Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

analyze38.0ms (0.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

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

ival-div: 4.0ms (35.5% of total)

ival-mult: 3.0ms (26.6% of total)

ival-sub: 2.0ms (17.7% of total)

ival-add: 2.0ms (17.7% of total)

const: 0.0ms (0% of total)

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

sample896.0ms (13.5%)

Results

515.0ms	8252×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 294.0ms

ival-div: 118.0ms (40.1% of total)

ival-mult: 70.0ms (23.8% of total)

ival-add: 46.0ms (15.6% of total)

ival-sub: 43.0ms (14.6% of total)

const: 14.0ms (4.8% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess74.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
272×	`-lowering-.f32`
272×	`-lowering-.f64`
226×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	74
1	65	72
2	132	68
3	267	66
4	602	66
5	1047	66
6	1183	66
7	1211	66
8	1221	66
9	1225	66
0	9	11
1	17	11
2	28	11
3	43	11
4	85	11
5	158	11
6	279	11
7	375	11
8	584	11
9	674	11
10	796	11
11	832	11
12	991	11
13	1000	11
0	1000	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(+ x (/ y (+ (* y (* x -1/2)) -1)))
(- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2))))
(- (/ y (+ (* y (* x 1/2)) -1)) x)
(- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2))))
(+ x (/ y (+ 1 (* y (* x -1/2)))))
(neg (- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2)))))
(+ x (/ y (+ 1 (* y (* x -1/2)))))
(neg (- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2)))))
(- (/ y (+ (* y (* x 1/2)) -1)) x)
(- y (/ x (+ 1 (/ (* y x) 2))))
(+ y (/ x (+ (* y (* x -1/2)) -1)))

explain177.0ms (2.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
27	-	-	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
0	-	-	`x`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	-	`(*.f64 x y)`
0	-	-	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
0	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`

Results

112.0ms

512×

valid

Compiler

Compiled 97 to 55 computations (43.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 29.0ms (62.7% of total)

ival-add: 8.0ms (17.3% of total)

ival-mult: 4.0ms (8.6% of total)

ival-sub: 3.0ms (6.5% of total)

const: 2.0ms (4.3% of total)

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

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize271.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
✓	cost-diff	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	90.1%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
272×	`-lowering-.f32`
272×	`-lowering-.f64`
226×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	17	39
2	28	39
3	43	39
4	85	39
5	158	39
6	279	39
7	375	39
8	584	39
9	674	39
10	796	39
11	832	39
12	991	39
13	1000	39
0	1000	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

138.0ms

256×

valid

Compiler

Compiled 42 to 23 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 109.0ms (86.9% of total)

ival-div: 10.0ms (8% of total)

ival-add: 4.0ms (3.2% of total)

ival-sub: 1.0ms (0.8% of total)

const: 1.0ms (0.8% of total)

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

series14.0ms (0.2%)

Counts

5 → 120

Calls

Call 1

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

Outputs
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (* x y) 2)
1.0ms	y	@	0	(/ (* x y) 2)
1.0ms	y	@	inf	(/ y (+ 1 (/ (* x y) 2)))
1.0ms	x	@	inf	(/ y (+ 1 (/ (* x y) 2)))
0.0ms	x	@	0	(/ (* x y) 2)

rewrite635.0ms (9.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5754×	`accelerator-lowering-fma.f32`
5754×	`accelerator-lowering-fma.f64`
4124×	`-lowering-.f32`
4124×	`-lowering-.f64`
2962×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	58	35
2	495	35
3	6876	35
0	8530	32

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 279

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) #s(literal 1 binary64)) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))))) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))))))
(+.f64 (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))))) (.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64))))) (.f64 (/.f64 (.f64 y x) #s(literal -2 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (*.f64 y y)) #s(literal -4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)))) (.f64 (/.f64 (.f64 y x) #s(literal -2 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64))))))
(fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) (.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64))))))))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) #s(literal 1 binary64) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)))) (/.f64 (.f64 y x) #s(literal -2 binary64))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (+.f64 (*.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))) (+.f64 (.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))))
(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))) (.f64 (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))))))
(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))) (/.f64 (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))
(.f64 (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) (.f64 (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))))
(*.f64 (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) (/.f64 (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))))))
(.f64 (.f64 (+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 0 binary64) x)) (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 0 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (+.f64 (.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))) (+.f64 (*.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)))) (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)) (.f64 (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)) (-.f64 (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)) (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))))) (-.f64 (.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))))

simplify656.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

13558×	`accelerator-lowering-fma.f32`
13558×	`accelerator-lowering-fma.f64`
4930×	`-lowering-.f32`
4930×	`-lowering-.f64`
1854×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1053
1	738	1018
2	1943	987
3	6091	981
0	8433	934

