Metrics for Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

const: 0.0ms (0% of total)

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

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

sample570.0ms (15.6%)

Results

388.0ms	8256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-mult: 85.0ms (36.5% of total)

ival-sqrt: 83.0ms (35.7% of total)

ival-sub: 51.0ms (21.9% of total)

const: 11.0ms (4.7% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess230.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

617×	`sub-neg`
594×	`fma-define`
569×	`distribute-lft-out`
429×	`associate-+r+`
399×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	36	96
2	56	96
3	102	96
4	149	96
5	234	96
6	367	96
7	641	96
8	1242	96
9	2110	96
10	4771	96
11	6482	96
12	7255	96
13	7553	96
14	7609	96
15	7641	96
16	7906	96

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))

Symmetry

(abs x)

explain87.0ms (2.4%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
-	-	`(*.f64 x x)`
-	-	`#s(literal 1 binary64)`
-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`

Results

32.0ms

512×

valid

Compiler

Compiled 43 to 17 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sqrt: 9.0ms (51.5% of total)

ival-mult: 5.0ms (28.6% of total)

ival-sub: 3.0ms (17.2% of total)

const: 1.0ms (5.7% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify204.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6336	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	-6336	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)

Rules

630×	`distribute-lft-out`
549×	`unsub-neg`
492×	`fma-neg`
472×	`distribute-rgt-out--`
399×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	60
1	20	60
2	27	60
3	39	60
4	56	60
5	84	60
6	131	60
7	347	60
8	736	60
9	1571	60
10	2929	60
11	4631	60
12	5576	60
13	5894	60
14	6180	60
15	6349	60
16	6426	60
17	6693	60
18	7691	60

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(neg.f64 (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 x x)
x

localize24.0ms (0.7%)

Localize:

Found 3 expressions of interest:

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

Results

17.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (31.2% of total)

ival-sqrt: 2.0ms (31.2% of total)

ival-sub: 1.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite525.0ms (14.4%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`log1p-expm1-u`
408×	`expm1-log1p-u`
387×	`add-exp-log`
367×	`unpow-prod-down`
365×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	106	46
2	1207	46

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 x (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))

simplify177.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-neg`
678×	`fma-define`
572×	`distribute-lft-in`
524×	`distribute-rgt-in`
253×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	383	4294972753
1	727	4294972649
2	1781	4294972557
3	6696	4294972557

Stop Event

1×	node limit

Counts

179 → 215

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))

Outputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))))
(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))))))
(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 x (neg.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))))))
(.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
(.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))))) (neg.f64 x))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
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(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (+.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (+.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (+.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (+.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 x (+.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (+.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))

eval37.0ms (1%)

Compiler: Compiled 3041 to 639 computations (79% saved)

prune53.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	213	3	216

Accuracy

100.0%

Counts

216 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	100.0%	(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
▶	98.6%	#s(literal 1 binary64)

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify206.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
✓	cost-diff	6464	(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))

Rules

629×	`distribute-lft-out`
560×	`unsub-neg`
488×	`fma-neg`
431×	`fma-define`
399×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	101
1	28	95
2	42	93
3	58	93
4	75	93
5	99	93
6	157	93
7	364	93
8	771	93
9	1687	93
10	3017	93
11	4726	93
12	5685	93
13	6002	93
14	6288	93
15	6458	93
16	6535	93
17	6802	93
18	7800	93

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

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

localize68.0ms (1.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))

Results

58.0ms

256×

valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-pow: 40.0ms (85.2% of total)

ival-exp: 2.0ms (4.3% of total)

ival-log1p: 2.0ms (4.3% of total)

ival-mult: 2.0ms (4.3% of total)

const: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

series8.0ms (0.2%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))>
#<alt (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))>
#<alt (neg.f64 (pow.f64 x #s(literal 2 binary64)))>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>

Calls

12 calls:

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

rewrite112.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

437×	`unpow-prod-down`
393×	`log1p-expm1-u`
393×	`expm1-log1p-u`
373×	`add-exp-log`
358×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	130	66
2	1416	48

Stop Event

1×	node limit

Counts

4 → 209

Calls

Call 1

Inputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))

Outputs
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (exp.f64 #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (E.f64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (E.f64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (E.f64) (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) x) x)
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))

simplify236.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg`
759×	`times-frac`
296×	`*-commutative`
236×	`exp-prod`
212×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	584	4294975740
1	1057	4294975124
2	2770	4294975064
3	5625	4294974856

Stop Event

1×	node limit

Counts

257 → 363

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (exp.f64 #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (E.f64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
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(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 x (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) x) x)
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))))
(.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 x (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))))
(.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 x (+.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 x (neg.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(.f64 x (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))))))
(.f64 x (neg.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 x (neg.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
(.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))) (neg.f64 x))
(.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 x))
(.f64 (+.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
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(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (fma.f64 x x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x (neg.f64 x))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(.f64 (.f64 #s(literal -1 binary64) x) x)
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))

eval133.0ms (3.6%)

