Metrics for expax (section 3.5)

analyze29.0ms (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 (28.8% of total)

ival-mult: 3.0ms (28.8% of total)

ival-sub: 2.0ms (19.2% of total)

ival->: 2.0ms (19.2% of total)

const: 0.0ms (0% of total)

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

sample1.6s (32.9%)

Results

1.1s	5342×	1	valid
152.0ms	2914×	0	valid
23.0ms	300×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 895.0ms

ival-exp: 408.0ms (45.6% of total)

ival-sub: 194.0ms (21.7% of total)

ival-mult: 146.0ms (16.3% of total)

ival->: 71.0ms (7.9% of total)

backward-pass: 61.0ms (6.8% of total)

const: 15.0ms (1.7% of total)

Bogosity

preprocess49.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort a x)

explain100.0ms (2.1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
119	1	(-2.390141591525514e-68 1.6813649934157021e-255)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
2	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`x`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`a`

Results

61.0ms	328×	1	valid
11.0ms	184×	0	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-exp: 15.0ms (42.8% of total)

ival-mult: 9.0ms (25.7% of total)

ival-sub: 5.0ms (14.3% of total)

backward-pass: 5.0ms (14.3% of total)

const: 1.0ms (2.9% 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
▶	99.9%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize26.0ms (0.5%)

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	99.9%	(expm1.f64 (*.f64 a x))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

12.0ms

256×

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (47.5% of total)

ival-expm1: 2.0ms (47.5% of total)

const: 0.0ms (0% of total)

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

series6.0ms (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	@	inf	(- (exp (* a x)) 1)
1.0ms	a	@	0	(- (exp (* a x)) 1)
1.0ms	a	@	inf	(* a x)
1.0ms	x	@	0	(- (exp (* a x)) 1)
0.0ms	x	@	inf	(* a x)

rewrite192.0ms (4%)

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 (1.7%)

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 (0.3%)

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

prune14.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Accuracy

100.0%

Counts

101 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.0%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
▶	66.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
▶	74.3%	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
▶	74.0%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize446.0ms (9.3%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(expm1.f64 (*.f64 a x))
✓	cost-diff	0	(log.f64 (expm1.f64 (*.f64 a x)))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
	cost-diff	0	(*.f64 a x)
	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(pow.f64 (*.f64 a x) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
✓	cost-diff	12864	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
	cost-diff	0	(*.f64 a x)
	cost-diff	0	(expm1.f64 (*.f64 a x))
✓	cost-diff	0	(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
	accuracy	100.0%	(expm1.f64 (*.f64 a x))
✓	accuracy	97.9%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
✓	accuracy	92.3%	(log.f64 (expm1.f64 (*.f64 a x)))
✓	accuracy	34.2%	(E.f64)
	accuracy	100.0%	(*.f64 a x)
	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
✓	accuracy	99.9%	(pow.f64 (*.f64 a x) #s(literal 3 binary64))
✓	accuracy	86.7%	(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
	accuracy	100.0%	(*.f64 a x)
	accuracy	100.0%	(expm1.f64 (*.f64 a x))
✓	accuracy	99.9%	(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))
✓	accuracy	86.4%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))

Rules

1083×	`unsub-neg`
488×	`sub-neg`
407×	`fma-define`
348×	`neg-sub0`
344×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	262
1	35	262
2	72	262
3	159	262
4	246	262
5	403	262
6	937	262
7	2843	262
8	5030	262
9	5909	262
10	6562	262
11	6862	262
12	6956	262
13	7004	262
14	7542	262
15	7729	262

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

46.0ms	174×	0	invalid
24.0ms	82×	0	valid

Compiler

Compiled 77 to 14 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-pow: 29.0ms (68.9% of total)

ival-expm1: 3.0ms (7.1% of total)

ival-cbrt: 3.0ms (7.1% of total)

ival-log: 2.0ms (4.7% of total)

ival-mult: 2.0ms (4.7% of total)

ival-e: 2.0ms (4.7% of total)

const: 0.0ms (0% of total)

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

series207.0ms (4.3%)

Counts

8 → 168

Calls

Call 1

Inputs
#<alt (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))>
#<alt (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))>
#<alt (pow.f64 (*.f64 a x) #s(literal 3 binary64))>
#<alt (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))>
#<alt (E.f64)>
#<alt (log.f64 (expm1.f64 (*.f64 a x)))>
#<alt (pow.f64 (E.f64) (log.f64 (expm1.f64 (*.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)))))))>
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#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x))))>
#<alt (+.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (log.f64 (E.f64)))))))>
#<alt (+.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (log.f64 (E.f64))))) (.f64 x (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (E.f64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64))))))))))))>
#<alt (+.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (log.f64 (E.f64))))) (.f64 x (+.f64 (.f64 x (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (log.f64 (E.f64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64))))))))))) (.f64 (exp.f64 (.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (E.f64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 2 binary64)))))))))))))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>
#<alt (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (log.f64 (E.f64)))>

Calls

42 calls:

Time	Variable		Point	Expression
71.0ms	a	@	-inf	(log (- (exp (* a x)) 1))
39.0ms	x	@	-inf	(log (- (exp (* a x)) 1))
31.0ms	a	@	inf	(log (- (exp (* a x)) 1))
15.0ms	a	@	inf	(pow (E) (log (- (exp (* a x)) 1)))
14.0ms	x	@	inf	(log (- (exp (* a x)) 1))

rewrite124.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`log1p-expm1-u`
641×	`expm1-log1p-u`
403×	`log-prod`
276×	`pow-prod-down`
237×	`pow-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	130
1	243	130
2	2149	130

Stop Event

1×	node limit

Counts

8 → 311

Calls

Call 1

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

Outputs
(+.f64 (pow.f64 (exp.f64 x) a) #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 x) a) #s(literal 1 binary64))
(.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64))
(.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 #s(literal 1 binary64) (log.f64 (expm1.f64 (.f64 a x)))) (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (cbrt.f64 (expm1.f64 (.f64 a x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) (E.f64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (expm1.f64 (.f64 a x))) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(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 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (/.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(.f64 (expm1.f64 (.f64 a x)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3 binary64)))
(.f64 (pow.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)) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 3/2 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (.f64 (expm1.f64 (.f64 a x)) (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 5/2 binary64)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))))
(exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (.f64 a x)))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.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 x) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a x))) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a x))
(.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 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) a))
(.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (.f64 (cbrt.f64 a) x))
(.f64 (sqrt.f64 (.f64 a x)) (sqrt.f64 (*.f64 a x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) a))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) x))
(.f64 (.f64 a (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a))
(.f64 (.f64 x (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
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(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(fma.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (/.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 (pow.f64 (exp.f64 x) a) #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 x) a) #s(literal 1 binary64))
(.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64))
(.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 #s(literal 1 binary64) (log.f64 (expm1.f64 (.f64 a x)))) (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (cbrt.f64 (expm1.f64 (.f64 a x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) (E.f64))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))

simplify477.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-define`
492×	`associate-r`
448×	`associate-l`
350×	`exp-prod`
348×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	722	12884916107
1	1804	12884915607
2	5881	12884915205

Stop Event

1×	node limit

Counts

479 → 335

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 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))))))))) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))))) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 5 binary64))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64))))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))))) (.f64 a (+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))))))))))))) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 3 binary64))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 a x)
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(*.f64 a x)
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 a x))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))))))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(+.f64 (log.f64 a) (log.f64 x))
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(.f64 (log.f64 (expm1.f64 (.f64 a x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (log.f64 (expm1.f64 (.f64 a x))))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1/3 binary64))
(.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(.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)))))
(.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64))
(pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (-.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (.f64 (log.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (expm1.f64 (*.f64 a x))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (log.f64 (expm1.f64 (.f64 a x))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(fma.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (/.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 (pow.f64 (exp.f64 x) a) #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 x) a) #s(literal 1 binary64))
(.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64))
(.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 #s(literal 1 binary64) (log.f64 (expm1.f64 (.f64 a x)))) (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (cbrt.f64 (expm1.f64 (.f64 a x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) (E.f64))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))

Outputs
(*.f64 a x)
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(.f64 a (fma.f64 a (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a #s(literal 1/6 binary64)) x) #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 (pow.f64 x #s(literal 4 binary64)) (.f64 a #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))) a))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (.f64 (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 (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 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 a x) #s(literal 3 binary64))
(.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/12 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)) (.f64 a (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 7/12 binary64) x)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/3 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)) (.f64 a (+.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/12 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/3 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 x (+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))))))))) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 a (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/12 binary64))) (.f64 x (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))))) (.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/12 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)) (.f64 a (+.f64 (fma.f64 a (+.f64 (fma.f64 x (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 7/12 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 5/24 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 7/12 binary64) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/3 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)) (.f64 a (+.f64 (fma.f64 a (+.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/12 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 5/24 binary64))) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/12 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/3 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 a x) #s(literal 3 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 3/2 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64))))
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(expm1.f64 (.f64 a (neg.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))))))
(expm1.f64 (.f64 a (.f64 x (neg.f64 (cbrt.f64 #s(literal -1 binary64))))))
(-.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (neg.f64 (.f64 a (.f64 x (cbrt.f64 #s(literal -1 binary64))))))
(expm1.f64 (.f64 a (neg.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))))))
(expm1.f64 (.f64 a (.f64 x (neg.f64 (cbrt.f64 #s(literal -1 binary64))))))
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(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 a x))))
(+.f64 (log.f64 a) (+.f64 (log.f64 x) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
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(+.f64 (log.f64 a) (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) (log.f64 x)))
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(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
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(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 a) (log.f64 x))))
(*.f64 a x)
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(expm1.f64 (*.f64 a x))
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(expm1.f64 (*.f64 a x))
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(expm1.f64 (*.f64 a x))
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(expm1.f64 (*.f64 a x))
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(expm1.f64 (*.f64 a x))
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(*.f64 a x)
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(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 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) #s(literal 3/2 binary64)))
(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 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 (.f64 a x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))

eval110.0ms (2.3%)

