Metrics for 3frac (problem 3.3.3)

analyze11.0ms (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: 6.0ms

ival-div: 2.0ms (35.5% of total)

ival-sub: 1.0ms (17.7% of total)

ival-add: 1.0ms (17.7% of total)

ival-fabs: 1.0ms (17.7% of total)

const: 0.0ms (0% of total)

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

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

sample4.4s (19.8%)

Results

2.9s	7168×	1	valid
450.0ms	791×	2	valid
128.0ms	297×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-div: 1.2s (42.5% of total)

ival-add: 546.0ms (19.4% of total)

ival-sub: 450.0ms (16% of total)

backward-pass: 293.0ms (10.4% of total)

ival->: 180.0ms (6.4% of total)

ival-fabs: 107.0ms (3.8% of total)

const: 39.0ms (1.4% of total)

Bogosity

preprocess212.0ms (1%)

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)

explain441.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
91	1	(8.894703130318725e+107)	1	(11.698832831579105)	`(+.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	-	0	-	`x`
0	0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
0	0	-	0	-	`(/.f64 #s(literal 2 binary64) x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`

Results

279.0ms	436×	1	valid
42.0ms	56×	2	valid
4.0ms	20×	0	valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-div: 119.0ms (58.8% of total)

backward-pass: 28.0ms (13.8% of total)

ival-sub: 27.0ms (13.4% of total)

ival-add: 26.0ms (12.9% of total)

const: 3.0ms (1.5% of total)

eval1.0ms (0%)

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

prune9.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.6%	(+.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)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize182.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))
✓	accuracy	68.7%	(+.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

115.0ms	217×	1	valid
23.0ms	29×	2	valid
2.0ms	10×	0	valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div: 30.0ms (39.8% of total)

ival-add: 28.0ms (37.2% of total)

backward-pass: 15.0ms (19.9% of total)

const: 2.0ms (2.7% of total)

series7.0ms (0%)

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite1.5s (6.7%)

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	31
1	93	30
2	1225	30
0	8272	30

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 470

Calls

Call 1

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

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

simplify579.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2258×	`-lowering-.f32`
2258×	`-lowering-.f64`
2150×	`+-lowering-+.f64`
2150×	`+-lowering-+.f32`
1606×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	415
1	320	398
2	854	382
3	2740	367
0	8418	367

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval167.0ms (0.8%)

Compiler: Compiled 18949 to 2012 computations (89.4% saved)

prune165.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	524	6	530
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	524	7	531

Accuracy

99.3%

Counts

531 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.1%	(/.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))
	17.1%	(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))))
▶	98.9%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
▶	98.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
▶	5.3%	(/.f64 #s(literal -2 binary64) x)
▶	18.6%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64)))))
✓	68.6%	(+.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 240 to 123 computations (48.8% saved)

simplify505.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	384	(.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x)
✓	cost-diff	1152	(+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)))
✓	cost-diff	1152	(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.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 (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	256	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(*.f64 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)))

Rules

2728×	`--lowering--.f32`
2728×	`--lowering--.f64`
1700×	`-lowering-.f32`
1700×	`-lowering-.f64`
1650×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	182
1	76	173
2	193	164
3	597	155
4	3226	142
5	5519	142
0	8074	142

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize840.0ms (3.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x)
✓	accuracy	99.4%	(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
✓	accuracy	6.2%	(+.f64 (.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.7%	(+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))
✓	accuracy	68.7%	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	53.5%	(/.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.4%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))

Results

368.0ms	132×	2	valid
161.0ms	46×	3	valid
131.0ms	76×	1	valid
2.0ms	2×	0	valid

Compiler

Compiled 226 to 29 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-mult: 108.0ms (31.2% of total)

ival-div: 87.0ms (25.1% of total)

backward-pass: 74.0ms (21.4% of total)

ival-add: 74.0ms (21.4% of total)

const: 3.0ms (0.9% of total)

series31.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(+ (* (+ (* 1 (+ x -1)) (+ 1 x)) x) (* (+ (* x x) -1) -2))
2.0ms	x	@	0	(/ -2 x)
2.0ms	x	@	0	(/ (+ 2 (/ 2 (* x x))) (* x (* x x)))
1.0ms	x	@	inf	(+ (* (+ (* 1 (+ x -1)) (+ 1 x)) x) (* (+ (* x x) -1) -2))
1.0ms	x	@	0	(/ 2 (* x x))

rewrite782.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2854×	`/-lowering-/.f32`
2854×	`/-lowering-/.f64`
2314×	`fma-lowering-fma.f32`
2314×	`fma-lowering-fma.f64`
2212×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	146
1	220	130
2	2404	126
0	8538	126

