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

analyze3.0ms (0.1%)

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)

sample760.0ms (13.7%)

Results

555.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-add: 76.0ms (35.9% of total)

ival-mult: 73.0ms (34.5% of total)

ival-sub: 48.0ms (22.7% of total)

const: 12.0ms (5.7% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess156.0ms (2.8%)

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))

explain83.0ms (1.5%)

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

49.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 5.0ms (31.8% of total)

ival-add: 5.0ms (31.8% of total)

ival-mult: 4.0ms (25.4% of total)

const: 1.0ms (6.4% 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)

simplify58.0ms (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

localize54.0ms (1%)

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

Results

41.0ms

256×

valid

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

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

ival-add: 6.0ms (46.6% of total)

ival-mult: 4.0ms (31.1% of total)

ival-sub: 2.0ms (15.5% of total)

const: 1.0ms (7.8% of total)

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

series10.0ms (0.2%)

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
3.0ms	x	@	0	(* x (+ y -1))
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)))

rewrite288.0ms (5.2%)

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)))

simplify183.0ms (3.3%)

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))

eval286.0ms (5.2%)

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

prune145.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	564	7	571
Fresh	0	0	0
Picked	1	1	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
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
	64.8%	(-.f64 (*.f64 x y) x)
▶	75.5%	(-.f64 y x)
▶	41.0%	(-.f64 #s(literal 0 binary64) x)
	59.6%	(+.f64 y (*.f64 x y))
▶	59.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	64.8%	(*.f64 x (+.f64 #s(literal -1 binary64) y))
▶	36.4%	y

Compiler

Compiled 91 to 60 computations (34.1% saved)

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

542×	`sum3-define`
464×	`sum5-define`
442×	`fnmadd-define`
400×	`fma-define`
386×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	29	31
2	49	31
3	105	30
4	220	30
5	568	30
6	1148	30
7	1453	30
8	1787	30
9	1990	30
10	2006	30
0	2006	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- y x)
y
x
y
(- 0 x)
0
x
(* x (+ -1 y))
x
(+ -1 y)
-1
y
(* y (+ x 1))
y
(+ x 1)
x
1

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

localize78.0ms (1.4%)

Localize:

Found 6 expressions of interest:

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

Results

60.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sub: 18.0ms (71.1% of total)

ival-mult: 4.0ms (15.8% of total)

ival-add: 3.0ms (11.9% of total)

const: 1.0ms (4% of total)

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

series2.0ms (0%)

Counts

6 → 108

Calls

Call 1

Inputs
#<alt (- y x)>
#<alt (- 0 x)>
#<alt (* x (+ -1 y))>
#<alt (+ -1 y)>
#<alt (* y (+ x 1))>
#<alt (+ x 1)>

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

Calls

27 calls:

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

rewrite309.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2616×	`/-lowering-/.f32`
2616×	`/-lowering-/.f64`
2550×	`-lowering-.f32`
2550×	`-lowering-.f64`
1924×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	71	20
2	566	20
3	6477	20
0	8858	20

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 378

Calls

Call 1

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

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

simplify249.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2272×	`fnmadd-define`
2032×	`fmsub-define`
2024×	`fnmsub-define`
1898×	`fma-lowering-fma.f32`
1898×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	372
1	152	351
2	402	330
3	1045	330
4	3073	330
5	6464	330
0	8465	330

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval52.0ms (0.9%)

Compiler: Compiled 7682 to 982 computations (87.2% saved)

prune82.0ms (1.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	482	4	486
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	485	9	494

Accuracy

100.0%

Counts

494 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
▶	64.8%	(-.f64 (*.f64 y x) x)
✓	75.5%	(-.f64 y x)
▶	59.6%	(+.f64 (*.f64 y x) y)
✓	59.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	26.0%	(*.f64 y x)
✓	64.8%	(*.f64 x (+.f64 #s(literal -1 binary64) y))
▶	41.0%	(neg.f64 x)
✓	36.4%	y

Compiler

Compiled 54 to 35 computations (35.2% saved)

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 (*.f64 y x) x)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 (*.f64 y x) y)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	-64	(neg.f64 x)

Rules

720×	`sum5-define`
620×	`fnmadd-define`
614×	`sum3-define`
472×	`fma-define`
344×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	26
1	16	26
2	29	26
3	47	26
4	92	26
5	164	26
6	363	26
7	1520	26
8	1786	26
9	2034	26
10	2204	26
11	2212	26
0	2212	26

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (0.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 (*.f64 y x) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 (*.f64 y x) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(neg.f64 x)

Results

41.0ms

256×

valid

Compiler

Compiled 31 to 7 computations (77.4% saved)