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))

Outputs
y
(* y (+ 1 (* -1/2 (* x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(+.f64 y (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 y x))))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (.f64 (.f64 x x) (.f64 x #s(literal -1/8 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 #s(literal -1/2 binary64) x)))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 #s(literal -16 binary64) (.f64 y (.f64 (.f64 x (.f64 y x)) (.f64 x (*.f64 y x))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 #s(literal -16 binary64) (.f64 y (.f64 (.f64 x (.f64 y x)) (.f64 x (*.f64 y x))))))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+.f64 y (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 y x))))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(+.f64 y (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (pow.f64 y #s(literal 4 binary64))))) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 y x)))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 y (.f64 y y)))) (*.f64 x x)))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 x (.f64 y (.f64 y y)))) (/.f64 #s(literal -8 binary64) (.f64 y y))) x)) x)) x)
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* x (+ (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* x (+ (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* x (+ (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* y (+ (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* y (+ (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y y)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x #s(literal -1/4 binary64))))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 x (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (pow.f64 y #s(literal 4 binary64)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (/.f64 #s(literal -2 binary64) (.f64 x x)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x)) (.f64 x x)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 x (.f64 x x))) (/.f64 #s(literal -2 binary64) (.f64 x x)))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x)) (.f64 x x)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y y)))) y)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 x #s(literal -1/4 binary64))))))) y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(-.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 #s(literal -16 binary64) (.f64 y (.f64 (.f64 x (.f64 y x)) (.f64 x (*.f64 y x)))))))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 #s(literal -16 binary64) (.f64 y (.f64 (.f64 x (.f64 y x)) (.f64 x (*.f64 y x)))))))

eval105.0ms (1.6%)

Compiler: Compiled 12209 to 6927 computations (43.3% saved)

prune63.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	395	4	399
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	395	5	400

Accuracy

100.0%

Counts

400 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
▶	66.5%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	74.5%	(-.f64 x y)
▶	25.7%	(neg.f64 y)
▶	66.3%	x

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize101.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	-64	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(neg.f64 y)

Rules

144×	`accelerator-lowering-fma.f32`
144×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
56×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	14	16
2	27	16
3	41	16
4	70	16
5	90	16
6	120	16
7	180	16
8	206	16
9	226	16
0	226	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(neg y)
y
(- x y)
(- x (/ 2 x))
(/ 2 x)
2

Outputs
x
(neg y)
(-.f64 #s(literal 0 binary64) y)
y
(- x y)
(-.f64 x y)
(- x (/ 2 x))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)

Results

69.0ms

256×

valid

Compiler

Compiled 22 to 11 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 51.0ms (92.3% of total)

ival-sub: 3.0ms (5.4% of total)

const: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

series5.0ms (0.1%)

Counts

4 → 60

Calls

Call 1

Inputs
#<alt (neg y)>
#<alt (- x y)>
#<alt (- x (/ 2 x))>
#<alt (/ 2 x)>

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

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 2 x)
0.0ms	y	@	inf	(neg y)
0.0ms	x	@	0	(- x (/ 2 x))
0.0ms	x	@	inf	(- x (/ 2 x))
0.0ms	x	@	-inf	(- x (/ 2 x))

rewrite618.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4236×	`accelerator-lowering-fma.f32`
4236×	`accelerator-lowering-fma.f64`
4064×	`-lowering-.f32`
4064×	`-lowering-.f64`
2018×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	46	13
2	371	13
3	5196	12
0	8556	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 230

Calls

Call 1

Inputs
(neg y)
(- x y)
(- x (/ 2 x))
(/ 2 x)

