Metrics for sqrt times

analyze2.0ms (0%)

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 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

const: 0.0ms (0% of total)

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

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

sample619.0ms (8.1%)

Results

432.0ms	8248×	0	valid
1.0ms	8×	1	valid
1.0ms	11×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-sqrt: 120.0ms (47.8% of total)

ival-mult: 61.0ms (24.3% of total)

ival-sub: 57.0ms (22.7% of total)

const: 10.0ms (4% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess24.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

132×	`sum3-define`
84×	`fma-define`
38×	`sub-neg`
36×	`fmsub-define`
22×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	28	26
2	47	24
3	71	24
4	104	24
5	150	24
6	175	24
7	215	24
8	284	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))))
(fnmsub (sqrt (- -1 x)) (sqrt (neg x)) 0)

explain73.0ms (0.9%)

FPErrors

Click to see full error table

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

Results

41.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

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

ival-sqrt: 7.0ms (45.1% of total)

ival-mult: 4.0ms (25.8% of total)

ival-sub: 3.0ms (19.3% of total)

const: 1.0ms (6.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

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)

localize51.0ms (0.7%)

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	99.3%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

43.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sqrt: 30.0ms (86.4% of total)

ival-mult: 2.0ms (5.8% of total)

ival-sub: 2.0ms (5.8% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

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))

rewrite424.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3242×	`/-lowering-/.f32`
3242×	`/-lowering-/.f64`
2606×	`-lowering-.f32`
2606×	`-lowering-.f64`
1554×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	30	15
2	161	14
3	1434	14
0	8150	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 383

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 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 x x) #s(literal -1 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 (pow.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (pow.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x #s(literal -1 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 (sqrt.f64 (neg.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (sqrt.f64 (neg.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))) (pow.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 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 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (pow.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) x)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) x)) (pow.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (neg.f64 (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))) (neg.f64 (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 (pow.f64 (+.f64 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 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal 1 binary64))))
(*.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 (pow.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 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 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 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)))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))
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(/.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 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.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)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x #s(literal -1 binary64))) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (+.f64 (.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 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #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 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 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 x #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x 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 (*.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)))

simplify223.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3384×	`-lowering-.f32`
3384×	`-lowering-.f64`
1818×	`fma-lowering-fma.f32`
1818×	`fma-lowering-fma.f64`
1688×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	443
1	473	389
2	1770	363
3	5464	355
0	8154	355

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 (sqrt.f64 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 1/2 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 (.f64 x 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 #s(literal 1 binary64) (.f64 x (.f64 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 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 binary64)))
(* 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 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 binary64)))
(* -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 x (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 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 #s(literal 1 binary64) (.f64 x (.f64 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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 (-.f64 #s(literal 0 binary64) x) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) (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 -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 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))
(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)

eval53.0ms (0.7%)

Compiler: Compiled 13678 to 1670 computations (87.8% saved)

prune61.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	424	7	431
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	424	8	432

Accuracy

100.0%

Counts

432 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.0%	(pow.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 x x)) #s(literal 1/4 binary64))
	38.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))))
▶	99.5%	(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
▶	99.3%	(+.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 binary64)))
▶	98.9%	(+.f64 x #s(literal -1/2 binary64))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	55.9%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
▶	97.5%	x

Compiler

Compiled 136 to 94 computations (30.9% saved)

simplify203.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2322×	`sum3-define`
1872×	`fmsub-define`
1756×	`sum4-define`
1738×	`fnmsub-define`
1668×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	85
1	39	84
2	77	84
3	122	81
4	200	81
5	349	81
6	1044	81
7	2914	81
8	6300	81
0	8009	81

Stop Event

1×	iter limit
1×	node limit

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

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

localize79.0ms (1%)

Localize:

Found 12 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	55.9%	(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 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 binary64))
✓	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)

Results

53.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 91 to 21 computations (76.9% saved)

Precisions

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

ival-add: 10.0ms (40.7% of total)

ival-div: 6.0ms (24.4% of total)

ival-mult: 4.0ms (16.3% of total)

ival-sqrt: 2.0ms (8.1% of total)

const: 1.0ms (4.1% of total)

ival-sub: 1.0ms (4.1% of total)

