Metrics for 3frac (problem 3.3.3)

analyze7.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.8%	6.3%	50%	0%	0%	0%	4
93.8%	46.9%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	50%	0%	50%	0%	0%	0%	11
100%	50%	0%	50%	0%	0%	0%	12

Compiler

Compiled 20 to 12 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (41% of total)

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

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

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

const: 0.0ms (0% of total)

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

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

sample2.6s (25.4%)

Results

1.7s	7130×	1	valid
501.0ms	799×	2	valid
41.0ms	327×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-div: 688.0ms (42.8% of total)

ival-add: 274.0ms (17.1% of total)

backward-pass: 219.0ms (13.6% of total)

ival-sub: 192.0ms (12% of total)

ival->: 148.0ms (9.2% of total)

ival-fabs: 63.0ms (3.9% of total)

const: 22.0ms (1.4% of total)

Bogosity

preprocess88.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

624×	`sum5-define`
544×	`sum4-define`
482×	`sum3-define`
456×	`fnmadd-define`
442×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	49	37
2	119	36
3	332	36
4	895	36
5	1711	36
6	2088	36
7	2119	36
0	10	13
1	23	12
2	42	12
3	74	12
4	157	12
5	408	12
6	982	12
7	1675	12
8	2144	12
9	2242	12
0	2242	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs

(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

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

Call 2

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

Outputs
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
(sum3 (recip (+ x -1)) (/ -2 x) (recip (+ 1 x)))
(+ (- (/ 1 (+ (neg x) 1)) (/ 2 (neg x))) (/ 1 (- (neg x) 1)))
(sum3 (/ 2 x) (recip (- 1 x)) (recip (- -1 x)))
(neg (+ (- (/ 1 (+ (neg x) 1)) (/ 2 (neg x))) (/ 1 (- (neg x) 1))))
(sum3 (recip (+ x -1)) (/ -2 x) (recip (+ 1 x)))

Symmetry

(negabs x)

explain249.0ms (2.4%)

FPErrors

Click to see full error table

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

Results

155.0ms	442×	1	valid
24.0ms	58×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-div: 51.0ms (50.7% of total)

ival-add: 19.0ms (18.9% of total)

backward-pass: 18.0ms (17.9% of total)

ival-sub: 10.0ms (9.9% of total)

const: 2.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
14×	`+-commutative`
12×	`sum3-define`
6×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	21	41
2	31	41
3	35	41
4	36	41
0	36	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize129.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))
✓	accuracy	66.3%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))

Results

98.0ms	222×	1	valid
12.0ms	28×	2	valid
1.0ms	6×	0	valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 13.0ms (36.1% of total)

ival-div: 12.0ms (33.4% of total)

backward-pass: 10.0ms (27.8% of total)

const: 1.0ms (2.8% of total)

series4.0ms (0%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ -2 x)>
#<alt (/ (- (* -1 x) 2) x)>
#<alt (/ (- (* x (- (* -1 x) 1)) 2) x)>
#<alt (/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x)>
#<alt (/ -1 x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)>
#<alt (/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) 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)))>

Calls

15 calls:

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

rewrite285.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3562×	`/-lowering-/.f32`
3562×	`/-lowering-/.f64`
2620×	`-lowering-.f32`
2620×	`-lowering-.f64`
2042×	`frac-add`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	47	30
2	312	30
3	2293	30
0	8331	30

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 883

Calls

Call 1

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

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

simplify290.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2314×	`-lowering-.f32`
2314×	`-lowering-.f64`
2170×	`+-lowering-+.f64`
2170×	`+-lowering-+.f32`
1678×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	415
1	320	381
2	855	368
3	2736	354
0	8369	354

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ (- (* x (- (* -1 x) 1)) 2) x)
(/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x)
(/ -1 x)
(/ (- (/ 1 x) 1) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)
(/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x)
(/ -1 x)
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) 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)))

Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x)))))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x)))))))
(/ 2 (pow x 3))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (.f64 x (.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x x) #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (- (* -1 x) 1)) 2) x)
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x)
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (-.f64 #s(literal -1 binary64) x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

eval110.0ms (1.1%)

Compiler: Compiled 24902 to 2712 computations (89.1% saved)

prune142.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	938	5	943
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	938	6	944

Accuracy

99.9%

Counts

944 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
▶	21.7%	(/.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) x))))
▶	98.6%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
▶	98.4%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
▶	4.7%	(/.f64 #s(literal -2 binary64) x)
✓	66.4%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 164 to 89 computations (45.7% saved)

simplify185.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

3114×	`-lowering-.f32`
3114×	`-lowering-.f64`
1890×	`/-lowering-/.f32`
1890×	`/-lowering-/.f64`
1656×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	190
1	77	190
2	249	182
3	1134	169
0	8581	169

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize739.0ms (7.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal -1 binary64) x)))
✓	accuracy	98.8%	(/.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) x))))
✓	accuracy	5.4%	(-.f64 (.f64 (-.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.1%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	98.8%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	98.8%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))

Results

553.0ms	141×	2	valid
91.0ms	88×	1	valid
39.0ms	23×	3	valid
1.0ms	4×	0	valid

Compiler

Compiled 223 to 27 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-div: 185.0ms (52.6% of total)

ival-mult: 69.0ms (19.6% of total)

ival-sub: 49.0ms (13.9% of total)

backward-pass: 33.0ms (9.4% of total)

ival-add: 14.0ms (4% of total)

const: 2.0ms (0.6% of total)

series15.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (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)>
#<alt (pow x 2)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ 2 (pow x 5))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (/ 2 (pow x 7))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 7))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (/ 2 (pow x 4))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (/ 2 (pow x 4))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt -2>
#<alt (- x 2)>
#<alt (- x 2)>
#<alt (- x 2)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt (- (* -1 x) 2)>
#<alt (- (* x (- x 1)) 2)>
#<alt (- (* x (- x 1)) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (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

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (+ 2 (/ 2 (* x x))) (* x x))
2.0ms	x	@	inf	(- (* (- (* (+ x -1) 2) x) (+ 1 x)) (* x (+ x -1)))
1.0ms	x	@	0	(/ (+ 2 (/ 2 (* x x))) (* x (* x x)))
1.0ms	x	@	0	(/ (/ 2 (* x x)) x)
1.0ms	x	@	0	(- (* (- (* (+ x -1) 2) x) (+ 1 x)) (* x (+ x -1)))

rewrite518.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

3114×	`-lowering-.f32`
3114×	`-lowering-.f64`
1904×	`/-lowering-/.f32`
1904×	`/-lowering-/.f64`
1776×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	138
1	126	138
2	635	131
3	4936	130
0	8363	130

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 791

Calls

Call 1

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

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

simplify259.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2598×	`-lowering-.f32`
2598×	`-lowering-.f64`
1418×	`/-lowering-/.f32`
1418×	`/-lowering-/.f64`
1314×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1234
1	239	1072
2	695	1057
3	2510	1013
4	7727	1013
0	8141	1013