Precisions

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

ival-add: 2.0ms (27.4% of total)

ival-mult: 2.0ms (27.4% of total)

ival-neg: 2.0ms (27.4% of total)

ival-sub: 1.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

4 → 84

Calls

Call 1

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

Outputs
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 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)))))>
#<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 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))))>

Calls

21 calls:

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

rewrite239.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2866×	`-lowering-.f32`
2866×	`-lowering-.f64`
1594×	`pow-lowering-pow.f64`
1594×	`pow-lowering-pow.f32`
1484×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	39	13
2	311	13
3	3651	12
0	9255	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify169.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2064×	`sum4-define`
1678×	`fmsub-define`
1630×	`fnmsub-define`
1448×	`sum3-define`
1366×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	300
1	118	279
2	312	279
3	809	279
4	2532	279
5	5474	279
0	8039	279

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval41.0ms (0.7%)

Compiler: Compiled 6482 to 494 computations (92.4% saved)

prune33.0ms (0.6%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	354	1	355
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	354	10	364

Accuracy

100.0%

Counts

364 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	64.8%	(-.f64 (*.f64 y x) x)
✓	75.5%	(-.f64 y x)
✓	59.6%	(+.f64 (*.f64 y x) y)
✓	59.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	26.0%	(*.f64 y x)
✓	64.8%	(*.f64 x (+.f64 #s(literal -1 binary64) y))
✓	41.0%	(neg.f64 x)
✓	36.4%	y
▶	2.7%	x

Compiler

Compiled 57 to 37 computations (35.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
x

Outputs
x

localize13.0ms (0.2%)

Results

10.0ms

256×

valid

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

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

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite10.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	9	9
Total	10	10

Accuracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	64.8%	(-.f64 (*.f64 y x) x)
✓	75.5%	(-.f64 y x)
✓	59.6%	(+.f64 (*.f64 y x) y)
✓	59.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	26.0%	(*.f64 y x)
✓	64.8%	(*.f64 x (+.f64 #s(literal -1 binary64) y))
✓	41.0%	(neg.f64 x)
✓	36.4%	y
✓	2.7%	x

Compiler

Compiled 116 to 60 computations (48.3% saved)

regimes20.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
5.0ms	y
5.0ms	x

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)

regimes31.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	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)

regimes9.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
99.0%	3	`x`
98.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
78.3%	2	`y`
78.2%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
68.5%	4	`x`
64.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
y

Outputs
y

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
36.4%	1	`y`
36.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
2.7%	1	`x`
2.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch54.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	2.3532829152611087e-5	8.195740538832473
14.0ms	-203805822735335.34	-12164640.99733025

Results

17.0ms

288×

valid

Compiler

Compiled 266 to 181 computations (32% saved)

Precisions

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

ival-mult: 4.0ms (52.2% of total)

ival-sub: 2.0ms (26.1% of total)

ival-add: 2.0ms (26.1% 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
15.0ms	2.3532829152611087e-5	8.195740538832473
13.0ms	-203805822735335.34	-12164640.99733025

Results

16.0ms

288×

valid

Compiler

Compiled 266 to 190 computations (28.6% saved)

Precisions

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

ival-sub: 2.0ms (31.2% of total)

ival-add: 2.0ms (31.2% of total)

ival-mult: 2.0ms (31.2% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-5.058400618528448e+20	-1.3602102368912798

Results

12.0ms

176×

valid

Compiler

Compiled 146 to 98 computations (32.9% saved)

Precisions

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

ival-sub: 3.0ms (54.1% of total)

ival-add: 1.0ms (18% of total)

ival-mult: 1.0ms (18% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	3.3527244253562044e-25	5.065631212096745e-23
10.0ms	-2.5013847284712796e-62	-2.335223482994574e-63
10.0ms	-8.918693316575163e+168	-8.001563878412466e+166

Results

20.0ms

320×

valid

Compiler

Compiled 208 to 157 computations (24.5% saved)

Precisions

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

ival-mult: 3.0ms (41.9% of total)

ival-sub: 2.0ms (27.9% of total)

ival-add: 2.0ms (27.9% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.3527244253562044e-25	5.065631212096745e-23
12.0ms	-2.5013847284712796e-62	-2.335223482994574e-63

Results

15.0ms

208×

valid

Compiler

Compiled 131 to 101 computations (22.9% saved)

Precisions

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

ival-add: 5.0ms (64.2% of total)

ival-mult: 2.0ms (25.7% of total)

ival-sub: 1.0ms (12.8% 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×	`sub-neg_binary64`
6×	`if-if-or-not_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	95
1	67	95
2	72	95
3	73	95