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

series6.0ms (0.1%)

Counts

12 → 144

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

36 calls:

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

rewrite444.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4296×	`/-lowering-/.f32`
4296×	`/-lowering-/.f64`
3926×	`-lowering-.f32`
3926×	`-lowering-.f64`
2436×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	69
1	138	68
2	1343	67
0	8687	67

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 629

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))
(* (+ -1/2 (/ -1/8 x)) 1)
(+ -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 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(+.f64 (+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (/.f64 #s(literal 1 binary64) x) (/.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)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (fma.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/2 binary64))))) (neg.f64 (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/2 binary64))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))))
(+.f64 (fma.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))))
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(*.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 x x) 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))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (neg.f64 (.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))) (neg.f64 (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (neg.f64 (.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 (neg.f64 (.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)) (neg.f64 (.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) (/.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 #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 (+.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)))
(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))))

simplify337.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

3082×	`-lowering-.f32`
3082×	`-lowering-.f64`
1976×	`sum5-define`
1598×	`+-lowering-+.f64`
1598×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	898
1	349	856
2	1072	732
3	3565	696
4	7635	696
0	8621	696

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

eval168.0ms (2.2%)

Compiler: Compiled 20408 to 2258 computations (88.9% saved)

prune168.0ms (2.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	769	4	773
Fresh	0	2	2
Picked	1	4	5
Done	1	0	1
Total	771	10	781

Accuracy

100.0%

Counts

781 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.0%	(pow.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 x x)) #s(literal 1/4 binary64))
▶	35.0%	(/.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)))))
▶	35.0%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) x) (.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) x))
▶	24.5%	(/.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)))) (+.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))
	38.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))))
▶	99.3%	(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))
✓	99.5%	(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
✓	98.9%	(+.f64 x #s(literal -1/2 binary64))
✓	55.9%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	97.5%	x

Compiler

Compiled 287 to 168 computations (41.5% saved)

simplify203.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 x x))
✓	cost-diff	0	(pow.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 x x)) #s(literal 1/4 binary64))
✓	cost-diff	128	(+.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	128	(.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)))
✓	cost-diff	128	(-.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)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	cost-diff	896	(/.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)))) (+.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))
✓	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	128	(*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	128	(-.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	896	(/.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 1/4 binary64) (*.f64 x x))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) x)
✓	cost-diff	0	(-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) x) (*.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	cost-diff	384	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) x) (.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) x))
✓	cost-diff	0	(+.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/8 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))

Rules

2446×	`-lowering-.f32`
2446×	`-lowering-.f64`
2138×	`+-lowering-+.f64`
2138×	`+-lowering-+.f32`
1606×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	361
1	146	360
2	570	325
3	2719	315
0	8364	315

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize212.0ms (2.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 x x))
✓	accuracy	29.0%	(pow.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 x x)) #s(literal 1/4 binary64))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
✓	accuracy	99.3%	(.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)))
✓	accuracy	62.9%	(-.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)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
✓	accuracy	28.9%	(/.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)))) (+.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))
✓	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	38.6%	(/.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 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) x) (*.f64 (-.f64 #s(literal -1/2 binary64) 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 #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)) x)
✓	accuracy	38.6%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) x) (.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/8 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal -1/2 binary64))

Results

118.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 397 to 42 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 23.0ms (37% of total)

ival-div: 11.0ms (17.7% of total)

ival-pow: 10.0ms (16.1% of total)

ival-add: 8.0ms (12.9% of total)

ival-sub: 8.0ms (12.9% of total)

const: 1.0ms (1.6% of total)

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

series69.0ms (0.9%)

Counts

24 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
53.0ms	x	@	0	(pow (* (* (+ x -1) (+ x -1)) (* x x)) 1/4)
2.0ms	x	@	-inf	(* (* (+ x -1) (+ x -1)) (* x x))
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))))

rewrite360.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3380×	`-lowering-.f32`
3380×	`-lowering-.f64`
2336×	`fma-lowering-fma.f32`
2336×	`fma-lowering-fma.f64`
1816×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	266
1	352	261
2	3664	244
0	8548	244

