Metrics for expax (section 3.5)

analyze28.0ms (0.6%)

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 (28.6% of total)

ival-mult: 3.0ms (28.6% of total)

ival-sub: 2.0ms (19.1% of total)

ival->: 2.0ms (19.1% of total)

const: 0.0ms (0% of total)

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

sample1.9s (41.6%)

Results

1.2s	5372×	1	valid
246.0ms	2884×	0	valid
17.0ms	315×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 962.0ms

ival-exp: 505.0ms (52.5% of total)

ival-sub: 182.0ms (18.9% of total)

ival-mult: 135.0ms (14% of total)

ival->: 68.0ms (7.1% of total)

backward-pass: 58.0ms (6% of total)

const: 15.0ms (1.6% of total)

Bogosity

preprocess51.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort a x)

explain100.0ms (2.2%)

FPErrors

Click to see full error table

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

Results

57.0ms	334×	1	valid
11.0ms	178×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-exp: 18.0ms (49.1% of total)

ival-mult: 8.0ms (21.8% of total)

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

backward-pass: 4.0ms (10.9% of total)

const: 1.0ms (2.7% 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)

localize27.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

15.0ms

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 (45.1% of total)

ival-expm1: 2.0ms (45.1% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

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

rewrite247.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

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

simplify83.0ms (1.8%)

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)

eval16.0ms (0.4%)

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

prune14.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Accuracy

100.0%

Counts

101 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.5%	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
▶	66.7%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize61.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
✓	cost-diff	64	(+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x)))
✓	cost-diff	64	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
	cost-diff	0	(*.f64 a x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x)))
✓	accuracy	97.7%	(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
✓	accuracy	89.8%	(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
	accuracy	100.0%	(*.f64 a x)

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	162
1	28	154
2	58	154
3	124	154
4	199	154
5	238	154
6	259	154
7	337	154
8	396	154
9	404	154

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.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)

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

Results

29.0ms

256×

valid

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (61.6% of total)

ival-pow: 3.0ms (23.1% of total)

ival-add: 1.0ms (7.7% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Counts

4 → 42

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite122.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`log1p-expm1-u`
821×	`expm1-log1p-u`
455×	`log-prod`
354×	`fma-define`
172×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	121
1	168	113
2	2366	113

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

Inputs
(*.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 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))

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

simplify230.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

455×	`exp-prod`
396×	`distribute-lft-in`
351×	`distribute-rgt-in`
349×	`times-frac`
334×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	9401
1	941	8851
2	2807	8774
3	7495	8774

Stop Event

1×	node limit

Counts

214 → 234

Calls

Call 1

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

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

eval32.0ms (0.7%)

Compiler: Compiled 4545 to 861 computations (81.1% saved)

prune34.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	257	2	259
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	258	4	262

Accuracy

100.0%

Counts

262 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.7%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
▶	65.9%	(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) a) x))))
✓	66.7%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize176.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 a x))
	cost-diff	0	(*.f64 a x)
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
✓	cost-diff	-6272	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
✓	cost-diff	-6272	(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) a) x))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) a) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 a x))
	accuracy	100.0%	(*.f64 a x)
✓	accuracy	52.4%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) a) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) a)
✓	accuracy	99.9%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
✓	accuracy	97.7%	(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) a) x))))

Rules

601×	`unsub-neg`
492×	`fma-define`
465×	`distribute-lft-in`
413×	`distribute-rgt-in`
406×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	44	191
2	103	179
3	227	179
4	625	179
5	3325	179
6	5917	179
7	7407	179

Stop Event

1×	node limit

Calls

Call 1

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

Results

44.0ms	167×	1	valid
11.0ms	89×	0	valid

Compiler

Compiled 60 to 13 computations (78.3% saved)

Precisions

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

ival-mult: 17.0ms (61.2% of total)

ival-add: 4.0ms (14.4% of total)

backward-pass: 4.0ms (14.4% of total)

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

const: 1.0ms (3.6% of total)

series14.0ms (0.3%)

Counts

6 → 114

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x (* a (+ 1 (* (* 1/2 a) x))))
1.0ms	a	@	-inf	(* x (* a (+ 1 (* (* 1/2 a) x))))
1.0ms	a	@	0	(* x (* a (+ 1 (* (* 1/2 a) x))))
1.0ms	x	@	-inf	(* x (* a (+ 1 (* (* 1/2 a) x))))
0.0ms	x	@	inf	(* x (* a (+ 1 (* (* 1/2 a) x))))

rewrite163.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`fma-define`
730×	`log1p-expm1-u`
730×	`expm1-log1p-u`
628×	`log-prod`
282×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	150
1	253	126
2	3615	126

Stop Event

1×	node limit

Counts

6 → 343

Calls

Call 1

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

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

simplify258.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

529×	`cancel-sign-sub-inv`
398×	`distribute-lft-neg-in`
389×	`distribute-rgt-neg-in`
319×	`fma-neg`
315×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	647	14802
1	1365	13900
2	3931	13856

