Metrics for 2sqrt (example 3.1)

analyze2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
75%	18.7%	6.2%	75%	0%	0%	0%	3
87.5%	21.9%	3.1%	75%	0%	0%	0%	4
93.8%	23.4%	1.6%	75%	0%	0%	0%	5
96.9%	24.2%	0.8%	75%	0%	0%	0%	6
98.4%	24.6%	0.4%	75%	0%	0%	0%	7
99.2%	24.8%	0.2%	75%	0%	0%	0%	8
99.6%	24.9%	0.1%	75%	0%	0%	0%	9
99.8%	24.9%	0%	75%	0%	0%	0%	10
99.9%	25%	0%	75%	0%	0%	0%	11
100%	25%	0%	75%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (23.5%)

Memory

60.4MiB live, 1 995.1MiB allocated

Samples

1.2s	7 994×	1	valid
16.0ms	262×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 965.0ms

ival-sqrt: 266.0ms (27.6% of total)

ival-add: 235.0ms (24.3% of total)

adjust: 151.0ms (15.6% of total)

const: 141.0ms (14.6% of total)

ival-sub: 89.0ms (9.2% of total)

ival-<: 31.0ms (3.2% of total)

ival->: 29.0ms (3% of total)

ival-and: 13.0ms (1.3% of total)

exact: 7.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess23.0ms (0.3%)

Memory

-11.1MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
46×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain118.0ms (1.7%)

Memory

15.6MiB live, 138.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms	496×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sqrt: 16.0ms (46.3% of total)

adjust: 8.0ms (23.1% of total)

ival-add: 5.0ms (14.5% of total)

ival-sub: 4.0ms (11.6% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify11.0ms (0.2%)

Memory

-23.6MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.5%)

Memory

22.5MiB live, 59.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	7.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Samples

26.0ms	248×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sqrt: 7.0ms (38.3% of total)

adjust: 4.0ms (21.9% of total)

ival-sub: 4.0ms (21.9% of total)

ival-add: 3.0ms (16.4% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>

Outputs
#<alt (- 1 (sqrt x))>
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))>
#<alt (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)>
#<alt (* -1/2 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))>
#<alt (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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)))>

Calls

12 calls:

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

rewrite332.0ms (4.8%)

Memory

-32.5MiB live, 417.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 090×	`lower-fma.f64`
5 090×	`lower-fma.f32`
3 260×	`lower-*.f64`
3 260×	`lower-*.f32`
2 676×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	43	16
2	290	16
3	3385	16
0	8686	16

Stop Event

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

Counts

4 → 357

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (neg.f64 (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (neg.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (neg.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (neg.f64 (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (neg.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 x (sqrt.f64 (fma.f64 x x x))) (.f64 (+.f64 x (sqrt.f64 (fma.f64 x x x))) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (+.f64 x (sqrt.f64 (fma.f64 x x x))) (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x x))) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(fma.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))) (+.f64 x (-.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))) (+.f64 x (-.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
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(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.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 #s(literal 1 binary64) (+.f64 x #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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #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) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.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) (.f64 x x)) (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 (.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 x x) x)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))

simplify404.0ms (5.8%)

Memory

25.0MiB live, 575.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 328×	`lower-fma.f64`
17 328×	`lower-fma.f32`
3 884×	`lower-*.f64`
3 884×	`lower-*.f32`
2 664×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	498
1	299	446
2	801	442
3	2251	434
4	4604	434
0	8173	398

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

Inputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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)))

Outputs
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)
(* -1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) x)
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 5/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.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
(* 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)

simplify61.0ms (0.9%)

Memory

0.8MiB live, 76.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	887	7254
1	888	7254
0	888	7254

Stop Event

1×	saturated
1×	saturated

Counts

357 → 0

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (neg.f64 (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
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(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (*.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.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 #s(literal 1 binary64) (+.f64 x #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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #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) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.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) (.f64 x x)) (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 (.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 x x) x)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (neg.f64 (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (neg.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (neg.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))) (neg.f64 (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
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(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.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 #s(literal 1 binary64) (+.f64 x #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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #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) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.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) (.f64 x x)) (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 (.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 x x) x)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))

eval9.0ms (0.1%)

Memory: 14.2MiB live, 14.2MiB allocated
Compiler: Compiled 1 105 to 98 computations (91.1% saved)

prune31.0ms (0.4%)