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 713

Calls

Call 1

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

Outputs
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 (+.f64 x #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 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) x)
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) x)))) (/.f64 #s(literal -1/8 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/8 binary64) (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1/8 binary64) x))
(fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))) (/.f64 #s(literal -1/8 binary64) x))
(fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x))) (+.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 x #s(literal -1/2 binary64))))) (+.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/8 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))) (+.f64 (/.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))))
(/.f64 (+.f64 (/.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))))) (+.f64 (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 x #s(literal -1/2 binary64))) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64)))) (-.f64 (/.f64 #s(literal -1/8 binary64) 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 #s(literal -1/2 binary64) x)))) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (+.f64 x #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x x) #s(literal -1/4 binary64)))) (.f64 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 #s(literal -1/2 binary64) x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x x) #s(literal -1/4 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x)))) (.f64 (/.f64 x #s(literal -1/8 binary64)) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (.f64 (/.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 x #s(literal -1/8 binary64)) (+.f64 (.f64 x x) #s(literal -1/4 binary64)))) (.f64 (/.f64 x #s(literal -1/8 binary64)) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x))) #s(literal -1/8 binary64))) (.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #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 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x))))) (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (/.f64 x #s(literal -1/8 binary64))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) x))) (/.f64 x #s(literal -1/8 binary64))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (.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)) #s(literal 1/8 binary64))) (.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 #s(literal -1/8 binary64))) (.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 x #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))))) (neg.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/64 binary64) (.f64 x x))) (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))
(/.f64 (-.f64 (*.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) #s(literal 1/4 binary64)) (-.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x)))) (+.f64 (/.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(.f64 (+.f64 (/.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x))))))
(.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/8 binary64) x))
(/.f64 #s(literal -1/8 binary64) x)
(/.f64 #s(literal -1/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (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))
(+.f64 x #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) x))))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal -1/2 binary64) x))) (.f64 (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1/16 binary64)) x) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1/16 binary64)) x))) (-.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1/16 binary64)) x)))
(/.f64 (.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 #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) 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)))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 x x))) (-.f64 #s(literal -1/2 binary64) 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 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (+.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x)))
(*.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(.f64 (-.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 #s(literal 1/16 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 #s(literal 1/16 binary64) x)))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (neg.f64 (/.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))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 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 #s(literal 1/16 binary64) x) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(.f64 (/.f64 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)))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) #s(literal -1/2 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) #s(literal -1/2 binary64) (*.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (+.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(/.f64 (/.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))) (+.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (*.f64 x (-.f64 #s(literal -1/2 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 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1 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 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.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 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 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))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (.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 (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal -1/8 binary64) (.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 (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 #s(literal 1/16 binary64) x))) (+.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 #s(literal 1/16 binary64) x))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (*.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 (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) x) (.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.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 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64)))))
(/.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 #s(literal 1/4 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (*.f64 x (-.f64 #s(literal -1/2 binary64) 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 -1/2 binary64) x)))
(*.f64 x (/.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (-.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) 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 (/.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) x))
(.f64 (/.f64 (.f64 x (-.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 #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) 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)))
(+.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) x))
(+.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 x (.f64 x x)))
(+.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) x) (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x x) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (.f64 x x) (.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (*.f64 x x)))
(fma.f64 (.f64 x x) x (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (.f64 x x) x (.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(fma.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) x (.f64 x (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) x))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x x)))))
(/.f64 (.f64 x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x))) (+.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 x #s(literal -1/2 binary64))))) (+.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))))) x) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x x)))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x))) (+.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 x #s(literal -1/2 binary64)))) x) (+.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) x))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))

simplify288.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

4746×	`-lowering-.f32`
4746×	`-lowering-.f64`
4528×	`+-lowering-+.f64`
4528×	`+-lowering-+.f32`
1562×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	2337
1	1244	2220
2	4027	2026
0	8386	2026

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval394.0ms (5.1%)

Compiler: Compiled 44176 to 3100 computations (93% saved)

prune126.0ms (1.6%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1200	8	1208
Fresh	1	0	1
Picked	3	2	5
Done	0	4	4
Total	1204	14	1218

