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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample682.0ms (15.8%)

Results

503.0ms	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-add: 90.0ms (39.5% of total)

ival-mult: 71.0ms (31.2% of total)

ival-sub: 52.0ms (22.9% of total)

const: 11.0ms (4.8% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess166.0ms (3.8%)

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))

explain71.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

43.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-add: 4.0ms (35.9% of total)

ival-mult: 4.0ms (35.9% of total)

ival-sub: 3.0ms (26.9% of total)

const: 1.0ms (9% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify58.0ms (1.3%)

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 (1.3%)

Localize:

Found 6 expressions of interest:

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

Results

43.0ms

256×

valid

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

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

ival-add: 8.0ms (59% of total)

ival-mult: 4.0ms (29.5% of total)

ival-sub: 1.0ms (7.4% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite374.0ms (8.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 451

Calls

Call 1

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

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

simplify186.0ms (4.3%)

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))

eval85.0ms (2%)

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

prune74.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	566	5	571
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	568	5	573

Accuracy

100.0%

Counts

573 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(-.f64 y x)
▶	37.4%	(-.f64 #s(literal 0 binary64) x)
▶	64.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	59.8%	(*.f64 x (+.f64 #s(literal -1 binary64) y))
▶	42.1%	y

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

localize66.0ms (1.5%)

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

45.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

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

ival-sub: 6.0ms (46.4% of total)

ival-mult: 4.0ms (30.9% of total)

ival-add: 3.0ms (23.2% of total)

const: 1.0ms (7.7% 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	@	0	(- y x)
0.0ms	x	@	-inf	(- y x)
0.0ms	y	@	inf	(- y x)
0.0ms	y	@	-inf	(- y x)

rewrite245.0ms (5.7%)

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))
(neg.f64 x)
(/.f64 x #s(literal -1 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)))))

simplify244.0ms (5.6%)

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))

eval51.0ms (1.2%)

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

prune103.0ms (2.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	484	2	486
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	485	6	491

Accuracy

100.0%

Counts

491 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(-.f64 y x)
✓	64.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	25.0%	(*.f64 y x)
✓	59.8%	(*.f64 x (+.f64 #s(literal -1 binary64) y))
▶	37.4%	(neg.f64 x)
✓	42.1%	y

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

18×	`sum3-define`
12×	`fma-define`
12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
8×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	9	8
2	11	8
3	13	8
4	19	8
5	23	8
6	33	8
7	49	8
8	50	8
0	50	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg x)
x
(* y x)
y
x

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

localize25.0ms (0.6%)

Localize:

Found 2 expressions of interest:

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

Results

19.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

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

ival-mult: 2.0ms (49.7% of total)

ival-neg: 1.0ms (24.8% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

2 → 36

Calls

Call 1

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

Calls

9 calls:

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

rewrite100.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`/-lowering-/.f32`
518×	`/-lowering-/.f64`
450×	`-lowering-.f32`
450×	`-lowering-.f64`
238×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	9	5
2	24	5
3	154	5
0	1689	5

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

2 → 66

Calls

Call 1

Inputs
(neg x)
(* y x)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`sum3-define`
12×	`fma-define`
12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
8×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	96
1	8	96
2	10	96
3	11	96
4	13	96
5	19	96
6	23	96
7	33	96
8	49	96
9	50	96
0	50	96

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

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)

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)

eval14.0ms (0.3%)

Compiler: Compiled 950 to 120 computations (87.4% saved)

prune20.0ms (0.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	102	6	108

Accuracy

100.0%

Counts

108 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(-.f64 y x)
✓	64.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	25.0%	(*.f64 y x)
✓	59.8%	(*.f64 x (+.f64 #s(literal -1 binary64) y))
✓	37.4%	(neg.f64 x)
✓	42.1%	y

Compiler

Compiled 69 to 39 computations (43.5% saved)

regimes12.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	y

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

Inputs
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)))

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
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:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
79.1%	2	`y`
80.2%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
68.9%	4	`x`
67.4%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(neg.f64 x)

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
66.3%	3	`x`

Compiler

Compiled 3 to 2 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
y

Outputs
y

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
42.1%	1	`y`
42.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.479150510854698e-19	1.3006196055838482e-8
15.0ms	-1642026747770043400.0	-1358.1886372466022

Results

18.0ms

320×

valid

Compiler

Compiled 294 to 210 computations (28.6% saved)

Precisions

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

ival-mult: 3.0ms (43.3% of total)

ival-sub: 2.0ms (28.9% of total)

ival-add: 2.0ms (28.9% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-6.123425982031246e+215	-2.515788352852739e+204

Results

9.0ms

160×

valid

Compiler

Compiled 134 to 90 computations (32.8% saved)

Precisions

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

ival-add: 2.0ms (49% of total)

ival-sub: 1.0ms (24.5% of total)

ival-mult: 1.0ms (24.5% of total)

const: 0.0ms (0% of total)

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

bsearch55.0ms (1.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	2.5095551753160932e+238	3.7817322775094e+250
26.0ms	7.479150510854698e-19	1.3006196055838482e-8
12.0ms	-1358.1886372466022	-0.0013839367880711

Results

24.0ms

464×

valid

Compiler

Compiled 305 to 223 computations (26.9% saved)

