Metrics for 3frac (problem 3.3.3)

analyze3.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

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 13 computations (35% saved)

sample2.2s (20.3%)

Memory

35.5MiB live, 3 026.4MiB allocated

Samples

1.4s	7 288×	1	valid
321.0ms	514×	2	valid
36.0ms	454×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-div: 509.0ms (36.2% of total)

adjust: 275.0ms (19.6% of total)

ival-sub: 240.0ms (17.1% of total)

ival-add: 198.0ms (14.1% of total)

ival-fabs: 111.0ms (7.9% of total)

ival->: 51.0ms (3.6% of total)

exact: 17.0ms (1.2% of total)

ival-assert: 6.0ms (0.4% of total)

Bogosity

preprocess41.0ms (0.4%)

Memory

2.4MiB live, 80.4MiB allocated

Algorithm

2×	egg-herbie

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
144×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	45	46
2	109	45
3	284	45
4	549	45
5	653	45
6	666	45
0	10	15
1	21	15
2	39	15
3	67	15
4	127	15
5	242	15
6	385	15
7	498	15
8	545	15
0	545	15

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

Symmetry

(negabs x)

explain250.0ms (2.3%)

Memory

-34.9MiB live, 360.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.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))))`	cancellation	96	0

Confusion

	Predicted +	Predicted -
+	96	0
-	0	160

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	96	0	0
-	0	0	160

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	160
1	96

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

69.0ms	458×	1	valid
5.0ms	26×	2	valid
2.0ms	28×	0	valid

Compiler

Compiled 128 to 44 computations (65.6% saved)

Precisions

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

ival-div: 24.0ms (45.4% of total)

ival-add: 11.0ms (20.8% of total)

ival-sub: 9.0ms (17% of total)

adjust: 8.0ms (15.1% of total)

exact: 1.0ms (1.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.2%	(+.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 16 to 10 computations (37.5% saved)

simplify41.0ms (0.4%)

Memory

-0.7MiB live, 41.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
144×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	21	46
2	39	46
3	67	46
4	127	46
5	242	46
6	385	46
7	498	46
8	545	46
0	545	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize71.0ms (0.7%)

Memory

29.2MiB live, 106.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	66.1%	(+.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))))

Samples

53.0ms	229×	1	valid
3.0ms	13×	2	valid
1.0ms	14×	0	valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-add: 25.0ms (55.6% of total)

ival-div: 11.0ms (24.5% of total)

adjust: 4.0ms (8.9% of total)

ival-sub: 4.0ms (8.9% of total)

exact: 1.0ms (2.2% of total)

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

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

series3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))>
#<alt (- (/ 1 (+ x 1)) (/ 2 x))>
#<alt (/ 1 (+ x 1))>
#<alt (+ x 1)>
#<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 (/ -2 x)>
#<alt (/ (- x 2) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 2) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) 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 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 -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 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0ms	x	@	0	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0ms	x	@	-inf	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0ms	x	@	inf	(/ 1 (+ x 1))
0.0ms	x	@	inf	(- (/ 1 (+ x 1)) (/ 2 x))

rewrite366.0ms (3.4%)

Memory

23.2MiB live, 762.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 034×	`accelerator-lowering-fma.f32`
6 034×	`accelerator-lowering-fma.f64`
5 166×	`-lowering-.f32`
5 166×	`-lowering-.f64`
4 962×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	87	35
2	1088	35
0	8494	32

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 441

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 (/.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 -2 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 -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.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 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.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))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #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 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #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 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #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 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)))) (/.f64 (/.f64 (.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)))))
(-.f64 (/.f64 (/.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 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #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 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) 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))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.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))))))
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simplify347.0ms (3.2%)

Memory

-21.9MiB live, 539.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 678×	`accelerator-lowering-fma.f32`
8 678×	`accelerator-lowering-fma.f64`
2 816×	`--lowering--.f32`
2 816×	`--lowering--.f64`
2 690×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	449
1	268	428
2	699	407
3	2208	394
4	6905	394
0	8101	388

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

eval63.0ms (0.6%)

Memory: 10.8MiB live, 162.7MiB allocated
Compiler: Compiled 16 885 to 1 683 computations (90% saved)

prune71.0ms (0.7%)

Memory

-30.1MiB live, 186.2MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	495	6	501
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	495	7	502

Accuracy

99.4%

Counts

502 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
	20.3%	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
▶	99.2%	(/.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)))
▶	99.0%	(/.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)))
▶	5.0%	(/.f64 #s(literal -2 binary64) x)
✓	66.2%	(+.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 208 to 112 computations (46.2% saved)

simplify427.0ms (3.9%)

Memory

31.3MiB live, 420.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
✓	cost-diff	192	(fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	384	(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))

