Metrics for sqrt times

analyze1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample561.0ms (5.5%)

Memory

9.9MiB live, 725.4MiB allocated

Samples

367.0ms	8 251×	0	valid
0.0ms	5×	1	valid
0.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-sqrt: 108.0ms (48.8% of total)

ival-sub: 51.0ms (23% of total)

ival-mult: 48.0ms (21.7% of total)

ival-true: 6.0ms (2.7% of total)

exact: 4.0ms (1.8% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess13.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Algorithm

2×	egg-herbie

Rules

38×	`sub-neg`
22×	`+-commutative`
12×	`*-commutative`
12×	`associate-+l-`
10×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	28	26
2	45	24
3	66	24
4	84	24
5	104	24
6	125	24
7	141	24
8	142	24
0	6	7
1	12	7
2	13	7
0	13	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (- x 1)) (sqrt x))

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

Call 2

Inputs
(* (sqrt (- x 1)) (sqrt x))
(* (sqrt (- (neg x) 1)) (sqrt (neg x)))
(neg (* (sqrt (- (neg x) 1)) (sqrt (neg x))))

Outputs
(* (sqrt (- x 1)) (sqrt x))
(* (sqrt (+ x -1)) (sqrt x))
(* (sqrt (- (neg x) 1)) (sqrt (neg x)))
(* (sqrt (- -1 x)) (sqrt (neg x)))
(neg (* (sqrt (- (neg x) 1)) (sqrt (neg x))))
(* (sqrt (neg x)) (neg (sqrt (- -1 x))))

explain84.0ms (0.8%)

Memory

-16.6MiB live, 107.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

47.0ms

512×

valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sqrt: 27.0ms (79.2% of total)

ival-sub: 3.0ms (8.8% of total)

ival-mult: 3.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4×	`sqrt-lowering-sqrt.f64`
4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	12	18
2	13	18
0	13	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (- x 1)) (sqrt x))
(sqrt (- x 1))
(- x 1)
x
1
(sqrt x)

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

localize21.0ms (0.2%)

Memory

0.5MiB live, 39.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (38.5% of total)

ival-sqrt: 3.0ms (38.5% of total)

ival-sub: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (* (sqrt (- x 1)) (sqrt x))>
#<alt (sqrt (- x 1))>
#<alt (- x 1)>
#<alt (sqrt x)>

Outputs
#<alt (* (sqrt x) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))>
#<alt (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>

Calls

12 calls:

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

rewrite379.0ms (3.7%)

Memory

-26.1MiB live, 467.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 558×	`/-lowering-/.f32`
4 558×	`/-lowering-/.f64`
3 416×	`accelerator-lowering-fma.f32`
3 416×	`accelerator-lowering-fma.f64`
3 070×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	30	15
2	157	15
3	1386	15
0	8365	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 368

Calls

Call 1

Inputs
(* (sqrt (- x 1)) (sqrt x))
(sqrt (- x 1))
(- x 1)
(sqrt x)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 x #s(literal -1 binary64))))))
(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (pow.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))))) (sqrt.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 x (.f64 x x)))) (sqrt.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (sqrt.f64 (+.f64 (*.f64 x x) x)))
(/.f64 (sqrt.f64 (.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x x))))
(/.f64 (sqrt.f64 (.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) x)) (sqrt.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(.f64 (sqrt.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (pow.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(.f64 (pow.f64 (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 (-.f64 #s(literal -1 binary64) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(.f64 (+.f64 (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(.f64 (-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))))))
(.f64 (-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(.f64 (-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 x (.f64 x x))))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) (.f64 (log.f64 x) #s(literal 1/4 binary64))))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))

simplify512.0ms (5%)

Memory

-12.8MiB live, 583.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 896×	`accelerator-lowering-fma.f32`
10 896×	`accelerator-lowering-fma.f64`
4 646×	`-lowering-.f32`
4 646×	`-lowering-.f64`
1 844×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	492
1	442	431
2	1553	410
3	4080	392
0	8296	368

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 x (.f64 x (+.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 x (.f64 x (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x x) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (/.f64 (*.f64 x #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/2 binary64))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))))))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

eval64.0ms (0.6%)

Memory: 23.6MiB live, 138.3MiB allocated
Compiler: Compiled 12 115 to 1 545 computations (87.2% saved)

prune50.0ms (0.5%)

Memory

13.5MiB live, 133.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	411	5	416
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	5	417

Accuracy

100.0%

Counts

417 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
▶	99.4%	(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
▶	98.8%	(+.f64 x #s(literal -1/2 binary64))
▶	53.3%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
▶	97.5%	x

Compiler

Compiled 66 to 48 computations (27.3% saved)

simplify116.0ms (1.1%)

Memory

-24.5MiB live, 93.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	(/.f64 #s(literal 1/8 binary64) x)
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
✓	cost-diff	(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
✓	cost-diff	(+.f64 x #s(literal -1/2 binary64))
✓	cost-diff	(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
✓	cost-diff	(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
✓	cost-diff	(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
✓	cost-diff	(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))

Rules

1 608×	`accelerator-lowering-fma.f32`
1 608×	`accelerator-lowering-fma.f64`
448×	`-lowering-.f32`
448×	`-lowering-.f64`
392×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	36	79
2	65	79
3	121	79
4	226	79
5	415	79
6	836	79
7	1412	79
8	1821	79
9	2007	79
10	2047	79
11	2049	79
0	2049	79

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (- -1/2 (/ (+ 1/8 (/ 1/16 x)) x)))
x
(- -1/2 (/ (+ 1/8 (/ 1/16 x)) x))
-1/2
(/ (+ 1/8 (/ 1/16 x)) x)
(+ 1/8 (/ 1/16 x))
1/8
(/ 1/16 x)
1/16
x
(+ x -1/2)
x
-1/2
(- x (+ 1/2 (/ 1/8 x)))
x
(+ 1/2 (/ 1/8 x))
1/2
(/ 1/8 x)
1/8
(sqrt (* x (+ x -1)))
(* x (+ x -1))
x
(+ x -1)
-1

Outputs
(+ x (- -1/2 (/ (+ 1/8 (/ 1/16 x)) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x) (+.f64 x #s(literal -1/2 binary64)))
x
(- -1/2 (/ (+ 1/8 (/ 1/16 x)) x))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
-1/2
#s(literal -1/2 binary64)
(/ (+ 1/8 (/ 1/16 x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(+ 1/8 (/ 1/16 x))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
1/8
#s(literal 1/8 binary64)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
1/16
#s(literal 1/16 binary64)
x
(+ x -1/2)
(+.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(- x (+ 1/2 (/ 1/8 x)))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
x
(+ 1/2 (/ 1/8 x))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
1/2
#s(literal 1/2 binary64)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
1/8
#s(literal 1/8 binary64)
(sqrt (* x (+ x -1)))
(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* x (+ x -1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
x
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize90.0ms (0.9%)

Memory

36.5MiB live, 113.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	53.3%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
✓	accuracy	100.0%	(+.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
✓	accuracy	100.0%	(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)

Samples

67.0ms

256×

valid

Compiler

Compiled 81 to 20 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 6.0ms (34.5% of total)

ival-div: 5.0ms (28.8% of total)

ival-sub: 2.0ms (11.5% of total)

ival-sqrt: 2.0ms (11.5% of total)

ival-mult: 1.0ms (5.8% of total)

exact: 1.0ms (5.8% of total)

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

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

series21.0ms (0.2%)

Memory

-12.8MiB live, 30.2MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (+ x (- -1/2 (/ (+ 1/8 (/ 1/16 x)) x)))>
#<alt (- -1/2 (/ (+ 1/8 (/ 1/16 x)) x))>
#<alt (/ (+ 1/8 (/ 1/16 x)) x)>
#<alt (+ 1/8 (/ 1/16 x))>
#<alt (+ x -1/2)>
#<alt (- x (+ 1/2 (/ 1/8 x)))>
#<alt (+ 1/2 (/ 1/8 x))>
#<alt (/ 1/8 x)>
#<alt (sqrt (* x (+ x -1)))>
#<alt (* x (+ x -1))>
#<alt (+ x -1)>

Outputs
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt -1/2>
#<alt (* -1 (+ 1/2 (* 1/8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)>
#<alt (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)>
#<alt -1/2>
#<alt (* -1 (+ 1/2 (* 1/8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)>
#<alt (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ 1/16 x)>
#<alt (/ (+ 1/16 (* 1/8 x)) x)>
#<alt (/ (+ 1/16 (* 1/8 x)) x)>
#<alt (/ (+ 1/16 (* 1/8 x)) x)>
#<alt 1/8>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt 1/8>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt -1/2>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (/ -1/8 x)>
#<alt (/ (- (* -1/2 x) 1/8) x)>
#<alt (/ (- (* x (- x 1/2)) 1/8) x)>
#<alt (/ (- (* x (- x 1/2)) 1/8) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/2 x)) x)>
#<alt (/ (+ 1/8 (* 1/2 x)) x)>
#<alt (/ (+ 1/8 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ 1 x)))>
#<alt (+ 1/2 (* 1/8 (/ 1 x)))>
#<alt (+ 1/2 (* 1/8 (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ 1 x)))>
#<alt (+ 1/2 (* 1/8 (/ 1 x)))>
#<alt (+ 1/2 (* 1/8 (/ 1 x)))>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))>
#<alt (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))>
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(- -1/2 (/ (+ 1/8 (/ 1/16 x)) x))
3.0ms	x	@	-inf	(* x (+ x -1))
3.0ms	x	@	inf	(+ x (- -1/2 (/ (+ 1/8 (/ 1/16 x)) x)))
1.0ms	x	@	0	(/ (+ 1/8 (/ 1/16 x)) x)
1.0ms	x	@	-inf	(/ (+ 1/8 (/ 1/16 x)) x)

rewrite488.0ms (4.8%)