Memory

-24.7MiB live, 13.5MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Accuracy

99.8%

Counts

93 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
▶	99.1%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
▶	4.5%	(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
✓	7.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	3.8%	(-.f64 (sqrt.f64 x) (sqrt.f64 x))
▶	1.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
▶	97.6%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 132 to 96 computations (27.3% saved)

simplify198.0ms (2.8%)

Memory

24.6MiB live, 101.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	1472	(-.f64 (sqrt.f64 x) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)

Rules

2 192×	`lower-fma.f32`
2 186×	`lower-fma.f64`
1 064×	`times-frac`
992×	`lower-*.f32`
984×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	145
0	40	129
1	61	129
2	82	129
3	101	129
4	133	129
5	185	129
6	288	129
7	365	129
8	563	129
9	787	129
10	923	129
11	1164	129
12	2080	129
13	4022	129
14	4435	129
15	4531	129
16	4597	129
17	4646	129
18	4812	129
19	5296	129
20	5296	129
0	5296	129

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
#s(literal 1/16 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
#s(literal 1/16 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 x) (sqrt.f64 x))
#s(literal 0 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize191.0ms (2.7%)

Memory

-13.8MiB live, 260.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 x) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	71.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))

Samples

143.0ms

256×

valid

Compiler

Compiled 154 to 26 computations (83.1% saved)

Precisions

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

ival-div: 39.0ms (35.5% of total)

adjust: 23.0ms (20.9% of total)

ival-add: 13.0ms (11.8% of total)

ival-mult: 13.0ms (11.8% of total)

ival-sqrt: 12.0ms (10.9% of total)

ival-sub: 9.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))>
#<alt (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))>
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (sqrt.f64 x) (sqrt.f64 x))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1 binary64) x)>

Outputs
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (* 1/16 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))>
#<alt (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))>
#<alt (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (- 1 (sqrt x))>
#<alt (- 1 (sqrt x))>
#<alt (- 1 (sqrt x))>
#<alt (- 1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (/ 1 x) (sqrt (/ 1 x))))>
#<alt (* x (- (/ 1 x) (sqrt (/ 1 x))))>
#<alt (* x (- (/ 1 x) (sqrt (/ 1 x))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- 1 (sqrt x))>
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))>
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))>
#<alt (- (+ 1 (* 1/2 x)) (sqrt x))>
#<alt (* x (- 1/2 (sqrt (/ 1 x))))>
#<alt (* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))>
#<alt (* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))>
#<alt (* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))>
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (* x (* x x))))) (* (sqrt x) 1/2))) x)
1.0ms	x	@	0	(sqrt (/ 1 (* x (* x x))))
1.0ms	x	@	-inf	(sqrt (/ 1 (* x (* x x))))
0.0ms	x	@	0	(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (* x (* x x))))) (* (sqrt x) 1/2))) x)
0.0ms	x	@	inf	(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (* x (* x x))))) (* (sqrt x) 1/2))) x)

rewrite88.0ms (1.3%)

Memory

11.1MiB live, 131.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

732×	`lower-fma.f32`
726×	`lower-fma.f64`
594×	`lower-*.f32`
586×	`lower-*.f64`
450×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	72
0	40	62
1	152	52
0	1129	51

Stop Event

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

Counts

11 → 152

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (.f64 x (.f64 x x)))))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(pow.f64 x #s(literal -3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)))) (.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))))) (.f64 x (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))))))
(/.f64 (.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
(/.f64 (.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)))) #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))))) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))))) x))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))))) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))))) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)) x)
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))))))
(pow.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x)))) (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (/.f64 (*.f64 x (sqrt.f64 x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x)))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(.f64 (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(literal 0 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))

simplify254.0ms (3.6%)

Memory

1.7MiB live, 396.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 048×	`lower-fma.f64`
7 048×	`lower-fma.f32`
2 922×	`lower-*.f64`
2 922×	`lower-*.f32`
1 532×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	861
1	171	765
2	352	763
3	629	757
4	1931	757
5	3811	757
6	6932	751
0	8089	720

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(- 1 (sqrt x))
(- 1 (sqrt x))
(- 1 (sqrt x))
(- 1 (sqrt x))
(* -1 (sqrt x))
(* x (- (/ 1 x) (sqrt (/ 1 x))))
(* x (- (/ 1 x) (sqrt (/ 1 x))))
(* x (- (/ 1 x) (sqrt (/ 1 x))))
(* (sqrt x) (pow (sqrt -1) 2))
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(* x (- 1/2 (sqrt (/ 1 x))))
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
0
0
0
0
0
0
0
0
0
0
0
0
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

