Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

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 10 to 7 computations (30% saved)

Precisions

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

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

ival-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)

sample727.0ms (11.6%)

Results

547.0ms	8252×	0	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 73.0ms (36.7% of total)

ival-add: 65.0ms (32.7% of total)

ival-sub: 47.0ms (23.6% of total)

const: 12.0ms (6% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess149.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

2544×	`sum4-define`
2376×	`fnmadd-define`
2168×	`sum5-define`
1810×	`sum3-define`
1618×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	50	38
2	154	37
3	812	36
4	2905	36
5	6449	36
6	7712	36
7	7952	36
8	7952	36
0	6	6
1	14	6
2	28	6
3	73	6
4	158	6
5	339	6
6	815	6
7	2441	6
8	4179	6
9	4480	6
10	4525	6
0	4525	6

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain106.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

76.0ms	510×	0	valid
4.0ms	2×	2	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-mult: 4.0ms (35.6% of total)

ival-add: 3.0ms (26.7% of total)

ival-sub: 3.0ms (26.7% of total)

const: 1.0ms (8.9% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

1552×	`sum5-define`
864×	`sum4-define`
854×	`sum3-define`
832×	`fnmadd-define`
566×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	27	34
2	60	33
3	103	32
4	185	32
5	403	32
6	951	32
7	2850	32
8	3532	32
9	3596	32
0	3596	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize122.0ms (2%)

Localize:

Found 6 expressions of interest:

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

Results

33.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

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

ival-add: 4.0ms (39.6% of total)

ival-mult: 4.0ms (39.6% of total)

const: 1.0ms (9.9% of total)

ival-sub: 1.0ms (9.9% of total)

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

series6.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite735.0ms (11.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4484×	`-lowering-.f32`
4484×	`-lowering-.f64`
3218×	`/-lowering-/.f32`
3218×	`/-lowering-/.f64`
1618×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	72	28
2	638	27
0	8249	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 451

Calls

Call 1

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

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

simplify159.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2098×	`fnmsub-define`
2084×	`fmsub-define`
1942×	`fma-lowering-fma.f32`
1942×	`fma-lowering-fma.f64`
1906×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	547
1	224	522
2	664	497
3	2061	497
4	6231	497
0	8351	497

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval89.0ms (1.4%)

Compiler: Compiled 18264 to 1131 computations (93.8% saved)

prune46.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	563	8	571
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	565	8	573

Accuracy

100.0%

Counts

573 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.2%	(-.f64 (*.f64 x y) x)
▶	77.8%	(-.f64 y x)
	38.7%	(-.f64 #s(literal 0 binary64) x)
	63.0%	(+.f64 y (*.f64 x y))
▶	86.9%	(.f64 (+.f64 y (.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
▶	63.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
	60.2%	(*.f64 x (+.f64 #s(literal -1 binary64) y))
▶	41.4%	y

Compiler

Compiled 136 to 78 computations (42.6% saved)

simplify238.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 (*.f64 x y) x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64))))
✓	cost-diff	128	(.f64 (-.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64))))))
✓	cost-diff	1024	(.f64 (+.f64 y (.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64)))))))

Rules

3532×	`-lowering-.f32`
3532×	`-lowering-.f64`
1716×	`--lowering--.f32`
1716×	`--lowering--.f64`
1348×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	121
1	48	108
2	120	80
3	472	80
4	3445	80
5	7000	80
0	8119	80

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize125.0ms (2%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (*.f64 x y) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(+.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64))))
✓	accuracy	100.0%	(.f64 (+.f64 y (.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64)))))
✓	accuracy	87.3%	(.f64 (-.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64))))))

Results

101.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 114 to 16 computations (86% saved)

Precisions

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

ival-mult: 8.0ms (41.5% of total)

ival-sub: 4.0ms (20.8% of total)

ival-add: 4.0ms (20.8% of total)

ival-div: 2.0ms (10.4% of total)

const: 0.0ms (0% of total)