Accuracy

100.0%

Counts

1218 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.0%	(pow.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) x) #s(literal 1/4 binary64))
▶	38.1%	(/.f64 (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))) x) (-.f64 #s(literal -1/2 binary64) x))
▶	35.0%	(/.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 x (-.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
▶	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 x x) #s(literal -8 binary64)))
	35.0%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -4 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)))))
✓	35.0%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) x) (.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) x))
	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)))))
	34.9%	(/.f64 (+.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))))))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
✓	99.3%	(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))
✓	99.5%	(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
✓	98.9%	(+.f64 x #s(literal -1/2 binary64))
▶	99.5%	(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)) #s(literal 1 binary64)))
✓	55.9%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	97.5%	x

Compiler

Compiled 473 to 315 computations (33.4% saved)

simplify203.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) x)
✓	cost-diff	0	(pow.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) x) #s(literal 1/4 binary64))
✓	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	128	(*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	128	(-.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	896	(/.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 x (-.f64 #s(literal -1/2 binary64) 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	128	(*.f64 (-.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	128	(-.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	256	(/.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 x x) #s(literal -8 binary64)))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x)))
✓	cost-diff	0	(-.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))) x)
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))) x) (-.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)) #s(literal 1 binary64))
✓	cost-diff	384	(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)) #s(literal 1 binary64)))

Rules

3630×	`-lowering-.f32`
3630×	`-lowering-.f64`
1766×	`/-lowering-/.f32`
1766×	`/-lowering-/.f64`
1426×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	415
1	117	415
2	408	401
3	1803	379
4	7994	379
0	8009	379

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize252.0ms (3.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) x)
✓	accuracy	99.9%	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64))))
✓	accuracy	29.0%	(pow.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) x) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))
✓	accuracy	99.9%	(/.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) 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	38.6%	(/.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 x (-.f64 #s(literal -1/2 binary64) 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	38.6%	(/.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 x x) #s(literal -8 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x)))
✓	accuracy	83.3%	(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))) x)
✓	accuracy	55.9%	(/.f64 (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))) x) (-.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.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	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)

Results

162.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 446 to 39 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 34.0ms (43.8% of total)

ival-mult: 20.0ms (25.7% of total)

ival-pow: 10.0ms (12.9% of total)

ival-add: 6.0ms (7.7% of total)

ival-sub: 6.0ms (7.7% of total)

const: 1.0ms (1.3% of total)