Outputs
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (.f64 x (*.f64 x x)))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/16 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/16 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(* x (- (/ 1 x) (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) #s(literal 1 binary64))
(* x (- (/ 1 x) (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) #s(literal 1 binary64))
(* x (- (/ 1 x) (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) #s(literal 1 binary64))
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) #s(literal 1 binary64))
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) #s(literal 1 binary64))
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))
(- (+ 1 (* 1/2 x)) (sqrt x))
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))
(- (+ 1 (* 1/2 x)) (sqrt x))
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))
(* x (- 1/2 (sqrt (/ 1 x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

simplify29.0ms (0.4%)

Memory

12.1MiB live, 50.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	2266
1	316	2266
0	316	2266

Stop Event

1×	saturated
1×	saturated

Counts

152 → 0

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (.f64 x (.f64 x x)))))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(pow.f64 x #s(literal -3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)))) (.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))))) (.f64 x (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))))))
(/.f64 (.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
(/.f64 (.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)))) #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))))) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))))) x))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))))) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))))) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)) x)
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))))))
(pow.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x)))) (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (/.f64 (*.f64 x (sqrt.f64 x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 x)))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 x)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(.f64 (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(literal 0 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))

eval54.0ms (0.8%)

Memory: -10.9MiB live, 75.5MiB allocated
Compiler: Compiled 4 521 to 60 computations (98.7% saved)

prune7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	404	4	408
Fresh	0	1	1
Picked	3	2	5
Done	0	1	1
Total	407	8	415

Accuracy

99.8%

Counts

415 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
▶	34.8%	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
▶	98.6%	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
✓	99.1%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
▶	4.5%	(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
✓	7.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	97.6%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
▶	3.8%	#s(literal 0 binary64)

Compiler

Compiled 164 to 112 computations (31.7% saved)

simplify196.0ms (2.8%)

Memory

7.6MiB live, 236.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(sqrt.f64 (.f64 x (.f64 x x)))
✓	cost-diff	(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))
✓	cost-diff	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
✓	cost-diff	(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	(sqrt.f64 x)
✓	cost-diff	(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
✓	cost-diff	(sqrt.f64 x)
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Rules

4 720×	`lower-fma.f32`
4 712×	`lower-fma.f64`
1 908×	`div-sub`
1 756×	`lower-*.f32`
1 744×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	185
0	48	167
1	77	167
2	115	167
3	137	167
4	155	167
5	180	167
6	245	167
7	322	167
8	669	167
9	1331	167
10	2674	167
11	6694	167
0	8182	167

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
#s(literal 1 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 0 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sqrt.f64 x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))
(sqrt.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))
(sqrt.f64 x)
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)

Outputs
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
#s(literal 1 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 0 binary64)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sqrt.f64 x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))
(fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x (.f64 x x)))))
(sqrt.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))
(sqrt.f64 x)
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)

localize110.0ms (1.6%)

Memory

8.4MiB live, 166.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))
✓	accuracy	73.7%	(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))
✓	accuracy	70.5%	(sqrt.f64 (.f64 x (.f64 x x)))
✓	accuracy	37.1%	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
✓	accuracy	100.0%	(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	71.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))

Samples

71.0ms

256×

valid

Compiler

Compiled 196 to 31 computations (84.2% saved)

Precisions

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

ival-mult: 31.0ms (56% of total)

ival-div: 11.0ms (19.9% of total)

ival-sqrt: 7.0ms (12.7% of total)

ival-add: 4.0ms (7.2% of total)

ival-sub: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series13.0ms (0.2%)

Memory

-18.9MiB live, 19.0MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (.f64 x (.f64 x x))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))>
#<alt (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))>
#<alt (sqrt.f64 (.f64 x (.f64 x x)))>
#<alt (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))>