Outputs
y
(+.f64 y #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(neg.f64 y)
(/.f64 (.f64 y (.f64 y y)) (*.f64 y y))
(/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 y y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 y (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
(pow.f64 (/.f64 (.f64 y y) (.f64 y (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 y y)) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(+.f64 y x)
(+.f64 y (-.f64 #s(literal 0 binary64) x))
(+.f64 x y)
(+.f64 x (*.f64 #s(literal 1 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) x) y)
(+.f64 #s(literal 0 binary64) (+.f64 y x))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(+.f64 (-.f64 x #s(literal 0 binary64)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(-.f64 x y)
(-.f64 #s(literal 0 binary64) (+.f64 y x))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (-.f64 x #s(literal 0 binary64)) y)
(fma.f64 y #s(literal -1 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 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) y))
(fma.f64 x #s(literal -1 binary64) y)
(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 x (/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(fma.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal -1 binary64) y (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) y)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y y))) (+.f64 y x) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 y x)) (.f64 y (.f64 (+.f64 y x) (.f64 y (+.f64 y x))))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (+.f64 y x) (.f64 y (+.f64 y x)))))) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))))
(neg.f64 (+.f64 y x))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 y y) (-.f64 (.f64 x x) (*.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) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 y x))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (+.f64 y x) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (+.f64 y x) (*.f64 y (+.f64 y x)))))))
(/.f64 (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))) (.f64 (+.f64 y x) (+.f64 (.f64 x x) (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (+.f64 y x) (.f64 y (+.f64 y x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (+.f64 (.f64 x x) (.f64 y y)))
(/.f64 (.f64 (+.f64 (.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (+.f64 y x) (.f64 y (+.f64 y x))))) (+.f64 y x)))
(/.f64 (.f64 (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (*.f64 y y)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))) (+.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 y y) (+.f64 y x))))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))))
(/.f64 (-.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 y y) (+.f64 y x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (+.f64 y x) (*.f64 y (+.f64 y x))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 (.f64 x x) (.f64 y y)))
(/.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(/.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (/.f64 (+.f64 y x) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 #s(literal -1 binary64) (+.f64 y x))
(.f64 (+.f64 (.f64 x x) (*.f64 y y)) (/.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 #s(literal 1 binary64) (+.f64 y x)) (+.f64 (.f64 x x) (*.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 y x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))))
(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y y))) (+.f64 y x))
(.f64 (/.f64 (+.f64 (.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 y x)) (.f64 y (.f64 (+.f64 y x) (.f64 y (+.f64 y x))))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (+.f64 y x) (.f64 y (+.f64 y x)))))) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(.f64 (pow.f64 (/.f64 (+.f64 y x) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (+.f64 y x) (*.f64 y (+.f64 y x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y y))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 #s(literal -2 binary64) x) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal -2 binary64)))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 2 binary64) x) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal -2 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal -2 binary64))))))
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(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal -2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (+.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x x)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (.f64 x x))) (+.f64 (.f64 x x) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 x (/.f64 #s(literal 2 binary64) x))))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal -2 binary64))) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x x))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))) (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))
(.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal -2 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 512 binary64) (.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 x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify351.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

4802×	`-lowering-.f32`
4802×	`-lowering-.f64`
3368×	`accelerator-lowering-fma.f32`
3368×	`accelerator-lowering-fma.f64`
1446×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	191
1	93	191
2	240	173
3	647	173
4	2088	173
5	3907	173
6	5435	173
7	6953	173
0	8080	173

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval44.0ms (0.7%)

Compiler: Compiled 5928 to 2016 computations (66% saved)

prune48.0ms (0.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	288	2	290
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	288	7	295

Accuracy

100.0%

Counts

295 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.1%	(/.f64 #s(literal -2 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	66.5%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	74.5%	(-.f64 x y)
✓	25.7%	(neg.f64 y)
▶	2.8%	y
✓	66.3%	x

Compiler

Compiled 40 to 28 computations (30% saved)

localize27.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)

Rules

2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	4	6

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
y
(/ -2 x)
-2
x

Outputs
y
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x

Results

12.0ms

256×

valid

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

ival-div: 2.0ms (72.1% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/ -2 x)>

