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 (41.4% 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)

sample2.4s (23.3%)

Results

1.7s	7095×	1	valid
243.0ms	862×	2	valid
35.0ms	299×	0	valid

Precisions

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

ival-div: 433.0ms (32.9% of total)

ival-add: 252.0ms (19.2% of total)

ival-sub: 251.0ms (19.1% of total)

backward-pass: 156.0ms (11.9% of total)

ival->: 121.0ms (9.2% of total)

ival-fabs: 82.0ms (6.2% of total)

const: 20.0ms (1.5% of total)

Bogosity

preprocess85.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(negabs x)

explain172.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
84	3	(93.86004465089698)	-	`(+.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

93.0ms	428×	1	valid
23.0ms	66×	2	valid
2.0ms	18×	0	valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 24.0ms (33.8% of total)

ival-sub: 21.0ms (29.6% of total)

backward-pass: 13.0ms (18.3% of total)

ival-add: 12.0ms (16.9% of total)

const: 2.0ms (2.8% 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
▶	71.4%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize79.0ms (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 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))
✓	accuracy	71.5%	(+.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

48.0ms	214×	1	valid
10.0ms	33×	2	valid
1.0ms	9×	0	valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 12.0ms (39.1% of total)

ival-add: 11.0ms (35.9% of total)

backward-pass: 7.0ms (22.8% of total)

const: 1.0ms (3.3% of total)

series3.0ms (0%)

Counts

4 → 48

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))>

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))>

Calls

12 calls:

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

rewrite403.0ms (4%)

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	28
1	93	27
2	1230	27
0	8312	27

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 424

Calls

Call 1

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

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

simplify228.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2368×	`-lowering-.f32`
2368×	`-lowering-.f64`
1910×	`+-lowering-+.f64`
1910×	`+-lowering-+.f32`
1876×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	385
1	312	351
2	829	338
3	2676	324
0	8488	324

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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))

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

eval75.0ms (0.7%)

Compiler: Compiled 17699 to 1795 computations (89.9% saved)

prune76.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	463	9	472
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	463	10	473

Accuracy

98.2%

Counts

473 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.0%	(/.f64 (+.f64 (.f64 (/.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
	23.0%	(/.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))
	97.4%	(/.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)))
▶	97.1%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
▶	97.5%	(/.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)))
	96.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
▶	5.1%	(/.f64 #s(literal -2 binary64) x)
▶	71.0%	(+.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))
✓	71.4%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))
	71.3%	(+.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)))))

Compiler

Compiled 336 to 185 computations (44.9% saved)

simplify176.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2220×	`-lowering-.f32`
2220×	`-lowering-.f64`
1842×	`+-lowering-+.f64`
1842×	`+-lowering-+.f32`
1790×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	262
1	89	241
2	220	239
3	682	219
4	1609	210
5	5715	209
6	6535	209
0	8297	209

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize371.0ms (3.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (/.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 (+.f64 (.f64 (/.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))
✓	accuracy	8.0%	(+.f64 (.f64 (/.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
✓	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	99.7%	(+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))
✓	accuracy	71.5%	(+.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 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	98.2%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	98.2%	(/.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)))

Results

175.0ms	144×	2	valid
72.0ms	68×	1	valid
55.0ms	39×	3	valid
1.0ms	5×	0	valid

Compiler

Compiled 299 to 31 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-div: 46.0ms (31.2% of total)

ival-mult: 39.0ms (26.5% of total)

backward-pass: 35.0ms (23.8% of total)

ival-add: 25.0ms (17% of total)

const: 2.0ms (1.4% of total)

series14.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

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

Outputs
#<alt (/ 2 (pow x 9))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 9))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))>
#<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 (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 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 6))>
#<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 (/ 1 (pow x 6))) (/ 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 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (pow x 2)) (pow x 2))>
#<alt (/ (+ 1 (pow x 2)) (pow x 2))>
#<alt (/ (+ 1 (pow x 2)) (pow x 2))>
#<alt 1>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt 1>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ 2 (pow x 5))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (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 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 x) 2)>
#<alt (- (* x (- (* -2 x) 2)) 2)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)>
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x))>
#<alt -2>
#<alt (- (* -3 x) 2)>
#<alt (- (* x (- (* -2 x) 3)) 2)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 3)) 2)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3))) 1))>
#<alt (* x (- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3)))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))) (* 2 (/ 1 (pow x 2))))))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<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 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))>

