Metrics for expax (section 3.5)

analyze27.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	6.3%	0%	0%	0%	6
75.9%	68.7%	21.9%	9.5%	0%	0%	0%	7
80%	68.7%	17.2%	14.1%	0%	0%	0%	8
86%	71.8%	11.7%	16.5%	0%	0%	0%	9
88.9%	71.8%	9%	19.2%	0%	0%	0%	10
92.4%	73.4%	6%	20.6%	0%	0%	0%	11
94.1%	73.4%	4.6%	22%	0%	0%	0%	12

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 5.0ms (40.3% of total)

ival-mult: 3.0ms (24.2% of total)

ival-sub: 2.0ms (16.1% of total)

ival->: 2.0ms (16.1% of total)

const: 0.0ms (0% of total)

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

sample1.4s (26.6%)

Results

907.0ms	5293×	1	valid
218.0ms	2963×	0	valid
15.0ms	299×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 768.0ms

ival-exp: 376.0ms (49% of total)

ival-mult: 134.0ms (17.5% of total)

ival-sub: 86.0ms (11.2% of total)

backward-pass: 83.0ms (10.8% of total)

ival->: 71.0ms (9.3% of total)

const: 18.0ms (2.3% of total)

Bogosity

preprocess52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-define`
22×	`sub-neg`
20×	`exp-sum`
19×	`fma-neg`
12×	`exp-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
1	58	143
2	88	143
3	126	143
4	169	143
5	203	143
6	248	143
7	298	143
8	315	143
9	331	143
10	335	143

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (neg.f64 x)))
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))

Symmetry

(sort a x)

explain186.0ms (3.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	-	-	`x`
0	-	-	`(*.f64 a x)`
0	-	-	`(exp.f64 (*.f64 a x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`a`

Results

150.0ms	344×	1	valid
10.0ms	168×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

backward-pass: 99.0ms (76.5% of total)

ival-exp: 17.0ms (13.1% of total)

ival-mult: 7.0ms (5.4% of total)

ival-sub: 5.0ms (3.9% of total)

const: 1.0ms (0.8% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize24.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(expm1.f64 (*.f64 a x))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 a x))

Rules

3×	`1-exp`
2×	`exp-prod`
1×	`expm1-undefine`
1×	`*-commutative`
1×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	14	38
2	26	38
3	27	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x

Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x

Results

12.0ms

256×

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (43.2% of total)

ival-expm1: 2.0ms (43.2% of total)

const: 0.0ms (0% of total)

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

series39.0ms (0.7%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (expm1.f64 (*.f64 a x))>
#<alt (*.f64 a x)>

Outputs
#<alt (*.f64 a x)>
#<alt (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	a	@	-inf	(* a x)
2.0ms	x	@	inf	(* a x)
1.0ms	a	@	0	(- (exp (* a x)) 1)
1.0ms	x	@	0	(- (exp (* a x)) 1)
0.0ms	a	@	inf	(* a x)

rewrite180.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

319×	`log1p-expm1-u`
318×	`expm1-log1p-u`
311×	`unpow-prod-down`
305×	`add-exp-log`
293×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	82	30
2	894	30

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)

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

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

640×	`fma-define`
504×	`associate-r`
486×	`fma-neg`
383×	`associate-l`
327×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	230	2715
1	483	2659
2	1439	2643
3	5132	2627

Stop Event

1×	node limit

Counts

93 → 100

Calls

Call 1

Inputs
(*.f64 a x)
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64))
(.f64 (expm1.f64 (.f64 a x)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a x)) (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a x)) (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a x)))) (sqrt.f64 (log.f64 (.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 a x))
(log.f64 (pow.f64 (exp.f64 a) x))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a x))) #s(literal 2 binary64)))

Outputs
(*.f64 a x)
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(.f64 a (fma.f64 a (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 a (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 a (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(.f64 a (fma.f64 a (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))) a))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))) a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(expm1.f64 (*.f64 a x))
(.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(.f64 (expm1.f64 (.f64 a x)) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a x)) (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a x)) (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a x)) (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(expm1.f64 (*.f64 a x))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(*.f64 a x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(*.f64 a x)
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 a x)
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 a x)
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(*.f64 a x)
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(*.f64 a x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a x)))) (sqrt.f64 (log.f64 (.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 a x)
(fabs.f64 (*.f64 a x))
(*.f64 a x)
(log.f64 (pow.f64 (exp.f64 a) x))
(*.f64 a x)
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(*.f64 a x)
(expm1.f64 (log1p.f64 (*.f64 a x)))
(*.f64 a x)
(log1p.f64 (expm1.f64 (*.f64 a x)))
(*.f64 a x)
(exp.f64 (log.f64 (*.f64 a x)))
(*.f64 a x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a x))) #s(literal 3 binary64)))
(*.f64 a x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(*.f64 a x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a x))) #s(literal 2 binary64)))
(*.f64 a x)

eval12.0ms (0.2%)