Memory

12.4MiB live, 679.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 656×	`/-lowering-/.f32`
4 656×	`/-lowering-/.f64`
4 076×	`-lowering-.f32`
4 076×	`-lowering-.f64`
3 902×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	138	64
2	1286	64
0	8352	64

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 565

Calls

Call 1

Inputs
(+ x (- -1/2 (/ (+ 1/8 (/ 1/16 x)) x)))
(- -1/2 (/ (+ 1/8 (/ 1/16 x)) x))
(/ (+ 1/8 (/ 1/16 x)) x)
(+ 1/8 (/ 1/16 x))
(+ x -1/2)
(- x (+ 1/2 (/ 1/8 x)))
(+ 1/2 (/ 1/8 x))
(/ 1/8 x)
(sqrt (* x (+ x -1)))
(* x (+ x -1))
(+ x -1)

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

simplify411.0ms (4%)

Memory

-22.2MiB live, 541.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 108×	`accelerator-lowering-fma.f32`
8 108×	`accelerator-lowering-fma.f64`
3 894×	`-lowering-.f32`
3 894×	`-lowering-.f64`
1 738×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	891
1	326	865
2	959	716
3	3014	684
4	5903	684
0	8130	672

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
-1/2
(* -1 (+ 1/2 (* 1/8 (/ 1 x))))
(- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)
(- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)
-1/2
(* -1 (+ 1/2 (* 1/8 (/ 1 x))))
(- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)
(- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)
(/ 1/16 (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ 1/8 x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ 1/8 x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ 1/16 x)
(/ (+ 1/16 (* 1/8 x)) x)
(/ (+ 1/16 (* 1/8 x)) x)
(/ (+ 1/16 (* 1/8 x)) x)
1/8
(+ 1/8 (* 1/16 (/ 1 x)))
(+ 1/8 (* 1/16 (/ 1 x)))
(+ 1/8 (* 1/16 (/ 1 x)))
1/8
(+ 1/8 (* 1/16 (/ 1 x)))
(+ 1/8 (* 1/16 (/ 1 x)))
(+ 1/8 (* 1/16 (/ 1 x)))
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(/ -1/8 x)
(/ (- (* -1/2 x) 1/8) x)
(/ (- (* x (- x 1/2)) 1/8) x)
(/ (- (* x (- x 1/2)) 1/8) x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(/ 1/8 x)
(/ (+ 1/8 (* 1/2 x)) x)
(/ (+ 1/8 (* 1/2 x)) x)
(/ (+ 1/8 (* 1/2 x)) x)
1/2
(+ 1/2 (* 1/8 (/ 1 x)))
(+ 1/2 (* 1/8 (/ 1 x)))
(+ 1/2 (* 1/8 (/ 1 x)))
1/2
(+ 1/2 (* 1/8 (/ 1 x)))
(+ 1/2 (* 1/8 (/ 1 x)))
(+ 1/2 (* 1/8 (/ 1 x)))
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))

Outputs
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
-1/2
#s(literal -1/2 binary64)
(* -1 (+ 1/2 (* 1/8 (/ 1 x))))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
(- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
(- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
-1/2
#s(literal -1/2 binary64)
(* -1 (+ 1/2 (* 1/8 (/ 1 x))))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
(- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
(- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
(/ 1/16 (pow x 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
(/ (+ 1/16 (* 1/8 x)) x)
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/8 binary64))) x)
(/ (+ 1/16 (* 1/8 x)) x)
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/8 binary64))) x)
(/ (+ 1/16 (* 1/8 x)) x)
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/8 binary64))) x)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/16 (/ 1 x)))
(-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))
(+ 1/8 (* 1/16 (/ 1 x)))
(-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))
(+ 1/8 (* 1/16 (/ 1 x)))
(-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/16 (/ 1 x)))
(-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))
(+ 1/8 (* 1/16 (/ 1 x)))
(-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))
(+ 1/8 (* 1/16 (/ 1 x)))
(-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(/ -1/8 x)
(/.f64 #s(literal -1/8 binary64) x)
(/ (- (* -1/2 x) 1/8) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
(/ (- (* x (- x 1/2)) 1/8) x)
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(/ (- (* x (- x 1/2)) 1/8) x)
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/ (+ 1/8 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/ (+ 1/8 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+ 1/2 (* 1/8 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+ 1/2 (* 1/8 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+ 1/2 (* 1/8 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+ 1/2 (* 1/8 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 x x)))))))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) x) x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(+.f64 (-.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

eval226.0ms (2.2%)

Memory: 14.3MiB live, 170.4MiB allocated
Compiler: Compiled 20 219 to 2 126 computations (89.5% saved)

prune245.0ms (2.4%)

Memory

-28.6MiB live, 194.8MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	691	6	697
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	693	9	702

Accuracy

100.0%

Counts

702 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.0%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
▶	31.4%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))))
	31.4%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))) (*.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
▶	31.0%	(-.f64 (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))))
▶	99.2%	(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
▶	99.4%	(-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
✓	98.8%	(+.f64 x #s(literal -1/2 binary64))
✓	53.3%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	97.5%	x

Compiler

Compiled 453 to 195 computations (57% saved)

simplify768.0ms (7.5%)

Memory

3.3MiB live, 748.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64))))))
✓	cost-diff	0	(-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x))))))
✓	cost-diff	128	(*.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))
✓	cost-diff	1024	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))))
✓	cost-diff	0	(-.f64 (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))))
✓	cost-diff	128	(*.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	512	(/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	cost-diff	1024	(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	cost-diff	0	(-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	768	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	cost-diff	0	(/.f64 #s(literal 1/8 binary64) x)
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 1/8 binary64) x))
✓	cost-diff	0	(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
✓	cost-diff	0	(-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)
✓	cost-diff	0	(-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))

Rules

9 732×	`accelerator-lowering-fma.f32`
9 732×	`accelerator-lowering-fma.f64`
3 442×	`-lowering-.f32`
3 442×	`-lowering-.f64`
2 922×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	499
1	156	463
2	664	433
3	3290	419
0	8072	407

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- -1/2 (- (/ (+ 1/8 (/ 1/16 x)) x) x))
-1/2
(- (/ (+ 1/8 (/ 1/16 x)) x) x)
(/ (+ 1/8 (/ 1/16 x)) x)
(+ 1/8 (/ 1/16 x))
1/8
(/ 1/16 x)
1/16
x
(- (- x (/ 1/8 x)) 1/2)
(- x (/ 1/8 x))
x
(/ 1/8 x)
1/8
1/2
(/ (- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1)) (* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x)))))
(- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1))
(* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x))))
(- 1/4 (* x x))
1/4
(* x x)
x
(/ x (+ 1/8 (/ 1/16 x)))
(+ 1/8 (/ 1/16 x))
1/8
(/ 1/16 x)
1/16
(* (- -1/2 x) 1)
(- -1/2 x)
-1/2
1
(* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x))))
(- (/ (* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x)))) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))) (/ (* (+ x 1/2) 1) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))))
(/ (* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x)))) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x)))))
(* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x))))
(+ (* x x) -1/4)
(* x x)
x
-1/4
(/ x (+ 1/8 (/ 1/16 x)))
(+ 1/8 (/ 1/16 x))
1/8
(/ 1/16 x)
1/16
(* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))
(+ x 1/2)
1/2
(/ (* (+ x 1/2) 1) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x)))))
(* (+ x 1/2) 1)
1
(/ (- (* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))) (* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x)))))) (* (- -1/2 x) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))))
(- (* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))) (* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x))))))
(* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16)))))
(- 1/4 (* x x))
1/4
(* x x)
x
(* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))
(+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16)))
1/64
(/ (- (/ 1/16 x) 1/8) (/ x 1/16))
(- (/ 1/16 x) 1/8)
(/ 1/16 x)
1/16
1/8
(/ x 1/16)
(* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x)))))
(- -1/2 x)
-1/2
(+ 1/512 (/ 1/4096 (* x (* x x))))
1/512
(/ 1/4096 (* x (* x x)))
1/4096
(* x (* x x))
(* (- -1/2 x) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16)))))