Calls

57 calls:

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

rewrite441.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3602×	`/-lowering-/.f32`
3602×	`/-lowering-/.f64`
2416×	`-lowering-.f32`
2416×	`-lowering-.f64`
1992×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	179
1	240	163
2	2677	161
0	8877	161

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 816

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (.f64 x x)) (.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 x) (.f64 x x))))))) #s(literal -1 binary64)))
(neg.f64 (/.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 x) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.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 x) (.f64 x x)))))) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.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 x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x (.f64 x x)) (.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 x) (*.f64 x x)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.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 x) (.f64 x x))))) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.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 x) (*.f64 x x)))))))))
(/.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 x) (.f64 x x))))) (.f64 x (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.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 x) (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.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 x) (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x x) (/.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 x) (.f64 x x))))) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.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 x) (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(/.f64 (/.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 x) (.f64 x x))))) x) (.f64 x x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.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 x) (.f64 x x))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (/.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 x) (.f64 x x))))) x)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.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 x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x))) x)
(/.f64 (/.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 x) (.f64 x x))))) (.f64 x x)) x)
(/.f64 (/.f64 (/.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 x) (*.f64 x x))))) x) x) x)
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))) (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.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 x) (.f64 x x)))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (/.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 x) (.f64 x x))))) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (neg.f64 (.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 x) (.f64 x x))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.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 x) (.f64 x x))))) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 (/.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 x) (*.f64 x x))))) x) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (.f64 x (.f64 x x)) (.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 x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.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 x) (*.f64 x x)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x x) (/.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 x) (.f64 x x))))) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.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 x) (.f64 x x))))) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.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 x) (*.f64 x x))))) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (*.f64 x x))))
(.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)))
(.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
(.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 x) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(.f64 (-.f64 #s(literal 0 binary64) (.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 x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (.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 x) (*.f64 x x))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.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 x) (*.f64 x x)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (.f64 x x) (.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 x) (*.f64 x x)))))) #s(literal -1 binary64)))
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(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64)))
(+.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 (.f64 x x) (*.f64 x x))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.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 x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.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 x))))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (*.f64 x x)))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)))
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(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) x)
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 #s(literal 2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 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 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.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 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))

simplify275.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2468×	`-lowering-.f32`
2468×	`-lowering-.f64`
1960×	`fma-lowering-fma.f32`
1960×	`fma-lowering-fma.f64`
1660×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	1704
1	580	1490
2	1604	1452
3	5340	1443
0	8224	1443

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(/ 2 (pow x 9))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/ 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 (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 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 6))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 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 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(/ 1 (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
1
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
1
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -2 x)
(/ (- (* -2 (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 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 x) 2)
(- (* x (- (* -2 x) 2)) 2)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2)
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 x))) x)
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x)
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x))
-2
(- (* -3 x) 2)
(- (* x (- (* -2 x) 3)) 2)
(- (* x (- (* x (- (* -2 x) 2)) 3)) 2)
(* -1 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1))
(* x (- (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3))) 1))
(* x (- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3)))) 1))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(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)
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))

Outputs
(/ 2 (pow x 9))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))) (pow.f64 x #s(literal 9 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 (/.f64 #s(literal 2 binary64) x) x)) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 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 (/.f64 #s(literal 2 binary64) 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 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (.f64 x x)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.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 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (.f64 x x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 6))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 6))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
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(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)

eval191.0ms (1.9%)

Compiler: Compiled 39218 to 2974 computations (92.4% saved)

prune159.0ms (1.6%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1284	14	1298
Fresh	2	2	4
Picked	2	3	5
Done	0	1	1
Total	1288	20	1308

Accuracy

100.0%

Counts

1308 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
	98.5%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
	98.7%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x)
▶	98.7%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
	98.1%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
	97.0%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
	71.4%	(/.f64 (+.f64 (.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 x (+.f64 #s(literal 1 binary64) x)))
	97.4%	(/.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)))
✓	97.1%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
	35.3%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
✓	97.5%	(/.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)))
	96.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
	71.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))))) x)))
✓	5.1%	(/.f64 #s(literal -2 binary64) x)
▶	71.4%	(+.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))
✓	71.4%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))
▶	20.3%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.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))
	98.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
	98.7%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	5.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))