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

series33.0ms (0.5%)

Counts

10 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
13.0ms	y	@	0	(- (* x y) x)
6.0ms	y	@	-inf	(- (* x y) x)
1.0ms	y	@	0	(- y x)
1.0ms	y	@	0	(/ 1 (+ y (* x (+ y 1))))
1.0ms	y	@	inf	(* (- (* y (+ x 1)) x) (/ 1 (+ y (* x (+ y 1)))))

rewrite402.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3872×	`-lowering-.f32`
3872×	`-lowering-.f64`
3462×	`/-lowering-/.f32`
3462×	`/-lowering-/.f64`
2998×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	116	53
2	1077	53
0	8704	53

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 589

Calls

Call 1

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

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

simplify346.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

3234×	`-lowering-.f32`
3234×	`-lowering-.f64`
2132×	`+-lowering-+.f64`
2132×	`+-lowering-+.f32`
1768×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	2486
1	1401	2137
2	5125	2071
0	8143	2071

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval234.0ms (3.7%)

Compiler: Compiled 38708 to 2769 computations (92.8% saved)

prune116.0ms (1.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1109	3	1112
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	1112	8	1120

Accuracy

100.0%

Counts

1120 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.2%	(-.f64 (*.f64 x y) x)
✓	77.8%	(-.f64 y x)
▶	63.0%	(+.f64 (*.f64 y x) y)
▶	66.6%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	63.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	24.1%	(*.f64 y x)
▶	60.2%	(*.f64 x (+.f64 #s(literal -1 binary64) y))
✓	41.4%	y

Compiler

Compiled 50 to 32 computations (36% saved)

simplify138.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2014×	`fmsub-define`
1936×	`sum5-define`
1880×	`fmm-def`
1804×	`sum3-define`
1562×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	26	43
2	46	43
3	81	41
4	208	38
5	469	38
6	993	38
7	2760	38
0	8192	38

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize70.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 (*.f64 y x) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	88.8%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal -1 binary64) y))

Results

45.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 47 to 12 computations (74.5% saved)

Precisions

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

ival-mult: 5.0ms (38.3% of total)

ival-add: 3.0ms (23% of total)

ival-div: 2.0ms (15.3% of total)

const: 1.0ms (7.7% of total)

ival-sub: 1.0ms (7.7% of total)

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

series4.0ms (0.1%)

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite436.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

3104×	`-lowering-.f32`
3104×	`-lowering-.f64`
2722×	`/-lowering-/.f32`
2722×	`/-lowering-/.f64`
1376×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	68	30
2	551	30
0	8207	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 268

Calls

Call 1

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

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

simplify171.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2414×	`fnmadd-define`
1268×	`sum4-define`
1250×	`-lowering-.f32`
1250×	`-lowering-.f64`
1222×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	585
1	170	546
2	466	525
3	1233	525
4	3290	525
5	7346	525
0	8025	525

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval118.0ms (1.9%)

Compiler: Compiled 7797 to 841 computations (89.2% saved)

prune48.0ms (0.8%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	450	0	450
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	450	8	458

Accuracy

100.0%

Counts

458 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.2%	(-.f64 (*.f64 x y) x)
✓	77.8%	(-.f64 y x)
✓	63.0%	(+.f64 (*.f64 y x) y)
✓	66.6%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	63.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	24.1%	(*.f64 y x)
✓	60.2%	(*.f64 x (+.f64 #s(literal -1 binary64) y))
✓	41.4%	y

Compiler

Compiled 133 to 63 computations (52.6% saved)

regimes15.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
4.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
4.0ms	y

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
98.8%	3	`x`
99.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
98.8%	3	`x`
80.6%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
y
(*.f64 y x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 y x)

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

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
80.6%	2	`y`
81.4%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

Inputs
y
(*.f64 y x)
(-.f64 #s(literal 0 binary64) x)

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
66.1%	3	`x`
69.0%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 y x)