Outputs
(- -1/2 (- (/ (+ 1/8 (/ 1/16 x)) x) x))
(+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
-1/2
#s(literal -1/2 binary64)
(- (/ (+ 1/8 (/ 1/16 x)) x) x)
(-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)
(/ (+ 1/8 (/ 1/16 x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(+ 1/8 (/ 1/16 x))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
1/8
#s(literal 1/8 binary64)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
1/16
#s(literal 1/16 binary64)
x
(- (- x (/ 1/8 x)) 1/2)
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(- x (/ 1/8 x))
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
x
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
1/8
#s(literal 1/8 binary64)
1/2
#s(literal 1/2 binary64)
(/ (- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1)) (* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x)))))
(-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
(- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))))
(* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(- 1/4 (* x x))
(-.f64 #s(literal 1/4 binary64) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(* x x)
(*.f64 x x)
x
(/ x (+ 1/8 (/ 1/16 x)))
(/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(+ 1/8 (/ 1/16 x))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
1/8
#s(literal 1/8 binary64)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
1/16
#s(literal 1/16 binary64)
(* (- -1/2 x) 1)
(-.f64 #s(literal -1/2 binary64) x)
(- -1/2 x)
(-.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x))))
(/.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(- (/ (* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x)))) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))) (/ (* (+ x 1/2) 1) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))))
(-.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
(/ (* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x)))) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x)))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x))))
(/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(+ (* x x) -1/4)
(+.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* x x)
(*.f64 x x)
x
-1/4
#s(literal -1/4 binary64)
(/ x (+ 1/8 (/ 1/16 x)))
(/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(+ 1/8 (/ 1/16 x))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
1/8
#s(literal 1/8 binary64)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
1/16
#s(literal 1/16 binary64)
(* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))
(/.f64 (*.f64 x (+.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(+ x 1/2)
(+.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (* (+ x 1/2) 1) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(* (+ x 1/2) 1)
(+.f64 x #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(/ (- (* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))) (* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x)))))) (* (- -1/2 x) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))))
(+.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (-.f64 #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x x)) x)) (+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))))))
(- (* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))) (* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x))))))
(+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x x)) x))))
(* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)))))
(- 1/4 (* x x))
(-.f64 #s(literal 1/4 binary64) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(* x x)
(*.f64 x x)
x
(* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))
(+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))))
(+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16)))
(+.f64 #s(literal 1/64 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (/.f64 x #s(literal 1/16 binary64))))
1/64
#s(literal 1/64 binary64)
(/ (- (/ 1/16 x) 1/8) (/ x 1/16))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))
(- (/ 1/16 x) 1/8)
(+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
1/16
#s(literal 1/16 binary64)
1/8
#s(literal 1/8 binary64)
(/ x 1/16)
(/.f64 x #s(literal 1/16 binary64))
(* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x)))))
(.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x x)) x)))
(- -1/2 x)
(-.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(+ 1/512 (/ 1/4096 (* x (* x x))))
(+.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 x x)) x))
1/512
#s(literal 1/512 binary64)
(/ 1/4096 (* x (* x x)))
(/.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 x x)) x)
1/4096
#s(literal 1/4096 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* (- -1/2 x) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16)))))
(.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 (.f64 x #s(literal 1/64 binary64)) (*.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)))))

localize217.0ms (2.1%)

Memory

18.2MiB live, 289.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64))))))
✓	accuracy	99.7%	(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x)))
✓	accuracy	35.3%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	accuracy	53.2%	(/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	accuracy	34.9%	(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	accuracy	34.9%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1/8 binary64) x))
✓	accuracy	100.0%	(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)

Samples

112.0ms

256×

valid

Compiler

Compiled 533 to 51 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 45.0ms (52.7% of total)

ival-div: 23.0ms (26.9% of total)

ival-sub: 10.0ms (11.7% of total)

ival-add: 6.0ms (7% of total)

exact: 1.0ms (1.2% of total)

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

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

series20.0ms (0.2%)

Memory

-3.9MiB live, 33.3MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (- -1/2 (- (/ (+ 1/8 (/ 1/16 x)) x) x))>
#<alt (- (/ (+ 1/8 (/ 1/16 x)) x) x)>
#<alt (/ (+ 1/8 (/ 1/16 x)) x)>
#<alt (+ 1/8 (/ 1/16 x))>
#<alt (- (- x (/ 1/8 x)) 1/2)>
#<alt (- x (/ 1/8 x))>
#<alt (/ 1/8 x)>
#<alt (/ (- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1)) (* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x)))))>
#<alt (* (- -1/2 x) 1)>
#<alt (- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1))>
#<alt (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x))))>
#<alt (/ (* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x)))) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x)))))>
#<alt (/ (* (+ x 1/2) 1) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x)))))>
#<alt (* (+ x 1/2) 1)>
#<alt (- (/ (* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x)))) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))) (/ (* (+ x 1/2) 1) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))))>
#<alt (/ (- (* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))) (* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x)))))) (* (- -1/2 x) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))))>
#<alt (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))>
#<alt (- (* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))) (* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x))))))>
#<alt (* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16)))))>
#<alt (/ x (+ 1/8 (/ 1/16 x)))>
#<alt (* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x))))>
#<alt (* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x))))>
#<alt (/ 1/4096 (* x (* x x)))>
#<alt (/ (- (/ 1/16 x) 1/8) (/ x 1/16))>

Outputs
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* x (+ 1/8 (* -1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/16 (* x (+ 1/8 (* -1 (pow x 2))))) (pow x 2))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/8 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (+ (/ 1/16 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1))>
#<alt (* x (- (+ (/ 1/16 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2))))))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ 1/16 x)>
#<alt (/ (+ 1/16 (* 1/8 x)) x)>
#<alt (/ (+ 1/16 (* 1/8 x)) x)>
#<alt (/ (+ 1/16 (* 1/8 x)) x)>
#<alt 1/8>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt 1/8>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt (+ 1/8 (* 1/16 (/ 1 x)))>
#<alt (/ -1/8 x)>
#<alt (/ (- (* -1/2 x) 1/8) x)>
#<alt (/ (- (* x (- x 1/2)) 1/8) x)>
#<alt (/ (- (* x (- x 1/2)) 1/8) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (/ -1/8 x)>
#<alt (/ (- (pow x 2) 1/8) x)>
#<alt (/ (- (pow x 2) 1/8) x)>
#<alt (/ (- (pow x 2) 1/8) x)>
#<alt x>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))>
#<alt -1/2>
#<alt (- (* -1 x) 1/2)>
#<alt (- (* -1 x) 1/2)>
#<alt (- (* -1 x) 1/2)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt 1/2>
#<alt (+ 1/2 x)>
#<alt (+ 1/2 (* x (+ 1 (* 4 x))))>
#<alt (+ 1/2 (* x (+ 1 (* x (+ 4 (* -8 x))))))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (+ (* 4 (/ 1 x)) (/ 1 (pow x 2))) 8))>
#<alt (* (pow x 3) (- (+ (* 4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) x)))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt -1/2>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt 1/2>
#<alt (+ 1/2 x)>
#<alt (+ 1/2 x)>
#<alt (+ 1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))>
#<alt (/ 1/256 x)>
#<alt (/ (+ 1/256 (* -1/128 x)) x)>
#<alt (/ (+ 1/256 (* x (- (* 1/64 x) 1/128))) x)>
#<alt (/ (+ 1/256 (* x (- (* 1/64 x) 1/128))) x)>
#<alt (* 1/64 x)>
#<alt (* x (- 1/64 (* 1/128 (/ 1 x))))>
#<alt (* x (- (+ 1/64 (/ 1/256 (pow x 2))) (* 1/128 (/ 1 x))))>
#<alt (* x (- (+ 1/64 (/ 1/256 (pow x 2))) (* 1/128 (/ 1 x))))>
#<alt (* 1/64 x)>
#<alt (* -1 (* x (- (* 1/128 (/ 1 x)) 1/64)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/256 (/ 1 x)) 1/128) x)) 1/64)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/256 (/ 1 x)) 1/128) x)) 1/64)))>
#<alt (/ 1/8192 (pow x 3))>
#<alt (/ (+ 1/8192 (* 1/4096 x)) (pow x 3))>
#<alt (/ (+ 1/8192 (* x (+ 1/4096 (* 1/1024 x)))) (pow x 3))>
#<alt (/ (+ 1/8192 (* x (+ 1/4096 (* x (+ 1/1024 (* -1/1024 x)))))) (pow x 3))>
#<alt (* -1/64 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/128 (/ 1 x)) 1/64))>
#<alt (* (pow x 3) (- (+ (/ 1/512 (pow x 2)) (* 1/128 (/ 1 x))) 1/64))>
#<alt (* (pow x 3) (- (+ (/ 1/512 (pow x 2)) (* 1/128 (/ 1 x))) (+ 1/64 (* 1/1024 (/ 1 (pow x 3))))))>
#<alt (* -1/64 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/64 (* 1/128 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/64 (* -1 (/ (+ 1/128 (* 1/512 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/64 (* -1 (/ (+ 1/128 (* -1 (/ (- (* 1/1024 (/ 1 x)) 1/512) x))) x)))))>
#<alt (/ 1/1024 x)>
#<alt (/ (+ 1/1024 (* -1/512 x)) x)>
#<alt (/ (+ 1/1024 (* x (- (* 1/128 (pow x 2)) 1/512))) x)>
#<alt (/ (+ 1/1024 (* x (- (* (pow x 2) (+ 1/128 (* -1/64 x))) 1/512))) x)>
#<alt (* -1/64 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/128 (/ 1 x)) 1/64))>
#<alt (* (pow x 3) (- (* 1/128 (/ 1 x)) (+ 1/64 (/ 1/512 (pow x 3)))))>
#<alt (* (pow x 3) (- (+ (* 1/128 (/ 1 x)) (* 1/1024 (/ 1 (pow x 4)))) (+ 1/64 (/ 1/512 (pow x 3)))))>
#<alt (* -1/64 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/64 (* 1/128 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/64 (* -1 (/ (- 1/128 (* 1/512 (/ 1 (pow x 2)))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/64 (* -1 (/ (- (+ 1/128 (/ 1/1024 (pow x 3))) (* 1/512 (/ 1 (pow x 2)))) x)))))>
#<alt (* 16 (pow x 2))>
#<alt (* (pow x 2) (+ 16 (* -32 x)))>
#<alt (* (pow x 2) (+ 16 (* x (- (* 64 x) 32))))>
#<alt (* (pow x 2) (+ 16 (* x (- (* x (+ 64 (* -128 x))) 32))))>
#<alt (* 8 x)>
#<alt (* x (- 8 (* 4 (/ 1 x))))>
#<alt (* x (- (+ 8 (/ 2 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* x (- (+ 8 (/ 2 (pow x 2))) (+ (* 4 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 8 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 8)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 4) x)) 8)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 2) x)) 4) x)) 8)))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 8 x) 4))>
#<alt (* (pow x 2) (- (* 8 x) 4))>
#<alt (* (pow x 2) (- (* 8 x) 4))>
#<alt (* 8 (pow x 3))>
#<alt (* (pow x 3) (- 8 (* 4 (/ 1 x))))>
#<alt (* (pow x 3) (- 8 (* 4 (/ 1 x))))>
#<alt (* (pow x 3) (- 8 (* 4 (/ 1 x))))>
#<alt (* 8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 4 (/ 1 x)) 8)))>
#<alt (* -1 (* (pow x 3) (- (* 4 (/ 1 x)) 8)))>
#<alt (* -1 (* (pow x 3) (- (* 4 (/ 1 x)) 8)))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/4096 (pow x 3))>
#<alt (/ 1/256 (pow x 2))>
#<alt (/ (+ 1/256 (* -1/128 x)) (pow x 2))>
#<alt (/ (+ 1/256 (* -1/128 x)) (pow x 2))>
#<alt (/ (+ 1/256 (* -1/128 x)) (pow x 2))>
#<alt (/ -1/128 x)>
#<alt (/ (- (* 1/256 (/ 1 x)) 1/128) x)>
#<alt (/ (- (* 1/256 (/ 1 x)) 1/128) x)>
#<alt (/ (- (* 1/256 (/ 1 x)) 1/128) x)>
#<alt (/ -1/128 x)>
#<alt (* -1 (/ (- 1/128 (* 1/256 (/ 1 x))) x))>
#<alt (* -1 (/ (- 1/128 (* 1/256 (/ 1 x))) x))>
#<alt (* -1 (/ (- 1/128 (* 1/256 (/ 1 x))) x))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (- (* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))) (* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x)))))) (* (- -1/2 x) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))))
1.0ms	x	@	0	(* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x))))
1.0ms	x	@	inf	(* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x))))
1.0ms	x	@	-inf	(* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x))))
1.0ms	x	@	0	(/ 1/4096 (* x (* x x)))

