Metrics for 3frac (problem 3.3.3)

analyze4.0ms (0%)

Memory

7.9MiB live, 7.9MiB 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)

sample2.0s (16.5%)

Memory

19.1MiB live, 3 152.0MiB allocated

Samples

1.4s	7 254×	1	valid
151.0ms	580×	2	valid
36.0ms	422×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-div: 422.0ms (36.2% of total)

ival-sub: 189.0ms (16.2% of total)

ival-add: 185.0ms (15.9% of total)

adjust: 172.0ms (14.7% of total)

ival-fabs: 109.0ms (9.3% of total)

ival->: 63.0ms (5.4% of total)

exact: 19.0ms (1.6% of total)

ival-assert: 6.0ms (0.5% of total)

Bogosity

preprocess39.0ms (0.3%)

Memory

27.3MiB live, 64.9MiB 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)

explain180.0ms (1.5%)

Memory

-15.2MiB live, 370.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
85	-	-	`(+.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	85	0

Confusion

	Predicted +	Predicted -
+	85	0
-	0	171

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	0
-	0	0	171

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	171
1	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms	444×	1	valid
9.0ms	42×	2	valid
3.0ms	26×	0	valid

Compiler

Compiled 128 to 44 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 27.0ms (44.1% of total)

ival-add: 11.0ms (18% of total)

ival-sub: 11.0ms (18% of total)

adjust: 10.0ms (16.3% of total)

exact: 1.0ms (1.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.5%	(+.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)

simplify24.0ms (0.2%)

Memory

8.5MiB live, 46.2MiB 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))

localize93.0ms (0.8%)

Memory

3.4MiB live, 126.7MiB 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	70.5%	(+.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

73.0ms	222×	1	valid
4.0ms	21×	2	valid
1.0ms	13×	0	valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 47.0ms (76.2% of total)

ival-add: 5.0ms (8.1% of total)

ival-sub: 5.0ms (8.1% of total)

adjust: 4.0ms (6.5% of total)

exact: 1.0ms (1.6% of total)

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

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

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB 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	(+ x 1)

rewrite716.0ms (6%)

Memory

20.9MiB live, 929.9MiB 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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(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (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) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #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 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.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 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.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 (.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.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 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #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 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.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))))) (fma.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x 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))) (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #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 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))

simplify343.0ms (2.9%)

Memory

-5.0MiB live, 691.5MiB 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) (*.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 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 (fma.f64 x x #s(literal 0 binary64))))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ (+ 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 (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ (+ 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) (fma.f64 x x #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(* -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) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(* -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) (fma.f64 x x #s(literal 0 binary64)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))))) (.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ -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) (fma.f64 x x #s(literal 0 binary64)))) 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) (fma.f64 x x #s(literal 0 binary64)))) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) 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) (fma.f64 x x #s(literal 0 binary64)))) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(fma.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) 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) (fma.f64 x x #s(literal 0 binary64)))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) 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) (fma.f64 x x #s(literal 0 binary64)))) 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))

eval66.0ms (0.5%)

Memory: 34.2MiB live, 184.1MiB allocated
Compiler: Compiled 17 138 to 1 687 computations (90.2% saved)

prune276.0ms (2.3%)

Memory

-65.2MiB live, 174.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	493	8	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	494	8	502

Accuracy

98.9%

Counts

502 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.9%	(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))))
▶	70.7%	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x) (.f64 x (+.f64 x #s(literal -1 binary64))))
▶	18.7%	(/.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))))
▶	98.6%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
	70.6%	(/.f64 (+.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) x))
	98.1%	(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
▶	5.2%	(/.f64 #s(literal -2 binary64) x)
▶	18.5%	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 290 to 156 computations (46.2% saved)

simplify389.0ms (3.2%)

Memory

-4.2MiB live, 680.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
✓	cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	384	(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	1344	(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)))))
✓	cost-diff	0	(fma.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x)
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x) (.f64 x (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
✓	cost-diff	384	(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	384	(fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))