Compiler

Compiled 564 to 335 computations (40.6% saved)

simplify160.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2116×	`-lowering-.f32`
2116×	`-lowering-.f64`
1518×	`+-lowering-+.f64`
1518×	`+-lowering-+.f32`
1500×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	193
1	68	193
2	122	186
3	243	186
4	449	186
5	1065	186
6	4283	186
7	7006	186
0	8122	186

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize275.0ms (2.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	99.7%	(+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))
✓	accuracy	71.5%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.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	54.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) x)
✓	accuracy	71.5%	(+.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))
✓	accuracy	100.0%	(*.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	99.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
✓	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	99.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))

Results

151.0ms	214×	1	valid
41.0ms	33×	2	valid
3.0ms	9×	0	valid

Compiler

Compiled 248 to 31 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-div: 42.0ms (41.4% of total)

backward-pass: 19.0ms (18.7% of total)

ival-mult: 16.0ms (15.8% of total)

ival-add: 15.0ms (14.8% of total)

ival-sub: 8.0ms (7.9% of total)

const: 1.0ms (1% of total)

series6.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite359.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3590×	`/-lowering-/.f32`
3590×	`/-lowering-/.f64`
2406×	`fma-lowering-fma.f32`
2406×	`fma-lowering-fma.f64`
2370×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	148
1	229	134
2	2661	134
0	9468	134

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 810

Calls

Call 1

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

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

simplify200.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2138×	`-lowering-.f32`
2138×	`-lowering-.f64`
1606×	`/-lowering-/.f32`
1606×	`/-lowering-/.f64`
1226×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1681
1	413	1473
2	1154	1434
3	3843	1423
0	8396	1423

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval168.0ms (1.7%)

Compiler: Compiled 28842 to 2548 computations (91.2% saved)

prune121.0ms (1.2%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	1222	10	1232
Fresh	7	4	11
Picked	1	4	5
Done	1	3	4
Total	1231	21	1252

Accuracy

100.0%

Counts

1252 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
▶	98.1%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
	71.4%	(/.f64 (/.f64 (+.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) x)))) (+.f64 x #s(literal 1 binary64))) x)
▶	99.0%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) x)
	98.7%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x)
✓	98.7%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
	98.1%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
	98.0%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
	98.0%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
	98.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) x)
	23.0%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
✓	97.1%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
	35.3%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
	35.3%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
▶	96.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	5.1%	(/.f64 #s(literal -2 binary64) x)
▶	23.5%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) x))
✓	71.4%	(+.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))
✓	71.4%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))
▶	98.7%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
✓	5.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))

Compiler

Compiled 500 to 288 computations (42.4% saved)

simplify173.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1896×	`-lowering-.f32`
1896×	`-lowering-.f64`
1670×	`sum3-define`
1660×	`--lowering--.f32`
1660×	`--lowering--.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	26	188
1	64	187
2	116	184
3	222	184
4	523	184
5	1346	184
6	4267	176
7	7720	176
0	8336	176

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

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

localize231.0ms (2.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) x)
✓	accuracy	71.5%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) x))
✓	accuracy	53.8%	(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	98.2%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	accuracy	99.9%	(/.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)
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (*.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 x))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))

Results

149.0ms	214×	1	valid
29.0ms	33×	2	valid
2.0ms	9×	0	valid

Compiler

Compiled 225 to 27 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-div: 40.0ms (36.2% of total)

ival-sub: 28.0ms (25.4% of total)

backward-pass: 15.0ms (13.6% of total)

ival-mult: 15.0ms (13.6% of total)

ival-add: 11.0ms (10% of total)

const: 1.0ms (0.9% of total)

series5.0ms (0%)

Counts

18 → 216

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

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

Calls

54 calls:

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

rewrite409.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4440×	`/-lowering-/.f32`
4440×	`/-lowering-/.f64`
2174×	`-lowering-.f32`
2174×	`-lowering-.f64`
1560×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	134
1	216	125
2	2399	123
0	8243	123