rewrite714.0ms (7%)

Memory

-4.9MiB live, 732.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 678×	`-lowering-.f32`
4 678×	`-lowering-.f64`
4 128×	`/-lowering-/.f32`
4 128×	`/-lowering-/.f64`
3 800×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	330
1	400	262
2	4826	262
0	9272	255

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 121

Calls

Call 1

Inputs
(- -1/2 (- (/ (+ 1/8 (/ 1/16 x)) x) x))
(- (/ (+ 1/8 (/ 1/16 x)) x) x)
(/ (+ 1/8 (/ 1/16 x)) x)
(+ 1/8 (/ 1/16 x))
(- (- x (/ 1/8 x)) 1/2)
(- x (/ 1/8 x))
(/ 1/8 x)
(/ (- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1)) (* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x)))))
(* (- -1/2 x) 1)
(- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1))
(* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x))))
(/ (* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x)))) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x)))))
(/ (* (+ x 1/2) 1) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x)))))
(* (+ x 1/2) 1)
(- (/ (* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x)))) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))) (/ (* (+ x 1/2) 1) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))))
(/ (- (* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))) (* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x)))))) (* (- -1/2 x) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))))
(* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))
(- (* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16))))) (* (- -1/2 x) (+ 1/512 (/ 1/4096 (* x (* x x))))))
(* (- 1/4 (* x x)) (* x (+ 1/64 (/ (- (/ 1/16 x) 1/8) (/ x 1/16)))))
(/ x (+ 1/8 (/ 1/16 x)))
(* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x))))
(* (+ (* x x) -1/4) (/ x (+ 1/8 (/ 1/16 x))))
(/ 1/4096 (* x (* x x)))
(/ (- (/ 1/16 x) 1/8) (/ x 1/16))

Outputs
(+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)) #s(literal -1/2 binary64))
(+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)
(-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
(-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))) (/.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))) (+.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))) (/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))) (-.f64 #s(literal -1/8 binary64) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))))
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(fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/16 binary64) x)) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/16 binary64) x)) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 1/16 binary64))) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 1/16 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal 1/16 binary64) x) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x x)) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) #s(literal 1/16 binary64) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/16 binary64) x) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 (.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/16 binary64) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/256 binary64) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/256 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) #s(literal 1/256 binary64) (neg.f64 (/.f64 #s(literal 1/128 binary64) x)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) #s(literal 1/256 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (/.f64 x #s(literal -1/16 binary64))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1/16 binary64) x)) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1/16 binary64) x)) #s(literal 1/8 binary64)) (/.f64 x #s(literal -1/16 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x))) #s(literal -1/512 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) (/.f64 #s(literal 1/256 binary64) (.f64 x x))) (+.f64 (.f64 (/.f64 #s(literal 1/128 binary64) x) (/.f64 #s(literal 1/128 binary64) x)) (.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 x x)) (/.f64 #s(literal 1/128 binary64) x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x))) #s(literal -1/512 binary64)) (.f64 (/.f64 x #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/128 binary64) x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) #s(literal -1/64 binary64)) (.f64 (/.f64 x #s(literal 1/16 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 16 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) (.f64 (/.f64 x #s(literal 1/16 binary64)) (/.f64 x #s(literal 1/16 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 x #s(literal 1/16 binary64)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x))) #s(literal -1/512 binary64)) #s(literal 1/16 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 x x)) (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/128 binary64) x))) x))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x))) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 x x)) (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/128 binary64) x))) (/.f64 x #s(literal 1/16 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x))) #s(literal -1/512 binary64)) #s(literal -1/16 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 x x)) (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/128 binary64) x))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/16 binary64)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 x #s(literal 1/16 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/16 binary64)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1/16 binary64) x)) #s(literal 1/8 binary64))) (/.f64 x #s(literal 1/16 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) (/.f64 #s(literal 1/256 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1/128 binary64) x) (/.f64 #s(literal 1/128 binary64) x))) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 x x)) (/.f64 #s(literal 1/128 binary64) x)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) #s(literal 1/16 binary64)) x)
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x))) #s(literal -1/512 binary64)) (/.f64 #s(literal 1/16 binary64) x)) (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/128 binary64) x))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1/16 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(pow.f64 (/.f64 (/.f64 x #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 x #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x))
(*.f64 (/.f64 #s(literal 1/16 binary64) x) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)))
(*.f64 (/.f64 #s(literal 1/16 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (/.f64 x #s(literal 1/16 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/16 binary64) x))
(*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1/16 binary64) x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/16 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/16 binary64))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/16 binary64) x))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/16 binary64))
(.f64 (pow.f64 (/.f64 (/.f64 x #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x))) #s(literal -1/512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/128 binary64) x)))))
(.f64 (pow.f64 (/.f64 (/.f64 x #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))

simplify376.0ms (3.7%)

Memory

9.4MiB live, 628.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 404×	`accelerator-lowering-fma.f32`
8 404×	`accelerator-lowering-fma.f64`
4 618×	`-lowering-.f32`
4 618×	`-lowering-.f64`
3 154×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	2185
1	895	2131
2	2614	1916
3	6594	1870
0	8529	1811

