Metrics for Hyperbolic arc-(co)secant

analyze4.0ms (0.2%)

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
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (48.6% of total)

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

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

ival-log: 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)

sample1.2s (50.3%)

Results

942.0ms	8256×	0	valid
1.0ms	15×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 763.0ms

ival-div: 433.0ms (56.7% of total)

ival-log: 97.0ms (12.7% of total)

ival-sqrt: 67.0ms (8.8% of total)

ival-mult: 59.0ms (7.7% of total)

ival-sub: 50.0ms (6.5% of total)

ival-add: 40.0ms (5.2% of total)

const: 14.0ms (1.8% of total)

backward-pass: 4.0ms (0.5% of total)

Bogosity

preprocess146.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-define`
504×	`fma-neg`
455×	`associate-+r+`
430×	`distribute-lft-out--`
403×	`unsub-neg`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	23	224
1	50	208
2	84	208
3	170	208
4	305	196
5	512	196
6	789	172
7	1360	172
8	2100	172
9	2974	172
10	5680	172
11	7159	172

Stop Event

1×	node limit

Calls

Call 1

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

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

explain156.0ms (6.5%)

FPErrors

Click to see full error table

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

Results

105.0ms

512×

256

valid

Compiler

Compiled 122 to 70 computations (42.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 27.0ms (34.8% of total)

ival-sqrt: 17.0ms (21.9% of total)

ival-sub: 13.0ms (16.7% of total)

ival-log: 9.0ms (11.6% of total)

ival-add: 5.0ms (6.4% of total)

ival-mult: 5.0ms (6.4% of total)

const: 2.0ms (2.6% of total)

eval1.0ms (0%)

Compiler: Compiled 38 to 28 computations (26.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize69.0ms (2.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

Results

51.0ms

256×

256

valid

Compiler

Compiled 54 to 30 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 15.0ms (39.4% of total)

ival-sqrt: 7.0ms (18.4% of total)

ival-sub: 6.0ms (15.7% of total)

ival-log: 4.0ms (10.5% of total)

ival-add: 2.0ms (5.2% of total)

ival-mult: 2.0ms (5.2% of total)

const: 1.0ms (2.6% of total)

series5.0ms (0.2%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite220.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`log1p-expm1-u`
973×	`expm1-log1p-u`
438×	`log-prod`
399×	`fma-define`
192×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	189	70
2	2772	70

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

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

simplify105.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

779×	`times-frac`
726×	`fma-define`
469×	`associate-/r*`
265×	`associate-*r/`
262×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	8099
1	866	7653
2	2500	7110

Stop Event

1×	node limit

Counts

148 → 228

Calls

Call 1

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

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

eval66.0ms (2.8%)

Compiler: Compiled 4668 to 3767 computations (19.3% saved)

prune29.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	226	2	228
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	226	3	229

Accuracy

100.0%

Counts

229 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
▶	98.6%	(log.f64 (/.f64 #s(literal 2 binary64) x))
✓	100.0%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Status

Accuracy

Program

▶

99.3%

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

▶

98.6%

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

✓

100.0%

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

localize95.0ms (4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
✓	100.0%	(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

76.0ms

256×

256

valid

Compiler

Compiled 48 to 37 computations (22.9% saved)

Precisions

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

ival-pow: 15.0ms (33.6% of total)

ival-log: 9.0ms (20.2% of total)

ival-div: 8.0ms (17.9% of total)

ival-mult: 8.0ms (17.9% of total)

ival-add: 4.0ms (9% of total)

const: 2.0ms (4.5% of total)

series4.0ms (0.2%)

Counts

2 → 9

Calls

Call 1

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

Outputs
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>

Calls

6 calls:

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

rewrite88.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log1p-expm1-u`
639×	`expm1-log1p-u`
594×	`unpow-prod-down`
321×	`log-prod`
196×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	129	43
2	1738	43

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

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

simplify98.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

320×	`unswap-sqr`
284×	`associate-*r/`
282×	`fma-define`
268×	`exp-prod`
251×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	305	3469
1	561	3427
2	1319	3382
3	4982	3324

Stop Event

1×	node limit

Counts

110 → 137

Calls

Call 1

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

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

eval41.0ms (1.7%)

Compiler: Compiled 2460 to 2031 computations (17.4% saved)

prune19.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	137	3	140

Accuracy

100.0%

Counts

140 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
✓	98.6%	(log.f64 (/.f64 #s(literal 2 binary64) x))
✓	100.0%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Status

Accuracy

Program

✓

99.3%

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

✓

98.6%

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

✓

100.0%

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Compiler

Compiled 58 to 44 computations (24.1% saved)

regimes5.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

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

Calls

3 calls:

2.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

2.0ms

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

1.0ms

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes1.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

0.0ms

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

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	100
1	36	100
2	43	100
3	47	100
4	49	100

Stop Event

1×

saturated

Calls

Call 1

Inputs

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

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

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

Outputs

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

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

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 28 to 21 computations (25% saved)

preprocess30.0ms (1.2%)

Compiler: Compiled 84 to 62 computations (26.2% saved)

Hyperbolic arc-(co)secant

analyze4.0ms (0.2%)

sample1.2s (50.3%)

preprocess146.0ms (6.1%)

explain156.0ms (6.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize69.0ms (2.9%)

series5.0ms (0.2%)

rewrite220.0ms (9.2%)

simplify105.0ms (4.4%)

eval66.0ms (2.8%)

prune29.0ms (1.2%)

localize95.0ms (4%)

series4.0ms (0.2%)

rewrite88.0ms (3.7%)

simplify98.0ms (4.1%)

eval41.0ms (1.7%)

prune19.0ms (0.8%)

regimes5.0ms (0.2%)

regimes1.0ms (0.1%)

regimes1.0ms (0%)

simplify3.0ms (0.1%)

soundness1.0ms (0%)

preprocess30.0ms (1.2%)

end0.0ms (0%)

Profiling