Metrics for exp2 (problem 3.3.7)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

const: 0.0ms (0% of total)

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

ival-<=: 0.0ms (0% of total)

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

sample4.4s (44.6%)

Results

3.4s	5722×	2	valid
726.0ms	2382×	1	valid
11.0ms	152×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-exp: 2.1s (62.5% of total)

backward-pass: 575.0ms (16.8% of total)

ival-fabs: 202.0ms (5.9% of total)

ival-sub: 153.0ms (4.5% of total)

ival-add: 136.0ms (4% of total)

ival-<=: 115.0ms (3.4% of total)

ival-neg: 85.0ms (2.5% of total)

const: 18.0ms (0.5% of total)

Bogosity

preprocess55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-neg`
65×	`fma-define`
36×	`sub-neg`
25×	`associate--r+`
24×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	45	128
2	105	124
3	248	124
4	465	124
5	604	124
6	637	124
7	642	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 (neg.f64 x))))
(neg.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 (neg.f64 x)))))

Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 (neg.f64 x))))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(neg.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(-.f64 (neg.f64 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(-.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(-.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))

Symmetry

(abs x)

explain236.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
122	0	-	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`x`
0	2	(628.888188633848)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`

Results

167.0ms	358×	2	valid
27.0ms	140×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-exp: 101.0ms (70.9% of total)

backward-pass: 16.0ms (11.2% of total)

ival-sub: 11.0ms (7.7% of total)

ival-add: 7.0ms (4.9% of total)

ival-neg: 5.0ms (3.5% of total)

const: 1.0ms (0.7% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 (neg.f64 x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	cost-diff	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Rules

105×	`fma-neg`
53×	`fma-define`
32×	`sub-neg`
30×	`distribute-rgt-in`
23×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	78
1	24	78
2	43	78
3	66	78
4	113	78
5	190	78
6	329	78
7	444	78
8	526	78
9	548	78
10	550	78

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize116.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.9%	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	accuracy	56.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

80.0ms	179×	2	valid
21.0ms	70×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-exp: 60.0ms (76.2% of total)

backward-pass: 8.0ms (10.2% of total)

ival-sub: 4.0ms (5.1% of total)

ival-add: 4.0ms (5.1% of total)

ival-neg: 3.0ms (3.8% of total)

const: 1.0ms (1.3% of total)

series4.0ms (0%)

Counts

4 → 28

Calls

Call 1

Inputs
#<alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>

Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (- (exp x) 2) (exp (neg x)))
0.0ms	x	@	inf	(+ (- (exp x) 2) (exp (neg x)))
0.0ms	x	@	-inf	(+ (- (exp x) 2) (exp (neg x)))
0.0ms	x	@	0	(- (exp x) 2)
0.0ms	x	@	0	(exp (neg x))

rewrite222.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`log1p-expm1-u`
645×	`expm1-log1p-u`
536×	`prod-diff`
460×	`unpow-prod-down`
294×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	152	57
2	2205	50

Stop Event

1×	node limit

Counts

4 → 331

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))

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

simplify173.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

439×	`fma-neg`
427×	`times-frac`
412×	`cancel-sign-sub-inv`
368×	`unswap-sqr`
257×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	599	8589945584
1	1161	8589944774
2	3657	8589944569

Stop Event

1×	node limit

Counts

359 → 351

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) (pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (exp.f64 x) (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (exp.f64 x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (exp.f64 x) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))

Outputs
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))))
(*.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 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/20160 binary64))))))))
(*.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)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))
(+.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (exp.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (exp.f64 x)))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) (pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (exp.f64 x)))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (exp.f64 x)))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
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(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))))
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(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(exp.f64 x)
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(exp.f64 x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(exp.f64 (neg.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(exp.f64 (neg.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(exp.f64 (neg.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(exp.f64 (neg.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (E.f64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (E.f64) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (E.f64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (E.f64) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(exp.f64 x)
(log.f64 (exp.f64 (exp.f64 x)))
(exp.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 x))))
(exp.f64 x)
(cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(exp.f64 x)
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(exp.f64 x)

eval40.0ms (0.4%)

Compiler: Compiled 5557 to 1178 computations (78.8% saved)

prune65.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	343	8	351
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	343	9	352

Accuracy

100.0%

Counts

352 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.7%	(pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
▶	98.0%	(pow.f64 x #s(literal 2 binary64))
	56.4%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶	98.5%	(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
▶	55.8%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (exp.f64 (neg.f64 x)))
✓	56.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	98.8%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))))
	98.5%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
	56.4%	(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))

Compiler

Compiled 195 to 147 computations (24.6% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (exp.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (exp.f64 (neg.f64 x)))
✓	cost-diff	-6272	(pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(cosh.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
✓	cost-diff	6656	(pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	-6272	(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	cost-diff	0	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))
✓	cost-diff	-6272	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))

Rules

788×	`fma-define`
477×	`distribute-rgt-out`
404×	`associate-/l/`
359×	`distribute-lft-in`
351×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	616
1	83	564
2	202	550
3	599	550
4	1571	550
5	3949	550
6	5720	550
7	7149	550

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))
#s(literal 1/12 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
#s(literal 1 binary64)
(/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal -4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))))
(*.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 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))
(pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
#s(literal 1 binary64)
(/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal -4 binary64)))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(exp.f64 x)
x
#s(literal 2 binary64)
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal -4 binary64))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
#s(literal -4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize611.0ms (6.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
✓	accuracy	99.3%	(/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
✓	accuracy	56.5%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	99.8%	(pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))
✓	accuracy	68.7%	(pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	56.4%	(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	accuracy	99.9%	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))
✓	accuracy	100.0%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))))
✓	accuracy	99.8%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))
✓	accuracy	99.7%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))