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

series7.0ms (0.1%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (* x (* (+ 1 (/ (- -1/2 (/ (+ 1/8 (/ 1/16 x)) x)) x)) 1))>
#<alt (* (+ 1 (/ (- -1/2 (/ (+ 1/8 (/ 1/16 x)) x)) x)) 1)>
#<alt (+ 1 (/ (- -1/2 (/ (+ 1/8 (/ 1/16 x)) x)) x))>
#<alt (/ (- -1/2 (/ (+ 1/8 (/ 1/16 x)) x)) x)>
#<alt (/ (/ (- (* x (- 1/4 (* x x))) (* (+ 1/8 (/ 1/16 x)) (- -1/2 x))) x) (- -1/2 x))>
#<alt (/ (- (* x (- 1/4 (* x x))) (* (+ 1/8 (/ 1/16 x)) (- -1/2 x))) x)>
#<alt (- (* x (- 1/4 (* x x))) (* (+ 1/8 (/ 1/16 x)) (- -1/2 x)))>
#<alt (* x (- 1/4 (* x x)))>
#<alt (/ (- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1)) (* (* x x) -8))>
#<alt (- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1))>
#<alt (* (- -1/2 x) 1)>
#<alt (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x))))>
#<alt (/ (- (* (- 1/4 (* x x)) (/ x (+ 1/8 (/ 1/16 x)))) (* (- -1/2 x) 1)) (/ (* x (- -1/2 x)) (+ 1/8 (/ 1/16 x))))>
#<alt (pow (* (* (+ x -1) (* x (+ x -1))) x) 1/4)>
#<alt (* (* (+ x -1) (* x (+ x -1))) x)>
#<alt (* (+ x -1) (* x (+ x -1)))>
#<alt (+ x -1)>
#<alt (/ (+ 1/8 (/ 1/16 x)) x)>
#<alt (* (+ 1/8 (/ 1/16 x)) (- -1/2 x))>
#<alt (/ x (+ 1/8 (/ 1/16 x)))>
#<alt (/ (* x (- -1/2 x)) (+ 1/8 (/ 1/16 x)))>
#<alt (* x (+ 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 3))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 3))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 3))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))>
#<alt (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))>
#<alt (/ -1/16 (pow x 3))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 3))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 3))>
#<alt (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))>
#<alt (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))>
#<alt (/ -1/16 (pow x 3))>
#<alt (/ (- (* -1/8 x) 1/16) (pow x 3))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 3))>
#<alt (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) 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 (/ 1/32 (pow x 2))>
#<alt (/ (+ 1/32 (* 1/8 x)) (pow x 2))>
#<alt (/ (+ 1/32 (* x (+ 1/8 (* 3/8 x)))) (pow x 2))>
#<alt (/ (+ 1/32 (* x (+ 1/8 (* x (+ 3/8 (* -1 (pow x 2))))))) (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/8 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (* 3/8 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (+ (* 3/8 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 4))))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/8 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (* 3/8 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (+ (* 3/8 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 4))))) 1))>
#<alt (/ 1/32 x)>
#<alt (/ (+ 1/32 (* 1/8 x)) x)>
#<alt (/ (+ 1/32 (* x (+ 1/8 (* 3/8 x)))) x)>
#<alt (/ (+ 1/32 (* x (+ 1/8 (* x (+ 3/8 (* -1 (pow x 2))))))) x)>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (* 3/8 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 3) (- (+ (/ 1/8 (pow x 3)) (* 3/8 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 3) (- (+ (/ 1/8 (pow x 3)) (+ (* 3/8 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 4))))) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (* 3/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3/8 (* 1/8 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1 (* -1 (/ (+ 1/8 (* 1/32 (/ 1 x))) (pow x 3)))) (* 3/8 (/ 1 (pow x 2))))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* -1 (pow x 2))))>
#<alt (* x (+ 1/4 (* -1 (pow x 2))))>
#<alt (* x (+ 1/4 (* -1 (pow x 2))))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1 (* 1/4 (/ 1 (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 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 -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 (* 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 (* (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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 x)))>
#<alt (* (pow x 2) (+ 1 (* x (- x 2))))>
#<alt (* (pow x 2) (+ 1 (* x (- x 2))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt x>
#<alt (* x (+ 1 (* -2 x)))>
#<alt (* x (+ 1 (* x (- x 2))))>
#<alt (* x (+ 1 (* x (- x 2))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 2) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 2) x)) 1)))>
#<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 (/ 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 (/ -1/32 x)>
#<alt (/ (- (* -1/8 x) 1/32) x)>
#<alt (/ (- (* x (- (* -1/8 x) 1/8)) 1/32) x)>
#<alt (/ (- (* x (- (* -1/8 x) 1/8)) 1/32) x)>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (+ 1/8 (* 1/8 (/ 1 x)))))>
#<alt (* x (- (* -1 (/ (+ 1/8 (* 1/32 (/ 1 x))) x)) 1/8))>
#<alt (* x (- (* -1 (/ (+ 1/8 (* 1/32 (/ 1 x))) x)) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (+ 1/8 (* 1/8 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/8 (+ (/ 1/32 (pow x 2)) (* 1/8 (/ 1 x))))))>
#<alt (* -1 (* x (+ 1/8 (+ (/ 1/32 (pow x 2)) (* 1/8 (/ 1 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 (* -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)))>

Calls

66 calls:

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

rewrite622.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3612×	`/-lowering-/.f32`
3612×	`/-lowering-/.f64`
2838×	`-lowering-.f32`
2838×	`-lowering-.f64`
2114×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	272
1	285	272
2	2614	254
0	9185	254

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1046

Calls

Call 1

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

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

simplify371.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

4658×	`-lowering-.f32`
4658×	`-lowering-.f64`
3512×	`+-lowering-+.f64`
3512×	`+-lowering-+.f32`
1898×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	2279
1	1009	2162
2	3301	2007
0	8248	2007