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 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)
(pow x 2)
(pow x 2)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ 2 (pow x 7))
(/ (+ 2 (* 2 (pow x 2))) (pow x 7))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
-2
(- x 2)
(- x 2)
(- x 2)
x
(* x (- 1 (* 2 (/ 1 x))))
(* x (- 1 (* 2 (/ 1 x))))
(* x (- 1 (* 2 (/ 1 x))))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
(- (* -1 x) 2)
(- (* x (- x 1)) 2)
(- (* x (- x 1)) 2)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (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
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.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)
(pow x 2)
(*.f64 x x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ 2 (pow x 5))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))) x)
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))) x)
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))) x)
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/ 2 (pow x 7))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 7))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (.f64 x (.f64 x (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x)))) (.f64 x (.f64 x x)))
-2
#s(literal -2 binary64)
(- x 2)
(+.f64 x #s(literal -2 binary64))
(- x 2)
(+.f64 x #s(literal -2 binary64))
(- x 2)
(+.f64 x #s(literal -2 binary64))
x
(* x (- 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal -2 binary64))
(* x (- 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal -2 binary64))
(* x (- 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal -2 binary64))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(+.f64 x #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(+.f64 x #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(+.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* x (- x 1)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(- (* x (- x 1)) 2)
(+.f64 #s(literal -2 binary64) (*.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 (/ (+ 1 (* 2 (/ 1 x))) x))))
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))
(+.f64 #s(literal -2 binary64) (*.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 (/ (+ 1 (* 2 (/ 1 x))) x))))
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 x))) x))))
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
x
(* x (+ 1 (* -1 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* x (+ 1 (* -1 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* x (+ 1 (* -1 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 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)))

eval194.0ms (1.9%)

Compiler: Compiled 29350 to 2424 computations (91.7% saved)

prune183.0ms (1.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1284	8	1292
Fresh	0	0	0
Picked	2	3	5
Done	1	0	1
Total	1287	11	1298

Accuracy

100.0%

Counts

1298 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	98.6%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
	98.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
✓	98.6%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
	98.4%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
▶	20.1%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
▶	98.5%	(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) x)
▶	97.6%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
▶	98.8%	(/.f64 #s(literal -2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal -1 binary64) x))))
✓	4.7%	(/.f64 #s(literal -2 binary64) x)
	98.6%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 204 to 131 computations (35.8% saved)

simplify144.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) x)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal -1 binary64) x))))
✓	cost-diff	128	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal -1 binary64) x)))

Rules

1488×	`-lowering-.f32`
1488×	`-lowering-.f64`
1434×	`sum3-define`
1272×	`fma-lowering-fma.f32`
1272×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	138
1	66	135
2	158	131
3	505	129
4	1134	128
5	3162	122
6	7423	122
0	8018	122

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ -2 (* (+ x -1) (* x (- -1 x))))
-2
(* (+ x -1) (* x (- -1 x)))
(+ x -1)
x
-1
(* x (- -1 x))
(- -1 x)
(/ 2 (* x (* x x)))
2
(* x (* x x))
x
(* x x)
(/ (/ (/ 2 x) x) x)
(/ (/ 2 x) x)
(/ 2 x)
2
x
(/ (* (/ 2 x) (/ 1 x)) x)
(* (/ 2 x) (/ 1 x))
(/ 2 x)
2
x
(/ 1 x)
1
(/ (+ 2 (* 2 (* x (* x (+ (* x x) 1))))) (pow x 7))
(+ 2 (* 2 (* x (* x (+ (* x x) 1)))))
2
(* 2 (* x (* x (+ (* x x) 1))))
(* x (* x (+ (* x x) 1)))
x
(* x (+ (* x x) 1))
(+ (* x x) 1)
(* x x)
1
(pow x 7)
7

Outputs
(/ -2 (* (+ x -1) (* x (- -1 x))))
(/.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
-2
#s(literal -2 binary64)
(* (+ x -1) (* x (- -1 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(* x (- -1 x))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
(/ 2 (* x (* x x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
2
#s(literal 2 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(/ (/ (/ 2 x) x) x)
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (/ 2 x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(/ (* (/ 2 x) (/ 1 x)) x)
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(* (/ 2 x) (/ 1 x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ (+ 2 (* 2 (* x (* x (+ (* x x) 1))))) (pow x 7))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 7 binary64))))
(+ 2 (* 2 (* x (* x (+ (* x x) 1)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))
2
#s(literal 2 binary64)
(* 2 (* x (* x (+ (* x x) 1))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* x (* x (+ (* x x) 1)))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(* x (+ (* x x) 1))
(.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))
(+ (* x x) 1)
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)
(pow x 7)
(pow.f64 x #s(literal 7 binary64))
7
#s(literal 7 binary64)

localize152.0ms (1.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	99.9%	(.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))
✓	accuracy	21.5%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) x)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	98.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal -1 binary64) x))
✓	accuracy	99.9%	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal -1 binary64) x)))
✓	accuracy	98.8%	(/.f64 #s(literal -2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal -1 binary64) x))))