Outputs
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 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 (* -1 (sqrt x))>
#<alt (- (* 1/2 x) (sqrt x))>
#<alt (- (* 1/2 x) (sqrt x))>
#<alt (- (* 1/2 x) (sqrt x))>
#<alt (* x (- 1/2 (sqrt (/ 1 x))))>
#<alt (* x (- 1/2 (sqrt (/ 1 x))))>
#<alt (* x (- 1/2 (sqrt (/ 1 x))))>
#<alt (* x (- 1/2 (sqrt (/ 1 x))))>
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* -1/8 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (* -1/8 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)>
#<alt (* 1/2 (sqrt x))>
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* 1/16 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))>
#<alt (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))>
#<alt (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* 1/16 (sqrt x))>
#<alt (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))>
#<alt (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))>
#<alt (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))>
#<alt (* 1/2 (sqrt (pow x 5)))>
#<alt (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))>
#<alt (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))>
#<alt (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* 1/16 (sqrt x))>
#<alt (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))>
#<alt (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))>
#<alt (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))>
#<alt (* -1/8 (sqrt (pow x 3)))>
#<alt (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))))>
#<alt (* 1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x 1/2)
1.0ms	x	@	-inf	(/ (+ (* (sqrt (* x (* x x))) (* x 1/2)) (* (sqrt x) (+ (* x -1/8) 1/16))) (* x (* x x)))
0.0ms	x	@	-inf	(/ (+ (* (sqrt x) 1/2) (* -1/8 (sqrt (/ 1 x)))) x)
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(/ (+ (* (sqrt (* x (* x x))) (* x 1/2)) (* (sqrt x) (+ (* x -1/8) 1/16))) (* x (* x x)))

rewrite335.0ms (4.8%)

Memory

-20.2MiB live, 453.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 968×	`lower-fma.f32`
5 962×	`lower-fma.f64`
5 158×	`lower-*.f32`
5 148×	`lower-*.f64`
3 908×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	110
0	42	96
1	154	84
2	1103	81
0	8345	79

Stop Event

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

Counts

13 → 715

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x x))
(sqrt.f64 x)
(*.f64 x #s(literal 1/2 binary64))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))

Outputs
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
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(.f64 (.f64 (sqrt.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (.f64 x #s(literal 1/128 binary64)))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64))))

simplify373.0ms (5.3%)

Memory

12.0MiB live, 406.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 036×	`lower-fma.f64`
14 036×	`lower-fma.f32`
6 122×	`lower-*.f64`
6 122×	`lower-*.f32`
1 770×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	1500
1	259	1314
2	893	1304
3	2647	1304
4	5013	1304
0	8287	1247

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 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)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 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)
(* -1 (sqrt x))
(- (* 1/2 x) (sqrt x))
(- (* 1/2 x) (sqrt x))
(- (* 1/2 x) (sqrt x))
(* x (- 1/2 (sqrt (/ 1 x))))
(* x (- 1/2 (sqrt (/ 1 x))))
(* x (- 1/2 (sqrt (/ 1 x))))
(* x (- 1/2 (sqrt (/ 1 x))))
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* 1/16 (sqrt x))
(+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))
(+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
(+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
(* 1/2 (sqrt (pow x 5)))
(* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* 1/16 (sqrt x))
(+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))
(+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))
(+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))
(* -1/8 (sqrt (pow x 3)))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))))
(* 1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))

Outputs
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 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))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(- (* 1/2 x) (sqrt x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(- (* 1/2 x) (sqrt x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(- (* 1/2 x) (sqrt x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(* x (- 1/2 (sqrt (/ 1 x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (- 1/2 (sqrt (/ 1 x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (- 1/2 (sqrt (/ 1 x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (- 1/2 (sqrt (/ 1 x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/8 binary64))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(* -1/8 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) x)
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) x)
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) x)
(* 1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (*.f64 x x)))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))) x))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(* 1/16 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/16 binary64))
(+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))
(+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))
(* 1/2 (sqrt (pow x 5)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(.f64 x (.f64 x (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)))))
(* 1/16 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/16 binary64))
(+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(* -1/8 (sqrt (pow x 3)))
(.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x))))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))))
(.f64 (.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))))
(.f64 (.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))))
(.f64 (.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))))
(* 1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 x (*.f64 x x))))
(* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))))
(* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))))
(* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))))

simplify156.0ms (2.2%)

Memory

1.0MiB live, 232.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1539	20372
1	1540	20372
0	1540	20372