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(/ 1/16 (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* x (+ 1/8 (* -1 (pow x 2))))) (pow x 2))
(/ (+ 1/16 (* x (+ 1/8 (* -1 (pow x 2))))) (pow x 2))
(* -1 x)
(* x (- (* 1/8 (/ 1 (pow x 2))) 1))
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1))
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1))
(* -1 x)
(* -1 (* x (- 1 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2))))))
(/ 1/16 (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ 1/8 x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ 1/8 x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ 1/16 x)
(/ (+ 1/16 (* 1/8 x)) x)
(/ (+ 1/16 (* 1/8 x)) x)
(/ (+ 1/16 (* 1/8 x)) x)
1/8
(+ 1/8 (* 1/16 (/ 1 x)))
(+ 1/8 (* 1/16 (/ 1 x)))
(+ 1/8 (* 1/16 (/ 1 x)))
1/8
(+ 1/8 (* 1/16 (/ 1 x)))
(+ 1/8 (* 1/16 (/ 1 x)))
(+ 1/8 (* 1/16 (/ 1 x)))
(/ -1/8 x)
(/ (- (* -1/2 x) 1/8) x)
(/ (- (* x (- x 1/2)) 1/8) x)
(/ (- (* x (- x 1/2)) 1/8) x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(/ -1/8 x)
(/ (- (pow x 2) 1/8) x)
(/ (- (pow x 2) 1/8) x)
(/ (- (pow x 2) 1/8) x)
x
(* x (- 1 (* 1/8 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/8 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/8 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
-1/2
(- (* -1 x) 1/2)
(- (* -1 x) 1/2)
(- (* -1 x) 1/2)
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
1/2
(+ 1/2 x)
(+ 1/2 (* x (+ 1 (* 4 x))))
(+ 1/2 (* x (+ 1 (* x (+ 4 (* -8 x))))))
(* -8 (pow x 3))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (/ 1 (pow x 2))) 8))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) x)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -8 x)))
(* (pow x 2) (+ 4 (* -8 x)))
(* (pow x 2) (+ 4 (* -8 x)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(/ 1/16 (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ 1/8 x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ 1/8 x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
1/2
(+ 1/2 x)
(+ 1/2 x)
(+ 1/2 x)
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* 1/2 (/ 1 x))))
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(/ 1/256 x)
(/ (+ 1/256 (* -1/128 x)) x)
(/ (+ 1/256 (* x (- (* 1/64 x) 1/128))) x)
(/ (+ 1/256 (* x (- (* 1/64 x) 1/128))) x)
(* 1/64 x)
(* x (- 1/64 (* 1/128 (/ 1 x))))
(* x (- (+ 1/64 (/ 1/256 (pow x 2))) (* 1/128 (/ 1 x))))
(* x (- (+ 1/64 (/ 1/256 (pow x 2))) (* 1/128 (/ 1 x))))
(* 1/64 x)
(* -1 (* x (- (* 1/128 (/ 1 x)) 1/64)))
(* -1 (* x (- (* -1 (/ (- (* 1/256 (/ 1 x)) 1/128) x)) 1/64)))
(* -1 (* x (- (* -1 (/ (- (* 1/256 (/ 1 x)) 1/128) x)) 1/64)))
(/ 1/8192 (pow x 3))
(/ (+ 1/8192 (* 1/4096 x)) (pow x 3))
(/ (+ 1/8192 (* x (+ 1/4096 (* 1/1024 x)))) (pow x 3))
(/ (+ 1/8192 (* x (+ 1/4096 (* x (+ 1/1024 (* -1/1024 x)))))) (pow x 3))
(* -1/64 (pow x 3))
(* (pow x 3) (- (* 1/128 (/ 1 x)) 1/64))
(* (pow x 3) (- (+ (/ 1/512 (pow x 2)) (* 1/128 (/ 1 x))) 1/64))
(* (pow x 3) (- (+ (/ 1/512 (pow x 2)) (* 1/128 (/ 1 x))) (+ 1/64 (* 1/1024 (/ 1 (pow x 3))))))
(* -1/64 (pow x 3))
(* -1 (* (pow x 3) (- 1/64 (* 1/128 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/64 (* -1 (/ (+ 1/128 (* 1/512 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/64 (* -1 (/ (+ 1/128 (* -1 (/ (- (* 1/1024 (/ 1 x)) 1/512) x))) x)))))
(/ 1/1024 x)
(/ (+ 1/1024 (* -1/512 x)) x)
(/ (+ 1/1024 (* x (- (* 1/128 (pow x 2)) 1/512))) x)
(/ (+ 1/1024 (* x (- (* (pow x 2) (+ 1/128 (* -1/64 x))) 1/512))) x)
(* -1/64 (pow x 3))
(* (pow x 3) (- (* 1/128 (/ 1 x)) 1/64))
(* (pow x 3) (- (* 1/128 (/ 1 x)) (+ 1/64 (/ 1/512 (pow x 3)))))
(* (pow x 3) (- (+ (* 1/128 (/ 1 x)) (* 1/1024 (/ 1 (pow x 4)))) (+ 1/64 (/ 1/512 (pow x 3)))))
(* -1/64 (pow x 3))
(* -1 (* (pow x 3) (- 1/64 (* 1/128 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/64 (* -1 (/ (- 1/128 (* 1/512 (/ 1 (pow x 2)))) x)))))
(* -1 (* (pow x 3) (+ 1/64 (* -1 (/ (- (+ 1/128 (/ 1/1024 (pow x 3))) (* 1/512 (/ 1 (pow x 2)))) x)))))
(* 16 (pow x 2))
(* (pow x 2) (+ 16 (* -32 x)))
(* (pow x 2) (+ 16 (* x (- (* 64 x) 32))))
(* (pow x 2) (+ 16 (* x (- (* x (+ 64 (* -128 x))) 32))))
(* 8 x)
(* x (- 8 (* 4 (/ 1 x))))
(* x (- (+ 8 (/ 2 (pow x 2))) (* 4 (/ 1 x))))
(* x (- (+ 8 (/ 2 (pow x 2))) (+ (* 4 (/ 1 x)) (/ 1 (pow x 3)))))
(* 8 x)
(* -1 (* x (- (* 4 (/ 1 x)) 8)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 4) x)) 8)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 2) x)) 4) x)) 8)))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -4 (pow x 2))
(* (pow x 2) (- (* 8 x) 4))
(* (pow x 2) (- (* 8 x) 4))
(* (pow x 2) (- (* 8 x) 4))
(* 8 (pow x 3))
(* (pow x 3) (- 8 (* 4 (/ 1 x))))
(* (pow x 3) (- 8 (* 4 (/ 1 x))))
(* (pow x 3) (- 8 (* 4 (/ 1 x))))
(* 8 (pow x 3))
(* -1 (* (pow x 3) (- (* 4 (/ 1 x)) 8)))
(* -1 (* (pow x 3) (- (* 4 (/ 1 x)) 8)))
(* -1 (* (pow x 3) (- (* 4 (/ 1 x)) 8)))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/4096 (pow x 3))
(/ 1/256 (pow x 2))
(/ (+ 1/256 (* -1/128 x)) (pow x 2))
(/ (+ 1/256 (* -1/128 x)) (pow x 2))
(/ (+ 1/256 (* -1/128 x)) (pow x 2))
(/ -1/128 x)
(/ (- (* 1/256 (/ 1 x)) 1/128) x)
(/ (- (* 1/256 (/ 1 x)) 1/128) x)
(/ (- (* 1/256 (/ 1 x)) 1/128) x)
(/ -1/128 x)
(* -1 (/ (- 1/128 (* 1/256 (/ 1 x))) x))
(* -1 (/ (- 1/128 (* 1/256 (/ 1 x))) x))
(* -1 (/ (- 1/128 (* 1/256 (/ 1 x))) x))

Outputs
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
(+.f64 (-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(/ 1/16 (pow x 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ (+ 1/16 (* x (+ 1/8 (* -1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 x x)))) (*.f64 x x))
(/ (+ 1/16 (* x (+ 1/8 (* -1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 x x)))) (*.f64 x x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/8 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (*.f64 x x))))))
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (*.f64 x x))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 1/8 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)
(/ 1/16 (pow x 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
(/ (+ 1/16 (* 1/8 x)) x)
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/8 binary64))) x)
(/ (+ 1/16 (* 1/8 x)) x)
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/8 binary64))) x)
(/ (+ 1/16 (* 1/8 x)) x)
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/8 binary64))) x)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/16 (/ 1 x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
(+ 1/8 (* 1/16 (/ 1 x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
(+ 1/8 (* 1/16 (/ 1 x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/16 (/ 1 x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
(+ 1/8 (* 1/16 (/ 1 x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
(+ 1/8 (* 1/16 (/ 1 x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
(/ -1/8 x)
(/.f64 #s(literal -1/8 binary64) x)
(/ (- (* -1/2 x) 1/8) x)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/ (- (* x (- x 1/2)) 1/8) x)
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(/ (- (* x (- x 1/2)) 1/8) x)
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(/ -1/8 x)
(/.f64 #s(literal -1/8 binary64) x)
(/ (- (pow x 2) 1/8) x)
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
(/ (- (pow x 2) 1/8) x)
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
(/ (- (pow x 2) 1/8) x)
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
(* x (- 1 (* 1/8 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
(* x (- 1 (* 1/8 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -1/8 binary64) x))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
(+.f64 (-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
-1/2
#s(literal -1/2 binary64)
(- (* -1 x) 1/2)
(-.f64 #s(literal -1/2 binary64) x)
(- (* -1 x) 1/2)
(-.f64 #s(literal -1/2 binary64) x)
(- (* -1 x) 1/2)
(-.f64 #s(literal -1/2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 x)
(+.f64 x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1 (* 4 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 4 binary64)))))
(+ 1/2 (* x (+ 1 (* x (+ 4 (* -8 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64)))))))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (/ 1 (pow x 2))) 8))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x)) (*.f64 x x))))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) 8))
(.f64 (.f64 x x) (.f64 x (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))))))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (/ 1 x)) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) x)))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 4 (* -8 x)))
(.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64))))
(* (pow x 2) (+ 4 (* -8 x)))
(.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64))))
(* (pow x 2) (+ 4 (* -8 x)))
(.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
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(/.f64 (+.f64 #s(literal -1/128 binary64) (/.f64 #s(literal 1/256 binary64) x)) x)
(* -1 (/ (- 1/128 (* 1/256 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/128 binary64) (/.f64 #s(literal 1/256 binary64) x)) x)

eval385.0ms (3.8%)