Results

115.0ms

256×

valid

Compiler

Compiled 167 to 28 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 19.0ms (35.8% of total)

ival-div: 14.0ms (26.4% of total)

ival-mult: 14.0ms (26.4% of total)

ival-pow: 3.0ms (5.7% of total)

ival-sub: 1.0ms (1.9% of total)

const: 1.0ms (1.9% of total)

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

series6.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (* (+ x -1) (* x (- -1 x)))>
#<alt (/ -2 (* (+ x -1) (* x (- -1 x))))>
#<alt (+ x -1)>
#<alt (* x (- -1 x))>
#<alt (/ 2 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (/ (/ (/ 2 x) x) x)>
#<alt (/ (/ 2 x) x)>
#<alt (/ 2 x)>
#<alt (* (/ 2 x) (/ 1 x))>
#<alt (/ (* (/ 2 x) (/ 1 x)) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 2 (* 2 (* x (* x (+ (* x x) 1))))) (pow x 7))>
#<alt (+ 2 (* 2 (* x (* x (+ (* x x) 1)))))>
#<alt (* 2 (* x (* x (+ (* x x) 1))))>
#<alt (* x (* x (+ (* x x) 1)))>
#<alt (* x (+ (* x x) 1))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>
#<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 x)>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* -1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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)>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 2 (pow x 7))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 7))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (* 2 (pow x 4))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 2 (pow x 4))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (pow x 2))))>
#<alt (* (pow x 2) (+ 2 (* 2 (pow x 2))))>
#<alt (* (pow x 2) (+ 2 (* 2 (pow x 2))))>
#<alt (* 2 (pow x 4))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 4))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>

Calls

54 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ (+ 2 (* 2 (* x (* x (+ (* x x) 1))))) (pow x 7))
0.0ms	x	@	0	(/ (+ 2 (* 2 (* x (* x (+ (* x x) 1))))) (pow x 7))
0.0ms	x	@	0	(* x (- -1 x))
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	0	(* x (+ (* x x) 1))

rewrite244.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2746×	`-lowering-.f32`
2746×	`-lowering-.f64`
2142×	`/-lowering-/.f32`
2142×	`/-lowering-/.f64`
1598×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	109
1	113	106
2	545	101
3	2640	100
4	7593	100
0	8406	100

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 894

Calls

Call 1

Inputs
(* (+ x -1) (* x (- -1 x)))
(/ -2 (* (+ x -1) (* x (- -1 x))))
(+ x -1)
(* x (- -1 x))
(/ 2 (* x (* x x)))
(* x (* x x))
(* x x)
(/ (/ (/ 2 x) x) x)
(/ (/ 2 x) x)
(/ 2 x)
(* (/ 2 x) (/ 1 x))
(/ (* (/ 2 x) (/ 1 x)) x)
(/ 1 x)
(/ (+ 2 (* 2 (* x (* x (+ (* x x) 1))))) (pow x 7))
(+ 2 (* 2 (* x (* x (+ (* x x) 1)))))
(* 2 (* x (* x (+ (* x x) 1))))
(* x (* x (+ (* x x) 1)))
(* x (+ (* x x) 1))

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

simplify199.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2658×	`-lowering-.f32`
2658×	`-lowering-.f64`
1804×	`sum4-define`
1212×	`/-lowering-/.f32`
1212×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1327
1	253	1158
2	749	1132
3	2710	1093
4	7163	1093
0	8333	1093