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 817

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

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

simplify336.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2296×	`-lowering-.f32`
2296×	`-lowering-.f64`
2126×	`+-lowering-+.f64`
2126×	`+-lowering-+.f32`
1736×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1539
1	348	1325
2	929	1310
3	3076	1294
0	8462	1294

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

eval153.0ms (1.5%)

Compiler: Compiled 30276 to 2844 computations (90.6% saved)

prune127.0ms (1.2%)

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	1318	3	1321
Fresh	0	9	9
Picked	1	4	5
Done	0	7	7
Total	1319	23	1342

Accuracy

100.0%

Counts

1342 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
✓	98.1%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
	71.4%	(/.f64 (/.f64 (+.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) x)))) (+.f64 x #s(literal 1 binary64))) x)
✓	99.0%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) x)
	98.7%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x)
✓	98.7%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
	98.1%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
	98.0%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
	98.0%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
	98.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) x)
	97.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
	23.0%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
✓	97.1%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
	35.3%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
	35.3%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
✓	96.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
	96.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	5.1%	(/.f64 #s(literal -2 binary64) x)
✓	23.5%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) x))
✓	71.4%	(+.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))
✓	71.4%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))
	98.0%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
✓	5.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))

Compiler

Compiled 875 to 313 computations (64.2% saved)

regimes23.0ms (0.2%)

Counts

38 → 1

Calls

Call 1

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

Outputs
(/.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)

Calls

2 calls:

11.0ms	x
10.0ms	(+.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
99.0%	1	`x`
99.0%	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)

regimes16.0ms (0.2%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
6.0ms	(+.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
98.8%	1	`x`
98.8%	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)

regimes16.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
5.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.8%	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))))`
98.8%	1	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes5.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

5.0ms

Results

Accuracy	Segments	Branch
98.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal -2 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(/.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
98.0%	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 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(/.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
96.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
5.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	104
1	33	104

Stop Event

1×

saturated

Calls

Call 1

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

soundness2.2s (21.3%)

Rules

4898×	`-lowering-.f32`
4898×	`-lowering-.f64`
3602×	`/-lowering-/.f32`
3602×	`/-lowering-/.f64`
3590×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	179
1	240	163
2	2677	161
0	8877	161
0	11	28
1	93	27
2	1230	27
0	8312	27
0	30	148
1	229	134
2	2661	134
0	9468	134
0	145	1681
1	413	1473
2	1154	1434
3	3843	1423
0	8396	1423
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	108	385
1	312	351
2	829	338
3	2676	324
0	8488	324
0	200	1704
1	580	1490
2	1604	1452
3	5340	1443
0	8224	1443

Stop Event

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

Compiler

Compiled 549 to 294 computations (46.4% saved)

preprocess50.0ms (0.5%)

Remove: (negabs x)
Compiler: Compiled 302 to 106 computations (64.9% saved)

analyze5.0ms (0%)

sample2.4s (23.3%)

preprocess85.0ms (0.8%)

explain172.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize79.0ms (0.8%)

series3.0ms (0%)

rewrite403.0ms (4%)

simplify228.0ms (2.2%)

eval75.0ms (0.7%)

prune76.0ms (0.7%)

simplify176.0ms (1.7%)

localize371.0ms (3.6%)

series14.0ms (0.1%)

rewrite441.0ms (4.3%)

simplify275.0ms (2.7%)

eval191.0ms (1.9%)

prune159.0ms (1.6%)

simplify160.0ms (1.6%)

localize275.0ms (2.7%)

series6.0ms (0.1%)

rewrite359.0ms (3.5%)

simplify200.0ms (2%)

eval168.0ms (1.7%)

prune121.0ms (1.2%)

simplify173.0ms (1.7%)

localize231.0ms (2.3%)

series5.0ms (0%)

rewrite409.0ms (4%)

simplify336.0ms (3.3%)

eval153.0ms (1.5%)

prune127.0ms (1.2%)

regimes23.0ms (0.2%)

regimes16.0ms (0.2%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify8.0ms (0.1%)

soundness2.2s (21.3%)

preprocess50.0ms (0.5%)

end0.0ms (0%)

Profiling