Memory: 31.8MiB live, 524.3MiB allocated
Compiler: Compiled 82 041 to 4 874 computations (94.1% saved)

prune213.0ms (2.1%)

Memory

6.6MiB live, 496.9MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 932	7	1 939
Fresh	1	0	1
Picked	3	2	5
Done	0	3	3
Total	1 936	12	1 948

Accuracy

100.0%

Counts

1 948 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.0%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 x (*.f64 x #s(literal -8 binary64))))
▶	30.9%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
	31.0%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
▶	31.0%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -8 binary64)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
▶	52.7%	(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))
	31.1%	(-.f64 (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) x))))))
▶	99.1%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))))
✓	99.2%	(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
✓	99.4%	(-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
✓	98.8%	(+.f64 x #s(literal -1/2 binary64))
✓	53.3%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	97.5%	x

Compiler

Compiled 497 to 300 computations (39.6% saved)

simplify368.0ms (3.6%)

Memory

-21.0MiB live, 416.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
✓	cost-diff	768	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	cost-diff	0	(-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)
✓	cost-diff	0	(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
✓	cost-diff	0	(-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -8 binary64)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -8 binary64)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	cost-diff	0	(-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 x (*.f64 x #s(literal -8 binary64))))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))))
✓	cost-diff	128	(*.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	512	(/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))

Rules

5 984×	`accelerator-lowering-fma.f32`
5 984×	`accelerator-lowering-fma.f64`
3 194×	`-lowering-.f32`
3 194×	`-lowering-.f64`
2 514×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	527
1	138	501
2	516	497
3	2217	477
4	7504	477
0	8051	466

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize482.0ms (4.7%)

Memory

25.2MiB live, 413.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
✓	accuracy	34.9%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
✓	accuracy	100.0%	(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
✓	accuracy	53.3%	(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64))))
✓	accuracy	34.9%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -8 binary64)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	accuracy	100.0%	(-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	accuracy	34.9%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 x (*.f64 x #s(literal -8 binary64))))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	53.2%	(/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))

Samples

99.0ms

256×

valid

Compiler

Compiled 551 to 46 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 33.0ms (50.3% of total)

ival-div: 17.0ms (25.9% of total)

ival-sub: 8.0ms (12.2% of total)

ival-add: 6.0ms (9.1% of total)

exact: 1.0ms (1.5% of total)

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

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

series9.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ (* (+ x 1/2) 1) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x)))))>
#<alt (/ 1 (/ 1 (+ -1/2 x)))>
#<alt (* (+ x 1/2) 1)>
#<alt (- (/ 1 (/ 1 (+ -1/2 x))) (/ (* (+ x 1/2) 1) (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))))>
#<alt (/ (- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1)) (* x (* x -8)))>
#<alt (* (- -1/2 x) 1)>
#<alt (- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1))>
#<alt (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x))))>
#<alt (/ (- (* (* x x) (+ 4 (* x -8))) (* (- -1/2 x) 1)) (* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x)))))>
#<alt (- (* (* x x) (+ 4 (* x -8))) (* (- -1/2 x) 1))>
#<alt (* (* x x) (+ 4 (* x -8)))>
#<alt (/ (- 1/4 (* (- (/ (+ 1/8 (/ 1/16 x)) x) x) (- (/ (+ 1/8 (/ 1/16 x)) x) x))) (+ -1/2 (- (/ (+ 1/8 (/ 1/16 x)) x) x)))>
#<alt (- 1/4 (* (- (/ (+ 1/8 (/ 1/16 x)) x) x) (- (/ (+ 1/8 (/ 1/16 x)) x) x)))>
#<alt (* (- (/ (+ 1/8 (/ 1/16 x)) x) x) (- (/ (+ 1/8 (/ 1/16 x)) x) x))>
#<alt (- (/ (+ 1/8 (/ 1/16 x)) x) x)>
#<alt (/ (- (* (- 1/4 (* x x)) (/ 1 (/ (+ 1/8 (/ 1/16 x)) x))) (* (- -1/2 x) 1)) (* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x)))))>
#<alt (/ 1 (/ (+ 1/8 (/ 1/16 x)) x))>
#<alt (- (* (- 1/4 (* x x)) (/ 1 (/ (+ 1/8 (/ 1/16 x)) x))) (* (- -1/2 x) 1))>
#<alt (/ x (+ 1/8 (/ 1/16 x)))>
#<alt (* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))>
#<alt (* (- -1/2 x) (/ x (+ 1/8 (/ 1/16 x))))>
#<alt (/ (+ 1/8 (/ 1/16 x)) x)>
#<alt (+ -1/2 (- (/ (+ 1/8 (/ 1/16 x)) x) x))>
#<alt (* (- 1/4 (* x x)) (/ 1 (/ (+ 1/8 (/ 1/16 x)) x)))>

Outputs
#<alt (/ 1/16 (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt -1/2>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt 1/2>
#<alt (+ 1/2 x)>
#<alt (+ 1/2 x)>
#<alt (+ 1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))>
#<alt -1/2>
#<alt (- (* -1 x) 1/2)>
#<alt (- (* -1 x) 1/2)>
#<alt (- (* -1 x) 1/2)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt 1/2>
#<alt (+ 1/2 x)>
#<alt (+ 1/2 (* x (+ 1 (* 4 x))))>
#<alt (+ 1/2 (* x (+ 1 (* x (+ 4 (* -8 x))))))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (+ (* 4 (/ 1 x)) (/ 1 (pow x 2))) 8))>
#<alt (* (pow x 3) (- (+ (* 4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) x)))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))>
#<alt 1/2>
#<alt (+ 1/2 x)>
#<alt (+ 1/2 (* x (+ 1 (* 4 x))))>
#<alt (+ 1/2 (* x (+ 1 (* x (+ 4 (* -8 x))))))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (+ (* 4 (/ 1 x)) (/ 1 (pow x 2))) 8))>
#<alt (* (pow x 3) (- (+ (* 4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) x)))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))>
#<alt (/ -1/256 (pow x 4))>
#<alt (/ (- (* -1/64 x) 1/256) (pow x 4))>
#<alt (/ (- (* x (- (* -1/64 x) 1/64)) 1/256) (pow x 4))>
#<alt (/ (- (* x (- (* x (- (* 1/8 x) 1/64)) 1/64)) 1/256) (pow x 4))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (* 1/2 (/ 1 (pow x 2)))) (+ 1 (* 1/64 (/ 1 (pow x 4))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* 1/64 (/ 1 x)) 1/8) (pow x 3))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (/ 1/256 (pow x 4))>
#<alt (/ (+ 1/256 (* 1/64 x)) (pow x 4))>
#<alt (/ (+ 1/256 (* x (+ 1/64 (* 1/64 x)))) (pow x 4))>
#<alt (/ (+ 1/256 (* x (+ 1/64 (* x (+ 1/64 (* -1/8 x)))))) (pow x 4))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1/4 (* 1/8 (/ 1 x))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (* 1/64 (/ 1 (pow x 4)))) (+ (/ 1/8 (pow x 3)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1/4 (* 1/8 (/ 1 x))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (- 1/8 (* 1/64 (/ 1 x))) (pow x 3)))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* x (+ 1/8 (* -1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/16 (* x (+ 1/8 (* -1 (pow x 2))))) (pow x 2))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/8 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (+ (/ 1/16 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1))>
#<alt (* x (- (+ (/ 1/16 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2))))))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))>
#<alt (* 16 (pow x 2))>
#<alt (* (pow x 2) (+ 16 (* -32 x)))>
#<alt (* (pow x 2) (+ 16 (* x (- (* 64 x) 32))))>
#<alt (* (pow x 2) (+ 16 (* x (- (* x (+ 64 (* -128 x))) 32))))>
#<alt (* 8 x)>
#<alt (* x (- 8 (* 4 (/ 1 x))))>
#<alt (* x (- (+ 8 (/ 2 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* x (- (+ 8 (/ 2 (pow x 2))) (+ (* 4 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 8 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 8)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 4) x)) 8)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 2) x)) 4) x)) 8)))>
#<alt 1/2>
#<alt (+ 1/2 x)>
#<alt (+ 1/2 (* x (+ 1 (* 4 x))))>
#<alt (+ 1/2 (* x (+ 1 (* x (+ 4 (* -8 x))))))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (+ (* 4 (/ 1 x)) (/ 1 (pow x 2))) 8))>
#<alt (* (pow x 3) (- (+ (* 4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) x)))))>
#<alt (* 16 (pow x 2))>
#<alt (* (pow x 2) (+ 16 (* -32 x)))>
#<alt (* (pow x 2) (+ 16 (* x (- (* 64 x) 32))))>
#<alt (* (pow x 2) (+ 16 (* x (- (* x (+ 64 (* -128 x))) 32))))>
#<alt (* 8 x)>
#<alt (* x (- 8 (* 4 (/ 1 x))))>
#<alt (* x (- (+ 8 (/ 2 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* x (- (+ 8 (/ 2 (pow x 2))) (+ (* 4 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 8 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 8)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 4) x)) 8)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 2) x)) 4) x)) 8)))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* 8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 x))) x)>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ (+ 1/16 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/16 (* x (+ 1/8 (* -1/2 x)))) (pow x 2))>
#<alt (/ (+ 1/16 (* x (+ 1/8 (* x (- (* -1 x) 1/2))))) (pow x 2))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* x (- (/ 1/8 (pow x 2)) (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* x (- (+ (/ 1/8 (pow x 2)) (* 1/16 (/ 1 (pow x 3)))) (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x))) 1/2) x)))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* (pow x 2) (+ 4 (* -8 x)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (* 4 (/ 1 x)) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))>