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
-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 x)
(* x (- (* -1 x) 1))
(* x (- (* -1 x) 1))
(* x (- (* -1 x) 1))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 2 (pow x 7))
(/ (+ 2 (* 2 (pow x 2))) (pow x 7))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (pow x 2))))
(* (pow x 2) (+ 2 (* 2 (pow x 2))))
(* (pow x 2) (+ 2 (* 2 (pow x 2))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (pow x 2)))
(* (pow x 2) (+ 1 (pow x 2)))
(* (pow x 2) (+ 1 (pow x 2)))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (pow x 2)))
(* x (+ 1 (pow x 2)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))

Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* x (+ 1 (* -1 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* x (+ 1 (* -1 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -2 binary64)))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x #s(literal -2 binary64))))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -2 binary64))))))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 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 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1 x) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* x (- (* -1 x) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* x (- (* -1 x) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.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)
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 2 (pow x 7))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 7))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) x)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))
(* 2 (pow x 4))
(.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(* 2 (pow x 4))
(.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 2 (* 2 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* (pow x 2) (+ 2 (* 2 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* (pow x 2) (+ 2 (* 2 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* 2 (pow x 4))
(.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* 2 (pow x 4))
(.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (pow x 2)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 2) (+ 1 (pow x 2)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 2) (+ 1 (pow x 2)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
x
(* x (+ 1 (pow x 2)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))
(* x (+ 1 (pow x 2)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))
(* x (+ 1 (pow x 2)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))

eval110.0ms (1.1%)

Compiler: Compiled 17354 to 2363 computations (86.4% saved)

prune94.0ms (0.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1180	5	1185
Fresh	2	1	3
Picked	3	2	5
Done	1	2	3
Total	1186	10	1196

Accuracy

100.0%

Counts

1196 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	98.6%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
▶	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	98.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
▶	24.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 x x)) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
▶	29.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
	97.7%	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	97.6%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
▶	98.8%	(/.f64 #s(literal -2 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))
✓	4.7%	(/.f64 #s(literal -2 binary64) x)

Compiler

Compiled 202 to 120 computations (40.6% saved)

simplify133.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 x x))
✓	cost-diff	128	(.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x))))
✓	cost-diff	512	(.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x))))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 x x)) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
✓	cost-diff	128	(-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))
✓	cost-diff	384	(.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	384	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
✓	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 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Rules

1840×	`sum4-define`
1324×	`fma-lowering-fma.f32`
1324×	`fma-lowering-fma.f64`
1314×	`-lowering-.f32`
1314×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	148
1	113	136
2	334	130
3	1960	129
4	6234	129
0	8008	129

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ 2 x) (* (+ x -1) (+ x 1)))
(/ 2 x)
2
x
(* (+ x -1) (+ x 1))
(+ x -1)
-1
(+ x 1)
1
(/ (/ 2 x) (* x x))
(/ 2 x)
2
x
(* x x)
(/ -2 (* x (- 1 (* x x))))
-2
(* x (- 1 (* x x)))
x
(- 1 (* x x))
1
(* x x)
(/ (- (* 0 (* x (* x x))) (* (- 0 x) -2)) (neg (* x (* x (* x x)))))
(- (* 0 (* x (* x x))) (* (- 0 x) -2))
(* 0 (* x (* x x)))
0
(* x (* x x))
x
(* x x)
(* (- 0 x) -2)
(- 0 x)
-2
(neg (* x (* x (* x x))))
(* x (* x (* x x)))
(/ (- (* 0 (/ x (/ 2 (* x x)))) (* x x)) (* (/ x (/ -1 x)) (/ x (/ 2 (* x x)))))
(- (* 0 (/ x (/ 2 (* x x)))) (* x x))
(* 0 (/ x (/ 2 (* x x))))
0
(/ x (/ 2 (* x x)))
x
(/ 2 (* x x))
2
(* x x)
(* (/ x (/ -1 x)) (/ x (/ 2 (* x x))))
(/ x (/ -1 x))
(/ -1 x)
-1