Stop Event

1×	saturated
1×	saturated

Counts

715 → 0

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (*.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/4 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (neg.f64 x)))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x (sqrt.f64 x))) (neg.f64 (*.f64 x (sqrt.f64 x)))))
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(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x (*.f64 x (sqrt.f64 x))) #s(literal -1/2 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) (.f64 (neg.f64 x) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/16 binary64)))))))
(.f64 (-.f64 (.f64 x (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x (*.f64 x (sqrt.f64 x))) #s(literal -1/2 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)) (.f64 x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))) (/.f64 (.f64 x #s(literal 1/256 binary64)) (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))))
(fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (.f64 x #s(literal -1/8 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 (.f64 x (sqrt.f64 x)) #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(fma.f64 (.f64 x #s(literal -1/8 binary64)) (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) x (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))))) (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (.f64 x #s(literal 1/256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (.f64 x #s(literal 1/128 binary64))) (.f64 (sqrt.f64 x) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64)) (.f64 (sqrt.f64 x) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (.f64 x #s(literal 1/128 binary64))) (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)) (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64))))))
(/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (.f64 x #s(literal 1/256 binary64))) (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x))))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal 1/128 binary64))))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)) (sqrt.f64 x)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal 1/128 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)) (sqrt.f64 x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64)))) (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (.f64 x #s(literal 1/256 binary64)))) (neg.f64 (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal 1/128 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/16 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)) (sqrt.f64 x))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal 1/128 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)) (sqrt.f64 x))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/16 binary64)))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)))) (fma.f64 x #s(literal 1/256 binary64) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)) (.f64 x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64)))) (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)) (.f64 x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))
(*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x))
(.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))))))
(.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (.f64 x #s(literal 1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (.f64 x #s(literal 1/128 binary64)))))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (.f64 x #s(literal 1/128 binary64)))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64))))

Outputs
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (*.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/4 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (neg.f64 x)))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x (sqrt.f64 x))) (neg.f64 (*.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 x (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (neg.f64 x)))
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(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x (*.f64 x (sqrt.f64 x))) #s(literal -1/2 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) (.f64 (neg.f64 x) (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/16 binary64)))))))
(.f64 (-.f64 (.f64 x (.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x (*.f64 x (sqrt.f64 x))) #s(literal -1/2 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)) (.f64 x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))) (/.f64 (.f64 x #s(literal 1/256 binary64)) (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))))
(fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (.f64 x #s(literal -1/8 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 (.f64 x (sqrt.f64 x)) #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(fma.f64 (.f64 x #s(literal -1/8 binary64)) (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) x (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))))) (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (.f64 x #s(literal 1/256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (.f64 x #s(literal 1/128 binary64))) (.f64 (sqrt.f64 x) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64)) (.f64 (sqrt.f64 x) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (.f64 x #s(literal 1/128 binary64))) (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)) (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64))))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64))))))
(/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (.f64 x #s(literal 1/256 binary64))) (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x))))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal 1/128 binary64))))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)) (sqrt.f64 x)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal 1/128 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)) (sqrt.f64 x)) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64)))) (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (.f64 x #s(literal 1/256 binary64)))) (neg.f64 (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal 1/128 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/16 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)) (sqrt.f64 x))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (*.f64 x #s(literal 1/128 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)) (sqrt.f64 x))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/16 binary64)))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)))) (fma.f64 x #s(literal 1/256 binary64) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)) (.f64 x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64)))) (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)) (.f64 x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))
(*.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x))
(.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))))))
(.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/64 binary64))) (.f64 x #s(literal 1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (.f64 x #s(literal 1/128 binary64)))))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64) #s(literal 1/4096 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) #s(literal 1/256 binary64)) (.f64 x #s(literal 1/128 binary64)))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal -1/256 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/16 binary64))))

eval45.0ms (0.7%)

Memory: 0.6MiB live, 76.8MiB allocated
Compiler: Compiled 7 811 to 100 computations (98.7% saved)

prune9.0ms (0.1%)

Memory

-21.4MiB live, 17.8MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	453	3	456
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	453	11	464

Accuracy

99.8%

Counts

464 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	34.8%	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
▶	33.2%	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (.f64 x x)))
✓	98.6%	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
▶	34.7%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
✓	99.1%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
▶	97.4%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
✓	4.5%	(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
✓	7.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	97.6%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	3.8%	#s(literal 0 binary64)