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (+ x 1/2) (/ x (+ 1/8 (/ 1/16 x))))
0.0ms	x	@	inf	(* (* x x) (+ 4 (* x -8)))
0.0ms	x	@	0	(* (* x x) (+ 4 (* x -8)))
0.0ms	x	@	0	(/ (- 1/4 (* (- (/ (+ 1/8 (/ 1/16 x)) x) x) (- (/ (+ 1/8 (/ 1/16 x)) x) x))) (+ -1/2 (- (/ (+ 1/8 (/ 1/16 x)) x) x)))
0.0ms	x	@	-inf	(* (* x x) (+ 4 (* x -8)))

rewrite584.0ms (5.7%)

Memory

-48.5MiB live, 869.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 134×	`/-lowering-/.f32`
5 134×	`/-lowering-/.f64`
3 754×	`-lowering-.f32`
3 754×	`-lowering-.f64`
3 176×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	312
1	363	264
2	3863	264
0	9051	261

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 481

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (/.f64 x (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/2 binary64))) (/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal -1/2 binary64))) (/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x) (/.f64 (/.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x))
(-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x x))))) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x x))))) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64))))) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64))))) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) #s(literal 1 binary64)) (/.f64 (/.f64 x (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (/.f64 (/.f64 #s(literal 1/256 binary64) (.f64 x x)) (*.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x x))) (.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))) x))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))) (/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
(/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (.f64 x (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (+.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x)))))
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(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
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(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
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(/.f64 (.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (+.f64 #s(literal 1/4 binary64) (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (+.f64 #s(literal 1/4 binary64) (.f64 x x))))
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(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 #s(literal 1/4 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (+.f64 #s(literal 1/4 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) x) (.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) x)) (.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) x) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (/.f64 #s(literal 1 binary64) x))
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(/.f64 (.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x)))) #s(literal -1 binary64))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (-.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x)
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) x)
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x x)))) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))

simplify468.0ms (4.6%)

Memory

19.2MiB live, 694.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 564×	`accelerator-lowering-fma.f32`
8 564×	`accelerator-lowering-fma.f64`
3 818×	`-lowering-.f32`
3 818×	`-lowering-.f64`
2 662×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	2398
1	807	2337
2	2294	2223
3	6076	2133
0	8210	2052

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ 1/16 (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ 1/8 x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ 1/8 x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
1/2
(+ 1/2 x)
(+ 1/2 x)
(+ 1/2 x)
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* 1/2 (/ 1 x))))
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
-1/2
(- (* -1 x) 1/2)
(- (* -1 x) 1/2)
(- (* -1 x) 1/2)
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
1/2
(+ 1/2 x)
(+ 1/2 (* x (+ 1 (* 4 x))))
(+ 1/2 (* x (+ 1 (* x (+ 4 (* -8 x))))))
(* -8 (pow x 3))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (/ 1 (pow x 2))) 8))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) x)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -8 x)))
(* (pow x 2) (+ 4 (* -8 x)))
(* (pow x 2) (+ 4 (* -8 x)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
1/2
(+ 1/2 x)
(+ 1/2 (* x (+ 1 (* 4 x))))
(+ 1/2 (* x (+ 1 (* x (+ 4 (* -8 x))))))
(* -8 (pow x 3))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (/ 1 (pow x 2))) 8))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) x)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -8 x)))
(* (pow x 2) (+ 4 (* -8 x)))
(* (pow x 2) (+ 4 (* -8 x)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(/ -1/256 (pow x 4))
(/ (- (* -1/64 x) 1/256) (pow x 4))
(/ (- (* x (- (* -1/64 x) 1/64)) 1/256) (pow x 4))
(/ (- (* x (- (* x (- (* 1/8 x) 1/64)) 1/64)) 1/256) (pow x 4))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (* 1/2 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (* 1/2 (/ 1 (pow x 2)))) (+ 1 (* 1/64 (/ 1 (pow x 4))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (* 1/2 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (* -1 (/ (- (* 1/64 (/ 1 x)) 1/8) (pow x 3))) (* 1/2 (/ 1 (pow x 2)))) 1))
(/ 1/256 (pow x 4))
(/ (+ 1/256 (* 1/64 x)) (pow x 4))
(/ (+ 1/256 (* x (+ 1/64 (* 1/64 x)))) (pow x 4))
(/ (+ 1/256 (* x (+ 1/64 (* x (+ 1/64 (* -1/8 x)))))) (pow x 4))
(pow x 2)
(* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/4 (* 1/8 (/ 1 x))) (pow x 2)))))
(* (pow x 2) (- (+ 1 (* 1/64 (/ 1 (pow x 4)))) (+ (/ 1/8 (pow x 3)) (* 1/4 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/4 (* 1/8 (/ 1 x))) (pow x 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- 1/8 (* 1/64 (/ 1 x))) (pow x 3)))) (* 1/4 (/ 1 (pow x 2)))))
(/ 1/16 (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* x (+ 1/8 (* -1 (pow x 2))))) (pow x 2))
(/ (+ 1/16 (* x (+ 1/8 (* -1 (pow x 2))))) (pow x 2))
(* -1 x)
(* x (- (* 1/8 (/ 1 (pow x 2))) 1))
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1))
(* x (- (+ (/ 1/16 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1))
(* -1 x)
(* -1 (* x (- 1 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2))))))
(/ -1/16 (pow x 2))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(* 16 (pow x 2))
(* (pow x 2) (+ 16 (* -32 x)))
(* (pow x 2) (+ 16 (* x (- (* 64 x) 32))))
(* (pow x 2) (+ 16 (* x (- (* x (+ 64 (* -128 x))) 32))))
(* 8 x)
(* x (- 8 (* 4 (/ 1 x))))
(* x (- (+ 8 (/ 2 (pow x 2))) (* 4 (/ 1 x))))
(* x (- (+ 8 (/ 2 (pow x 2))) (+ (* 4 (/ 1 x)) (/ 1 (pow x 3)))))
(* 8 x)
(* -1 (* x (- (* 4 (/ 1 x)) 8)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 4) x)) 8)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 2) x)) 4) x)) 8)))
1/2
(+ 1/2 x)
(+ 1/2 (* x (+ 1 (* 4 x))))
(+ 1/2 (* x (+ 1 (* x (+ 4 (* -8 x))))))
(* -8 (pow x 3))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (/ 1 (pow x 2))) 8))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) x)))))
(* 16 (pow x 2))
(* (pow x 2) (+ 16 (* -32 x)))
(* (pow x 2) (+ 16 (* x (- (* 64 x) 32))))
(* (pow x 2) (+ 16 (* x (- (* x (+ 64 (* -128 x))) 32))))
(* 8 x)
(* x (- 8 (* 4 (/ 1 x))))
(* x (- (+ 8 (/ 2 (pow x 2))) (* 4 (/ 1 x))))
(* x (- (+ 8 (/ 2 (pow x 2))) (+ (* 4 (/ 1 x)) (/ 1 (pow x 3)))))
(* 8 x)
(* -1 (* x (- (* 4 (/ 1 x)) 8)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 4) x)) 8)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 2) x)) 4) x)) 8)))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* 8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(/ 1/16 (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ 1/8 x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ 1/8 x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/ 1/16 (pow x 2))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/ (+ 1/16 (* x (+ 1/8 (* -1/2 x)))) (pow x 2))
(/ (+ 1/16 (* x (+ 1/8 (* x (- (* -1 x) 1/2))))) (pow x 2))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* x (- (/ 1/8 (pow x 2)) (+ 1 (* 1/2 (/ 1 x)))))
(* x (- (+ (/ 1/8 (pow x 2)) (* 1/16 (/ 1 (pow x 3)))) (+ 1 (* 1/2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x))) 1/2) x)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -8 x)))
(* (pow x 2) (+ 4 (* -8 x)))
(* (pow x 2) (+ 4 (* -8 x)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))