Compiler: Compiled 9386 to 1965 computations (79.1% saved)

prune96.0ms (2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	584	1	585
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	584	6	590

Accuracy

100.0%

Counts

590 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.0%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
▶	24.2%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
✓	66.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
✓	74.3%	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
✓	74.0%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))

Compiler

Compiled 47 to 34 computations (27.7% saved)

localize162.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 a x))
	cost-diff	-128	(*.f64 a x)
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 a x))
	accuracy	100.0%	(*.f64 a x)
✓	accuracy	57.7%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

20.0ms	165×	1	valid
5.0ms	91×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (37% of total)

ival-add: 2.0ms (18.5% of total)

ival-sub: 2.0ms (18.5% of total)

backward-pass: 2.0ms (18.5% of total)

const: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

2 → 42

Calls

Call 1

Inputs
#<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 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

12 calls:

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

rewrite96.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log1p-expm1-u`
574×	`expm1-log1p-u`
482×	`unpow-prod-down`
472×	`prod-diff`
401×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	135	28
2	1835	28

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

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

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

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-define`
652×	`times-frac`
455×	`distribute-lft-in`
419×	`distribute-rgt-in`
359×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	6002
1	694	5075
2	1825	5033

Stop Event

1×	node limit

Counts

217 → 213

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

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

eval26.0ms (0.5%)

Compiler: Compiled 3038 to 575 computations (81.1% saved)

prune36.0ms (0.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	236	8	244

Accuracy

100.0%

Counts

244 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.0%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
✓	24.2%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
▶	21.8%	(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
▶	22.8%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	66.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
✓	74.3%	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
✓	74.0%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))

Compiler

Compiled 63 to 45 computations (28.6% saved)

localize234.0ms (4.9%)

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	57.7%	(-.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

29.0ms	91×	2	valid
13.0ms	74×	1	valid
7.0ms	91×	0	valid

Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sub: 11.0ms (40.7% of total)

backward-pass: 5.0ms (18.5% of total)

ival-div: 4.0ms (14.8% of total)

ival-mult: 4.0ms (14.8% of total)

ival-add: 3.0ms (11.1% of total)

const: 1.0ms (3.7% 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	@	0	(- (* a (+ x (/ 1 a))) 1)
1.0ms	a	@	-inf	(- (* 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)

rewrite110.0ms (2.3%)

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))
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(*.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)))

simplify97.0ms (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))))
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(*.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 #s(literal 1 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 x #s(literal 2 binary64)) (pow.f64 a #s(literal -2 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 (+.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 #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 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)

eval30.0ms (0.6%)

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

prune33.0ms (0.7%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	231	3	234
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	232	10	242

Accuracy

100.0%

Counts

242 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.0%	(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
✓	24.2%	(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
	20.7%	(-.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
✓	21.8%	(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
	5.2%	(-.f64 (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x)))) #s(literal 1 binary64))
✓	66.2%	(*.f64 a x)
✓	99.9%	(expm1.f64 (*.f64 a x))
✓	74.3%	(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
✓	74.0%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
	22.8%	#s(literal 0 binary64)

Compiler

Compiled 161 to 90 computations (44.1% saved)

regimes20.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x)))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64))))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))

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

Calls

5 calls:

5.0ms	a
4.0ms	x
4.0ms	(*.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
99.9%	1	`a`
99.9%	1	`x`
99.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.9%	1	`(exp.f64 (*.f64 a x))`
99.9%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes9.0ms (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 (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x)))) #s(literal 1 binary64))

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.2%	1	`a`
66.2%	1	`x`
66.2%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	a
1.0ms	x

Results

Accuracy	Segments	Branch
22.8%	1	`a`
22.8%	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)

soundness253.0ms (5.3%)

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	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
0	10	30
1	82	30
2	894	30

Stop Event

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

Compiler

Compiled 61 to 30 computations (50.8% saved)

preprocess48.0ms (1%)

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

expax (section 3.5)

analyze29.0ms (0.6%)

sample1.6s (32.9%)

preprocess49.0ms (1%)

explain100.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize26.0ms (0.5%)

series6.0ms (0.1%)

rewrite192.0ms (4%)

simplify83.0ms (1.7%)

eval16.0ms (0.3%)

prune14.0ms (0.3%)

localize446.0ms (9.3%)

series207.0ms (4.3%)

rewrite124.0ms (2.6%)

simplify477.0ms (9.9%)

eval110.0ms (2.3%)

prune96.0ms (2%)

localize162.0ms (3.4%)

series3.0ms (0.1%)

rewrite96.0ms (2%)

simplify83.0ms (1.7%)

eval26.0ms (0.5%)

prune36.0ms (0.7%)

localize234.0ms (4.9%)

series8.0ms (0.2%)

rewrite110.0ms (2.3%)

simplify97.0ms (2%)

eval30.0ms (0.6%)

prune33.0ms (0.7%)

regimes20.0ms (0.4%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

simplify2.0ms (0%)

soundness253.0ms (5.3%)

preprocess48.0ms (1%)

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

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