Compiler

Compiled 146 to 96 computations (34.2% saved)

simplify7.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(sqrt.f64 (.f64 x (.f64 x x)))
✓	cost-diff	(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
✓	cost-diff	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (.f64 x x)))
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(sqrt.f64 (.f64 x (.f64 x x)))
✓	cost-diff	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)))
✓	cost-diff	(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
✓	cost-diff	(sqrt.f64 x)
✓	cost-diff	(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
✓	cost-diff	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)

Rules

50×	`lower-*.f32`
38×	`lower-*.f64`
24×	`lower-/.f32`
24×	`lower-fma.f32`
20×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	125
0	32	107
1	51	107
2	63	107
3	64	107
0	64	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)))
#s(literal 1/2 binary64)
(sqrt.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))
(sqrt.f64 x)
#s(literal -1/8 binary64)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(sqrt.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 x) #s(literal 1/16 binary64))
(sqrt.f64 x)
#s(literal 1/16 binary64)

Outputs
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)))
#s(literal 1/2 binary64)
(sqrt.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))
(sqrt.f64 x)
#s(literal -1/8 binary64)
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))) (.f64 x (.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 x) #s(literal 1/16 binary64))
(sqrt.f64 x)
#s(literal 1/16 binary64)

localize61.0ms (0.9%)

Memory

14.5MiB live, 91.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
✓	accuracy	70.5%	(sqrt.f64 (.f64 x (.f64 x x)))
✓	accuracy	37.1%	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	70.5%	(sqrt.f64 (.f64 x (.f64 x x)))
✓	accuracy	52.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)

Samples

36.0ms

256×

valid

Compiler

Compiled 131 to 21 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (50.4% of total)

ival-div: 5.0ms (22.9% of total)

ival-sqrt: 4.0ms (18.3% of total)

ival-add: 2.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)>
#<alt (sqrt.f64 x)>
#<alt (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))>
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))>
#<alt (sqrt.f64 (.f64 x (.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)))>
#<alt (/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (.f64 x x)))>
#<alt (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))>

Outputs
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* 1/2 (sqrt x))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/8 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* -1/8 (sqrt x))>
#<alt (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))>
#<alt (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))>
#<alt (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))>
#<alt (* 1/2 (sqrt (pow x 3)))>
#<alt (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* 1/16 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))>
#<alt (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))>
#<alt (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* 1/16 (sqrt x))>
#<alt (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5))))>
#<alt (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5))))>
#<alt (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5))))>
#<alt (* 1/2 (sqrt (pow x 5)))>
#<alt (* (pow x 3) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* (pow x 3) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* (pow x 3) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ (* (sqrt (* x (* x x))) (* x 1/2)) (* (sqrt x) 1/16)) (* x (* x x)))
0.0ms	x	@	inf	(/ (+ (* (sqrt (* x (* x x))) (* x 1/2)) (* (sqrt x) 1/16)) (* x (* x x)))
0.0ms	x	@	0	(/ (+ (* (sqrt (* x (* x x))) (* x 1/2)) (* (sqrt x) 1/16)) (* x (* x x)))
0.0ms	x	@	-inf	(/ (* (sqrt x) 1/2) x)
0.0ms	x	@	inf	(/ (+ (* 1/2 (sqrt (* x (* x x)))) (* (sqrt x) -1/8)) (* x x))

rewrite358.0ms (5.1%)

Memory

7.2MiB live, 403.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 458×	`lower-fma.f32`
8 454×	`lower-fma.f64`
5 868×	`lower-*.f32`
5 856×	`lower-*.f64`
3 148×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	85
0	32	71
1	103	66
2	672	61
3	7290	61
0	8016	57