Precisions

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

ival-mult: 4.0ms (41.7% of total)

ival-sub: 3.0ms (31.3% of total)

ival-add: 3.0ms (31.3% of total)

const: 1.0ms (10.4% of total)

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

bsearch50.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	7.479150510854698e-19	1.3006196055838482e-8
14.0ms	-1358.1886372466022	-0.0013839367880711

Results

25.0ms

304×

valid

Compiler

Compiled 185 to 143 computations (22.7% saved)

Precisions

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

ival-sub: 3.0ms (37.8% of total)

ival-add: 2.0ms (25.2% of total)

ival-mult: 2.0ms (25.2% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`*-commutative_binary64`
4×	`sub-neg_binary64`
4×	`if-if-or-not_binary32`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	67
1	46	67
2	49	67
3	50	67

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -1400 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) y)) (if (<=.f64 x #s(literal 3929008913747545/302231454903657293676544 binary64)) (-.f64 y x) (.f64 x (+.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -3300000000000000112790883412499996127747934051303673022146069396536223348274655107145110544878374257796610503701823565369484354530554510605134123018411631457654766246413608755031391202084142745455032946336297123840 binary64)) (*.f64 y x) (-.f64 y x))
(if (<=.f64 x #s(literal -6456360425798343/4611686018427387904 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 3929008913747545/302231454903657293676544 binary64)) y (if (<=.f64 x #s(literal 21000000000000000081853758124302763175491925234882528870732026333808870970680888195016062706323356393215582458432154184968108430787338753009160290689382430827251005221976108414515226140117669454692281911293478428711601476627306542522123336684666880 binary64)) (*.f64 y x) (neg.f64 x))))
(if (<=.f64 x #s(literal -6456360425798343/4611686018427387904 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 1431368170423721/38685626227668133590597632 binary64)) y (neg.f64 x)))
y

Outputs
(+.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -1400 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) y)) (if (<=.f64 x #s(literal 3929008913747545/302231454903657293676544 binary64)) (-.f64 y x) (.f64 x (+.f64 #s(literal -1 binary64) y))))
(if (<=.f64 x #s(literal -1400 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 3929008913747545/302231454903657293676544 binary64)) (-.f64 y x) (.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -3300000000000000112790883412499996127747934051303673022146069396536223348274655107145110544878374257796610503701823565369484354530554510605134123018411631457654766246413608755031391202084142745455032946336297123840 binary64)) (*.f64 y x) (-.f64 y x))
(if (<=.f64 x #s(literal -6456360425798343/4611686018427387904 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 3929008913747545/302231454903657293676544 binary64)) y (if (<=.f64 x #s(literal 21000000000000000081853758124302763175491925234882528870732026333808870970680888195016062706323356393215582458432154184968108430787338753009160290689382430827251005221976108414515226140117669454692281911293478428711601476627306542522123336684666880 binary64)) (*.f64 y x) (neg.f64 x))))
(if (<=.f64 x #s(literal -6456360425798343/4611686018427387904 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 x #s(literal 3929008913747545/302231454903657293676544 binary64)) y (if (<=.f64 x #s(literal 21000000000000000081853758124302763175491925234882528870732026333808870970680888195016062706323356393215582458432154184968108430787338753009160290689382430827251005221976108414515226140117669454692281911293478428711601476627306542522123336684666880 binary64)) (*.f64 y x) (-.f64 #s(literal 0 binary64) x))))
(if (<=.f64 x #s(literal -6456360425798343/4611686018427387904 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 1431368170423721/38685626227668133590597632 binary64)) y (neg.f64 x)))
(if (<=.f64 x #s(literal -6456360425798343/4611686018427387904 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 x #s(literal 1431368170423721/38685626227668133590597632 binary64)) y (-.f64 #s(literal 0 binary64) x)))
y

soundness1.4s (32.1%)

Rules

2616×	`/-lowering-/.f32`
2616×	`/-lowering-/.f64`
2550×	`-lowering-.f32`
2550×	`-lowering-.f64`
2272×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 227 to 131 computations (42.3% saved)

preprocess42.0ms (1%)

Compiler: Compiled 174 to 72 computations (58.6% saved)

analyze0.0ms (0%)

sample682.0ms (15.8%)

preprocess166.0ms (3.8%)

explain71.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (1.3%)

localize54.0ms (1.3%)

series6.0ms (0.1%)

rewrite374.0ms (8.7%)

simplify186.0ms (4.3%)

eval85.0ms (2%)

prune74.0ms (1.7%)

simplify46.0ms (1.1%)

localize66.0ms (1.5%)

series2.0ms (0%)

rewrite245.0ms (5.7%)

simplify244.0ms (5.6%)

eval51.0ms (1.2%)

prune103.0ms (2.4%)

simplify13.0ms (0.3%)

localize25.0ms (0.6%)

series2.0ms (0%)

rewrite100.0ms (2.3%)

simplify8.0ms (0.2%)

eval14.0ms (0.3%)

prune20.0ms (0.5%)

regimes12.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch32.0ms (0.7%)

bsearch16.0ms (0.4%)

bsearch55.0ms (1.3%)

bsearch50.0ms (1.2%)

simplify11.0ms (0.3%)

soundness1.4s (32.1%)

preprocess42.0ms (1%)

end0.0ms (0%)

Profiling