Compiler: Compiled 1282 to 341 computations (73.4% saved)

prune17.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Accuracy

100.0%

Counts

101 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.2%	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
▶	69.8%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	73.8%	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
▶	40.9%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize178.0ms (3.3%)

Algorithm

4×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
✓	cost-diff	64	(+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x)))
✓	cost-diff	64	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
	cost-diff	0	(*.f64 a x)
	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(pow.f64 (*.f64 a x) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
✓	cost-diff	12864	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
	cost-diff	0	(*.f64 a x)
	cost-diff	0	(expm1.f64 (*.f64 a x))
✓	cost-diff	0	(log.f64 (expm1.f64 (*.f64 a x)))
✓	cost-diff	12800	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	accuracy	100.0%	(+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
✓	accuracy	95.0%	(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
	accuracy	100.0%	(*.f64 a x)
	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
✓	accuracy	99.9%	(pow.f64 (*.f64 a x) #s(literal 3 binary64))
✓	accuracy	86.4%	(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
	accuracy	100.0%	(*.f64 a x)
	accuracy	100.0%	(expm1.f64 (*.f64 a x))
✓	accuracy	97.9%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	accuracy	92.5%	(log.f64 (expm1.f64 (*.f64 a x)))

Rules

138×	`fma-define`
80×	`associate-r`
60×	`associate-l`
59×	`associate-r`
27×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	16	76
2	28	76
3	29	76
0	13	71
1	25	71
2	62	71
3	123	71
4	144	71
0	8	21
1	9	21
0	14	141
1	27	133
2	59	133
3	126	133
4	204	133
5	242	133
6	263	133
7	341	133
8	398	133
9	406	133

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(*.f64 a x)
a
x

Outputs
(*.f64 a x)
a
x

Call 3

Inputs
(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(pow.f64 (*.f64 a x) #s(literal 3 binary64))
(*.f64 a x)
a
x
#s(literal 3 binary64)

Outputs
(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(*.f64 a x)
(pow.f64 (*.f64 a x) #s(literal 3 binary64))
(*.f64 a x)
a
x
#s(literal 3 binary64)

Call 4

Inputs
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x

Outputs
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(log.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x

Results

33.0ms	171×	0	invalid
66.0ms	85×	0	valid

Compiler

Compiled 91 to 18 computations (80.2% saved)

Precisions

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

ival-pow: 57.0ms (74.5% of total)

ival-mult: 8.0ms (10.5% of total)

ival-expm1: 4.0ms (5.2% of total)

ival-exp: 2.0ms (2.6% of total)

ival-cbrt: 2.0ms (2.6% of total)

ival-log: 2.0ms (2.6% of total)

ival-add: 1.0ms (1.3% of total)

const: 1.0ms (1.3% of total)

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

series162.0ms (3%)

Counts

9 → 162

Calls

Call 1

Inputs
#<alt (log.f64 (expm1.f64 (*.f64 a x)))>
#<alt (exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))>
#<alt (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))>
#<alt (pow.f64 (*.f64 a x) #s(literal 3 binary64))>
#<alt (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) x)>
#<alt (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x)))>

Outputs
#<alt (+.f64 (log.f64 a) (log.f64 x))>
#<alt (+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 a x))))>
#<alt (+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))))))>
#<alt (+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))))))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 a) (log.f64 x))>
#<alt (+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 a x))))>
#<alt (+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64))))))))))>
#<alt (+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64)))))))))))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (*.f64 a x)>
#<alt (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
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#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (*.f64 a x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
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#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 a x)>
#<alt (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (*.f64 a x)>
#<alt (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))>
#<alt a>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 a x))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))>
#<alt a>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 a x)) (.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 a x)) (.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 a x)) (.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))>

Calls

54 calls:

Time	Variable		Point	Expression
49.0ms	a	@	-inf	(log (- (exp (* a x)) 1))
35.0ms	x	@	-inf	(log (- (exp (* a x)) 1))
28.0ms	a	@	inf	(log (- (exp (* a x)) 1))
16.0ms	x	@	inf	(log (- (exp (* a x)) 1))
6.0ms	a	@	0	(cbrt (pow (* a x) 3))

rewrite173.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`log1p-expm1-u`
664×	`expm1-log1p-u`
649×	`log-prod`
436×	`fma-define`
203×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	208
1	284	200
2	3261	200

Stop Event

1×	node limit

Counts

9 → 327

Calls

Call 1

Inputs
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(pow.f64 (*.f64 a x) #s(literal 3 binary64))
(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
(+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x)))

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

simplify210.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

506×	`associate-r`
468×	`times-frac`
435×	`fma-define`
431×	`associate-l`
371×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	702	16534
1	1570	15640
2	5184	15586

Stop Event

1×	node limit

Counts

489 → 430

Calls

Call 1

Inputs
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 a x))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))))))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 a x))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64))))))))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64)))))))))))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(*.f64 a x)
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 a x)
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(*.f64 a x)
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(*.f64 a x)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(*.f64 a x)
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x a)))
a
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
a
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (/.f64 a x)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
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(+.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
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(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (-.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (.f64 (log.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 1 binary64)))
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(-.f64 (pow.f64 (exp.f64 x) a) (log.f64 (exp.f64 #s(literal 1 binary64))))
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(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))
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(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (expm1.f64 (*.f64 a x))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) (cbrt.f64 (pow.f64 (exp.f64 x) a))) (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 a x))) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a x))
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(.f64 (cbrt.f64 (.f64 a x)) (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)))
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(.f64 (sqrt.f64 (.f64 a x)) (sqrt.f64 (*.f64 a x)))
(.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 a (sqrt.f64 x)))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) x))
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(.f64 (.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a))
(.f64 (.f64 x (sqrt.f64 a)) (sqrt.f64 a))
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(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (.f64 a x)) #s(literal 1 binary64)))
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(.f64 #s(literal 1 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))))
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(fma.f64 (.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 (.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 a)) (sqrt.f64 a) (.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))))
(fma.f64 (.f64 x (sqrt.f64 a)) (sqrt.f64 a) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))) x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))) x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))) x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))) x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))) x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 x (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))) x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 2 binary64)))))))
(.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) a))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) a)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) a)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) a)) (sqrt.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))
(.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (neg.f64 a)) (pow.f64 a #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a (.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) (neg.f64 a)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 x (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 2 binary64))))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) (neg.f64 a)) (pow.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64) (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 x (pow.f64 a #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) (neg.f64 a)) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 a (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (pow.f64 a #s(literal 2 binary64)))) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) (neg.f64 a)))
(pow.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a))))
(log.f64 (.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (pow.f64 (pow.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))) x) #s(literal 1/2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))) x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (exp.f64 a)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)))
(fma.f64 a #s(literal 1 binary64) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) a)
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)
(fma.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64) a)
(fma.f64 #s(literal 1 binary64) a (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 (cbrt.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64)))) #s(literal 1/2 binary64)) a)
(fma.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) a)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 a (sqrt.f64 x)) (.f64 (*.f64 a (sqrt.f64 x)) #s(literal 1/2 binary64)) a)
(fma.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 a #s(literal 2 binary64)) a)
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64)))) a)
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (sqrt.f64 x))) (*.f64 a (sqrt.f64 x)) a)
(fma.f64 (.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x a)
(fma.f64 (.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) a)
(fma.f64 (.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) a)

