Metrics for expax (section 3.5)

analyze40.0ms (0.8%)

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: 10.0ms

ival-exp: 3.0ms (29.5% of total)

ival-mult: 3.0ms (29.5% of total)

ival-sub: 2.0ms (19.6% of total)

ival->: 2.0ms (19.6% of total)

const: 0.0ms (0% of total)

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

sample1.3s (25%)

Results

878.0ms	5408×	1	valid
158.0ms	2848×	0	valid
18.0ms	333×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 704.0ms

ival-exp: 299.0ms (42.5% of total)

ival-sub: 151.0ms (21.4% of total)

ival-mult: 114.0ms (16.2% of total)

ival->: 66.0ms (9.4% of total)

backward-pass: 61.0ms (8.7% of total)

const: 13.0ms (1.8% of total)

Bogosity

preprocess198.0ms (3.8%)

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)

explain89.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
125	1	(-1.256710273235688e-265 4.7377018266871786e-58)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`x`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`a`

Results

50.0ms	316×	1	valid
12.0ms	196×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-exp: 14.0ms (43.2% of total)

ival-mult: 7.0ms (21.6% of total)

backward-pass: 6.0ms (18.5% of total)

ival-sub: 5.0ms (15.4% of total)

const: 1.0ms (3.1% 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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

localize17.0ms (0.3%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 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: 4.0ms

ival-mult: 2.0ms (46.4% of total)

ival-expm1: 2.0ms (46.4% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.2%)

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
4.0ms	x	@	-inf	(- (exp (* a x)) 1)
1.0ms	a	@	0	(- (exp (* a x)) 1)
0.0ms	x	@	0	(- (exp (* a x)) 1)
0.0ms	a	@	inf	(* a x)
0.0ms	a	@	0	(* a x)

rewrite199.0ms (3.8%)

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)))

simplify84.0ms (1.6%)

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)

prune20.0ms (0.4%)

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
▶	40.0%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
▶	56.8%	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
▶	64.0%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	38.1%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 a x)
	cost-diff	0	(expm1.f64 (*.f64 a x))
✓	cost-diff	0	(sqrt.f64 (expm1.f64 (*.f64 a x)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓	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	(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))))

Rules

140×	`fma-define`
82×	`associate-r`
55×	`associate-l`
15×	`*-commutative`
8×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	315
1	38	307
2	80	307
3	147	307
4	230	307
5	263	307
6	284	307
7	362	307
8	422	307
9	431	307

Stop Event

1×

saturated

Calls

Call 1

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
(*.f64 a x)
a
x
(.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)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 2 binary64)

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
(*.f64 a x)
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 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) x)))
(.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 a (*.f64 x #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 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) x))
(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 a (.f64 x #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 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) x)
(.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))
(.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)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(expm1.f64 (*.f64 a x))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 2 binary64)

localize74.0ms (1.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 a x)
	accuracy	100.0%	(expm1.f64 (*.f64 a x))
✓	accuracy	99.8%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓	accuracy	93.1%	(sqrt.f64 (expm1.f64 (*.f64 a x)))
✓	accuracy	100.0%	(pow.f64 a #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 a (.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 (*.f64 a x))
✓	accuracy	97.9%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	accuracy	93.0%	(log.f64 (expm1.f64 (*.f64 a x)))

Results

29.0ms	170×	0	invalid
24.0ms	86×	0	valid

Compiler

Compiled 89 to 16 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 9.0ms (38.6% of total)

ival-pow: 5.0ms (21.4% of total)

ival-exp: 2.0ms (8.6% of total)

ival-expm1: 2.0ms (8.6% of total)

ival-log: 2.0ms (8.6% of total)

ival-sqrt: 2.0ms (8.6% of total)

ival-add: 1.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

series234.0ms (4.4%)

Counts

9 → 138

Calls

Call 1

Inputs
#<alt (exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))>
#<alt (log.f64 (expm1.f64 (*.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 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 (pow.f64 a #s(literal 2 binary64)) x)>
#<alt (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (expm1.f64 (*.f64 a x)))>
#<alt (pow.f64 a #s(literal 2 binary64))>

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))>
#<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 #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))))))>
#<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))>
#<alt (sqrt.f64 (*.f64 a x))>
#<alt (+.f64 (sqrt.f64 (.f64 a x)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (sqrt.f64 (.f64 a x)) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (sqrt.f64 (.f64 a (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a))))))>
#<alt (+.f64 (sqrt.f64 (.f64 a x)) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a))) (.f64 a (+.f64 (.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) a))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a x)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) a))))))))))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (*.f64 a x))>
#<alt (+.f64 (sqrt.f64 (.f64 a x)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (sqrt.f64 (.f64 a x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (sqrt.f64 (.f64 (pow.f64 a #s(literal 5 binary64)) x))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x))))))>
#<alt (+.f64 (sqrt.f64 (.f64 a x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x))) (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) x))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x a)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) x))))))))))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))>

Calls

51 calls:

Time	Variable		Point	Expression
109.0ms	x	@	-inf	(* x (+ a (* 1/2 (* (pow a 2) x))))
32.0ms	x	@	-inf	(log (- (exp (* a x)) 1))
30.0ms	a	@	inf	(log (- (exp (* a x)) 1))
23.0ms	a	@	-inf	(log (- (exp (* a x)) 1))
20.0ms	x	@	inf	(log (- (exp (* a x)) 1))

rewrite183.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`log1p-expm1-u`
655×	`expm1-log1p-u`
623×	`log-prod`
423×	`fma-define`
217×	`pow-to-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	207
1	266	199
2	3135	199

Stop Event

1×	node limit

Counts

9 → 348

Calls

Call 1

Inputs
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (expm1.f64 (*.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 #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 (pow.f64 a #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 a #s(literal 2 binary64))

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

simplify233.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-r`
503×	`associate-l`
380×	`fma-define`
333×	`fma-neg`
325×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	827	17824
1	1855	16778
2	6062	16762

Stop Event

1×	node limit

Counts

486 → 459

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

eval81.0ms (1.5%)

Compiler: Compiled 11036 to 2160 computations (80.4% saved)

prune146.0ms (2.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	681	3	684
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	682	7	689

Accuracy

100.0%

Counts

689 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.0%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
▶	20.8%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
▶	56.8%	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))))
▶	63.0%	(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))))
✓	64.0%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	38.1%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 63 to 43 computations (31.7% saved)

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 a x))
	cost-diff	0	(*.f64 a x)
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
✓	cost-diff	-6272	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x))
✓	cost-diff	-6272	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓	cost-diff	-6272	(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))))
	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) #s(literal 1/2 binary64))

Rules

601×	`unsub-neg`
481×	`fma-define`
466×	`distribute-lft-in`
414×	`distribute-rgt-in`
406×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	347
1	60	323
2	146	323
3	283	323
4	676	323
5	3337	323
6	5905	323
7	7394	323

Stop Event

1×	node limit

Calls

Call 1

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

localize99.0ms (1.9%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 a x))
	accuracy	100.0%	(*.f64 a x)
✓	accuracy	56.3%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x))
✓	accuracy	100.0%	(+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)))
✓	accuracy	98.8%	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))))
✓	accuracy	87.2%	(.f64 (.f64 a a) x)
✓	accuracy	100.0%	(.f64 (.f64 a x) #s(literal 1/2 binary64))
	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal 1/2 binary64))))
✓	accuracy	98.8%	(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))))

Results

54.0ms	158×	1	valid
23.0ms	98×	0	valid

Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 23.0ms (62.8% of total)

ival-add: 5.0ms (13.6% of total)

backward-pass: 5.0ms (13.6% of total)

ival-sub: 2.0ms (5.5% of total)

const: 1.0ms (2.7% of total)

series19.0ms (0.4%)

Counts

10 → 222

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite179.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

957×	`log1p-expm1-u`
781×	`expm1-log1p-u`
189×	`associate-r`
158×	`add-cube-cbrt`
156×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	271
1	352	239
2	5313	239

Stop Event

1×	node limit

Counts

10 → 314

Calls

Call 1

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

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

simplify216.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

533×	`fma-neg`
524×	`distribute-lft-neg-in`
507×	`distribute-rgt-neg-in`
350×	`associate-r`
311×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	534	18460
1	1197	17652
2	4224	17449

Stop Event

1×	node limit

Counts

536 → 330

Calls

Call 1

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

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

eval143.0ms (2.7%)

Compiler: Compiled 5874 to 1250 computations (78.7% saved)

prune59.0ms (1.1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	376	4	380
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	376	11	387

Accuracy

100.0%

Counts

387 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.0%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
▶	20.8%	(-.f64 (-.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	20.8%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
▶	17.7%	(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
▶	18.8%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	62.9%	(+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x)) (*.f64 a x))
✓	56.8%	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))))
✓	63.0%	(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))))
✓	64.0%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	38.1%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 105 to 70 computations (33.3% saved)

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (*.f64 a x) #s(literal 2 binary64))
✓	cost-diff	-6144	(-.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64))
	cost-diff	0	(*.f64 a x)
✓	cost-diff	384	(-.f64 (-.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	-6144	(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) a))
✓	cost-diff	384	(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 a (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x))

Rules

805×	`sub-neg`
680×	`fma-define`
531×	`cancel-sign-sub-inv`
467×	`distribute-neg-in`
419×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	291
1	62	261
2	145	261
3	258	261
4	903	261
5	2644	261
6	5580	261
7	7809	261

Stop Event

1×	node limit

Calls

Call 1

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

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

localize251.0ms (4.8%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 a x) #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(-.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	accuracy	56.3%	(-.f64 (-.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1 binary64) a))
✓	accuracy	99.8%	(*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a)))
✓	accuracy	56.3%	(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal 1/2 binary64)))
	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.6%	(.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x))
✓	accuracy	92.8%	(+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x)) (*.f64 a x))