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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 3))
(/ (- (* -1/8 x) 1/16) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 3))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 3))
1
(- 1 (* 1/2 (/ 1 x)))
(+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))
(- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x)))
1
(- 1 (* 1/2 (/ 1 x)))
(+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))
(/ -1/16 (pow x 3))
(/ (- (* -1/8 x) 1/16) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 3))
(/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 3))
1
(- 1 (* 1/2 (/ 1 x)))
(+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))
(- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x)))
1
(- 1 (* 1/2 (/ 1 x)))
(+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))
(/ -1/16 (pow x 3))
(/ (- (* -1/8 x) 1/16) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 3))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x))
(* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) 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)))
(/ 1/32 (pow x 2))
(/ (+ 1/32 (* 1/8 x)) (pow x 2))
(/ (+ 1/32 (* x (+ 1/8 (* 3/8 x)))) (pow x 2))
(/ (+ 1/32 (* x (+ 1/8 (* x (+ 3/8 (* -1 (pow x 2))))))) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3/8 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (* 3/8 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (+ (* 3/8 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 4))))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3/8 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (* 3/8 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (/ 1/8 (pow x 3)) (+ (* 3/8 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 4))))) 1))
(/ 1/32 x)
(/ (+ 1/32 (* 1/8 x)) x)
(/ (+ 1/32 (* x (+ 1/8 (* 3/8 x)))) x)
(/ (+ 1/32 (* x (+ 1/8 (* x (+ 3/8 (* -1 (pow x 2))))))) x)
(* -1 (pow x 3))
(* (pow x 3) (- (* 3/8 (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (+ (/ 1/8 (pow x 3)) (* 3/8 (/ 1 (pow x 2)))) 1))
(* (pow x 3) (- (+ (/ 1/8 (pow x 3)) (+ (* 3/8 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 4))))) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (* 3/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3/8 (* 1/8 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1 (* -1 (/ (+ 1/8 (* 1/32 (/ 1 x))) (pow x 3)))) (* 3/8 (/ 1 (pow x 2))))))
(* 1/4 x)
(* x (+ 1/4 (* -1 (pow x 2))))
(* x (+ 1/4 (* -1 (pow x 2))))
(* x (+ 1/4 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1 (* 1/4 (/ 1 (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)))
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)))))
-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)))))
(* 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)))
(* (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)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -2 x)))
(* (pow x 2) (+ 1 (* x (- x 2))))
(* (pow x 2) (+ 1 (* x (- x 2))))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
x
(* x (+ 1 (* -2 x)))
(* x (+ 1 (* x (- x 2))))
(* x (+ 1 (* x (- x 2))))
(pow x 3)
(* (pow x 3) (- 1 (* 2 (/ 1 x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(pow x 3)
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 2) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 2) x)) 1)))
-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)))
(/ 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)
(/ -1/32 x)
(/ (- (* -1/8 x) 1/32) x)
(/ (- (* x (- (* -1/8 x) 1/8)) 1/32) x)
(/ (- (* x (- (* -1/8 x) 1/8)) 1/32) x)
(* -1/8 x)
(* -1 (* x (+ 1/8 (* 1/8 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/8 (* 1/32 (/ 1 x))) x)) 1/8))
(* x (- (* -1 (/ (+ 1/8 (* 1/32 (/ 1 x))) x)) 1/8))
(* -1/8 x)
(* -1 (* x (+ 1/8 (* 1/8 (/ 1 x)))))
(* -1 (* x (+ 1/8 (+ (/ 1/32 (pow x 2)) (* 1/8 (/ 1 x))))))
(* -1 (* x (+ 1/8 (+ (/ 1/32 (pow x 2)) (* 1/8 (/ 1 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))
(* -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)))

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

eval253.0ms (3.3%)

Compiler: Compiled 63841 to 4324 computations (93.2% saved)

prune222.0ms (2.9%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1592	7	1599
Fresh	3	0	3
Picked	4	1	5
Done	1	5	6
Total	1600	13	1613