Outputs
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 a x))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 (.f64 a #s(literal 1/2 binary64)) x)))
(+.f64 (log.f64 a) (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) (log.f64 x)))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
(+.f64 (+.f64 (log.f64 a) (log.f64 x)) (.f64 a (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 a (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))))))
(+.f64 (log.f64 a) (fma.f64 a (fma.f64 x #s(literal 1/2 binary64) (.f64 a (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (log.f64 x)))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))))))
(+.f64 (+.f64 (log.f64 a) (log.f64 x)) (.f64 a (fma.f64 #s(literal 1/2 binary64) x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))))))
(+.f64 (log.f64 a) (fma.f64 a (fma.f64 a (+.f64 (.f64 a #s(literal 0 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 a (fma.f64 a (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 0 binary64)) (.f64 x #s(literal 1/2 binary64))) (log.f64 x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 a x))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 (.f64 a #s(literal 1/2 binary64)) x)))
(+.f64 (log.f64 a) (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) (log.f64 x)))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64))))))))))
(+.f64 (+.f64 (log.f64 a) (log.f64 x)) (.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 a (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/12 binary64)))))))
(+.f64 (log.f64 a) (fma.f64 x (fma.f64 a #s(literal 1/2 binary64) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (log.f64 x)))
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a
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a
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(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a) #s(literal 3 binary64)))
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))
(expm1.f64 (log1p.f64 (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(exp.f64 (log.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)))
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)))
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 a #s(literal 1 binary64) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 x (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 a #s(literal 2 binary64))) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 #s(literal 1 binary64) a (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 (cbrt.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64)))) #s(literal 1/2 binary64)) a)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64))))) a)
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) (cbrt.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64)))) a)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64))))) a)
(fma.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)))) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (.f64 a (sqrt.f64 x)) (.f64 (*.f64 a (sqrt.f64 x)) #s(literal 1/2 binary64)) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) x a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (.f64 x (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 a)) (.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 a #s(literal 2 binary64)) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64)))) a)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64))))) a)
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) (cbrt.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64)))) a)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 x (pow.f64 a #s(literal 2 binary64))))) a)
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (sqrt.f64 x))) (*.f64 a (sqrt.f64 x)) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)
(fma.f64 (.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) a)
(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) a)

eval71.0ms (1.3%)

Compiler: Compiled 8824 to 1816 computations (79.4% saved)

prune101.0ms (1.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	578	2	580
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	579	6	585

Accuracy

100.0%

Counts

585 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.3%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
▶	69.1%	(.f64 x (.f64 a (+.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
✓	69.8%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	73.8%	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
✓	40.9%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 50 to 35 computations (30% saved)

localize214.0ms (4%)

Algorithm

2×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 a x))
	cost-diff	-128	(*.f64 a x)
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
✓	cost-diff	-6272	(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
✓	cost-diff	-6272	(.f64 x (.f64 a (+.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 a #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 a #s(literal 1/2 binary64)) x)
	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 a x))
✓	accuracy	53.0%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (.f64 a #s(literal 1/2 binary64)) x)
✓	accuracy	99.9%	(.f64 a (+.f64 (.f64 (*.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
✓	accuracy	99.6%	(.f64 x (.f64 a (+.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))

Rules

3102×	`associate-+r-`
1461×	`sub-neg`
1196×	`+-commutative`
208×	`associate-+l-`
118×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	129
1	37	129
2	89	129
3	202	129
4	327	129
5	347	129
0	11	78
1	24	62
2	35	50
3	42	50
4	83	50
5	185	50
6	446	50
7	856	50
8	1010	50
9	1065	50
10	1065	50
11	2147	50
12	2609	50
13	2795	50
14	2795	50
15	2795	50
16	6736	50
17	7036	50
18	7039	50
19	7039	50
20	7833	50

Stop Event

1×	node limit
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Results

44.0ms	172×	1	valid
10.0ms	84×	0	valid

Compiler

Compiled 60 to 13 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 15.0ms (53.7% of total)

ival-add: 5.0ms (17.9% of total)

backward-pass: 5.0ms (17.9% of total)

ival-sub: 2.0ms (7.2% of total)

const: 1.0ms (3.6% of total)

series14.0ms (0.3%)

Counts

7 → 150

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite154.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`log1p-expm1-u`
724×	`expm1-log1p-u`
666×	`fma-define`
637×	`log-prod`
316×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	163
1	256	147
2	3622	147

Stop Event

1×	node limit

Counts

7 → 356

Calls

Call 1

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

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

simplify210.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

507×	`fma-neg`
426×	`distribute-lft-neg-in`
407×	`distribute-rgt-neg-in`
385×	`associate-r`
353×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	698	15589
1	1509	14588
2	4603	14487

Stop Event

1×	node limit

Counts

506 → 483

Calls

Call 1

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

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

eval62.0ms (1.1%)

Compiler: Compiled 7900 to 1533 computations (80.6% saved)

prune95.0ms (1.8%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	505	3	508
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	505	9	514