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

localize168.0ms (1.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	43.3%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 x x)) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
✓	accuracy	37.3%	(.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	92.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	37.3%	(.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
✓	accuracy	98.8%	(/.f64 #s(literal -2 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Results

121.0ms

256×

valid

Compiler

Compiled 240 to 33 computations (86.3% saved)

Precisions

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

ival-div: 18.0ms (39.2% of total)

ival-mult: 12.0ms (26.1% of total)

ival-sub: 11.0ms (23.9% of total)

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

const: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

series7.0ms (0.1%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ (/ 2 x) (* (+ x -1) (+ x 1)))>
#<alt (/ 2 x)>
#<alt (* (+ x -1) (+ x 1))>
#<alt (+ x -1)>
#<alt (/ (/ 2 x) (* x x))>
#<alt (* x x)>
#<alt (/ -2 (* x (- 1 (* x x))))>
#<alt (* x (- 1 (* x x)))>
#<alt (- 1 (* x x))>
#<alt (/ (- (* 0 (* x (* x x))) (* (- 0 x) -2)) (neg (* x (* x (* x x)))))>
#<alt (* 0 (* x (* x x)))>
#<alt (- (* 0 (* x (* x x))) (* (- 0 x) -2))>
#<alt (* (- 0 x) -2)>
#<alt (/ (- (* 0 (/ x (/ 2 (* x x)))) (* x x)) (* (/ x (/ -1 x)) (/ x (/ 2 (* x x)))))>
#<alt (* 0 (/ x (/ 2 (* x x))))>
#<alt (* (/ x (/ -1 x)) (/ x (/ 2 (* x x))))>
#<alt (- (* 0 (/ x (/ 2 (* x x)))) (* x x))>
#<alt (+ x 1)>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (/ 2 (* x x))>
#<alt (/ x (/ -1 x))>

Outputs
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 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 (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<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)>
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1/2 (pow x 5))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>

Calls

66 calls:

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

rewrite219.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2648×	`-lowering-.f32`
2648×	`-lowering-.f64`
2038×	`/-lowering-/.f32`
2038×	`/-lowering-/.f64`
1504×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	105
1	186	95
2	1166	90
3	6174	90
0	8468	90

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 985

Calls

Call 1

Inputs
(/ (/ 2 x) (* (+ x -1) (+ x 1)))
(/ 2 x)
(* (+ x -1) (+ x 1))
(+ x -1)
(/ (/ 2 x) (* x x))
(* x x)
(/ -2 (* x (- 1 (* x x))))
(* x (- 1 (* x x)))
(- 1 (* x x))
(/ (- (* 0 (* x (* x x))) (* (- 0 x) -2)) (neg (* x (* x (* x x)))))
(* 0 (* x (* x x)))
(- (* 0 (* x (* x x))) (* (- 0 x) -2))
(* (- 0 x) -2)
(/ (- (* 0 (/ x (/ 2 (* x x)))) (* x x)) (* (/ x (/ -1 x)) (/ x (/ 2 (* x x)))))
(* 0 (/ x (/ 2 (* x x))))
(* (/ x (/ -1 x)) (/ x (/ 2 (* x x))))
(- (* 0 (/ x (/ 2 (* x x)))) (* x x))
(+ x 1)
(* x (* x x))
(* x (* x (* x x)))
(/ 2 (* x x))
(/ x (/ -1 x))

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

simplify207.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2528×	`-lowering-.f32`
2528×	`-lowering-.f64`
1896×	`--lowering--.f32`
1896×	`--lowering--.f64`
1222×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1208
1	193	1077
2	553	1056
3	1875	1044
4	5804	1044
0	8086	1044