Results

150.0ms	98×	0	valid
39.0ms	75×	2	valid
34.0ms	83×	1	valid

Compiler

Compiled 98 to 19 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 14.0ms (29.3% of total)

ival-sub: 13.0ms (27.2% of total)

backward-pass: 10.0ms (21% of total)

ival-add: 7.0ms (14.7% of total)

ival-div: 4.0ms (8.4% of total)

const: 1.0ms (2.1% of total)

series24.0ms (0.5%)

Counts

12 → 216

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(- (+ (* a x) 2) 1)
1.0ms	a	@	-inf	(- (* a (+ x (/ 1 a))) 1)
1.0ms	a	@	0	(* (* a (* x 1/2)) (* a x))
1.0ms	x	@	0	(- (* a (+ x (/ 1 a))) 1)
1.0ms	a	@	inf	(* (* a (* x 1/2)) (* a x))

rewrite227.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`log1p-expm1-u`
343×	`expm1-log1p-u`
172×	`add-cube-cbrt`
171×	`add-log-exp`
170×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	270
1	381	194
2	5947	194

Stop Event

1×	node limit

Counts

12 → 414

Calls

Call 1

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

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

simplify218.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-neg`
333×	`fma-define`
304×	`div-sub`
302×	`associate-r`
291×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	673	17212
1	1449	16450
2	4991	16390

Stop Event

1×	node limit

Counts

630 → 403

Calls

Call 1

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

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

eval67.0ms (1.3%)

Compiler: Compiled 7296 to 1482 computations (79.7% saved)

prune71.0ms (1.3%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	474	4	478
Fresh	0	0	0
Picked	1	3	4
Done	1	6	7
Total	476	13	489

Accuracy

100.0%

Counts

489 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.0%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
✓	20.8%	(-.f64 (-.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	20.8%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
	16.1%	(-.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
✓	17.7%	(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
	19.7%	(+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)))
✓	62.9%	(+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x)) (*.f64 a x))
✓	63.0%	(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))))
	63.0%	(.f64 a (+.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))) x))
✓	64.0%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	38.1%	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
	18.8%	#s(literal 0 binary64)

Compiler

Compiled 269 to 134 computations (50.2% saved)

regimes182.0ms (3.5%)

Counts

17 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
(-.f64 (-.f64 (+.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 a (+.f64 (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64)))) x))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))))
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))))
(+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x)) (*.f64 a x))
(+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #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))))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))

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

Calls

5 calls:

161.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms	x
5.0ms	a
5.0ms	(*.f64 a x)
4.0ms	(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)

regimes19.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

10.0ms	a
4.0ms	x
4.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
64.0%	1	`a`
64.0%	1	`x`
64.0%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	a
1.0ms	x

Results

Accuracy	Segments	Branch
18.8%	1	`x`
18.8%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	12	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

soundness315.0ms (6%)

Rules

1074×	`log1p-expm1-u`
343×	`expm1-log1p-u`
319×	`log1p-expm1-u`
318×	`expm1-log1p-u`
311×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	270
1	381	194
2	5947	194
0	10	30
1	82	30
2	894	30
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
1×	node limit
1×	node limit

Compiler

Compiled 61 to 30 computations (50.8% saved)

preprocess32.0ms (0.6%)

Remove: (sort a x)
Compiler: Compiled 84 to 54 computations (35.7% saved)

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	21	315
1	38	307
2	80	307
3	147	307
4	230	307
5	263	307
6	284	307
7	362	307
8	422	307
9	431	307

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	21	315
1	38	307
2	80	307
3	147	307
4	230	307
5	263	307
6	284	307
7	362	307
8	422	307
9	431	307

analyze40.0ms (0.8%)

sample1.3s (25%)

preprocess198.0ms (3.8%)

explain89.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize17.0ms (0.3%)

series9.0ms (0.2%)

rewrite199.0ms (3.8%)

simplify84.0ms (1.6%)

eval12.0ms (0.2%)

prune20.0ms (0.4%)

simplify26.0ms (0.5%)

localize74.0ms (1.4%)

series234.0ms (4.4%)

rewrite183.0ms (3.5%)

simplify233.0ms (4.4%)

eval81.0ms (1.5%)

prune146.0ms (2.8%)

simplify86.0ms (1.6%)

localize99.0ms (1.9%)

series19.0ms (0.4%)

rewrite179.0ms (3.4%)

simplify216.0ms (4.1%)

eval143.0ms (2.7%)

prune59.0ms (1.1%)

simplify87.0ms (1.7%)

localize251.0ms (4.8%)

series24.0ms (0.5%)

rewrite227.0ms (4.3%)

simplify218.0ms (4.1%)

eval67.0ms (1.3%)

prune71.0ms (1.3%)

regimes182.0ms (3.5%)

regimes19.0ms (0.4%)

regimes3.0ms (0.1%)

simplify2.0ms (0%)

soundness315.0ms (6%)

preprocess32.0ms (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	21	315
1	38	307
2	80	307
3	147	307
4	230	307
5	263	307
6	284	307
7	362	307
8	422	307
9	431	307