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
61.8%	3	`x`
44.3%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

2 calls:

3.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
41.4%	1	`y`
41.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.226600198782523e-7	5.686638447461074e-5
12.0ms	-1421528739064026.5	-28211185.17041331

Results

15.0ms

272×

valid

Compiler

Compiled 252 to 172 computations (31.7% saved)

Precisions

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

ival-sub: 2.0ms (34% of total)

ival-add: 2.0ms (34% of total)

ival-mult: 2.0ms (34% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.226600198782523e-7	5.686638447461074e-5
15.0ms	-1421528739064026.5	-28211185.17041331

Results

18.0ms

272×

valid

Compiler

Compiled 252 to 180 computations (28.6% saved)

Precisions

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

ival-mult: 3.0ms (46.2% of total)

ival-add: 2.0ms (30.8% of total)

ival-sub: 1.0ms (15.4% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.1941370605406027e-10	0.00014480109367437868
7.0ms	-52.16666943613076	-17.24138362599832

Results

12.0ms

224×

valid

Compiler

Compiled 210 to 150 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (41.6% of total)

ival-sub: 1.0ms (20.8% of total)

ival-add: 1.0ms (20.8% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.6742190448782148e+170	-1.2706950055443425e+165

Results

8.0ms

144×

valid

Compiler

Compiled 122 to 82 computations (32.8% saved)

Precisions

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

ival-sub: 1.0ms (33.2% of total)

ival-add: 1.0ms (33.2% of total)

ival-mult: 1.0ms (33.2% of total)

const: 0.0ms (0% of total)

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

bsearch67.0ms (1.1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	4.39666194555929e-20	8.066257762082539e-18
11.0ms	-2.6424531903481066e-12	-3.289191444200209e-16
41.0ms	-1.6742190448782148e+170	-1.2706950055443425e+165

Results

52.0ms

384×

valid

Compiler

Compiled 254 to 193 computations (24% saved)

Precisions

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

ival-add: 3.0ms (37.2% of total)

ival-mult: 3.0ms (37.2% of total)

ival-sub: 2.0ms (24.8% of total)

const: 1.0ms (12.4% of total)

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

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.1941370605406027e-10	0.00014480109367437868
16.0ms	-17.24138362599832	-1.8885758662207613e-28

Results

17.0ms

320×

valid

Compiler

Compiled 214 to 150 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (44.9% of total)

ival-sub: 2.0ms (29.9% of total)

ival-add: 2.0ms (29.9% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`sub-neg_binary64`
2×	`sub0-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	112
1	77	112
2	81	112
3	82	112

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 y #s(literal -29000000 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8264141345021879/147573952589676412928 binary64)) (-.f64 y x) (+.f64 y (.f64 x y))))
(if (<=.f64 y #s(literal -29000000 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8264141345021879/147573952589676412928 binary64)) (-.f64 y x) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -18 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) y)) (if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) (-.f64 y x) (.f64 x (+.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -5999999999999999603162969008457847374231701298581989111670156933846203880197621885754154595575075683025487327598191128853236284880668876759676751032422371704966310002688 binary64)) (*.f64 y x) (-.f64 y x))
(if (<=.f64 y #s(literal -180000000000000012187043944369339584524027207608589433664590166892342967002953125760169379405656994431632499346600330496123083725262188930629310708689164023646952357888 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -3466232109999065/19807040628566084398385987584 binary64)) y (if (<=.f64 y #s(literal 2466341007804043/649037107316853453566312041152512 binary64)) (-.f64 #s(literal 0 binary64) x) y)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) y (.f64 y x)))
y

Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 y #s(literal -29000000 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8264141345021879/147573952589676412928 binary64)) (-.f64 y x) (+.f64 y (.f64 x y))))
(if (<=.f64 y #s(literal -29000000 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) y) (if (<=.f64 y #s(literal 8264141345021879/147573952589676412928 binary64)) (-.f64 y x) (+.f64 y (.f64 x y))))
(if (<=.f64 y #s(literal -29000000 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8264141345021879/147573952589676412928 binary64)) (-.f64 y x) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -29000000 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) y) (if (<=.f64 y #s(literal 8264141345021879/147573952589676412928 binary64)) (-.f64 y x) (.f64 (+.f64 x #s(literal 1 binary64)) y)))
(if (<=.f64 x #s(literal -18 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) y)) (if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) (-.f64 y x) (.f64 x (+.f64 #s(literal -1 binary64) y))))
(if (<=.f64 x #s(literal -18 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) (-.f64 y x) (.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -5999999999999999603162969008457847374231701298581989111670156933846203880197621885754154595575075683025487327598191128853236284880668876759676751032422371704966310002688 binary64)) (*.f64 y x) (-.f64 y x))
(if (<=.f64 y #s(literal -5999999999999999603162969008457847374231701298581989111670156933846203880197621885754154595575075683025487327598191128853236284880668876759676751032422371704966310002688 binary64)) (*.f64 x y) (-.f64 y x))
(if (<=.f64 y #s(literal -180000000000000012187043944369339584524027207608589433664590166892342967002953125760169379405656994431632499346600330496123083725262188930629310708689164023646952357888 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -3466232109999065/19807040628566084398385987584 binary64)) y (if (<=.f64 y #s(literal 2466341007804043/649037107316853453566312041152512 binary64)) (-.f64 #s(literal 0 binary64) x) y)))
(if (<=.f64 y #s(literal -180000000000000012187043944369339584524027207608589433664590166892342967002953125760169379405656994431632499346600330496123083725262188930629310708689164023646952357888 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -3466232109999065/19807040628566084398385987584 binary64)) y (if (<=.f64 y #s(literal 2466341007804043/649037107316853453566312041152512 binary64)) (-.f64 #s(literal 0 binary64) x) y)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) y (.f64 y x)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) y (.f64 x y)))
y

soundness1.2s (19.9%)

Rules

3234×	`-lowering-.f32`
3234×	`-lowering-.f64`
2168×	`sum5-define`
2132×	`+-lowering-+.f64`
2132×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	547
1	224	522
2	664	497
3	2061	497
4	6231	497
0	8351	497
0	385	2486
1	1401	2137
2	5125	2071
0	8143	2071
0	6	6
1	14	6
2	28	6
3	73	6
4	158	6
5	339	6
6	815	6
7	2441	6
8	4179	6
9	4480	6
10	4525	6
0	4525	6

Stop Event

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

Compiler

Compiled 331 to 181 computations (45.3% saved)

preprocess52.0ms (0.8%)

Compiler: Compiled 268 to 100 computations (62.7% saved)

analyze0.0ms (0%)

sample727.0ms (11.6%)

preprocess149.0ms (2.4%)

explain106.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify65.0ms (1%)

localize122.0ms (2%)

series6.0ms (0.1%)

rewrite735.0ms (11.7%)

simplify159.0ms (2.5%)

eval89.0ms (1.4%)

prune46.0ms (0.7%)

simplify238.0ms (3.8%)

localize125.0ms (2%)

series33.0ms (0.5%)

rewrite402.0ms (6.4%)

simplify346.0ms (5.5%)

eval234.0ms (3.7%)

prune116.0ms (1.9%)

simplify138.0ms (2.2%)

localize70.0ms (1.1%)

series4.0ms (0.1%)

rewrite436.0ms (7%)

simplify171.0ms (2.7%)

eval118.0ms (1.9%)

prune48.0ms (0.8%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes17.0ms (0.3%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch26.0ms (0.4%)

bsearch29.0ms (0.5%)

bsearch43.0ms (0.7%)

bsearch13.0ms (0.2%)

bsearch67.0ms (1.1%)

bsearch32.0ms (0.5%)

simplify11.0ms (0.2%)

soundness1.2s (19.9%)

preprocess52.0ms (0.8%)

end0.0ms (0%)

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