Metrics for 3frac (problem 3.3.3)

analyze5.0ms (0%)

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 (40.4% 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)

sample2.0s (21.8%)

Results

1.4s	7101×	1	valid
222.0ms	832×	2	valid
26.0ms	323×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-div: 475.0ms (37.9% of total)

ival-add: 221.0ms (17.6% of total)

ival-sub: 202.0ms (16.1% of total)

backward-pass: 177.0ms (14.1% of total)

ival->: 92.0ms (7.3% of total)

ival-fabs: 67.0ms (5.3% of total)

const: 20.0ms (1.6% of total)

Bogosity

preprocess86.0ms (0.9%)

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)

explain188.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
88	1	(5.933632848756872e+107)	-	`(+.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	0	-	-	`x`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(/.f64 #s(literal 2 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`

Results

88.0ms	428×	1	valid
52.0ms	64×	2	valid
3.0ms	20×	0	valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

backward-pass: 46.0ms (47.2% of total)

ival-div: 25.0ms (25.7% of total)

ival-add: 12.0ms (12.3% of total)

ival-sub: 12.0ms (12.3% of total)

const: 2.0ms (2.1% 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
▶	70.0%	(+.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)

simplify5.0ms (0%)

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)

localize77.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))
✓	accuracy	70.1%	(+.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)))

Results

46.0ms	214×	1	valid
10.0ms	32×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

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

ival-div: 12.0ms (35.3% of total)

ival-add: 12.0ms (35.3% of total)

backward-pass: 9.0ms (26.5% of total)

const: 1.0ms (2.9% of total)

series3.0ms (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 (/ 1 (+ 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 (- (* -1 x) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite420.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4898×	`-lowering-.f32`
4898×	`-lowering-.f64`
3588×	`/-lowering-/.f32`
3588×	`/-lowering-/.f64`
2424×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	93	31
2	1225	31
0	8272	31

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 441

Calls

Call 1

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

simplify228.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2276×	`+-lowering-+.f64`
2276×	`+-lowering-+.f32`
2128×	`-lowering-.f32`
2128×	`-lowering-.f64`
1630×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	478
1	344	456
2	919	436
3	2983	419
0	8353	419

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
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))

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

eval78.0ms (0.8%)

Compiler: Compiled 18229 to 1867 computations (89.8% saved)

prune64.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	494	7	501
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	494	8	502

Accuracy

99.6%

Counts

502 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.8%	(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
	23.8%	(/.f64 (+.f64 (.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
▶	98.9%	(/.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)))
▶	98.8%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
▶	98.1%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
▶	4.9%	(/.f64 #s(literal -2 binary64) x)
▶	70.0%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) x))
✓	70.0%	(+.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 264 to 141 computations (46.6% saved)

simplify174.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2220×	`+-lowering-+.f64`
2220×	`+-lowering-+.f32`
2070×	`sum4-define`
1768×	`sum3-define`
1256×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	178
1	46	174
2	71	173
3	96	165
4	108	159
5	132	159
6	187	159
7	350	159
8	974	159
9	2840	159
0	8145	159

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize240.0ms (2.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) x)
✓	accuracy	70.1%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) x))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.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	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.1%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))

Results

125.0ms	214×	1	valid
23.0ms	32×	2	valid
2.0ms	10×	0	valid

Compiler

Compiled 194 to 24 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 31.0ms (42.4% of total)

ival-add: 15.0ms (20.5% of total)

backward-pass: 13.0ms (17.8% of total)

ival-mult: 12.0ms (16.4% of total)

const: 1.0ms (1.4% of total)

series11.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x (* x x))
1.0ms	x	@	0	(/ -2 x)
1.0ms	x	@	0	(/ (+ 2 (/ (+ 2 (/ 2 (* x x))) (* x x))) (* x (* x x)))
0.0ms	x	@	0	(/ 2 (* x (* x x)))
0.0ms	x	@	0	(/ (+ 2 (/ 2 (* x x))) (* x x))

rewrite444.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5138×	`-lowering-.f32`
5138×	`-lowering-.f64`
3256×	`/-lowering-/.f32`
3256×	`/-lowering-/.f64`
2336×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	132
1	170	119
2	1842	118
0	8266	118