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 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)))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(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)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
0
0
0
0
0
0
0
0
0
0
0
0
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
0
0
0
0
0
0
0
0
0
0
0
0
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1/2 (pow x 5))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))

Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(+.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x)))))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x)))))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x 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))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.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)
(pow x 2)
(*.f64 x x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(+.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x)))))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x)))))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
x
(* x (+ 1 (* -1 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* x (+ 1 (* -1 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* x (+ 1 (* -1 (pow x 2))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1/2 (pow x 5))
(.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))

eval182.0ms (1.7%)

Compiler: Compiled 31064 to 2639 computations (91.5% saved)

prune130.0ms (1.2%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1665	4	1669
Fresh	1	0	1
Picked	3	2	5
Done	0	4	4
Total	1669	10	1679

Accuracy

100.0%

Counts

1679 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
	98.5%	(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))
✓	98.6%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	98.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
	41.4%	(/.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
	91.6%	(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x (.f64 x x))))
✓	97.6%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	98.8%	(/.f64 #s(literal -2 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))
✓	4.7%	(/.f64 #s(literal -2 binary64) x)

Compiler

Compiled 398 to 148 computations (62.8% saved)

regimes13.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal -1 binary64) x))))
(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.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 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 x x)) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 7 binary64)))

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

Calls

2 calls:

7.0ms	x
5.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
4.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	27	35
2	33	35
3	37	35
4	39	35

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.3s (22%)

Rules

3562×	`/-lowering-/.f32`
3562×	`/-lowering-/.f64`
3114×	`-lowering-.f32`
3114×	`-lowering-.f64`
2746×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	109
1	113	106
2	545	101
3	2640	100
4	7593	100
0	8406	100
0	11	31
1	47	30
2	312	30
3	2293	30
0	8331	30
0	89	1327
1	253	1158
2	749	1132
3	2710	1093
4	7163	1093
0	8333	1093
0	10	13
1	23	12
2	42	12
3	74	12
4	157	12
5	408	12
6	982	12
7	1675	12
8	2144	12
9	2242	12
0	2242	12
0	111	415
1	320	381
2	855	368
3	2736	354
0	8369	354
0	78	1208
1	193	1077
2	553	1056
3	1875	1044
4	5804	1044
0	8086	1044
0	26	138
1	126	138
2	635	131
3	4936	130
0	8363	130
0	93	1234
1	239	1072
2	695	1057
3	2510	1013
4	7727	1013
0	8141	1013

Stop Event

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

Compiler

Compiled 208 to 133 computations (36.1% saved)

preprocess38.0ms (0.4%)

Remove: (negabs x)
Compiler: Compiled 144 to 80 computations (44.4% saved)

analyze7.0ms (0.1%)

sample2.6s (25.4%)

preprocess88.0ms (0.8%)

explain249.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize129.0ms (1.2%)

series4.0ms (0%)

rewrite285.0ms (2.7%)

simplify290.0ms (2.8%)

eval110.0ms (1.1%)

prune142.0ms (1.4%)

simplify185.0ms (1.8%)

localize739.0ms (7.1%)

series15.0ms (0.1%)

rewrite518.0ms (5%)

simplify259.0ms (2.5%)

eval194.0ms (1.9%)

prune183.0ms (1.8%)

simplify144.0ms (1.4%)

localize152.0ms (1.5%)

series6.0ms (0.1%)

rewrite244.0ms (2.3%)

simplify199.0ms (1.9%)

eval110.0ms (1.1%)

prune94.0ms (0.9%)

simplify133.0ms (1.3%)

localize168.0ms (1.6%)

series7.0ms (0.1%)

rewrite219.0ms (2.1%)

simplify207.0ms (2%)

eval182.0ms (1.7%)

prune130.0ms (1.2%)

regimes13.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify8.0ms (0.1%)

soundness2.3s (22%)

preprocess38.0ms (0.4%)

end0.0ms (0%)

Profiling