Stop Event

1×	node limit

Counts

457 → 448

Calls

Call 1

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

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

eval59.0ms (1.3%)

Compiler: Compiled 7241 to 1327 computations (81.7% saved)

prune67.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	471	2	473
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	471	6	477

Accuracy

100.0%

Counts

477 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.7%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
▶	18.3%	(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
▶	18.1%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	65.9%	(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) a) x))))
✓	66.7%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 49 to 33 computations (32.7% saved)

localize225.0ms (5%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	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))
✓	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	52.4%	(-.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))

Rules

2536×	`associate-+r-`
1008×	`fma-neg`
598×	`+-commutative`
477×	`fma-define`
426×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	98
1	32	74
2	49	68
3	60	68
4	121	68
5	281	68
6	616	68
7	1145	68
8	1370	68
9	1558	68
10	1612	68
11	1612	68
12	2531	68
13	3086	68
14	3664	68
15	3894	68
16	3894	68
17	3894	68
18	7337	68
19	7615	68
20	7624	68
21	7624	68

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.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)

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

Results

7.0ms	89×	0	valid
15.0ms	86×	1	valid
27.0ms	81×	2	valid

Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions

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

backward-pass: 11.0ms (39% of total)

ival-sub: 6.0ms (21.3% of total)

ival-div: 4.0ms (14.2% of total)

ival-mult: 4.0ms (14.2% of total)

ival-add: 3.0ms (10.6% of total)

const: 1.0ms (3.5% of total)

series8.0ms (0.2%)

Counts

5 → 60

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite117.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`log1p-expm1-u`
821×	`expm1-log1p-u`
758×	`prod-diff`
371×	`log-prod`
322×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	167	64
2	2390	58

Stop Event

1×	node limit

Counts

5 → 199

Calls

Call 1

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

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

simplify90.0ms (2%)

Algorithm

1×	egg-herbie

Rules

549×	`distribute-lft-in`
536×	`times-frac`
507×	`distribute-rgt-in`
210×	`fma-neg`
204×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	5919
1	826	5696
2	2127	5200

Stop Event

1×	node limit

Counts

259 → 234

Calls

Call 1

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

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

eval36.0ms (0.8%)

Compiler: Compiled 2874 to 697 computations (75.7% saved)

prune32.0ms (0.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	232	2	234
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	233	7	240

Accuracy

100.0%

Counts

240 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.7%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
	17.1%	(-.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
✓	18.3%	(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
✓	65.9%	(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) a) x))))
✓	66.7%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
	18.1%	#s(literal 0 binary64)

Compiler

Compiled 120 to 67 computations (44.2% saved)

regimes17.0ms (0.4%)

Counts

10 → 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 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) a) x))))
(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))))

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

Calls

5 calls:

4.0ms	a
4.0ms	x
3.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	(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)

regimes10.0ms (0.2%)

Counts

7 → 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 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) a) x))))

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.7%	1	`a`
66.7%	1	`x`
66.7%	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	x
1.0ms	a

Results

Accuracy	Segments	Branch
18.1%	1	`a`
18.1%	1	`x`

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)

soundness247.0ms (5.5%)

Rules

821×	`log1p-expm1-u`
821×	`expm1-log1p-u`
758×	`prod-diff`
371×	`log-prod`
322×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
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
0	14	88
1	167	64
2	2390	58

Stop Event

1×	fuel
1×	node limit
1×	saturated
1×	node limit

Compiler

Compiled 61 to 30 computations (50.8% saved)

preprocess32.0ms (0.7%)

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

expax (section 3.5)

analyze28.0ms (0.6%)

sample1.9s (41.6%)

preprocess51.0ms (1.1%)

explain100.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize27.0ms (0.6%)

series5.0ms (0.1%)

rewrite247.0ms (5.5%)

simplify83.0ms (1.8%)

eval16.0ms (0.4%)

prune14.0ms (0.3%)

localize61.0ms (1.4%)

series10.0ms (0.2%)

rewrite122.0ms (2.7%)

simplify230.0ms (5.1%)

eval32.0ms (0.7%)

prune34.0ms (0.8%)

localize176.0ms (3.9%)

series14.0ms (0.3%)

rewrite163.0ms (3.6%)

simplify258.0ms (5.7%)

eval59.0ms (1.3%)

prune67.0ms (1.5%)

localize225.0ms (5%)

series8.0ms (0.2%)

rewrite117.0ms (2.6%)

simplify90.0ms (2%)

eval36.0ms (0.8%)

prune32.0ms (0.7%)

regimes17.0ms (0.4%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

simplify2.0ms (0%)

soundness247.0ms (5.5%)

preprocess32.0ms (0.7%)

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	15	162
1	28	154
2	58	154
3	124	154
4	199	154
5	238	154
6	259	154
7	337	154
8	396	154
9	404	154

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	15	162
1	28	154
2	58	154
3	124	154
4	199	154
5	238	154
6	259	154
7	337	154
8	396	154
9	404	154

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	15	162
1	28	154
2	58	154
3	124	154
4	199	154
5	238	154
6	259	154
7	337	154
8	396	154
9	404	154