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 460

Calls

Call 1

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

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

simplify248.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3812×	`-lowering-.f32`
3812×	`-lowering-.f64`
1820×	`/-lowering-/.f32`
1820×	`/-lowering-/.f64`
1526×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1243
1	318	1189
2	860	1163
3	2397	1145
0	8162	1145

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval101.0ms (1.1%)

Compiler: Compiled 19807 to 1831 computations (90.8% saved)

prune97.0ms (1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	846	12	858
Fresh	1	1	2
Picked	2	3	5
Done	1	0	1
Total	850	16	866

Accuracy

100.0%

Counts

866 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) x) x) x)
	51.1%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (.f64 x (.f64 x x)))
	99.0%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x)
▶	98.9%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
	98.3%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
▶	98.2%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
▶	23.8%	(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
✓	98.8%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
	40.7%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
	98.0%	(/.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
	98.1%	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	98.1%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
▶	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)))
✓	4.9%	(/.f64 #s(literal -2 binary64) x)
	70.0%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) x))
	98.2%	(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))

Compiler

Compiled 394 to 225 computations (42.9% saved)

simplify207.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	384	(.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x)
✓	cost-diff	1152	(+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)))
✓	cost-diff	1152	(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x 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))) x)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.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 #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))) x)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) x) x)
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) x) x) x)

Rules

2218×	`--lowering--.f32`
2218×	`--lowering--.f64`
1974×	`fnmsub-define`
1762×	`fnmadd-define`
1650×	`sum5-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	270
1	77	264
2	190	248
3	591	246
4	3742	236
5	6913	236
0	8662	236

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize388.0ms (4.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x)
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
✓	accuracy	6.9%	(+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
✓	accuracy	99.8%	(/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)))
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
✓	accuracy	99.1%	(/.f64 #s(literal 2 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	99.9%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) x) x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) x) x)
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.1%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))

Results

198.0ms	135×	2	valid
76.0ms	82×	1	valid
47.0ms	35×	3	valid
1.0ms	4×	0	valid

Compiler

Compiled 306 to 30 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-mult: 66.0ms (33.4% of total)

ival-div: 52.0ms (26.3% of total)

backward-pass: 49.0ms (24.8% of total)

ival-add: 29.0ms (14.7% of total)

const: 2.0ms (1% of total)

series12.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (/ (+ 2 (/ (+ 2 (/ 2 (* x x))) (* x x))) x) x)
1.0ms	x	@	0	(/ (* x x) (/ (+ 2 (/ 2 (* x x))) x))
1.0ms	x	@	-inf	(+ (* (+ (* 1 (+ x -1)) (+ 1 x)) x) (* (+ (* x x) -1) -2))
0.0ms	x	@	inf	(+ (* (+ (* 1 (+ x -1)) (+ 1 x)) x) (* (+ (* x x) -1) -2))
0.0ms	x	@	-inf	(/ (+ (* (+ (* 1 (+ x -1)) (+ 1 x)) x) (* (+ (* x x) -1) -2)) (* (+ (* x x) -1) x))

rewrite387.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4726×	`-lowering-.f32`
4726×	`-lowering-.f64`
3080×	`/-lowering-/.f32`
3080×	`/-lowering-/.f64`
2406×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	211
1	219	179
2	2115	175
0	8717	175

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 835

Calls

Call 1

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

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

simplify214.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2894×	`-lowering-.f32`
2894×	`-lowering-.f64`
1972×	`+-lowering-+.f64`
1972×	`+-lowering-+.f32`
1712×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1829
1	313	1753
2	1009	1727
3	3536	1688
0	8783	1688

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval183.0ms (2%)

Compiler: Compiled 49336 to 4355 computations (91.2% saved)

prune138.0ms (1.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1533	6	1539
Fresh	2	6	8
Picked	5	0	5
Done	1	2	3
Total	1541	14	1555