Accuracy

100.0%

Counts

1613 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	29.0%	(pow.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) x) #s(literal 1/4 binary64))
	28.4%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (-.f64 #s(literal 3/8 binary64) (*.f64 x x)))))) x) x) (-.f64 #s(literal -1/2 binary64) x))
	34.9%	(/.f64 (-.f64 (/.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 #s(literal -1/2 binary64) x)) (/.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
	35.0%	(/.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 x (-.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
	35.0%	(/.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 x x) #s(literal -8 binary64)))
	55.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/16 binary64) x)) x)
	35.0%	(/.f64 (+.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))))))) (.f64 (*.f64 x x) #s(literal -8 binary64)))
✓	99.3%	(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))
✓	99.5%	(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
✓	98.9%	(+.f64 x #s(literal -1/2 binary64))
	34.8%	(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (/.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 #s(literal -1/2 binary64) x)))
✓	55.9%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	97.5%	x

Compiler

Compiled 775 to 289 computations (62.7% saved)

regimes17.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

Inputs
x
(+.f64 x #s(literal -1/2 binary64))
(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))
(+.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 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 (-.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/16 binary64) x)) x)
(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)) #s(literal 1 binary64)))
(/.f64 (+.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))))))) (.f64 (*.f64 x x) #s(literal -8 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (-.f64 #s(literal 3/8 binary64) (*.f64 x x)))))) x) x) (-.f64 #s(literal -1/2 binary64) x))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (/.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 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) x) (.f64 (-.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (.f64 (-.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))) x) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.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))))))) (.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 x 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 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) 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 (.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 x (-.f64 #s(literal -1/2 binary64) 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 x x) #s(literal -8 binary64)))
(/.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)))) (+.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 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -4 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 (.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 x (-.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
(pow.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) x) #s(literal 1/4 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))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

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

Calls

2 calls:

8.0ms	x
7.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(+.f64 x #s(literal -1/2 binary64))
(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))
(+.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 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 (-.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 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
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
16×	`*-commutative_binary64`
14×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	31	37
2	39	37
3	49	37
4	63	37
5	71	37
6	75	37
7	76	37

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (14.1%)

Rules

4746×	`-lowering-.f32`
4746×	`-lowering-.f64`
4528×	`+-lowering-+.f64`
4528×	`+-lowering-+.f32`
4296×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	443
1	473	389
2	1770	363
3	5464	355
0	8154	355
0	398	2337
1	1244	2220
2	4027	2026
0	8386	2026
0	20	69
1	138	68
2	1343	67
0	8687	67

Stop Event

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

Compiler

Compiled 73 to 40 computations (45.2% saved)

preprocess34.0ms (0.4%)

Compiler: Compiled 92 to 46 computations (50% saved)

Iter	Nodes	Cost
0	12	26
1	28	26
2	47	24
3	71	24
4	104	24
5	150	24
6	175	24
7	215	24
8	284	24
0	6	7
1	12	7
2	13	7
0	13	7

Iter	Nodes	Cost
0	12	26
1	28	26
2	47	24
3	71	24
4	104	24
5	150	24
6	175	24
7	215	24
8	284	24
0	6	7
1	12	7
2	13	7
0	13	7

analyze2.0ms (0%)

sample619.0ms (8.1%)

preprocess24.0ms (0.3%)

explain73.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize51.0ms (0.7%)

series5.0ms (0.1%)

rewrite424.0ms (5.5%)

simplify223.0ms (2.9%)

eval53.0ms (0.7%)

prune61.0ms (0.8%)

simplify203.0ms (2.6%)

localize79.0ms (1%)

series6.0ms (0.1%)

rewrite444.0ms (5.8%)

simplify337.0ms (4.4%)

eval168.0ms (2.2%)

prune168.0ms (2.2%)

simplify203.0ms (2.6%)

localize212.0ms (2.8%)

series69.0ms (0.9%)

rewrite360.0ms (4.7%)

simplify288.0ms (3.7%)

eval394.0ms (5.1%)

prune126.0ms (1.6%)

simplify203.0ms (2.6%)

localize252.0ms (3.3%)

series7.0ms (0.1%)

rewrite622.0ms (8.1%)

simplify371.0ms (4.8%)

eval253.0ms (3.3%)

prune222.0ms (2.9%)

regimes17.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify20.0ms (0.3%)

soundness1.1s (14.1%)

preprocess34.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	26
1	28	26
2	47	24
3	71	24
4	104	24
5	150	24
6	175	24
7	215	24
8	284	24
0	6	7
1	12	7
2	13	7
0	13	7