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 591

Calls

Call 1

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

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

simplify528.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2562×	`-lowering-.f32`
2562×	`-lowering-.f64`
1942×	`+-lowering-+.f64`
1942×	`+-lowering-+.f32`
1442×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1240
1	367	1197
2	1021	1163
3	3356	1143
0	8639	1143

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

eval272.0ms (1.2%)

Compiler: Compiled 24062 to 2162 computations (91% saved)

prune219.0ms (1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	910	8	918
Fresh	0	1	1
Picked	2	3	5
Done	1	0	1
Total	913	12	925

Accuracy

100.0%

Counts

925 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
▶	48.9%	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) x) (.f64 x (.f64 x x)))
▶	98.9%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
	98.9%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
	17.1%	(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))))
✓	98.9%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
	99.3%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
✓	98.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
▶	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x)))
✓	5.3%	(/.f64 #s(literal -2 binary64) x)
	98.8%	(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
▶	5.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))

Compiler

Compiled 270 to 151 computations (44.1% saved)

simplify480.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

4240×	`-lowering-.f32`
4240×	`-lowering-.f64`
2818×	`fma-define`
1886×	`cube-prod`
1378×	`/-lowering-/.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	22	141
1	53	135
2	108	135
3	198	135
4	427	135
5	1180	135
6	1911	128
7	3161	128
8	4186	128
9	4546	128
10	5234	128
11	6652	128
12	7358	128
0	8112	128

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

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

localize300.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) x)
✓	accuracy	99.4%	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) x) (.f64 x (.f64 x x)))
✓	accuracy	53.6%	(/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
✓	accuracy	99.5%	(/.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	99.5%	(/.f64 #s(literal 2 binary64) (*.f64 x x))

Results

214.0ms

256×

valid

Compiler

Compiled 165 to 23 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-div: 66.0ms (56.9% of total)

ival-add: 31.0ms (26.7% of total)

ival-mult: 18.0ms (15.5% of total)

const: 1.0ms (0.9% of total)

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

series18.0ms (0.1%)

Counts

17 → 204

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

Calls

51 calls:

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

rewrite788.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4820×	`-lowering-.f32`
4820×	`-lowering-.f64`
4538×	`/-lowering-/.f32`
4538×	`/-lowering-/.f64`
880×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	114
1	146	104
2	1174	102
0	8444	102

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 989

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

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

simplify745.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4448×	`-lowering-.f32`
4448×	`-lowering-.f64`
2878×	`fma-define`
2262×	`fma-lowering-fma.f32`
2262×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	39	1229
1	68	1157
2	117	1157
3	263	1157
4	464	1157
5	776	1076
6	1688	1058
7	3373	1058
8	3551	1058
9	3725	1058
10	3957	1058
11	4202	1058
12	4541	1058
13	7462	1058
14	7951	1058
0	8021	1058

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

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

eval378.0ms (1.7%)

Compiler: Compiled 25147 to 3084 computations (87.7% saved)

prune383.0ms (1.7%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1362	2	1364
Fresh	2	2	4
Picked	1	4	5
Done	0	3	3
Total	1365	11	1376

Accuracy

100.0%

Counts

1376 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
▶	98.9%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	48.9%	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) x) (.f64 x (.f64 x x)))
▶	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) x)
✓	98.9%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
▶	17.1%	(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))))
✓	98.9%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
▶	99.3%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))
✓	98.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	5.3%	(/.f64 #s(literal -2 binary64) x)
✓	5.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))

Compiler

Compiled 138 to 76 computations (44.9% saved)

simplify500.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	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 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) x)
✓	cost-diff	384	(.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))))
✓	cost-diff	384	(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))))
✓	cost-diff	384	(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	768	(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))

Rules

2516×	`-lowering-.f32`
2516×	`-lowering-.f64`
1752×	`fnmsub-define`
1538×	`+-lowering-+.f64`
1538×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	187
1	68	168
2	189	159
3	498	140
4	1376	133
5	4534	133
6	7418	133
0	8351	133

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize742.0ms (3.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	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 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) x)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.8%	(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))))
✓	accuracy	99.7%	(+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))
✓	accuracy	53.6%	(/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))
✓	accuracy	7.3%	(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x)
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x))

