 1

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

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

simplify225.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1970×	`fnmsub-define`
1968×	`fmsub-define`
1708×	`fma-lowering-fma.f32`
1708×	`fma-lowering-fma.f64`
1688×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	451
1	114	421
2	282	400
3	595	400
4	1615	400
5	5939	400
0	8073	400

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

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

eval74.0ms (1.1%)

Compiler: Compiled 7226 to 935 computations (87.1% saved)

prune53.0ms (0.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	492	1	493
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	493	8	501

Accuracy

100.0%

Counts

501 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.7%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	61.8%	(-.f64 #s(literal 1 binary64) y)
✓	62.5%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 y x)))
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
✓	78.5%	(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓	60.9%	(*.f64 y (+.f64 x #s(literal -1 binary64)))
✓	39.8%	(*.f64 y x)
✓	40.9%	#s(literal 1 binary64)

Compiler

Compiled 164 to 74 computations (54.9% saved)

regimes22.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) y)
5.0ms	y
4.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	3	`x`
99.3%	3	`y`
99.3%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.1%	3	`x`
86.9%	3	`y`
86.5%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
86.1%	3	`x`
66.0%	2	`(-.f64 #s(literal 1 binary64) y)`
66.0%	2	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
65.9%	3	`y`
65.5%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
40.9%	1	`x`
40.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000109326885	1.0000946477462545
0.0ms	-223457745810220.5	-130.17348863990287

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch61.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	9.696942545770169e-53	8.085460580427904e-44
18.0ms	-3.388540011220418e-81	-9.607967835285442e-86

Results

40.0ms	136×	1	valid
9.0ms	136×	0	valid

Compiler

Compiled 220 to 181 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

backward-pass: 24.0ms (68.8% of total)

ival-sub: 5.0ms (14.3% of total)

ival-mult: 3.0ms (8.6% of total)

ival-add: 2.0ms (5.7% of total)

const: 1.0ms (2.9% of total)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.832682734478316e+37	1.0523274810865198e+39
19.0ms	-203805822735335.34	-12164640.99733025

Results

17.0ms	117×	1	valid
9.0ms	139×	0	valid

Compiler

Compiled 208 to 155 computations (25.5% saved)

Precisions

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

ival-sub: 6.0ms (43.6% of total)

ival-mult: 3.0ms (21.8% of total)

ival-add: 2.0ms (14.5% of total)

backward-pass: 2.0ms (14.5% of total)

const: 0.0ms (0% of total)

bsearch65.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	9.696942545770169e-53	8.085460580427904e-44
15.0ms	-4.169029332804509e-11	-3.086682786391647e-12

Results

44.0ms	119×	1	valid
10.0ms	121×	0	valid

Compiler

Compiled 166 to 131 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sub: 33.0ms (82.5% of total)

ival-mult: 3.0ms (7.5% of total)

backward-pass: 2.0ms (5% of total)

ival-add: 2.0ms (5% of total)

const: 0.0ms (0% of total)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	74
1	56	74
2	59	74
3	61	74
4	62	74

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -200000000000000 binary64)) (.f64 y (+.f64 x #s(literal -1 binary64))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4503824807351865/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -7048757218539003/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (.f64 y (+.f64 x #s(literal -1 binary64))) (if (<=.f64 y #s(literal 8222783733480945/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(literal 1 binary64) (.f64 y (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -15000000000 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 20499999999999998877374706206736646144 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(if (<=.f64 y #s(literal -3713820117856141/309485009821345068724781056 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 1933467854852417/822752278660603021077484591278675252491367932816789931674304512 binary64)) #s(literal 1 binary64) (.f64 y x)))
#s(literal 1 binary64)

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -200000000000000 binary64)) (.f64 y (+.f64 x #s(literal -1 binary64))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4503824807351865/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -7048757218539003/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (.f64 y (+.f64 x #s(literal -1 binary64))) (if (<=.f64 y #s(literal 8222783733480945/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(literal 1 binary64) (.f64 y (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -15000000000 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 20499999999999998877374706206736646144 binary64)) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
(if (<=.f64 y #s(literal -3713820117856141/309485009821345068724781056 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 1933467854852417/822752278660603021077484591278675252491367932816789931674304512 binary64)) #s(literal 1 binary64) (.f64 y x)))
#s(literal 1 binary64)

soundness890.0ms (13.3%)

Rules

2042×	`sum3-define`
1786×	`-lowering-.f32`
1786×	`-lowering-.f64`
1538×	`+-lowering-+.f64`
1538×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	15	8
2	36	8
3	118	8
4	915	6
5	3648	6
0	8102	6
0	41	290
1	131	271
2	410	248
3	1040	248
4	3466	248
5	6552	248
0	8126	248

Stop Event

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

Compiler

Compiled 153 to 88 computations (42.5% saved)

preprocess84.0ms (1.3%)

Compiler: Compiled 216 to 94 computations (56.5% saved)

analyze0.0ms (0%)

sample1.1s (17.2%)

preprocess166.0ms (2.5%)

explain162.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.8%)

localize31.0ms (0.5%)

series5.0ms (0.1%)

rewrite358.0ms (5.4%)

simplify137.0ms (2%)

eval71.0ms (1.1%)

prune48.0ms (0.7%)

simplify171.0ms (2.6%)

localize91.0ms (1.4%)

series11.0ms (0.2%)

rewrite337.0ms (5.1%)

simplify232.0ms (3.5%)

eval107.0ms (1.6%)

prune89.0ms (1.3%)

simplify457.0ms (6.9%)

localize87.0ms (1.3%)

series7.0ms (0.1%)

rewrite374.0ms (5.6%)

simplify187.0ms (2.8%)

eval132.0ms (2%)

prune85.0ms (1.3%)

simplify160.0ms (2.4%)

localize86.0ms (1.3%)

series3.0ms (0%)

rewrite315.0ms (4.7%)

simplify225.0ms (3.4%)

eval74.0ms (1.1%)

prune53.0ms (0.8%)

regimes22.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch61.0ms (0.9%)

bsearch37.0ms (0.6%)

bsearch65.0ms (1%)

simplify23.0ms (0.3%)

soundness890.0ms (13.3%)

preprocess84.0ms (1.3%)

end0.0ms (0%)

Profiling