Outputs
(/ 1/16 (pow x 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 x)
(+.f64 x #s(literal 1/2 binary64))
(+ 1/2 x)
(+.f64 x #s(literal 1/2 binary64))
(+ 1/2 x)
(+.f64 x #s(literal 1/2 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal 1/2 binary64))
(* x (+ 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal 1/2 binary64))
(* x (+ 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal 1/2 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal 1/2 binary64))
(* x (+ 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal 1/2 binary64))
(* x (+ 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal 1/2 binary64))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/16 binary64) x)) x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ (- (* -1/8 x) 1/16) (pow x 2))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/16 binary64) x)) x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
-1/2
#s(literal -1/2 binary64)
(- (* -1 x) 1/2)
(-.f64 #s(literal -1/2 binary64) x)
(- (* -1 x) 1/2)
(-.f64 #s(literal -1/2 binary64) x)
(- (* -1 x) 1/2)
(-.f64 #s(literal -1/2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 x)
(+.f64 x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1 (* 4 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 4 binary64)))))
(+ 1/2 (* x (+ 1 (* x (+ 4 (* -8 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64)))))))
(* -8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -8 binary64))))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
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(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64)))))))
(* -8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -8 binary64))))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (/ 1 (pow x 2))) 8))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x)))))
(* (pow x 3) (- (+ (* 4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) 8))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -8 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))))))
(* -8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -8 binary64))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (/ 1 x)) x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) x))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 4 (+ (/ 1/2 (pow x 2)) (/ 1 x))) x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)))
(* 16 (pow x 2))
(.f64 x (.f64 x #s(literal 16 binary64)))
(* (pow x 2) (+ 16 (* -32 x)))
(.f64 x (.f64 x (+.f64 #s(literal 16 binary64) (*.f64 x #s(literal -32 binary64)))))
(* (pow x 2) (+ 16 (* x (- (* 64 x) 32))))
(.f64 (.f64 x x) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 #s(literal -32 binary64) (.f64 x #s(literal 64 binary64))))))
(* (pow x 2) (+ 16 (* x (- (* x (+ 64 (* -128 x))) 32))))
(.f64 (.f64 x x) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 #s(literal -32 binary64) (.f64 x (+.f64 #s(literal 64 binary64) (*.f64 x #s(literal -128 binary64))))))))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* x (- 8 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) x)))
(* x (- (+ 8 (/ 2 (pow x 2))) (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) x)))
(* x (- (+ 8 (/ 2 (pow x 2))) (+ (* 4 (/ 1 x)) (/ 1 (pow x 3)))))
(.f64 x (+.f64 #s(literal 8 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) x) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 8)))
(*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 4) x)) 8)))
(*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 2) x)) 4) x)) 8)))
(*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)) x)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* 8 (pow x 2))
(.f64 x (.f64 x #s(literal 8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(/ 1/16 (pow x 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ (+ 1/8 (* 1/16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(/ 1/16 (pow x 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
(/ (+ 1/16 (* 1/8 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x x))
(/ (+ 1/16 (* x (+ 1/8 (* -1/2 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/2 binary64))))) (*.f64 x x))
(/ (+ 1/16 (* x (+ 1/8 (* x (- (* -1 x) 1/2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x))))) (*.f64 x x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* x (- (/ 1/8 (pow x 2)) (+ 1 (* 1/2 (/ 1 x)))))
(+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64))
(* x (- (+ (/ 1/8 (pow x 2)) (* 1/16 (/ 1 (pow x 3)))) (+ 1 (* 1/2 (/ 1 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (*.f64 x x)))))) #s(literal -1/2 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))
(+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x))) 1/2) x)))))
(-.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(* 4 (pow x 2))
(.f64 (.f64 x x) #s(literal 4 binary64))
(* (pow x 2) (+ 4 (* -8 x)))
(.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64))))
(* (pow x 2) (+ 4 (* -8 x)))
(.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64))))
(* (pow x 2) (+ 4 (* -8 x)))
(.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -8 binary64))))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* (pow x 3) (- (* 4 (/ 1 x)) 8))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* -8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -8 binary64))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))
(* -1 (* (pow x 3) (- 8 (* 4 (/ 1 x)))))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) x))))

eval517.0ms (5.1%)

Memory: 21.4MiB live, 787.1MiB allocated
Compiler: Compiled 107 593 to 6 273 computations (94.2% saved)

prune582.0ms (5.7%)

Memory

-6.7MiB live, 756.1MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	2 664	5	2 669
Fresh	1	1	2
Picked	5	0	5
Done	0	5	5
Total	2 670	11	2 681

Accuracy

100.0%

Counts

2 681 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(/.f64 (-.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))) (-.f64 #s(literal -1/2 binary64) x))
	31.0%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (-.f64 #s(literal -1/2 binary64) x)) (.f64 x (.f64 x #s(literal -8 binary64))))
	31.1%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal -8 binary64))))
	31.1%	(-.f64 (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) x))))))
	99.1%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
	99.1%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) x))))))
✓	99.2%	(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
✓	99.4%	(-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
✓	98.8%	(+.f64 x #s(literal -1/2 binary64))
✓	53.3%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	97.5%	x

Compiler

Compiled 791 to 254 computations (67.9% saved)

regimes30.0ms (0.3%)

Memory

-6.0MiB live, 33.2MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
x
(+.f64 x #s(literal -1/2 binary64))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
(/.f64 (-.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (-.f64 #s(literal -1/2 binary64) x)) (.f64 x (.f64 x #s(literal -8 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 x (*.f64 x #s(literal -8 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -8 binary64)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal -8 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1/2 binary64)) (.f64 x (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) x))))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))) (/.f64 (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (.f64 x (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 x #s(literal 1/16 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))) (*.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))))
(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Outputs
(-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))

Calls

2 calls:

22.0ms	x
7.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
x
(+.f64 x #s(literal -1/2 binary64))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))

Outputs
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
x
(+.f64 x #s(literal -1/2 binary64))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))

Outputs
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(+.f64 x #s(literal -1/2 binary64))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))

Outputs
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

-36.0MiB live, 3.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify62.0ms (0.6%)

Memory

-18.8MiB live, 59.4MiB allocated

Algorithm

1×	egg-herbie

Rules

228×	`unsub-neg_binary64`
114×	`neg-mul-1_binary64`
98×	`distribute-lft-neg-in_binary64`
80×	`cancel-sign-sub_binary64`
66×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	34	40
2	64	40
3	92	40
4	146	40
5	224	40
6	319	40
7	424	40
8	539	40
9	552	40
10	557	40

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 x #s(literal -1/2 binary64))
x

Outputs
(-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x))
(+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(-.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
(+.f64 x #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
x

soundness1.1s (10.6%)

Memory

11.8MiB live, 1 507.3MiB allocated

Rules

10 896×	`accelerator-lowering-fma.f32`
10 896×	`accelerator-lowering-fma.f64`
4 656×	`/-lowering-/.f32`
4 656×	`/-lowering-/.f64`
4 646×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	492
1	442	431
2	1553	410
3	4080	392
0	8296	368
0	18	64
1	138	64
2	1286	64
0	8352	64

Stop Event

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

Compiler

Compiled 64 to 35 computations (45.3% saved)

preprocess41.0ms (0.4%)

Memory: -2.8MiB live, 114.2MiB allocated
Compiler: Compiled 98 to 48 computations (51% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	26
1	28	26
2	45	24
3	66	24
4	84	24
5	104	24
6	125	24
7	141	24
8	142	24
0	6	7
1	12	7
2	13	7
0	13	7

Iter	Nodes	Cost
0	18	40
1	34	40
2	64	40
3	92	40
4	146	40
5	224	40
6	319	40
7	424	40
8	539	40
9	552	40
10	557	40

Iter	Nodes	Cost
0	12	26
1	28	26
2	45	24
3	66	24
4	84	24
5	104	24
6	125	24
7	141	24
8	142	24
0	6	7
1	12	7
2	13	7
0	13	7

Iter	Nodes	Cost
0	18	40
1	34	40
2	64	40
3	92	40
4	146	40
5	224	40
6	319	40
7	424	40
8	539	40
9	552	40
10	557	40

analyze1.0ms (0%)

sample561.0ms (5.5%)

preprocess13.0ms (0.1%)

explain84.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize21.0ms (0.2%)

series5.0ms (0%)

rewrite379.0ms (3.7%)

simplify512.0ms (5%)

eval64.0ms (0.6%)

prune50.0ms (0.5%)

simplify116.0ms (1.1%)

localize90.0ms (0.9%)

series21.0ms (0.2%)

rewrite488.0ms (4.8%)

simplify411.0ms (4%)

eval226.0ms (2.2%)

prune245.0ms (2.4%)

simplify768.0ms (7.5%)

localize217.0ms (2.1%)

series20.0ms (0.2%)

rewrite714.0ms (7%)

simplify376.0ms (3.7%)

eval385.0ms (3.8%)

prune213.0ms (2.1%)

simplify368.0ms (3.6%)

localize482.0ms (4.7%)

series9.0ms (0.1%)

rewrite584.0ms (5.7%)

simplify468.0ms (4.6%)

eval517.0ms (5.1%)

prune582.0ms (5.7%)

regimes30.0ms (0.3%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

simplify62.0ms (0.6%)

soundness1.1s (10.6%)

preprocess41.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	26
1	28	26
2	45	24
3	66	24
4	84	24
5	104	24
6	125	24
7	141	24
8	142	24
0	6	7
1	12	7
2	13	7
0	13	7

Iter	Nodes	Cost
0	18	40
1	34	40
2	64	40
3	92	40
4	146	40
5	224	40
6	319	40
7	424	40
8	539	40
9	552	40
10	557	40