Rules

12 696×	`accelerator-lowering-fma.f32`
12 696×	`accelerator-lowering-fma.f64`
2 002×	`+-lowering-+.f64`
2 002×	`+-lowering-+.f32`
1 928×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	172
1	67	170
2	162	170
3	487	164
4	1299	162
5	4244	162
6	7945	162
0	8294	158

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize287.0ms (2.6%)

Memory

-38.3MiB live, 225.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	7.4%	(fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.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)))
✓	accuracy	98.7%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	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	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
✓	accuracy	98.7%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	98.7%	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))

Samples

204.0ms	220×	1	valid
7.0ms	13×	3	valid
4.0ms	9×	2	valid
2.0ms	14×	0	valid

Compiler

Compiled 185 to 27 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-sub: 91.0ms (47.7% of total)

ival-mult: 44.0ms (23.1% of total)

ival-div: 39.0ms (20.4% of total)

ival-add: 8.0ms (4.2% of total)

adjust: 7.0ms (3.7% of total)

exact: 1.0ms (0.5% of total)

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

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

series9.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite789.0ms (7.2%)

Memory

-9.1MiB live, 619.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 946×	`/-lowering-/.f32`
4 946×	`/-lowering-/.f64`
4 774×	`-lowering-.f32`
4 774×	`-lowering-.f64`
2 938×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
1	191	128
2	1872	128
0	8516	114

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 765

Calls

Call 1

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

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

simplify1.2s (10.8%)

Memory

-1.8MiB live, 484.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 694×	`accelerator-lowering-fma.f32`
10 694×	`accelerator-lowering-fma.f64`
4 074×	`-lowering-.f32`
4 074×	`-lowering-.f64`
1 974×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1339
1	269	1332
2	691	1265
3	2245	1252
4	5442	1252
0	8195	1173

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(/ 2 (pow x 7))
(/ (+ 2 (* 2 (pow x 2))) (pow x 7))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(/ -2 (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ -2 (pow x 2))
(/ (- (* -2 (pow x 2)) 2) (pow x 2))
(/ (- (* -2 (pow x 2)) 2) (pow x 2))
(/ (- (* -2 (pow x 2)) 2) (pow x 2))
-2
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
-2
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* x (- x 1))) x)
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)
(/ 1 (pow x 2))
(/ (- 1 (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 2))

Outputs
(/ 2 (pow x 7))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 7))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))
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eval273.0ms (2.5%)

Memory: 24.3MiB live, 287.5MiB allocated
Compiler: Compiled 32 292 to 2 762 computations (91.4% saved)

prune319.0ms (2.9%)

Memory

-10.4MiB live, 310.9MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 132	12	1 144
Fresh	1	0	1
Picked	1	4	5
Done	1	0	1
Total	1 135	16	1 151

Accuracy

100.0%

Counts

1 151 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.3%	(fma.f64 (-.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
▶	18.5%	(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
	98.8%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
▶	99.4%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x)
	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
▶	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
	16.5%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x #s(literal -2 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
	27.9%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (/.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
	17.7%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
✓	99.2%	(/.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)))
✓	99.0%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
	20.3%	(/.f64 (+.f64 (neg.f64 (fma.f64 x x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
✓	98.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	5.0%	(/.f64 #s(literal -2 binary64) x)
▶	98.8%	(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	99.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))

Compiler

Compiled 492 to 240 computations (51.2% saved)

simplify441.0ms (4%)

Memory

-20.4MiB live, 792.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	192	(*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	384	(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
✓	cost-diff	1152	(fma.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)) (fma.f64 x x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(-.f64 #s(literal -2 binary64) x)
✓	cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	192	(fma.f64 (-.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	704	(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.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 x))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x)

Rules

19 346×	`accelerator-lowering-fma.f32`
19 346×	`accelerator-lowering-fma.f64`
3 266×	`+-lowering-+.f64`
3 266×	`+-lowering-+.f32`
2 932×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	179
1	94	171
2	231	167
3	779	165
4	2659	147
0	8787	143

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

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

localize172.0ms (1.6%)

Memory

40.3MiB live, 433.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	99.9%	(*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.5%	(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	9.3%	(fma.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)) (fma.f64 x x x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	11.8%	(fma.f64 (-.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x)
✓	accuracy	98.8%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	98.7%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))

Samples

103.0ms	227×	1	valid
11.0ms	12×	5	exit
4.0ms	6×	3	valid
3.0ms	7×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 192 to 32 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-div: 28.0ms (30.7% of total)

ival-mult: 27.0ms (29.6% of total)

ival-add: 23.0ms (25.2% of total)

adjust: 10.0ms (11% of total)

ival-sub: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series12.0ms (0.1%)

Memory

-11.1MiB live, 25.9MiB allocated

Counts

19 → 228

Calls

Call 1

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

57 calls:

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

rewrite371.0ms (3.4%)