Stop Event

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

Counts

9 → 604

Calls

Call 1

Inputs
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(sqrt.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))))
(/.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) x))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (neg.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (/.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))))
(+.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (.f64 x (neg.f64 x))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 x) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (.f64 x x)) (/.f64 (/.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (sqrt.f64 x) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (/.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (*.f64 x (neg.f64 x))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x (.f64 x (.f64 (sqrt.f64 x) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))) (/.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 x (.f64 x (.f64 (sqrt.f64 x) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))))
(neg.f64 (/.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (.f64 x (neg.f64 x))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (*.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))))))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (.f64 x x))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))))) (.f64 (/.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))) (/.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))) (/.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (sqrt.f64 x))) #s(literal 1/68719476736 binary64) (pow.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x)))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16777216 binary64))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 x #s(literal 1/256 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16777216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 #s(literal -1/4096 binary64) (*.f64 x (sqrt.f64 x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16777216 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (.f64 (.f64 x #s(literal 1/256 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x #s(literal 1/256 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/65536 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal 1/256 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64)))) #s(literal -1 binary64))
(.f64 (sqrt.f64 x) (+.f64 #s(literal 1/16 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64)))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))) (/.f64 (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))) (.f64 (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (*.f64 x #s(literal 1/256 binary64)))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))) (/.f64 (.f64 (sqrt.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (*.f64 x #s(literal 1/256 binary64)))))
(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))) (.f64 (.f64 (sqrt.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 x) (-.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x #s(literal -1/256 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64)))) (.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64)) (.f64 (fma.f64 x #s(literal 1/256 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))) (.f64 (fma.f64 x #s(literal 1/256 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))) (fma.f64 x #s(literal 1/256 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))))))) (fma.f64 (fma.f64 x #s(literal 1/256 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))) (-.f64 (fma.f64 x #s(literal 1/256 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))) (+.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))))) (+.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 #s(literal -1/4096 binary64) (.f64 x (sqrt.f64 x))))) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/256 binary64) (.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))))

simplify257.0ms (3.7%)

Memory

-18.6MiB live, 293.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 410×	`lower-fma.f64`
7 410×	`lower-fma.f32`
4 048×	`lower-*.f64`
4 048×	`lower-*.f32`
1 432×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1027
1	146	872
2	465	868
3	1524	868
4	2755	868
5	3714	868
6	5007	868
7	6153	868
0	8148	832

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* 1/2 (sqrt x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 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)
(* -1/8 (sqrt x))
(+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))
(+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))
(+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))
(* 1/2 (sqrt (pow x 3)))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))
(* 1/2 (sqrt (/ 1 x)))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* 1/16 (sqrt x))
(+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5))))
(+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5))))
(+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5))))
(* 1/2 (sqrt (pow x 5)))
(* (pow x 3) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(* (pow x 3) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(* (pow x 3) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))
(* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))
(* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))

Outputs
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (.f64 x (.f64 x x))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* -1/8 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))
(+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)))
(+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)))
(+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64)))
(* 1/2 (sqrt (pow x 3)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (*.f64 x x))))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 x (*.f64 x x))))
(* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 x (.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
(* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 x (.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
(* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 x (.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (*.f64 x x)))
(/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (*.f64 x x)))
(/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (*.f64 x x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(+ (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(* 1/16 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/16 binary64))
(+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)))
(* 1/2 (sqrt (pow x 5)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(* (pow x 3) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* (pow x 3) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* (pow x 3) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))

simplify133.0ms (1.9%)

Memory

-2.3MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1289	18036
1	1290	18036
0	1290	18036

Stop Event

1×	saturated
1×	saturated

Counts

604 → 0

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))))
(/.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))) (+.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))))) (+.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 #s(literal -1/4096 binary64) (.f64 x (sqrt.f64 x))))) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/256 binary64) (.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))))
(/.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) x))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (neg.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (/.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))))
(+.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (.f64 x (neg.f64 x))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 x) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (.f64 x x)) (/.f64 (/.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (sqrt.f64 x) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (/.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (*.f64 x (neg.f64 x))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x (.f64 x (.f64 (sqrt.f64 x) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))) (/.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 x (.f64 x (.f64 (sqrt.f64 x) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))))
(neg.f64 (/.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (.f64 x (neg.f64 x))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (*.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))))))
(/.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64)))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal -1/512 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x #s(literal 1/64 binary64))))))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal -1/512 binary64))) (.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 x #s(literal 1/64 binary64))))) (*.f64 x (neg.f64 x))))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal -1/512 binary64))) (.f64 (.f64 x (neg.f64 x)) (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x #s(literal 1/64 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 x #s(literal 1/64 binary64)))) (/.f64 (fma.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal -1/512 binary64))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 x) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/64 binary64))) (.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64)))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/64 binary64))) (.f64 x (.f64 x (.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/64 binary64))) (.f64 (neg.f64 (.f64 (sqrt.f64 x) (-.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (*.f64 x (neg.f64 x))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/64 binary64))) (.f64 (.f64 x (neg.f64 x)) (neg.f64 (.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))) x) x)
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/8 binary64)))) (*.f64 x (neg.f64 x))))
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(.f64 (.f64 (sqrt.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))) (/.f64 (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))) (.f64 (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (*.f64 x #s(literal 1/256 binary64)))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))) (/.f64 (.f64 (sqrt.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (*.f64 x #s(literal 1/256 binary64)))))
(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))) (.f64 (.f64 (sqrt.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 x) (-.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1/16 binary64)))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x #s(literal -1/256 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/256 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64)))) (.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64)) (.f64 (fma.f64 x #s(literal 1/256 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))) (.f64 (fma.f64 x #s(literal 1/256 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))) (fma.f64 x #s(literal 1/256 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))))))) (fma.f64 (fma.f64 x #s(literal 1/256 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))) (-.f64 (fma.f64 x #s(literal 1/256 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 1/16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/4096 binary64))) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x #s(literal 1/256 binary64))) (+.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))))) (+.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x #s(literal -1/256 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 #s(literal -1/4096 binary64) (.f64 x (sqrt.f64 x))))) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/256 binary64) (.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))))