Outputs
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ -2 x)
0.0ms	x	@	inf	(/ -2 x)
0.0ms	x	@	-inf	(/ -2 x)

rewrite523.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4360×	`accelerator-lowering-fma.f32`
4360×	`accelerator-lowering-fma.f64`
2606×	`-lowering-.f32`
2606×	`-lowering-.f64`
1496×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	12	3
2	43	3
3	163	3
4	667	3
5	5482	3
0	8395	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 945

Calls

Call 1

Inputs
(/ -2 x)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
0	3	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)

Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)

eval330.0ms (5%)

Compiler: Compiled 15047 to 10184 computations (32.3% saved)

prune194.0ms (2.9%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	956	1	957
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	956	8	964

Accuracy

100.0%

Counts

964 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.4%	(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x))
✓	11.1%	(/.f64 #s(literal -2 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	66.5%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	74.5%	(-.f64 x y)
✓	25.7%	(neg.f64 y)
✓	2.8%	y
✓	66.3%	x

Compiler

Compiled 49 to 34 computations (30.6% saved)

localize865.0ms (13.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) x)
✓	cost-diff	256	(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) x)
✓	accuracy	52.9%	(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x))

Rules

6758×	`-lowering-.f32`
6758×	`-lowering-.f64`
3068×	`cube-prod`
2968×	`/-lowering-/.f32`
2968×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	13	11
2	23	11
3	49	11
4	69	11
5	160	11
6	333	11
7	853	11
8	1739	11
9	2062	11
10	2529	11
11	3260	11
12	4261	11
13	4684	11
14	4945	11
15	5116	11
16	5294	11
17	5482	11
18	6852	11
19	7467	11
20	7650	11
21	7682	11
22	7698	11
23	7720	11
24	7736	11
25	7856	11
0	8012	11

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* -2 x) (* x x))
(* -2 x)
-2
x
(* x x)

Outputs
(/ (* -2 x) (* x x))
(/.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x
(* x x)
(*.f64 x x)

Results

17.0ms

256×

valid

Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions

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

ival-mult: 5.0ms (58.8% of total)

ival-div: 3.0ms (35.3% of total)

const: 1.0ms (11.8% of total)

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

series3.0ms (0%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (/ (* -2 x) (* x x))>
#<alt (* -2 x)>
#<alt (* x x)>

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x x)
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	0	(/ (* -2 x) (* x x))
0.0ms	x	@	-inf	(/ (* -2 x) (* x x))
0.0ms	x	@	inf	(/ (* -2 x) (* x x))

rewrite147.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`-lowering-.f32`
1522×	`-lowering-.f64`
1146×	`/-lowering-/.f32`
1146×	`/-lowering-/.f64`
716×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	23	9
2	118	9
3	542	9
0	3720	9

Stop Event

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

Counts

3 → 220

Calls

Call 1

Inputs
(/ (* -2 x) (* x x))
(* -2 x)
(* x x)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(/.f64 x (/.f64 x (/.f64 #s(literal -2 binary64) x)))
(/.f64 x (.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 x (.f64 x x)))
(/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -2 binary64))) (.f64 x (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 2 binary64))) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (*.f64 x x) #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 (*.f64 x x) #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (.f64 (*.f64 x x) #s(literal 4 binary64)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) x)) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal 2 binary64))) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) x)) x)
(pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x x)))
(.f64 x (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 x (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 x (/.f64 #s(literal -2 binary64) x))))
(.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (/.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) x)
(/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 4 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (.f64 (*.f64 x x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (*.f64 x x) #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (.f64 x x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 x) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 x (.f64 x x)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3 binary64))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (*.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (sqrt.f64 x) x))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`-lowering-.f32`
6×	`-lowering-.f64`
2×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	108
1	8	108
0	8	108

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

eval38.0ms (0.6%)

Compiler: Compiled 2922 to 1604 computations (45.1% saved)

prune36.0ms (0.5%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	256	8	264

Accuracy

100.0%

Counts

264 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.4%	(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x))
✓	11.1%	(/.f64 #s(literal -2 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	66.5%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	74.5%	(-.f64 x y)
✓	25.7%	(neg.f64 y)
✓	2.8%	y
✓	66.3%	x

Compiler

Compiled 84 to 54 computations (35.7% saved)

regimes10.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes23.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 y)
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x))

Outputs
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x y)
(-.f64 x (/.f64 #s(literal 2 binary64) x))

Calls

2 calls:

13.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
91.5%	3	`x`
91.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes44.0ms (0.7%)

Counts

5 → 4

Calls

Call 1

Inputs
x
y
(neg.f64 y)
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)

Outputs
x
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)
x

Calls

2 calls:

36.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
91.5%	4	`x`
85.9%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

Outputs
x
(-.f64 x y)
x

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
89.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
x
y
(neg.f64 y)

Outputs
x
(neg.f64 y)
x

Calls

2 calls:

5.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
66.3%	1	`y`
83.7%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -40.8b remaining (-189%)

Threshold costs -40.8b (-189%)

Counts

2 → 1

Calls

Call 1

Inputs
x
y

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
66.3%	1	`y`
66.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.550857822632279e+65	6.775866326782185e+78
16.0ms	-2.67109442027443e+145	-6.477933707837297e+133

Results

20.0ms

320×

valid

Compiler

Compiled 298 to 213 computations (28.5% saved)

Precisions

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

ival-div: 4.0ms (37.2% of total)

ival-sub: 2.0ms (18.6% of total)

ival-add: 2.0ms (18.6% of total)

ival-mult: 2.0ms (18.6% of total)

const: 1.0ms (9.3% of total)

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

bsearch61.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
30.0ms	2.2950565992458457e-26	6.180149112320427e-25
13.0ms	3.207029180253199e-83	1.126667869117438e-75
14.0ms	-7.441500121982134e-28	-9.493491679431434e-33

Results

45.0ms

400×

valid

Compiler

Compiled 286 to 213 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 5.0ms (34.2% of total)

ival-mult: 4.0ms (27.4% of total)

ival-sub: 2.0ms (13.7% of total)

ival-add: 2.0ms (13.7% of total)

const: 1.0ms (6.8% of total)

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

bsearch66.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.00022056889269443298	123195200807244160.0
47.0ms	-7.441500121982134e-28	-9.493491679431434e-33

Results

53.0ms

320×

valid

Compiler

Compiled 218 to 153 computations (29.8% saved)

Precisions

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

ival-div: 4.0ms (37.5% of total)

ival-sub: 2.0ms (18.7% of total)

ival-add: 2.0ms (18.7% of total)

ival-mult: 2.0ms (18.7% of total)

const: 1.0ms (9.4% of total)

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

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.696677896336769e-152	4.150259480567021e-148
13.0ms	-3.616661467995241e-71	-1.9506879348477374e-74

Results

19.0ms

256×

valid

Compiler

Compiled 162 to 125 computations (22.8% saved)

Precisions

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

ival-div: 3.0ms (29.5% of total)

ival-sub: 3.0ms (29.5% of total)

ival-mult: 2.0ms (19.7% of total)

ival-add: 1.0ms (9.8% of total)

const: 0.0ms (0% of total)

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 80 to 46 computations (42.5% saved)

preprocess40.0ms (0.6%)

Compiler: Compiled 186 to 110 computations (40.9% saved)

analyze38.0ms (0.6%)

sample896.0ms (13.5%)

preprocess74.0ms (1.1%)

explain177.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize271.0ms (4.1%)

series14.0ms (0.2%)

rewrite635.0ms (9.6%)

simplify656.0ms (9.9%)

eval105.0ms (1.6%)

prune63.0ms (1%)

localize101.0ms (1.5%)

series5.0ms (0.1%)

rewrite618.0ms (9.3%)

simplify351.0ms (5.3%)

eval44.0ms (0.7%)

prune48.0ms (0.7%)

localize27.0ms (0.4%)

series2.0ms (0%)

rewrite523.0ms (7.9%)

simplify14.0ms (0.2%)

eval330.0ms (5%)

prune194.0ms (2.9%)

localize865.0ms (13.1%)

series3.0ms (0%)

rewrite147.0ms (2.2%)

simplify19.0ms (0.3%)

eval38.0ms (0.6%)

prune36.0ms (0.5%)

regimes10.0ms (0.2%)

regimes23.0ms (0.3%)

regimes44.0ms (0.7%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch35.0ms (0.5%)

bsearch61.0ms (0.9%)

bsearch66.0ms (1%)

bsearch30.0ms (0.4%)

soundness1.0ms (0%)

preprocess40.0ms (0.6%)

end0.0ms (0%)

Profiling