Memory

13.8MiB live, 636.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 142×	`accelerator-lowering-fma.f32`
5 142×	`accelerator-lowering-fma.f64`
4 326×	`/-lowering-/.f32`
4 326×	`/-lowering-/.f64`
3 186×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	157
1	243	145
2	2408	145
0	8323	130

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 851

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) #s(literal -1 binary64)))
(-.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 #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 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (neg.f64 (.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (neg.f64 (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (neg.f64 (.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 4 binary64) (.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 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))))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) (neg.f64 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))) (.f64 x x)) x)
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (/.f64 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 (neg.f64 (.f64 x (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (/.f64 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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (neg.f64 (.f64 x (*.f64 x x))))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (neg.f64 (.f64 x x))) (neg.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (neg.f64 (.f64 x x))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 4 binary64)) (.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) 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 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 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 x x)) x))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 x (/.f64 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 x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 4 binary64)) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (neg.f64 (.f64 x (neg.f64 (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)) (neg.f64 (.f64 x x)))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 (.f64 x x)) x)))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) #s(literal 1 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (*.f64 x x))))
(pow.f64 (.f64 x (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 x (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (neg.f64 (*.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 x)) (/.f64 (/.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)))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (neg.f64 (.f64 x x))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 x (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (/.f64 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 (+.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 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (neg.f64 (.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 #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 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) x)
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 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 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 4 binary64)) (.f64 x x))) (.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 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 4 binary64)) (.f64 x x))) (neg.f64 (.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)))))) (/.f64 #s(literal 1 binary64) 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 (-.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 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))) (neg.f64 (*.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) x)) (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (.f64 (.f64 x 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 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (.f64 x x))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)) (neg.f64 x))
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal -1 binary64)) (neg.f64 (*.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)))))) (/.f64 #s(literal 1 binary64) (.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 x))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (neg.f64 (neg.f64 (neg.f64 (.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 (neg.f64 x)))
(/.f64 (neg.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))) (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 x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.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 x #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 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.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))
(expm1.f64 (*.f64 (log.f64 x) #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 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.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 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.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 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (neg.f64 x))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))

simplify325.0ms (3%)

Memory

-17.4MiB live, 430.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 672×	`accelerator-lowering-fma.f32`
10 672×	`accelerator-lowering-fma.f64`
3 650×	`-lowering-.f32`
3 650×	`-lowering-.f64`
1 970×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1359
1	261	1332
2	720	1295
3	2809	1267
4	7866	1267
0	8012	1241

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

eval199.0ms (1.8%)

Memory: 29.5MiB live, 209.7MiB allocated
Compiler: Compiled 31 402 to 2 934 computations (90.7% saved)

prune131.0ms (1.2%)

Memory

-12.1MiB live, 310.1MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 319	3	1 322
Fresh	4	3	7
Picked	3	2	5
Done	1	3	4
Total	1 327	11	1 338

Accuracy

100.0%

Counts

1 338 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.3%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
▶	43.2%	(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x x)))) x)
▶	98.8%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
▶	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
✓	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
	27.9%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (/.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
✓	99.2%	(/.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)))
▶	99.4%	(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
✓	98.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	5.0%	(/.f64 #s(literal -2 binary64) x)
✓	98.8%	(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))

Compiler

Compiled 228 to 120 computations (47.4% saved)

simplify285.0ms (2.6%)

Memory

2.4MiB live, 484.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	128	(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
✓	cost-diff	384	(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x x)))) x)
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	128	(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	cost-diff	384	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	192	(*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))

Rules

11 174×	`accelerator-lowering-fma.f32`
11 174×	`accelerator-lowering-fma.f64`
2 514×	`+-lowering-+.f64`
2 514×	`+-lowering-+.f32`
1 914×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	151
1	51	139
2	108	133
3	228	133
4	402	133
5	864	125
6	1716	125
7	3887	125
8	7760	125
0	8095	119

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize74.0ms (0.7%)

Memory

1.2MiB live, 118.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x x)))) x)
✓	accuracy	30.1%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	38.5%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
✓	accuracy	98.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(fma.f64 x x x)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	99.8%	(*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))

Samples

40.0ms

256×

valid

Compiler

Compiled 165 to 23 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 13.0ms (47.7% of total)

ival-mult: 8.0ms (29.3% of total)

ival-add: 6.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite367.0ms (3.4%)

Memory

17.0MiB live, 557.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 052×	`accelerator-lowering-fma.f32`
6 052×	`accelerator-lowering-fma.f64`
5 040×	`-lowering-.f32`
5 040×	`-lowering-.f64`
4 854×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	119
1	140	103
2	1012	99
0	8457	92

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 304

Calls

Call 1

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

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

simplify276.0ms (2.5%)