eval27.0ms (0.4%)

Memory: 8.8MiB live, 45.2MiB allocated
Compiler: Compiled 5 081 to 65 computations (98.7% saved)

prune10.0ms (0.1%)

Memory

18.4MiB live, 18.5MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	335	12	347

Accuracy

99.8%

Counts

347 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	34.8%	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
✓	33.2%	(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (.f64 x x)))
✓	98.6%	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
✓	34.7%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
✓	99.1%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
✓	97.4%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
	33.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x)))) (.f64 x x))
✓	4.5%	(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
✓	7.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	97.6%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	3.8%	#s(literal 0 binary64)

Compiler

Compiled 323 to 148 computations (54.2% saved)

regimes11.0ms (0.2%)

Memory

-23.7MiB live, 14.8MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)

Outputs

(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/16 binary64))) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/16 binary64)))) (.f64 x (.f64 x x)))

Outputs
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x))

Outputs
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.1%)

Memory

-32.3MiB live, 11.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
4.5%	1	`x`
4.5%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Accuracy

Total -1.4b remaining (-2.3%)

Threshold costs -1.4b (-2.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))

Outputs
#s(literal 0 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.8%	1	`x`
3.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify6.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	63
1	33	63
2	37	63
3	39	63
4	40	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
#s(literal 0 binary64)

Outputs
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
#s(literal 0 binary64)

soundness998.0ms (14.3%)

Memory

12.2MiB live, 434.9MiB allocated

Rules

17 328×	`lower-fma.f64`
17 328×	`lower-fma.f32`
7 048×	`lower-fma.f64`
7 048×	`lower-fma.f32`
3 884×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	861
1	171	765
2	352	763
3	629	757
4	1931	757
5	3811	757
6	6932	751
0	8089	720
0	113	498
1	299	446
2	801	442
3	2251	434
4	4604	434
0	8173	398

Stop Event

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

Compiler

Compiled 170 to 100 computations (41.2% saved)

preprocess335.0ms (4.8%)

Memory: -341.1MiB live, 153.9MiB allocated
Compiler: Compiled 176 to 84 computations (52.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

analyze2.0ms (0%)

sample1.6s (23.5%)

preprocess23.0ms (0.3%)

explain118.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize36.0ms (0.5%)

series5.0ms (0.1%)

rewrite332.0ms (4.8%)

simplify404.0ms (5.8%)

simplify61.0ms (0.9%)

eval9.0ms (0.1%)

prune31.0ms (0.4%)

simplify198.0ms (2.8%)

localize191.0ms (2.7%)

series7.0ms (0.1%)

rewrite88.0ms (1.3%)

simplify254.0ms (3.6%)

simplify29.0ms (0.4%)

eval54.0ms (0.8%)

prune7.0ms (0.1%)

simplify196.0ms (2.8%)

localize110.0ms (1.6%)

series13.0ms (0.2%)

rewrite335.0ms (4.8%)

simplify373.0ms (5.3%)

simplify156.0ms (2.2%)

eval45.0ms (0.7%)

prune9.0ms (0.1%)

simplify7.0ms (0.1%)

localize61.0ms (0.9%)

series5.0ms (0.1%)

rewrite358.0ms (5.1%)

simplify257.0ms (3.7%)

simplify133.0ms (1.9%)

eval27.0ms (0.4%)

prune10.0ms (0.1%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

simplify6.0ms (0.1%)

soundness998.0ms (14.3%)

preprocess335.0ms (4.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18