Accuracy

100.0%

Counts

514 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.3%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
▶	20.2%	(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
✓	69.1%	(.f64 x (.f64 a (+.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
▶	69.0%	(.f64 x (.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))))
▶	69.0%	(.f64 x (.f64 a (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
✓	69.8%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	73.8%	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
✓	40.9%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 91 to 62 computations (31.9% saved)

localize714.0ms (13.2%)

Algorithm

3×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 a (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	384	(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
✓	cost-diff	-6144	(.f64 a (.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	-6144	(.f64 x (.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	-6144	(.f64 a (.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a))))
✓	cost-diff	-6144	(.f64 x (.f64 a (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 a (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	53.0%	(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(.f64 a (.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.6%	(.f64 x (.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a))
✓	accuracy	99.9%	(.f64 a (.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a))))
✓	accuracy	99.8%	(.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
✓	accuracy	99.6%	(.f64 x (.f64 a (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))))

Rules

2641×	`associate-+r-`
1851×	`fma-define`
1273×	`cube-prod`
1008×	`fma-neg`
931×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	168
1	38	141
2	110	141
3	267	141
4	645	141
5	1994	141
6	2455	141
7	3566	141
8	4982	141
9	5449	141
10	6044	141
11	6783	141
12	7122	141
0	15	168
1	38	141
2	120	141
3	268	141
4	703	141
5	1622	141
6	2556	141
7	3446	141
8	3733	141
9	3927	141
10	4160	141
11	4492	141
12	4924	141
13	5473	141
14	6150	141
15	6557	141
16	6860	141
17	7004	141
18	7145	141
19	7286	141
0	12	96
1	31	72
2	49	66
3	60	66
4	120	66
5	279	66
6	612	66
7	1144	66
8	1369	66
9	1557	66
10	1611	66
11	1611	66
12	2505	66
13	3060	66
14	3638	66
15	3868	66
16	3868	66
17	3868	66
18	7402	66
19	7680	66
20	7689	66
21	7689	66

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Results

38.0ms	90×	1	valid
16.0ms	84×	0	valid
55.0ms	82×	2	valid

Compiler

Compiled 130 to 20 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 32.0ms (50.5% of total)

backward-pass: 11.0ms (17.4% of total)

ival-div: 8.0ms (12.6% of total)

ival-add: 8.0ms (12.6% of total)

ival-sub: 3.0ms (4.7% of total)

const: 1.0ms (1.6% of total)

series31.0ms (0.6%)

Counts

15 → 228

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite213.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`log1p-expm1-u`
243×	`associate-r`
197×	`add-cube-cbrt`
197×	`expm1-log1p-u`
196×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	393
1	426	315
2	6670	315

Stop Event

1×	node limit

Counts

15 → 403

Calls

Call 1

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

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

simplify497.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-neg`
337×	`exp-prod`
325×	`associate-r`
324×	`associate-l`
291×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	712	19391
1	1597	18007
2	5090	17953

Stop Event

1×	node limit

Counts

631 → 458

Calls

Call 1

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

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

eval64.0ms (1.2%)

Compiler: Compiled 7872 to 1924 computations (75.6% saved)

prune93.0ms (1.7%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	480	6	486
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	481	14	495

Accuracy

100.0%

Counts

495 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.9%	(-.f64 (/.f64 (-.f64 (.f64 (.f64 x a) (.f64 x a)) #s(literal 1 binary64)) (-.f64 (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	23.3%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
	69.0%	(.f64 x (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x a)) (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x a))))
	69.1%	(.f64 x (+.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) a) a))
✓	69.1%	(.f64 x (.f64 a (+.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
	69.7%	(.f64 x (.f64 a (*.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	69.0%	(.f64 x (.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))))
	21.0%	(.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))))
	69.6%	(.f64 x (.f64 a (*.f64 a (/.f64 #s(literal 1 binary64) a))))
✓	69.0%	(.f64 x (.f64 a (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
✓	69.8%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	73.8%	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
✓	40.9%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 328 to 168 computations (48.8% saved)

regimes19.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(.f64 x (.f64 a (*.f64 a (/.f64 #s(literal 1 binary64) a))))
(.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))))
(.f64 x (.f64 a (*.f64 x (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(.f64 x (.f64 a (+.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(.f64 x (+.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) a) a))
(.f64 x (.f64 a (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
(.f64 x (.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x a)) (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x a))))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 x a) (.f64 x a)) #s(literal 1 binary64)) (-.f64 (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))

Outputs
(expm1.f64 (*.f64 a x))