Rules

15 556×	`accelerator-lowering-fma.f32`
15 556×	`accelerator-lowering-fma.f64`
3 206×	`-lowering-.f32`
3 206×	`-lowering-.f64`
2 348×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	253
1	107	249
2	284	214
3	835	209
4	2697	189
5	7456	189
0	8368	180

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize318.0ms (2.6%)

Memory

27.7MiB live, 495.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	98.9%	(/.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))))
✓	accuracy	39.1%	(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)))))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x) (.f64 x (+.f64 x #s(literal -1 binary64))))
✓	accuracy	39.6%	(fma.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	83.7%	(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	70.9%	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.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 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	98.9%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
✓	accuracy	98.2%	(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))

Samples

116.0ms	91×	5	exit
53.0ms	98×	1	valid
35.0ms	39×	3	valid
13.0ms	20×	2	valid
4.0ms	4×	4	valid
1.0ms	4×	0	valid

Compiler

Compiled 274 to 36 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-div: 52.0ms (32.5% of total)

ival-mult: 45.0ms (28.1% of total)

ival-add: 27.0ms (16.9% of total)

adjust: 22.0ms (13.7% of total)

ival-sub: 12.0ms (7.5% of total)

exact: 2.0ms (1.2% of total)

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

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

series32.0ms (0.3%)

Memory

-29.0MiB live, 25.7MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(* (+ x -1) (* x (+ 1 x)))
1.0ms	x	@	-inf	(/ (+ (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) x) (* x (+ x -1)))
1.0ms	x	@	0	(/ (- 2 (/ -2 (+ (* x x) 0))) (* x (+ (* x x) 0)))
1.0ms	x	@	-inf	(+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2))))
1.0ms	x	@	inf	(/ -2 x)

rewrite590.0ms (4.9%)

Memory

43.5MiB live, 945.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 644×	`accelerator-lowering-fma.f32`
5 644×	`accelerator-lowering-fma.f64`
5 114×	`/-lowering-/.f32`
5 114×	`/-lowering-/.f64`
3 486×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	196
1	289	190
2	3099	190
0	9737	169

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 046

Calls

Call 1

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

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

simplify475.0ms (3.9%)

Memory

-2.3MiB live, 841.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 346×	`accelerator-lowering-fma.f32`
13 346×	`accelerator-lowering-fma.f64`
4 018×	`-lowering-.f32`
4 018×	`-lowering-.f64`
2 362×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	1518
1	431	1463
2	1125	1407
3	4279	1389
0	8482	1337

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval257.0ms (2.1%)

Memory: 38.7MiB live, 631.5MiB allocated
Compiler: Compiled 61 648 to 4 305 computations (93% saved)

prune190.0ms (1.6%)

Memory

-23.1MiB live, 555.9MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 824	10	1 834
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 830	12	1 842

Accuracy

100.0%

Counts

1 842 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.3%	(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
▶	99.6%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) x) x)
	99.5%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) x)
	98.2%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))
	98.5%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
	98.7%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (pow.f64 x #s(literal 3 binary64)))
▶	33.3%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))))
▶	99.0%	(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (+.f64 x #s(literal -1 binary64))))
▶	98.9%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))
	98.1%	(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
▶	55.9%	(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	5.2%	(/.f64 #s(literal -2 binary64) x)

Compiler

Compiled 312 to 193 computations (38.1% saved)

simplify543.0ms (4.5%)

Memory

24.5MiB live, 616.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))))
✓	cost-diff	1856	(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
✓	cost-diff	1280	(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	-64	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
✓	cost-diff	320	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) x)
✓	cost-diff	320	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) x) x)

Rules

19 702×	`accelerator-lowering-fma.f32`
19 702×	`accelerator-lowering-fma.f64`
5 544×	`-lowering-.f32`
5 544×	`-lowering-.f64`
1 726×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	211
1	81	211
2	237	191
3	899	179
4	2844	169
5	5655	169
0	8109	164

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize139.0ms (1.2%)