Memory

22.0MiB live, 414.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 674×	`accelerator-lowering-fma.f32`
8 674×	`accelerator-lowering-fma.f64`
2 930×	`-lowering-.f32`
2 930×	`-lowering-.f64`
1 986×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1151
1	177	1142
2	507	1125
3	1824	1115
4	5596	1115
0	8391	1085

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval200.0ms (1.8%)

Memory: 0.1MiB live, 302.4MiB allocated
Compiler: Compiled 37 288 to 3 117 computations (91.6% saved)

prune199.0ms (1.8%)

Memory

16.1MiB live, 328.6MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1 738	11	1 749
Fresh	1	0	1
Picked	2	3	5
Done	2	3	5
Total	1 743	17	1 760

Accuracy

100.0%

Counts

1 760 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.2%	(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) x) (.f64 x (.f64 x (.f64 x x))))
	52.0%	(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) x) (.f64 x x)) (*.f64 x (neg.f64 x)))
	99.8%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
✓	98.8%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
	42.6%	(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x (*.f64 x x)))) x)
	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
✓	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
✓	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
	36.8%	(/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
	99.4%	(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))
✓	99.4%	(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
	99.4%	(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
	51.3%	(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	98.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	5.0%	(/.f64 #s(literal -2 binary64) x)
	91.0%	(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))

Compiler

Compiled 685 to 232 computations (66.1% saved)

regimes19.0ms (0.2%)

Memory

-3.7MiB live, 33.9MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
7.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(+.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)

regimes6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(+.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
99.4%	1	`x`
99.4%	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)

regimes5.0ms (0.1%)

Memory

-30.2MiB live, 7.8MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	(+.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))))
2.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(+.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
51.3%	1	`x`
51.3%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	(+.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
5.0%	1	`x`
5.0%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	30	46

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness930.0ms (8.5%)

Memory

-29.0MiB live, 743.9MiB allocated

Rules

10 672×	`accelerator-lowering-fma.f32`
10 672×	`accelerator-lowering-fma.f64`
8 678×	`accelerator-lowering-fma.f32`
8 678×	`accelerator-lowering-fma.f64`
8 674×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1359
1	261	1332
2	720	1295
3	2809	1267
4	7866	1267
0	8012	1241
0	25	128
1	191	128
2	1872	128
0	8516	114
0	21	119
1	140	103
2	1012	99
0	8457	92
0	10	35
1	87	35
2	1088	35
0	8494	32
0	76	1151
1	177	1142
2	507	1125
3	1824	1115
4	5596	1115
0	8391	1085
0	102	449
1	268	428
2	699	407
3	2208	394
4	6905	394
0	8101	388

Stop Event

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

Compiler

Compiled 231 to 138 computations (40.3% saved)

preprocess97.0ms (0.9%)

Memory: -1.5MiB live, 152.4MiB allocated
Compiler: Compiled 170 to 96 computations (43.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	48
1	45	46
2	109	45
3	284	45
4	549	45
5	653	45
6	666	45
0	10	15
1	21	15
2	39	15
3	67	15
4	127	15
5	242	15
6	385	15
7	498	15
8	545	15
0	545	15

Iter	Nodes	Cost
0	19	48
1	45	46
2	109	45
3	284	45
4	549	45
5	653	45
6	666	45
0	10	15
1	21	15
2	39	15
3	67	15
4	127	15
5	242	15
6	385	15
7	498	15
8	545	15
0	545	15

analyze3.0ms (0%)

sample2.2s (20.3%)

preprocess41.0ms (0.4%)

explain250.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify41.0ms (0.4%)

localize71.0ms (0.7%)

series3.0ms (0%)

rewrite366.0ms (3.4%)

simplify347.0ms (3.2%)

eval63.0ms (0.6%)

prune71.0ms (0.7%)

simplify427.0ms (3.9%)

localize287.0ms (2.6%)

series9.0ms (0.1%)

rewrite789.0ms (7.2%)

simplify1.2s (10.8%)

eval273.0ms (2.5%)

prune319.0ms (2.9%)

simplify441.0ms (4%)

localize172.0ms (1.6%)

series12.0ms (0.1%)

rewrite371.0ms (3.4%)

simplify325.0ms (3%)

eval199.0ms (1.8%)

prune131.0ms (1.2%)

simplify285.0ms (2.6%)

localize74.0ms (0.7%)

series5.0ms (0%)

rewrite367.0ms (3.4%)

simplify276.0ms (2.5%)

eval200.0ms (1.8%)

prune199.0ms (1.8%)

regimes19.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness930.0ms (8.5%)

preprocess97.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	48
1	45	46
2	109	45
3	284	45
4	549	45
5	653	45
6	666	45
0	10	15
1	21	15
2	39	15
3	67	15
4	127	15
5	242	15
6	385	15
7	498	15
8	545	15
0	545	15