Metrics for 3frac (problem 3.3.3)

analyze14.0ms (0.1%)

Memory

-32.5MiB live, 6.3MiB 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

74.3MiB live, 3 095.3MiB allocated

Samples

1.3s	7 142×	1	valid
193.0ms	780×	2	valid
21.0ms	334×	0	valid

Precisions

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

ival-div: 485.0ms (40% of total)

ival-add: 255.0ms (21% of total)

adjust: 155.0ms (12.8% of total)

ival-sub: 153.0ms (12.6% of total)

ival-fabs: 75.0ms (6.2% of total)

ival->: 66.0ms (5.4% of total)

exact: 17.0ms (1.4% of total)

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

Bogosity

preprocess49.0ms (0.4%)

Memory

6.8MiB live, 86.1MiB 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)

explain266.0ms (2.2%)

Memory

-30.8MiB live, 418.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
87	-	-	`(+.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	87	0

Confusion

	Predicted +	Predicted -
+	87	0
-	0	169

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	87	0	0
-	0	0	169

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	169
1	87

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms	452×	1	valid
8.0ms	36×	2	valid
2.0ms	24×	0	valid

Compiler

Compiled 128 to 44 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 20.0ms (36.4% of total)

ival-sub: 12.0ms (21.9% of total)

ival-add: 11.0ms (20% of total)

adjust: 10.0ms (18.2% of total)

exact: 1.0ms (1.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.7%	(+.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)

simplify21.0ms (0.2%)

Memory

30.7MiB live, 30.7MiB 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))

localize69.0ms (0.6%)

Memory

-7.9MiB live, 111.4MiB 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	69.8%	(+.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

34.0ms	226×	1	valid
18.0ms	18×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

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

ival-div: 10.0ms (37.8% of total)

ival-add: 6.0ms (22.7% of total)

ival-sub: 5.0ms (18.9% of total)

adjust: 4.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite457.0ms (3.8%)

Memory

-25.7MiB live, 756.5MiB 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))))

simplify322.0ms (2.7%)

Memory

-21.6MiB live, 544.0MiB 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))

eval96.0ms (0.8%)

Memory: 13.4MiB live, 164.9MiB allocated
Compiler: Compiled 17 138 to 1 687 computations (90.2% saved)

prune98.0ms (0.8%)

Memory

-14.8MiB live, 159.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	495	6	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	496	6	502

Accuracy

99.1%

Counts

502 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.7%	(/.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))))
	20.9%	(/.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))))
▶	98.5%	(/.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))))
▶	98.0%	(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
▶	5.2%	(/.f64 #s(literal -2 binary64) x)
▶	21.8%	(+.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 200 to 106 computations (47% saved)

simplify515.0ms (4.3%)

Memory

10.9MiB live, 794.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

16 712×	`accelerator-lowering-fma.f32`
16 712×	`accelerator-lowering-fma.f64`
3 990×	`-lowering-.f32`
3 990×	`-lowering-.f64`
2 040×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	196
1	94	188
2	204	162
3	537	160
4	1627	160
5	5806	160
0	8168	154

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

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

localize229.0ms (1.9%)

Memory

-3.0MiB live, 560.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	7.0%	(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)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	69.8%	(+.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	53.8%	(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal 0 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	99.1%	(/.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	98.5%	(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))

Samples

102.0ms	136×	2	valid
58.0ms	117×	1	valid
11.0ms	3×	0	valid

Compiler

Compiled 202 to 32 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 49.0ms (38.2% of total)

ival-div: 37.0ms (28.9% of total)

adjust: 17.0ms (13.3% of total)

ival-add: 16.0ms (12.5% of total)

ival-sub: 8.0ms (6.2% of total)

exact: 1.0ms (0.8% of total)

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

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

series11.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

17 → 204

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

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

Calls

51 calls:

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

rewrite479.0ms (4%)

Memory

6.5MiB live, 794.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 646×	`/-lowering-/.f32`
4 646×	`/-lowering-/.f64`
4 600×	`accelerator-lowering-fma.f32`
4 600×	`accelerator-lowering-fma.f64`
3 046×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	147
1	254	141
2	2761	141
0	8732	127