Calls

5 calls:

6.0ms	x
5.0ms	a
4.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes11.0ms (0.2%)

Accuracy

Total -33.5b remaining (-172.9%)

Threshold costs -33.5b (-172.9%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

4.0ms	x
4.0ms	(*.f64 a x)
3.0ms	a

Results

Accuracy	Segments	Branch
69.8%	1	`a`
69.8%	1	`x`
69.8%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	11	30

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)

Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)

soundness24.0ms (0.5%)

Rules

48×	`fma-define`
22×	`sub-neg`
20×	`exp-sum`
19×	`fma-neg`
12×	`exp-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
1	58	143
2	88	143
3	126	143
4	169	143
5	203	143
6	248	143
7	298	143
8	315	143
9	331	143
10	335	143

Stop Event

1×	fuel
1×	saturated

Compiler

Compiled 21 to 11 computations (47.6% saved)

preprocess30.0ms (0.6%)

Remove: (sort a x)
Compiler: Compiled 82 to 52 computations (36.6% saved)

expax (section 3.5)

analyze27.0ms (0.5%)

sample1.4s (26.6%)

preprocess52.0ms (1%)

explain186.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.4%)

series39.0ms (0.7%)

rewrite180.0ms (3.3%)

simplify83.0ms (1.5%)

eval12.0ms (0.2%)

prune17.0ms (0.3%)

localize178.0ms (3.3%)

series162.0ms (3%)

rewrite173.0ms (3.2%)

simplify210.0ms (3.9%)

eval71.0ms (1.3%)

prune101.0ms (1.9%)

localize214.0ms (4%)

series14.0ms (0.3%)

rewrite154.0ms (2.9%)

simplify210.0ms (3.9%)

eval62.0ms (1.1%)

prune95.0ms (1.8%)

localize714.0ms (13.2%)

series31.0ms (0.6%)

rewrite213.0ms (4%)

simplify497.0ms (9.2%)

eval64.0ms (1.2%)

prune93.0ms (1.7%)

regimes19.0ms (0.4%)

regimes11.0ms (0.2%)

simplify2.0ms (0%)

soundness24.0ms (0.5%)

preprocess30.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	143
1	58	143
2	88	143
3	126	143
4	169	143
5	203	143
6	248	143
7	298	143
8	315	143
9	331	143
10	335	143

Iter	Nodes	Cost
0	12	76
1	16	76
2	28	76
3	29	76
0	13	71
1	25	71
2	62	71
3	123	71
4	144	71
0	8	21
1	9	21
0	14	141
1	27	133
2	59	133
3	126	133
4	204	133
5	242	133
6	263	133
7	341	133
8	398	133
9	406	133

Iter	Nodes	Cost
0	25	143
1	58	143
2	88	143
3	126	143
4	169	143
5	203	143
6	248	143
7	298	143
8	315	143
9	331	143
10	335	143

Iter	Nodes	Cost
0	25	143
1	58	143
2	88	143
3	126	143
4	169	143
5	203	143
6	248	143
7	298	143
8	315	143
9	331	143
10	335	143

Iter	Nodes	Cost
0	12	76
1	16	76
2	28	76
3	29	76
0	13	71
1	25	71
2	62	71
3	123	71
4	144	71
0	8	21
1	9	21
0	14	141
1	27	133
2	59	133
3	126	133
4	204	133
5	242	133
6	263	133
7	341	133
8	398	133
9	406	133

Iter	Nodes	Cost
0	25	143
1	58	143
2	88	143
3	126	143
4	169	143
5	203	143
6	248	143
7	298	143
8	315	143
9	331	143
10	335	143

Iter	Nodes	Cost
0	25	143
1	58	143
2	88	143
3	126	143
4	169	143
5	203	143
6	248	143
7	298	143
8	315	143
9	331	143
10	335	143

Iter	Nodes	Cost
0	12	76
1	16	76
2	28	76
3	29	76
0	13	71
1	25	71
2	62	71
3	123	71
4	144	71
0	8	21
1	9	21
0	14	141
1	27	133
2	59	133
3	126	133
4	204	133
5	242	133
6	263	133
7	341	133
8	398	133
9	406	133

Iter	Nodes	Cost
0	25	143
1	58	143
2	88	143
3	126	143
4	169	143
5	203	143
6	248	143
7	298	143
8	315	143
9	331	143
10	335	143