Metrics for Hyperbolic arc-(co)tangent

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

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

ival-div: 1.0ms (52.9% of total)

ival-log: 1.0ms (52.9% of total)

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

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

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

const: 0.0ms (0% of total)

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

sample4.0s (52.8%)

Results

2.4s	5978×	1	valid
1.1s	1785×	2	valid
44.0ms	493×	0	valid
0.0ms	7×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-log: 1.2s (46.8% of total)

ival-div: 584.0ms (22.4% of total)

backward-pass: 380.0ms (14.6% of total)

ival-mult: 174.0ms (6.7% of total)

ival-add: 112.0ms (4.3% of total)

ival-sub: 109.0ms (4.2% of total)

const: 28.0ms (1.1% of total)

Bogosity

preprocess94.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

305×	`fma-define`
221×	`fma-neg`
96×	`times-frac`
79×	`div-sub`
50×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	148
1	44	140
2	69	140
3	118	140
4	214	140
5	451	140
6	1138	140
7	1432	140
8	1598	140

Stop Event

1×

saturated

Calls

Call 1

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

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

explain225.0ms (3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
0	-	-	`x`
0	-	-	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`

Results

112.0ms	382×	1	valid
51.0ms	102×	2	valid
6.0ms	28×	0	valid

Compiler

Compiled 95 to 29 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-log: 60.0ms (49.7% of total)

ival-div: 19.0ms (15.7% of total)

backward-pass: 18.0ms (14.9% of total)

ival-mult: 10.0ms (8.3% of total)

ival-sub: 6.0ms (5% of total)

ival-add: 6.0ms (5% of total)

const: 2.0ms (1.7% of total)

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.1%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize129.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	8.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Rules

131×	`fma-define`
114×	`fma-neg`
53×	`div-sub`
34×	`times-frac`
32×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	115
1	22	115
2	26	115
3	33	115
4	41	115
5	53	115
6	70	115
7	92	115
8	124	115
9	180	115
10	224	115
11	330	115
12	572	115
13	886	115
14	903	115

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

52.0ms	191×	1	valid
27.0ms	51×	2	valid
1.0ms	14×	0	valid

Compiler

Compiled 36 to 9 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-log: 32.0ms (54.9% of total)

backward-pass: 9.0ms (15.4% of total)

ival-mult: 6.0ms (10.3% of total)

ival-div: 4.0ms (6.9% of total)

ival-add: 4.0ms (6.9% of total)

ival-sub: 3.0ms (5.1% of total)

const: 1.0ms (1.7% of total)

series9.0ms (0.1%)

Counts

4 → 45

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))>
#<alt #s(literal -1 binary64)>
#<alt (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1 binary64)>
#<alt (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>

Calls

12 calls:

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

rewrite786.0ms (10.4%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log1p-expm1-u`
751×	`expm1-log1p-u`
676×	`unpow-prod-down`
376×	`log-prod`
187×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	99
1	152	91
2	2035	91

Stop Event

1×	node limit

Counts

4 → 306

Calls

Call 1

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

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

simplify201.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

529×	`exp-prod`
500×	`associate-r`
470×	`cube-prod`
442×	`associate-l`
347×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	838	13772
1	1752	12663
2	6215	12566

Stop Event

1×	node limit

Counts

351 → 488

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(log.f64 #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(log.f64 #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))
#s(literal -1 binary64)
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1 binary64)
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))))
#s(literal 1 binary64)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 0 binary64))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 #s(literal 1/3 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (log.f64 (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) (log.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (fma.f64 #s(literal 1 binary64) (log1p.f64 x) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64) (.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log1p.f64 x) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64) (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64) (.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) #s(literal 1 binary64))
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 1/3 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(.f64 #s(literal 2 binary64) (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
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(log1p.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) x)))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (hypot.f64 x (sqrt.f64 x)))
(hypot.f64 (hypot.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))

Outputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/5 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/7 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(log.f64 #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(log.f64 #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal -1 binary64)
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
#s(literal -1 binary64)
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x) #s(literal -1 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
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(+.f64 x #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))

eval66.0ms (0.9%)

Compiler: Compiled 9218 to 2038 computations (77.9% saved)

prune105.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	484	4	488
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	484	5	489