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 737

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 (* x (+ (* x x) 0)))
(* x (+ (* x x) 0))
(+ (* -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)
(* x (+ x -1))

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

simplify506.0ms (4.2%)

Memory

-12.5MiB live, 742.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 742×	`accelerator-lowering-fma.f32`
15 742×	`accelerator-lowering-fma.f64`
4 074×	`-lowering-.f32`
4 074×	`-lowering-.f64`
2 478×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1250
1	377	1219
2	945	1183
3	3514	1159
0	8524	1123

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval150.0ms (1.2%)

Memory: -1.1MiB live, 355.8MiB allocated
Compiler: Compiled 35 170 to 3 057 computations (91.3% saved)

prune155.0ms (1.3%)

Memory

32.4MiB live, 312.1MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1 224	15	1 239
Fresh	0	1	1
Picked	4	1	5
Done	0	0	0
Total	1 228	17	1 245

Accuracy

100.0%

Counts

1 245 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
▶	69.7%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))
	69.9%	(/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) x x)) x) (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
	19.8%	(/.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 (fma.f64 x x #s(literal -1 binary64))))
	34.5%	(/.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)))
▶	20.9%	(/.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))))
	98.8%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
	98.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
	98.5%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (.f64 x x)))
	98.0%	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
▶	53.5%	(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
	98.0%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
▶	98.8%	(/.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)))
✓	5.2%	(/.f64 #s(literal -2 binary64) x)
	21.8%	(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	98.7%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))

Compiler

Compiled 466 to 279 computations (40.1% saved)

simplify475.0ms (4%)

Memory

-29.9MiB live, 699.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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	(-.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x)
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	640	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
✓	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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	320	(/.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))
✓	cost-diff	704	(/.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)))

Rules

12 614×	`accelerator-lowering-fma.f32`
12 614×	`accelerator-lowering-fma.f64`
2 818×	`-lowering-.f32`
2 818×	`-lowering-.f64`
2 140×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	226
1	91	224
2	265	222
3	815	208
4	2361	188
5	6329	188
0	8219	183

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize263.0ms (2.2%)

Memory

6.6MiB live, 497.3MiB allocated

Localize:

Found 19 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	99.1%	(/.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	5.4%	(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 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	accuracy	7.0%	(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
✓	accuracy	98.6%	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	98.5%	(/.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	99.8%	(/.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))
✓	accuracy	99.4%	(/.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)))
✓	accuracy	98.5%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))

Samples

107.0ms	118×	2	valid
93.0ms	135×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 259 to 35 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 84.0ms (51.8% of total)

ival-div: 40.0ms (24.6% of total)

adjust: 16.0ms (9.9% of total)

ival-add: 15.0ms (9.2% of total)

ival-sub: 5.0ms (3.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series14.0ms (0.1%)