Memory

10.8MiB live, 87.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	98.9%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))))
✓	accuracy	98.2%	(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	45.2%	(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
✓	accuracy	99.8%	(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (+.f64 x #s(literal -1 binary64))))
✓	accuracy	51.2%	(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	98.9%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	98.2%	(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) x)
✓	accuracy	98.2%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))

Samples

94.0ms

256×

valid

Compiler

Compiled 249 to 32 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-sub: 32.0ms (41.6% of total)

ival-div: 17.0ms (22.1% of total)

ival-add: 17.0ms (22.1% of total)

ival-mult: 10.0ms (13% of total)

exact: 1.0ms (1.3% of total)

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

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

series46.0ms (0.4%)

Memory

-32.5MiB live, 7.9MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

60 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(/ (* 2 (/ (+ x -1) (+ (* x x) 0))) (* x (+ x -1)))
0.0ms	x	@	0	(/ (* 2 (/ (+ x -1) (+ (* x x) 0))) (* x (+ x -1)))
0.0ms	x	@	0	(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
0.0ms	x	@	0	(* 2 (/ (+ x -1) (+ (* x x) 0)))
0.0ms	x	@	inf	(/ (/ (/ (+ 2 (/ 2 (+ (* x x) 0))) x) x) x)

rewrite892.0ms (7.4%)

Memory

-19.6MiB live, 342.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 112×	`/-lowering-/.f32`
5 112×	`/-lowering-/.f64`
3 892×	`-lowering-.f32`
3 892×	`-lowering-.f64`
3 816×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	160
1	217	144
2	2043	144
0	8388	133

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 110

Calls

Call 1

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

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

simplify911.0ms (7.6%)

Memory

-4.0MiB live, 500.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 954×	`accelerator-lowering-fma.f32`
16 954×	`accelerator-lowering-fma.f64`
4 178×	`-lowering-.f32`
4 178×	`-lowering-.f64`
2 372×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	1570
1	301	1535
2	776	1511
3	3083	1478
0	8024	1446

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

eval166.0ms (1.4%)

Memory: 50.8MiB live, 351.3MiB allocated
Compiler: Compiled 42 150 to 3 221 computations (92.4% saved)

prune138.0ms (1.2%)

Memory

-43.9MiB live, 324.9MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1 517	9	1 526
Fresh	3	3	6
Picked	5	0	5
Done	0	1	1
Total	1 525	13	1 538

Accuracy

100.0%

Counts

1 538 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
▶	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
▶	99.1%	(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
	98.2%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))
	98.5%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
	46.7%	(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (+.f64 x #s(literal -1 binary64))))
▶	98.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
	32.8%	(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))))
	98.9%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64)))))
	98.1%	(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
▶	55.9%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	5.2%	(/.f64 #s(literal -2 binary64) x)
	91.4%	(.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))

Compiler

Compiled 310 to 199 computations (35.8% saved)

simplify457.0ms (3.8%)

Memory

45.3MiB live, 993.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	320	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	cost-diff	320	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	cost-diff	320	(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
✓	cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 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) (fma.f64 x x x))
✓	cost-diff	512	(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))

Rules

21 500×	`accelerator-lowering-fma.f32`
21 500×	`accelerator-lowering-fma.f64`
3 410×	`-lowering-.f32`
3 410×	`-lowering-.f64`
2 440×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	101
1	42	90
2	103	87
3	192	87
4	379	87
5	749	87
6	1585	87
7	3717	87
8	5894	87
9	7474	87
0	8159	84

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize64.0ms (0.5%)

Memory

-14.6MiB live, 182.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
✓	accuracy	98.2%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))
✓	accuracy	98.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.2%	(/.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	99.9%	(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	98.2%	(/.f64 #s(literal 2 binary64) (fma.f64 x x x))

Samples

39.0ms

256×

valid

Compiler

Compiled 100 to 22 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 14.0ms (54.4% of total)

ival-add: 7.0ms (27.2% of total)

ival-mult: 4.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite367.0ms (3.1%)