Compiler: Compiled 5569 to 1317 computations (76.4% saved)

prune53.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	362	1	363
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	363	3	366

Accuracy

100.0%

Counts

366 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	100.0%	(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
✓	98.6%	#s(literal 1 binary64)

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify205.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (neg.f64 x) x)
✓	cost-diff	0	(log1p.f64 (*.f64 (neg.f64 x) x))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))
✓	cost-diff	128	(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))

Rules

628×	`distribute-lft-out`
549×	`unsub-neg`
489×	`fma-neg`
406×	`distribute-rgt-in`
383×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	109
1	25	103
2	39	101
3	56	101
4	75	101
5	99	101
6	156	101
7	390	101
8	782	101
9	1581	101
10	2932	101
11	4642	101
12	5591	101
13	5909	101
14	6195	101
15	6364	101
16	6441	101
17	6708	101
18	7706	101

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))
#s(literal 1/2 binary64)
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x

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

localize30.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
✓	accuracy	100.0%	(log1p.f64 (*.f64 (neg.f64 x) x))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))

Results

19.0ms

256×

valid

Compiler

Compiled 30 to 8 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (41% of total)

ival-exp: 2.0ms (20.5% of total)

ival-log1p: 2.0ms (20.5% of total)

ival-neg: 1.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

series20.0ms (0.5%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))>
#<alt (log1p.f64 (*.f64 (neg.f64 x) x))>
#<alt (*.f64 (neg.f64 x) x)>
#<alt (neg.f64 x)>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(log (+ 1 (* (neg x) x)))
0.0ms	x	@	0	(* 1/2 (log (+ 1 (* (neg x) x))))
0.0ms	x	@	inf	(* (neg x) x)
0.0ms	x	@	-inf	(exp (* 1/2 (log (+ 1 (* (neg x) x)))))
0.0ms	x	@	inf	(exp (* 1/2 (log (+ 1 (* (neg x) x)))))

rewrite92.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`unpow-prod-down`
390×	`log1p-expm1-u`
390×	`expm1-log1p-u`
370×	`add-exp-log`
360×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	104
1	128	70
2	1481	52

Stop Event

1×	node limit

Counts

5 → 240

Calls

Call 1

Inputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)

Outputs
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (exp.f64 #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (E.f64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (E.f64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (E.f64) (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
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(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (E.f64)))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))

simplify195.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

543×	`associate-/r*`
413×	`prod-exp`
261×	`associate-+r+`
219×	`fma-neg`
217×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	637	8602
1	1138	8080
2	3039	7986
3	7733	7912

Stop Event

1×	node limit

Counts

300 → 406

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (exp.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
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(fma.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (E.f64)))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))))
(.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 x (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))))))
(.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(.f64 x (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 x (neg.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))) (.f64 x (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(.f64 x (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
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eval62.0ms (1.7%)

Compiler: Compiled 6089 to 1561 computations (74.4% saved)

prune55.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	406	0	406
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	406	3	409

Accuracy

100.0%

Counts

409 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	100.0%	(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
✓	98.6%	#s(literal 1 binary64)

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes7.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes6.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
3×	`sub-neg`
3×	`1-exp`
3×	`+-commutative`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	29	55
2	34	55
3	37	55
4	38	55

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 x (neg.f64 x)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)

soundness218.0ms (6%)

Rules

437×	`unpow-prod-down`
408×	`log1p-expm1-u`
408×	`expm1-log1p-u`
393×	`log1p-expm1-u`
393×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	106	46
2	1207	46
0	13	84
1	130	66
2	1416	48

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 100 to 57 computations (43% saved)

preprocess27.0ms (0.7%)

Remove: (abs x)
Compiler: Compiled 118 to 88 computations (25.4% saved)

Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

analyze3.0ms (0.1%)

sample570.0ms (15.6%)

preprocess230.0ms (6.3%)

explain87.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify204.0ms (5.6%)

localize24.0ms (0.7%)

series5.0ms (0.1%)

rewrite525.0ms (14.4%)

simplify177.0ms (4.8%)

eval37.0ms (1%)

prune53.0ms (1.4%)

simplify206.0ms (5.6%)

localize68.0ms (1.9%)

series8.0ms (0.2%)

rewrite112.0ms (3.1%)

simplify236.0ms (6.5%)

eval133.0ms (3.6%)

prune53.0ms (1.5%)

simplify205.0ms (5.6%)

localize30.0ms (0.8%)

series20.0ms (0.5%)

rewrite92.0ms (2.5%)

simplify195.0ms (5.3%)

eval62.0ms (1.7%)

prune55.0ms (1.5%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes1.0ms (0%)

simplify3.0ms (0.1%)

soundness218.0ms (6%)

preprocess27.0ms (0.7%)

end0.0ms (0%)

Profiling