Memory

-8.6MiB live, 29.1MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ (* x x) 0) (/ (+ 2 (/ 2 (+ (* x x) 0))) x)))>
#<alt (/ (+ (* x x) 0) (/ (+ 2 (/ 2 (+ (* x x) 0))) x))>
#<alt (+ (* x x) 0)>
#<alt (/ (+ 2 (/ 2 (+ (* x x) 0))) x)>
#<alt (/ 2 (* x (+ x -1)))>
#<alt (+ x -1)>
#<alt (* x (+ x -1))>
#<alt (* (/ 2 x) (/ 1 (+ (* x x) 0)))>
#<alt (/ 2 x)>
#<alt (/ 1 (+ (* x x) 0))>
#<alt (/ (+ (* (/ (- -2 x) (+ 1 x)) (+ x -1)) x) (* x (+ x -1)))>
#<alt (+ (* (/ (- -2 x) (+ 1 x)) (+ x -1)) x)>
#<alt (/ (- -2 x) (+ 1 x))>
#<alt (- -2 x)>
#<alt (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2))))>
#<alt (- x (* (+ 1 x) 2))>
#<alt (* x (+ 1 x))>
#<alt (* (+ x -1) (- x (* (+ 1 x) 2)))>
#<alt (/ 2 (+ (* x x) 0))>
#<alt (+ 1 x)>
#<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 (* 1/2 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2 (* -1/2 (pow x 2))))>
#<alt (* (pow x 5) (+ 1/2 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2))))>
#<alt (* (pow x 5) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1/2 (/ 1/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1/2 (/ 1/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (+ 1/2 (/ 1/2 (pow x 4))))))>
#<alt (* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/2 (pow x 4))))))>
#<alt (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 (* 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 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 (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt 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 (- x 2)>
#<alt (- (* x (+ 1 (* -1 x))) 2)>
#<alt (- (* x (+ 1 (* x (- x 1)))) 2)>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (/ 1 (pow x 2)) (+ 1 (/ 1 x)))>
#<alt (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3)))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1)>
#<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>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt -2>
#<alt (- (* -1 x) 2)>
#<alt (- (* -1 x) 2)>
#<alt (- (* -1 x) 2)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt 2>
#<alt (+ 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 (/ 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 (/ -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

66 calls:

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

rewrite1.1s (9.1%)

Memory

4.4MiB live, 632.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 714×	`-lowering-.f32`
4 714×	`-lowering-.f64`
4 346×	`/-lowering-/.f32`
4 346×	`/-lowering-/.f64`
3 328×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	196
1	253	186
2	2375	186
0	8244	170

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 872

Calls

Call 1

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

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

simplify579.0ms (4.8%)

Memory

58.1MiB live, 699.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 516×	`accelerator-lowering-fma.f32`
10 516×	`accelerator-lowering-fma.f64`
4 658×	`-lowering-.f32`
4 658×	`-lowering-.f64`
2 454×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1707
1	577	1662
2	1617	1591
3	6417	1586
0	8077	1531

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

eval219.0ms (1.8%)

Memory: -22.7MiB live, 457.2MiB allocated
Compiler: Compiled 51 303 to 3 974 computations (92.3% saved)

prune155.0ms (1.3%)

Memory

4.0MiB live, 491.5MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 569	6	1 575
Fresh	6	5	11
Picked	5	0	5
Done	0	1	1
Total	1 580	12	1 592

Accuracy

100.0%

Counts

1 592 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
▶	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
	98.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
	98.0%	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
▶	99.0%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))
	98.0%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
▶	53.5%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))))
▶	98.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
✓	5.2%	(/.f64 #s(literal -2 binary64) x)
	98.8%	(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -2 binary64)))
	98.7%	(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))

Compiler

Compiled 198 to 139 computations (29.8% saved)

simplify340.0ms (2.8%)

Memory

-10.1MiB live, 658.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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	-64	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	-64	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	-64	(.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/2 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	(/.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)))

Rules

13 456×	`accelerator-lowering-fma.f32`
13 456×	`accelerator-lowering-fma.f64`
2 856×	`-lowering-.f32`
2 856×	`-lowering-.f64`
2 458×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	111
1	47	103
2	116	97
3	272	97
4	542	97
5	929	89
6	1404	89
7	3720	89
8	5632	89
0	8273	88

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize68.0ms (0.6%)

Memory

24.0MiB live, 142.6MiB allocated

Localize:

Found 16 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	98.5%	(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.5%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	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	99.1%	(/.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))

Samples

41.0ms

256×

valid

Compiler

Compiled 112 to 25 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 12.0ms (48.4% of total)

ival-mult: 8.0ms (32.3% of total)

ival-add: 4.0ms (16.1% of total)

exact: 1.0ms (4% of total)

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

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

series8.0ms (0.1%)

Memory

-19.1MiB live, 19.0MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ 2 (* (+ x -1) (* x (+ 1 x))))
2.0ms	x	@	-inf	(+ 1 x)
0.0ms	x	@	inf	(* x (* x (* x 1/2)))
0.0ms	x	@	-inf	(* x (* x (* x 1/2)))
0.0ms	x	@	0	(* x 1/2)

rewrite975.0ms (8.1%)