Results

313.0ms	122×	2	valid
156.0ms	54×	3	valid
116.0ms	78×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 201 to 27 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 349.0ms

ival-div: 118.0ms (33.8% of total)

ival-mult: 118.0ms (33.8% of total)

backward-pass: 62.0ms (17.8% of total)

ival-add: 46.0ms (13.2% of total)

const: 4.0ms (1.1% of total)

series20.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

Outputs
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt (* -1 x)>
#<alt (* x (- (pow x 2) 1))>
#<alt (* x (- (pow x 2) 1))>
#<alt (* x (- (pow x 2) 1))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -2 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 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/4 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/4 x) 1/2))>
#<alt (* x (- (* x (+ 1/4 (* 1/8 x))) 1/2))>
#<alt (* x (- (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))) 1/2))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1))>
#<alt (* x (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/4 x) 1/2))>
#<alt (* x (- (* x (- (* 3/8 x) 1/4)) 1/2))>
#<alt (* x (- (* x (- (* x (+ 3/8 (* 3/16 x))) 1/4)) 1/2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 3 (* 6 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 2 (+ (* 3 (/ 1 x)) (/ 6 (pow x 2)))) x)) 1))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 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 (/ 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 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 (* -1/2 x)>
#<alt (* x (- (* 1/4 x) 1/2))>
#<alt (* x (- (* x (+ 1/4 (* 1/8 x))) 1/2))>
#<alt (* x (- (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))) 1/2))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1))>
#<alt (* x (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x)))))>
#<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)))))>

Calls

51 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* (+ 1 x) (/ (* x (+ x -1)) (+ x (* (+ x -1) -2))))
1.0ms	x	@	inf	(/ (+ (* 1 (/ (* x (+ x -1)) (+ x (* (+ x -1) -2)))) (+ 1 x)) (* (+ 1 x) (/ (* x (+ x -1)) (+ x (* (+ x -1) -2)))))
1.0ms	x	@	-inf	(/ (+ (* 1 (/ (* x (+ x -1)) (+ x (* (+ x -1) -2)))) (+ 1 x)) (* (+ 1 x) (/ (* x (+ x -1)) (+ x (* (+ x -1) -2)))))
1.0ms	x	@	0	(/ (+ (* 1 (/ (* x (+ x -1)) (+ x (* (+ x -1) -2)))) (+ 1 x)) (* (+ 1 x) (/ (* x (+ x -1)) (+ x (* (+ x -1) -2)))))
0.0ms	x	@	inf	(* (+ 1 x) (/ (* x (+ x -1)) (+ x (* (+ x -1) -2))))

rewrite950.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4546×	`-lowering-.f32`
4546×	`-lowering-.f64`
2854×	`/-lowering-/.f32`
2854×	`/-lowering-/.f64`
2608×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	155
1	183	132
2	1692	132
0	8319	132

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 695

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -2 binary64) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (.f64 x (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x x) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) x))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x x)))
(+.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (*.f64 x x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal -1 binary64) (.f64 x (.f64 x x)))
(fma.f64 (*.f64 x x) x (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) x (.f64 x (.f64 x x)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) x) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) x)
(.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(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)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 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 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)))) (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)))))) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) (+.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))))))) (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)))) (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)))) (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)))) (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)))))) (+.f64 x #s(literal 1 binary64)))))
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(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(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 (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal -8 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 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal -8 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))))))

simplify664.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3018×	`-lowering-.f32`
3018×	`-lowering-.f64`
1946×	`fma-lowering-fma.f32`
1946×	`fma-lowering-fma.f64`
1780×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	1359
1	557	1298
2	1645	1219
3	5442	1214
0	8492	1214

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -2 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 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/4 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))
(/ -2 x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)
(/ -2 x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x))
(* -1/2 x)
(* x (- (* 1/4 x) 1/2))
(* x (- (* x (+ 1/4 (* 1/8 x))) 1/2))
(* x (- (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))) 1/2))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x)))))
(* -1/2 x)
(* x (- (* -1/4 x) 1/2))
(* x (- (* x (- (* 3/8 x) 1/4)) 1/2))
(* x (- (* x (- (* x (+ 3/8 (* 3/16 x))) 1/4)) 1/2))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 3 (* 6 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 2 (+ (* 3 (/ 1 x)) (/ 6 (pow x 2)))) x)) 1))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 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)
(/ 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 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)
(* -1/2 x)
(* x (- (* 1/4 x) 1/2))
(* x (- (* x (+ 1/4 (* 1/8 x))) 1/2))
(* x (- (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))) 1/2))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x)))))
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)))))