Accuracy

100.0%

Counts

1555 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
	51.1%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (.f64 x (.f64 x x)))
	98.3%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
	17.5%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x)) x)
▶	98.3%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
▶	40.7%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
	98.0%	(/.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
	98.1%	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
▶	99.6%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
✓	98.1%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))))
▶	98.0%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal 2 binary64) x))))
✓	4.9%	(/.f64 #s(literal -2 binary64) x)
	70.0%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) x))

Compiler

Compiled 320 to 192 computations (40% saved)

simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2040×	`fma-lowering-fma.f32`
2040×	`fma-lowering-fma.f64`
1874×	`fnmadd-define`
1754×	`fma-define`
1338×	`fmm-def`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	157
1	59	148
2	113	144
3	219	142
4	402	142
5	1141	142
6	2715	139
7	6122	139
0	8089	139

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize113.0ms (1.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	42.4%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.9%	(*.f64 x (/.f64 x (/.f64 #s(literal 2 binary64) x)))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (/.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))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x)
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))

Results

78.0ms

256×

valid

Compiler

Compiled 178 to 25 computations (86% saved)

Precisions

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

ival-div: 17.0ms (49.4% of total)

ival-mult: 12.0ms (34.9% of total)

ival-add: 4.0ms (11.6% of total)

const: 1.0ms (2.9% of total)

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

series6.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (/ 2 (* (+ (* x x) -1) x))>
#<alt (* (+ (* x x) -1) x)>
#<alt (+ (* x x) -1)>
#<alt (* x x)>
#<alt (/ (/ 2 (* x x)) x)>
#<alt (/ 2 (* x x))>
#<alt (/ 1 (* x (/ x (/ 2 x))))>
#<alt (* x (/ x (/ 2 x)))>
#<alt (/ x (/ 2 x))>
#<alt (/ 2 x)>
#<alt (/ (/ (/ (+ 2 (/ 2 (* x x))) x) x) x)>
#<alt (/ (/ (+ 2 (/ 2 (* x x))) x) x)>
#<alt (/ (+ 2 (/ 2 (* x x))) x)>
#<alt (+ 2 (/ 2 (* x x)))>
#<alt (/ (+ 2 (* 2 (* x x))) (* x (* x (* x (* x x)))))>
#<alt (+ 2 (* 2 (* x x)))>
#<alt (* 2 (* x x))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x (* x (* x 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 (* -1 x)>
#<alt (* x (- (pow x 2) 1))>
#<alt (* x (- (pow x 2) 1))>
#<alt (* x (- (pow x 2) 1))>
#<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 (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<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 (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 (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 (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 3))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (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 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 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 (pow x 3))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 3))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)>
#<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 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>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (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 2))>
#<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 (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>

Calls

60 calls:

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

rewrite280.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4734×	`-lowering-.f32`
4734×	`-lowering-.f64`
3672×	`/-lowering-/.f32`
3672×	`/-lowering-/.f64`
1322×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	133
1	155	115
2	1157	111
0	8692	111

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 904

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal -2 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) x))
(/.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(/.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 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) x)
(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -2 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (.f64 (+.f64 (.f64 x x) #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 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (/.f64 #s(literal -2 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x x)))
(+.f64 (.f64 x #s(literal -1 binary64)) (.f64 x (*.f64 x x)))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) x) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (.f64 x (.f64 x x)) x)
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) x)
(fma.f64 x (*.f64 x x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 x (.f64 x x) (.f64 x #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (.f64 x (.f64 x x)))
(fma.f64 (*.f64 x x) x (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 x x) x (.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x (.f64 x (.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -1 binary64)))
(neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) #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 (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1 binary64)) x)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) x) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) x)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) x)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)))) (-.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x #s(literal -1 binary64)) (.f64 x (*.f64 x 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 x))))
(.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 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))
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(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64))))))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (*.f64 x x))))))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64))))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 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))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(.f64 x (.f64 (.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
(.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 (.f64 x (*.f64 x 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 x)) (-.f64 #s(literal 0 binary64) (*.f64 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 (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 x #s(literal 5 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) x)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (*.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))

simplify227.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4030×	`-lowering-.f32`
4030×	`-lowering-.f64`
1382×	`/-lowering-/.f32`
1382×	`/-lowering-/.f64`
916×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	1453
1	168	1396
2	520	1384
3	1605	1334
4	6090	1334
0	8301	1334