Memory

33.6MiB live, 771.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 458×	`accelerator-lowering-fma.f32`
10 458×	`accelerator-lowering-fma.f64`
4 402×	`/-lowering-/.f32`
4 402×	`/-lowering-/.f64`
4 394×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	97
1	128	83
2	904	79
0	8624	76

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 3 055

Calls

Call 1

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

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

simplify508.0ms (4.2%)

Memory

-3.5MiB live, 454.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 400×	`accelerator-lowering-fma.f32`
13 400×	`accelerator-lowering-fma.f64`
4 222×	`-lowering-.f32`
4 222×	`-lowering-.f64`
2 138×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	971
1	174	956
2	480	944
3	2088	933
4	5582	933
0	8723	921

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval407.0ms (3.4%)

Memory: 32.0MiB live, 709.1MiB allocated
Compiler: Compiled 86 166 to 5 330 computations (93.8% saved)

prune332.0ms (2.8%)

Memory

-14.4MiB live, 635.6MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	3 253	6	3 259
Fresh	2	4	6
Picked	2	3	5
Done	0	1	1
Total	3 257	14	3 271

Accuracy

100.0%

Counts

3 271 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
	98.8%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
	98.0%	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
	98.0%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	53.5%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))))
✓	98.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
✓	5.2%	(/.f64 #s(literal -2 binary64) x)
	91.1%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
	98.7%	(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	83.5%	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x) x)

Compiler

Compiled 551 to 195 computations (64.6% saved)

regimes19.0ms (0.2%)

Memory

1.6MiB live, 38.7MiB allocated

Counts

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

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

Calls

2 calls:

11.0ms	x
7.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes5.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes5.0ms (0%)

Memory

-29.7MiB live, 9.5MiB 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

2 calls:

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

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	16	31

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (8.7%)

Memory

-43.6MiB live, 942.1MiB allocated

Rules

15 742×	`accelerator-lowering-fma.f32`
15 742×	`accelerator-lowering-fma.f64`
10 516×	`accelerator-lowering-fma.f32`
10 516×	`accelerator-lowering-fma.f64`
10 458×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1250
1	377	1219
2	945	1183
3	3514	1159
0	8524	1123
0	30	147
1	254	141
2	2761	141
0	8732	127
0	206	1707
1	577	1662
2	1617	1591
3	6417	1586
0	8077	1531
0	102	449
1	268	428
2	699	407
3	2208	394
4	6905	394
0	8101	388
0	23	97
1	128	83
2	904	79
0	8624	76
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

Compiler

Compiled 112 to 71 computations (36.6% saved)

preprocess61.0ms (0.5%)

Memory: 11.0MiB live, 165.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 152 to 86 computations (43.4% 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

analyze14.0ms (0.1%)

sample2.0s (16.5%)

preprocess49.0ms (0.4%)

explain266.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.2%)

localize69.0ms (0.6%)

series3.0ms (0%)

rewrite457.0ms (3.8%)

simplify322.0ms (2.7%)

eval96.0ms (0.8%)

prune98.0ms (0.8%)

simplify515.0ms (4.3%)

localize229.0ms (1.9%)

series11.0ms (0.1%)

rewrite479.0ms (4%)

simplify506.0ms (4.2%)

eval150.0ms (1.2%)

prune155.0ms (1.3%)

simplify475.0ms (4%)

localize263.0ms (2.2%)

series14.0ms (0.1%)

rewrite1.1s (9.1%)

simplify579.0ms (4.8%)

eval219.0ms (1.8%)

prune155.0ms (1.3%)

simplify340.0ms (2.8%)

localize68.0ms (0.6%)

series8.0ms (0.1%)

rewrite975.0ms (8.1%)

simplify508.0ms (4.2%)

eval407.0ms (3.4%)

prune332.0ms (2.8%)

regimes19.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness1.0s (8.7%)

preprocess61.0ms (0.5%)

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