Accuracy

100.0%

Counts

489 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
▶	100.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	8.1%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	8.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
▶	99.4%	x

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize521.0ms (6.9%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(log1p.f64 (neg.f64 x))
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	99.8%	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(log1p.f64 (neg.f64 x))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))
✓	accuracy	8.1%	(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x)))

Rules

952×	`fma-neg`
858×	`fma-define`
589×	`div-sub`
384×	`sub-neg`
288×	`associate--r+`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	26	277
1	51	273
2	81	273
3	123	273
4	167	273
5	216	273
6	369	273
7	682	273
8	1164	264
9	1974	264
10	2896	264
11	3872	264
12	4043	264
13	4250	264
14	6061	264

Stop Event

1×	node limit

Calls

Call 1

Inputs
x
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
#s(literal 1/2 binary64)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(log1p.f64 x)
x
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
x
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/3 binary64)

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

Results

129.0ms	191×	1	valid
123.0ms	51×	2	valid
3.0ms	14×	0	valid

Compiler

Compiled 91 to 22 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-pow: 82.0ms (39.8% of total)

ival-log: 39.0ms (18.9% of total)

backward-pass: 22.0ms (10.7% of total)

ival-log1p: 20.0ms (9.7% of total)

ival-add: 13.0ms (6.3% of total)

ival-mult: 12.0ms (5.8% of total)

ival-div: 7.0ms (3.4% of total)

ival-sub: 6.0ms (2.9% of total)

ival-neg: 3.0ms (1.5% of total)

const: 2.0ms (1% of total)

series20.0ms (0.3%)

Counts

12 → 132

Calls

Call 1

Inputs
#<alt (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))>
#<alt (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))))>
#<alt (log1p.f64 x)>
#<alt (log1p.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))>

Outputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))>
#<alt #s(literal -1 binary64)>
#<alt (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1 binary64)>
#<alt (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (log.f64 #s(literal -1 binary64)))>
#<alt (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (log.f64 #s(literal -1 binary64)))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x)))>

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(- (log (+ 1 x)) (log (+ 1 (neg x))))
1.0ms	x	@	0	(* 1/2 (- (log (+ 1 x)) (log (+ 1 (neg x)))))
1.0ms	x	@	0	(* (pow x 3) 1/3)
0.0ms	x	@	inf	(* 1/2 (- (log (+ 1 x)) (log (+ 1 (neg x)))))
0.0ms	x	@	inf	(log (+ 1 (neg x)))

rewrite382.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`log1p-expm1-u`
935×	`expm1-log1p-u`
143×	`add-exp-log`
142×	`add-log-exp`
142×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	222
1	381	198
2	4973	198

Stop Event

1×	node limit

Counts

12 → 375

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 x)
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

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

simplify208.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

493×	`associate-r`
478×	`associate-l`
372×	`fma-define`
303×	`distribute-rgt-in`
303×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	780	9797
1	1853	8952
2	7685	8900

Stop Event

1×	node limit

Counts

507 → 535

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(log.f64 #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(log.f64 #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))))
#s(literal -1 binary64)
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1 binary64)
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
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(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x (cbrt.f64 #s(literal 1/3 binary64))) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x)
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))))
(+.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 2 binary64))
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))

Outputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/5 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (.f64 #s(literal 2/7 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/5 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/7 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64)))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
#s(literal 1 binary64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
#s(literal 1 binary64)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
#s(literal 1 binary64)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
#s(literal 1 binary64)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
#s(literal 1 binary64)
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
#s(literal 1 binary64)
(+.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 x))))
#s(literal 0 binary64)
(+.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))))) #s(literal 1 binary64))
#s(literal 0 binary64)
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#s(literal 0 binary64)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))) #s(literal 3 binary64))
#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 2 binary64)))
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#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))))))
#s(literal 0 binary64)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 3 binary64)))
#s(literal 0 binary64)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))))
#s(literal 0 binary64)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))))
#s(literal 0 binary64)
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))))
#s(literal 0 binary64)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))) #s(literal 1 binary64)))
#s(literal 0 binary64)
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(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 7 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 x))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 x #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
#s(literal 0 binary64)
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)))
#s(literal 0 binary64)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64) (log1p.f64 x)))
#s(literal 0 binary64)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (log1p.f64 x)))
#s(literal 0 binary64)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
#s(literal 0 binary64)
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))))
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
#s(literal 0 binary64)
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
#s(literal 0 binary64)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
#s(literal 0 binary64)
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
#s(literal 0 binary64)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 2 binary64)))
#s(literal 0 binary64)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
#s(literal 0 binary64)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
#s(literal 0 binary64)
(.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))))
#s(literal 0 binary64)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(literal 0 binary64)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
#s(literal 0 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(literal 0 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 0 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))))
#s(literal 0 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(literal 0 binary64)
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
#s(literal 0 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
#s(literal 0 binary64)
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
#s(literal 0 binary64)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 3 binary64))
#s(literal 0 binary64)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
#s(literal 0 binary64)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 2 binary64))
#s(literal 0 binary64)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
#s(literal 0 binary64)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 0 binary64))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
#s(literal 0 binary64)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 3 binary64)))
#s(literal 0 binary64)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
#s(literal 0 binary64)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
#s(literal 0 binary64)
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 1 binary64)))
#s(literal 0 binary64)
(fma.f64 #s(literal 1 binary64) (log1p.f64 x) (neg.f64 (log1p.f64 x)))
#s(literal 0 binary64)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
#s(literal 0 binary64)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
#s(literal 0 binary64)

eval155.0ms (2.1%)

Compiler: Compiled 8122 to 2014 computations (75.2% saved)

prune126.0ms (1.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	535	0	535
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	535	5	540

Accuracy

100.0%

Counts

540 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	8.1%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	8.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
✓	99.4%	x

Compiler

Compiled 94 to 60 computations (36.2% saved)

regimes9.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Calls

4 calls:

2.0ms	x
2.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes9.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))

Calls

4 calls:

2.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	x
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.7%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.7%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
4×	`+-commutative`
3×	`sub-neg`
2×	`neg-sub0`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	26	60
2	31	60
3	34	60
4	35	60

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
x

Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
x

soundness482.0ms (6.4%)

Rules

751×	`log1p-expm1-u`
751×	`expm1-log1p-u`
676×	`unpow-prod-down`
529×	`exp-prod`
500×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	99
1	152	91
2	2035	91
0	22	148
1	44	140
2	69	140
3	118	140
4	214	140
5	451	140
6	1138	140
7	1432	140
8	1598	140
0	838	13772
1	1752	12663
2	6215	12566

Stop Event

1×	done
1×	node limit
1×	saturated
1×	node limit

Compiler

Compiled 231 to 98 computations (57.6% saved)

preprocess29.0ms (0.4%)

Compiler: Compiled 60 to 42 computations (30% saved)

Hyperbolic arc-(co)tangent

analyze4.0ms (0.1%)

sample4.0s (52.8%)

preprocess94.0ms (1.2%)

explain225.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize129.0ms (1.7%)

series9.0ms (0.1%)

rewrite786.0ms (10.4%)

simplify201.0ms (2.7%)

eval66.0ms (0.9%)

prune105.0ms (1.4%)

localize521.0ms (6.9%)

series20.0ms (0.3%)

rewrite382.0ms (5.1%)

simplify208.0ms (2.7%)

eval155.0ms (2.1%)

prune126.0ms (1.7%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

simplify3.0ms (0%)

soundness482.0ms (6.4%)

preprocess29.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	115
1	22	115
2	26	115
3	33	115
4	41	115
5	53	115
6	70	115
7	92	115
8	124	115
9	180	115
10	224	115
11	330	115
12	572	115
13	886	115
14	903	115

Iter	Nodes	Cost
0	13	115
1	22	115
2	26	115
3	33	115
4	41	115
5	53	115
6	70	115
7	92	115
8	124	115
9	180	115
10	224	115
11	330	115
12	572	115
13	886	115
14	903	115

Iter	Nodes	Cost
0	13	115
1	22	115
2	26	115
3	33	115
4	41	115
5	53	115
6	70	115
7	92	115
8	124	115
9	180	115
10	224	115
11	330	115
12	572	115
13	886	115
14	903	115