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 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x))))))) (/.f64 #s(literal -2 binary64) 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)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.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 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) 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 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x (*.f64 x x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (pow x 2) 1))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(* x (- (pow x 2) 1))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(* x (- (pow x 2) 1))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (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 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x))))))) (/.f64 #s(literal -2 binary64) 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)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x)) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.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 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) 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 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* 1/4 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/4 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/8 binary64)))))))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) x)) x)) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))
(/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal -8 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x)) x)) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/4 x) 1/2))
(.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(* x (- (* x (+ 1/4 (* 1/8 x))) 1/2))
(.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/8 binary64)))) #s(literal -1/2 binary64)))
(* x (- (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1))
(-.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)) x)
(* x (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))))
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) x) (-.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) (/ 2 (pow x 2))))))
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x)))))
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) x) (-.f64 #s(literal -1 binary64) x))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/4 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (- (* x (- (* 3/8 x) 1/4)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 3/8 binary64))))))
(* x (- (* x (- (* x (+ 3/8 (* 3/16 x))) 1/4)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (.f64 x #s(literal 3/16 binary64))))))))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1))
(.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 3 (* 6 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -6 binary64) x)) (*.f64 x x)))) #s(literal -2 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1))
(.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 2 (+ (* 3 (/ 1 x)) (/ 6 (pow x 2)))) x)) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)) (/.f64 (/.f64 #s(literal -6 binary64) x) 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 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 2 (pow x 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 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/4 x) 1/2))
(.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(* x (- (* x (+ 1/4 (* 1/8 x))) 1/2))
(.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/8 binary64)))) #s(literal -1/2 binary64)))
(* x (- (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* x (- (* -1 (/ (+ 1 (* 2 (/ 1 x))) x)) 1))
(-.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)) x)
(* x (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))))
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) x) (-.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) (/ 2 (pow x 2))))))
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x)))))
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) x) (-.f64 #s(literal -1 binary64) 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)

eval313.0ms (1.4%)

Compiler: Compiled 36183 to 2788 computations (92.3% saved)

prune320.0ms (1.4%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1006	4	1010
Fresh	0	0	0
Picked	2	2	4
Done	2	5	7
Total	1010	11	1021

Accuracy

100.0%

Counts

1021 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	48.9%	(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) x) (.f64 x (.f64 x x)))
✓	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) x)
	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) x)
✓	98.9%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
	16.0%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))) x))
	99.3%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64)))))
✓	98.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	5.3%	(/.f64 #s(literal -2 binary64) x)
✓	5.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))

Compiler

Compiled 415 to 155 computations (62.7% saved)

regimes21.0ms (0.1%)

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

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

Calls

2 calls:

10.0ms	x
8.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes7.0ms (0%)

Counts

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0%)

Counts

8 → 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) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x)))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

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) x) (*.f64 x x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (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:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (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:

3.0ms

Results

Accuracy	Segments	Branch
5.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	19	42

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness4.5s (20.3%)

Rules

4898×	`-lowering-.f32`
4898×	`-lowering-.f64`
4820×	`-lowering-.f32`
4820×	`-lowering-.f64`
4546×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	93	30
2	1225	30
0	8272	30
0	22	114
1	146	104
2	1174	102
0	8444	102
0	111	415
1	320	398
2	854	382
3	2740	367
0	8418	367
0	26	155
1	183	132
2	1692	132
0	8319	132
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	28	146
1	220	130
2	2404	126
0	8538	126
0	133	1240
1	367	1197
2	1021	1163
3	3356	1143
0	8639	1143

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 223 to 138 computations (38.1% saved)

preprocess135.0ms (0.6%)

Remove: (negabs x)
Compiler: Compiled 178 to 94 computations (47.2% saved)

analyze11.0ms (0%)

sample4.4s (19.8%)

preprocess212.0ms (1%)

explain441.0ms (2%)

eval1.0ms (0%)

prune9.0ms (0%)

simplify10.0ms (0%)

localize182.0ms (0.8%)

series7.0ms (0%)

rewrite1.5s (6.7%)

simplify579.0ms (2.6%)

eval167.0ms (0.8%)

prune165.0ms (0.7%)

simplify505.0ms (2.3%)

localize840.0ms (3.8%)

series31.0ms (0.1%)

rewrite782.0ms (3.5%)

simplify528.0ms (2.4%)

eval272.0ms (1.2%)

prune219.0ms (1%)

simplify480.0ms (2.2%)

localize300.0ms (1.4%)

series18.0ms (0.1%)

rewrite788.0ms (3.6%)

simplify745.0ms (3.4%)

eval378.0ms (1.7%)

prune383.0ms (1.7%)

simplify500.0ms (2.3%)

localize742.0ms (3.4%)

series20.0ms (0.1%)

rewrite950.0ms (4.3%)

simplify664.0ms (3%)

eval313.0ms (1.4%)

prune320.0ms (1.4%)

regimes21.0ms (0.1%)

regimes7.0ms (0%)

regimes10.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

simplify15.0ms (0.1%)

soundness4.5s (20.3%)

preprocess135.0ms (0.6%)

end0.0ms (0%)

Profiling