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 x #s(literal -12500000 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) y)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (-.f64 (.f64 x y) x)))
(if (<=.f64 x #s(literal -12500000 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) y)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (.f64 x (+.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1260000000 binary64)) (*.f64 y x) (-.f64 y x))
(if (<=.f64 x #s(literal -1750000000000000093752864866153285164995053475719425899435553385794622658654953941497524726941901920078386379407338470238941700587372966978143471321121680493640939470848 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -6484356997289707/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 1565298887836317/680564733841876926926749214863536422912 binary64)) y (neg.f64 x))))
(if (<=.f64 x #s(literal -2894802230932905/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 3811162509514511/5444517870735015415413993718908291383296 binary64)) y (neg.f64 x)))
y
x

Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -12500000 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) y)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (-.f64 (.f64 x y) x)))
(if (<=.f64 x #s(literal -12500000 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (-.f64 (.f64 x y) x)))
(if (<=.f64 x #s(literal -12500000 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) y)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (.f64 x (+.f64 #s(literal -1 binary64) y))))
(if (<=.f64 x #s(literal -12500000 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -1260000000 binary64)) (*.f64 y x) (-.f64 y x))
(if (<=.f64 y #s(literal -1260000000 binary64)) (*.f64 x y) (-.f64 y x))
(if (<=.f64 x #s(literal -1750000000000000093752864866153285164995053475719425899435553385794622658654953941497524726941901920078386379407338470238941700587372966978143471321121680493640939470848 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -6484356997289707/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 1565298887836317/680564733841876926926749214863536422912 binary64)) y (neg.f64 x))))
(if (<=.f64 x #s(literal -1750000000000000093752864866153285164995053475719425899435553385794622658654953941497524726941901920078386379407338470238941700587372966978143471321121680493640939470848 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal -6484356997289707/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 x #s(literal 1565298887836317/680564733841876926926749214863536422912 binary64)) y (-.f64 #s(literal 0 binary64) x))))
(if (<=.f64 x #s(literal -2894802230932905/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 3811162509514511/5444517870735015415413993718908291383296 binary64)) y (neg.f64 x)))
(if (<=.f64 x #s(literal -2894802230932905/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 x #s(literal 3811162509514511/5444517870735015415413993718908291383296 binary64)) y (-.f64 #s(literal 0 binary64) x)))
y
x

soundness1.7s (31.3%)

Rules

2866×	`-lowering-.f32`
2866×	`-lowering-.f64`
2616×	`/-lowering-/.f32`
2616×	`/-lowering-/.f64`
2550×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	372
1	152	351
2	402	330
3	1045	330
4	3073	330
5	6464	330
0	8465	330
0	63	547
1	224	522
2	664	497
3	2061	497
4	6231	497
0	8351	497
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
0	6	13
1	39	13
2	311	13
3	3651	12
0	9255	12
0	11	21
1	71	20
2	566	20
3	6477	20
0	8858	20

Stop Event

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

Compiler

Compiled 305 to 174 computations (43% saved)

preprocess74.0ms (1.3%)

Compiler: Compiled 232 to 92 computations (60.3% saved)

analyze3.0ms (0.1%)

sample760.0ms (13.7%)

preprocess156.0ms (2.8%)

explain83.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (1%)

localize54.0ms (1%)

series10.0ms (0.2%)

rewrite288.0ms (5.2%)

simplify183.0ms (3.3%)

eval286.0ms (5.2%)

prune145.0ms (2.6%)

simplify42.0ms (0.8%)

localize78.0ms (1.4%)

series2.0ms (0%)

rewrite309.0ms (5.6%)

simplify249.0ms (4.5%)

eval52.0ms (0.9%)

prune82.0ms (1.5%)

simplify42.0ms (0.8%)

localize50.0ms (0.9%)

series4.0ms (0.1%)

rewrite239.0ms (4.3%)

simplify169.0ms (3%)

eval41.0ms (0.7%)

prune33.0ms (0.6%)

simplify4.0ms (0.1%)

localize13.0ms (0.2%)

series0.0ms (0%)

rewrite10.0ms (0.2%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes20.0ms (0.4%)

regimes31.0ms (0.6%)

regimes9.0ms (0.2%)

regimes23.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch54.0ms (1%)

bsearch29.0ms (0.5%)

bsearch18.0ms (0.3%)

bsearch32.0ms (0.6%)

bsearch23.0ms (0.4%)

simplify11.0ms (0.2%)

soundness1.7s (31.3%)

preprocess74.0ms (1.3%)

end0.0ms (0%)

Profiling