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(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)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
-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))))
(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 (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))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 3))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (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 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 (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) 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))) (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 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
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(* 2 (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 (* 2 (/ 1 (pow x 2)))))
(* 2 (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 (* 2 (/ 1 (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 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 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)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)

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

eval126.0ms (1.3%)

Compiler: Compiled 22588 to 2807 computations (87.6% saved)

prune364.0ms (3.9%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1319	6	1325
Fresh	3	4	7
Picked	1	4	5
Done	0	2	2
Total	1323	16	1339

Accuracy

100.0%

Counts

1339 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
	51.0%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x (.f64 x x))) x)
	98.3%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
	17.5%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x)) x)
✓	98.3%	(/.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)))
	40.1%	(/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
	99.6%	(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
✓	99.6%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
✓	98.1%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	98.0%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal 2 binary64) x))))
✓	4.9%	(/.f64 #s(literal -2 binary64) x)
	70.0%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) x))
	99.7%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))))
	43.3%	(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x)))))

Compiler

Compiled 652 to 235 computations (64% saved)

regimes19.0ms (0.2%)

Counts

33 → 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) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
(/.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 (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x)
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)))
(/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x) (/.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 x (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x (.f64 x x))) x)
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) 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 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) x) x) x)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x)) x)
(/.f64 (+.f64 (.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))

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

Calls

2 calls:

10.0ms	x
7.0ms	(+.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)

regimes4.0ms (0%)

Counts

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% 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) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 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)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 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))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.2%	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
98.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (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:

4.0ms

Results

Accuracy	Segments	Branch
4.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	21	49

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

soundness1.9s (20.7%)

Rules

5138×	`-lowering-.f32`
5138×	`-lowering-.f64`
4898×	`-lowering-.f32`
4898×	`-lowering-.f64`
4734×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
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	117	478
1	344	456
2	919	436
3	2983	419
0	8353	419
0	24	133
1	155	115
2	1157	111
0	8692	111
0	11	32
1	93	31
2	1225	31
0	8272	31
0	23	132
1	170	119
2	1842	118
0	8266	118
0	122	1829
1	313	1753
2	1009	1727
3	3536	1688
0	8783	1688

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×	node limit
1×	iter limit
1×	saturated

Compiler

Compiled 267 to 162 computations (39.3% saved)

preprocess73.0ms (0.8%)

Remove: (negabs x)
Compiler: Compiled 192 to 98 computations (49% saved)

analyze5.0ms (0%)

sample2.0s (21.8%)

preprocess86.0ms (0.9%)

explain188.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize77.0ms (0.8%)

series3.0ms (0%)

rewrite420.0ms (4.5%)

simplify228.0ms (2.4%)

eval78.0ms (0.8%)

prune64.0ms (0.7%)

simplify174.0ms (1.9%)

localize240.0ms (2.6%)

series11.0ms (0.1%)

rewrite444.0ms (4.7%)

simplify248.0ms (2.6%)

eval101.0ms (1.1%)

prune97.0ms (1%)

simplify207.0ms (2.2%)

localize388.0ms (4.1%)

series12.0ms (0.1%)

rewrite387.0ms (4.1%)

simplify214.0ms (2.3%)

eval183.0ms (2%)

prune138.0ms (1.5%)

simplify146.0ms (1.6%)

localize113.0ms (1.2%)

series6.0ms (0.1%)

rewrite280.0ms (3%)

simplify227.0ms (2.4%)

eval126.0ms (1.3%)

prune364.0ms (3.9%)

regimes19.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

simplify7.0ms (0.1%)

soundness1.9s (20.7%)

preprocess73.0ms (0.8%)

end0.0ms (0%)

Profiling