Memory

-5.8MiB live, 759.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 346×	`accelerator-lowering-fma.f32`
6 346×	`accelerator-lowering-fma.f64`
4 412×	`/-lowering-/.f32`
4 412×	`/-lowering-/.f64`
3 488×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	87
1	148	76
2	1293	73
0	8712	70

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 197

Calls

Call 1

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

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

simplify398.0ms (3.3%)

Memory

15.8MiB live, 599.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 270×	`accelerator-lowering-fma.f32`
15 270×	`accelerator-lowering-fma.f64`
3 138×	`-lowering-.f32`
3 138×	`-lowering-.f64`
2 486×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1073
1	261	1060
2	710	1031
3	2374	1005
4	6779	1005
0	8514	976

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval141.0ms (1.2%)

Memory: 15.9MiB live, 233.5MiB allocated
Compiler: Compiled 29 779 to 2 645 computations (91.1% saved)

prune130.0ms (1.1%)

Memory

15.0MiB live, 253.3MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 370	7	1 377
Fresh	6	1	7
Picked	2	3	5
Done	0	1	1
Total	1 378	12	1 390

Accuracy

100.0%

Counts

1 390 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
	99.1%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
	99.1%	(/.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
	38.3%	(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) x)
	46.7%	(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (+.f64 x #s(literal -1 binary64))))
	98.9%	(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
	98.9%	(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
✓	55.9%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	5.2%	(/.f64 #s(literal -2 binary64) x)
	92.1%	(*.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)))
	99.7%	(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 628 to 200 computations (68.2% saved)

regimes20.0ms (0.2%)

Memory

-8.3MiB live, 29.5MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
9.0ms	(+.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)

regimes5.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

-33.3MiB live, 4.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

3.2MiB live, 3.2MiB 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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
5.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Memory

11.8MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	22	41

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.6s (12.9%)

Memory

-348.9MiB live, 844.4MiB allocated

Rules

16 954×	`accelerator-lowering-fma.f32`
16 954×	`accelerator-lowering-fma.f64`
13 346×	`accelerator-lowering-fma.f32`
13 346×	`accelerator-lowering-fma.f64`
8 678×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	196
1	289	190
2	3099	190
0	9737	169
0	20	87
1	148	76
2	1293	73
0	8712	70
0	156	1518
1	431	1463
2	1125	1407
3	4279	1389
0	8482	1337
0	123	1570
1	301	1535
2	776	1511
3	3083	1478
0	8024	1446
0	30	160
1	217	144
2	2043	144
0	8388	133
0	102	449
1	268	428
2	699	407
3	2208	394
4	6905	394
0	8101	388
0	10	35
1	87	35
2	1088	35
0	8494	32

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
1×	iter limit
1×	node limit

Compiler

Compiled 164 to 101 computations (38.4% saved)

preprocess47.0ms (0.4%)

Memory: -12.6MiB live, 99.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 180 to 100 computations (44.4% 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

analyze4.0ms (0%)

sample2.0s (16.5%)

preprocess39.0ms (0.3%)

explain180.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.2%)

localize93.0ms (0.8%)

series3.0ms (0%)

rewrite716.0ms (6%)

simplify343.0ms (2.9%)

eval66.0ms (0.5%)

prune276.0ms (2.3%)

simplify389.0ms (3.2%)

localize318.0ms (2.6%)

series32.0ms (0.3%)

rewrite590.0ms (4.9%)

simplify475.0ms (3.9%)

eval257.0ms (2.1%)

prune190.0ms (1.6%)

simplify543.0ms (4.5%)

localize139.0ms (1.2%)

series46.0ms (0.4%)

rewrite892.0ms (7.4%)

simplify911.0ms (7.6%)

eval166.0ms (1.4%)

prune138.0ms (1.2%)

simplify457.0ms (3.8%)

localize64.0ms (0.5%)

series4.0ms (0%)

rewrite367.0ms (3.1%)

simplify398.0ms (3.3%)

eval141.0ms (1.2%)

prune130.0ms (1.1%)

regimes20.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify7.0ms (0.1%)

soundness1.6s (12.9%)

preprocess47.0ms (0.4%)

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