Results

470.0ms	179×	2	valid
69.0ms	70×	1	valid
3.0ms	7×	0	valid

Compiler

Compiled 193 to 34 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 410.0ms

ival-pow: 119.0ms (29.1% of total)

ival-exp: 59.0ms (14.4% of total)

ival-div: 56.0ms (13.7% of total)

ival-cosh: 46.0ms (11.2% of total)

backward-pass: 42.0ms (10.3% of total)

ival-mult: 29.0ms (7.1% of total)

ival-add: 29.0ms (7.1% of total)

...c/correct-round.rkt:121:19: 25.0ms (6.1% of total)

const: 3.0ms (0.7% of total)

ival-neg: 3.0ms (0.7% of total)

series41.0ms (0.4%)

Counts

18 → 180

Calls

Call 1

Inputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (pow.f64 x #s(literal 4 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (cosh.f64 x))>
#<alt (cosh.f64 x)>
#<alt (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))>
#<alt (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))>
#<alt (+.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))>
#<alt (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))>

Outputs
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/12 binary64)>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (pow.f64 x #s(literal 6 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 7/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/240 binary64) (.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))>
#<alt (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64))>
#<alt (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))>
#<alt (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))>
#<alt (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))>
#<alt (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))>
#<alt (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))>
#<alt (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))>
#<alt (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))>
#<alt (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 #s(literal -3/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -13/6 binary64) x) #s(literal 3/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))>
#<alt #s(literal 3 binary64)>
#<alt (+.f64 #s(literal 3 binary64) x)>
#<alt (+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
#<alt (+.f64 #s(literal 2 binary64) (exp.f64 x))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt #s(literal -3 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))) #s(literal 3 binary64))>
#<alt (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))>

Calls

54 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ (+ (exp x) 2) (+ (pow (exp x) 2) -4))
4.0ms	x	@	-inf	(pow (pow (+ (* 2 (cosh x)) -2) 3) 1/3)
3.0ms	x	@	inf	(pow (pow (+ (* 2 (cosh x)) -2) 3) 1/3)
2.0ms	x	@	-inf	(+ (/ 1 (/ (+ (exp x) 2) (+ (pow (exp x) 2) -4))) (exp (neg x)))
2.0ms	x	@	inf	(+ (/ 1 (/ (+ (exp x) 2) (+ (pow (exp x) 2) -4))) (exp (neg x)))

rewrite260.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

270×	`log1p-expm1-u`
270×	`expm1-log1p-u`
257×	`add-exp-log`
256×	`add-log-exp`
255×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	456
1	609	348

Stop Event

1×	node limit

Counts

18 → 516

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 x)
(pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 (.f64 x #s(literal 1 binary64)) x)
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 x #s(literal -1 binary64)) x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/360 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/129600 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/360 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
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(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal -16 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal -16 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal -16 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal -64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal -4 binary64))

simplify275.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

571×	`associate-l`
430×	`fma-define`
286×	`*-commutative`
232×	`distribute-rgt-in`
229×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1140	22313
1	2566	22313

Stop Event

1×	node limit

Counts

696 → 551

Calls

Call 1

Inputs
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1/12 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(pow.f64 x #s(literal 6 binary64))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 7/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/240 binary64) (.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal -16 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal -64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal -4 binary64))

Outputs
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
#s(literal 1/12 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/20160 binary64))))))))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal -16 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal -16 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal -16 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -64 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))

eval79.0ms (0.8%)

Compiler: Compiled 11442 to 2308 computations (79.8% saved)

prune183.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	648	7	655
Fresh	1	2	3
Picked	5	0	5
Done	1	0	1
Total	655	9	664

Accuracy

100.0%

Counts

664 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 x x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
▶	98.5%	(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
▶	56.4%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶	56.5%	(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
	98.5%	(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
	98.8%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
	98.5%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
▶	98.0%	(*.f64 x x)
	54.4%	(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))

Compiler

Compiled 188 to 134 computations (28.7% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
✓	cost-diff	64	(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
✓	cost-diff	512	(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
✓	cost-diff	-6336	(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
	cost-diff	0	(pow.f64 x #s(literal 4 binary64))
	cost-diff	0	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
	cost-diff	0	(cosh.f64 x)
	cost-diff	0	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
✓	cost-diff	-6336	(*.f64 x x)
	cost-diff	0	(pow.f64 x #s(literal 4 binary64))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))

Rules

752×	`fma-neg`
511×	`fma-define`
325×	`associate-*r/`
307×	`distribute-lft-in`
303×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	388
1	65	364
2	107	358
3	225	358
4	449	358
5	733	358
6	1101	358
7	2183	358
8	6097	358

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
x
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 x x)
x
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
#s(literal 1 binary64)
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(literal -1 binary64)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal -2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(fma.f64 x x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
x
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
#s(literal 1 binary64)
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
#s(literal -1 binary64)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(exp.f64 x)
x
#s(literal -2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize387.0ms (3.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
✓	accuracy	99.9%	(+.f64 (exp.f64 x) #s(literal -2 binary64))
✓	accuracy	56.5%	(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
	accuracy	99.9%	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	56.4%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	accuracy	99.9%	(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))

Results

281.0ms	179×	2	valid
54.0ms	70×	1	valid
2.0ms	7×	0	valid

Compiler

Compiled 129 to 28 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-exp: 55.0ms (21.5% of total)

backward-pass: 48.0ms (18.8% of total)

ival-cosh: 44.0ms (17.2% of total)

ival-fma: 21.0ms (8.2% of total)

ival-pow: 19.0ms (7.4% of total)

...c/correct-round.rkt:121:19: 17.0ms (6.6% of total)

ival-mult: 15.0ms (5.9% of total)

ival-add: 12.0ms (4.7% of total)

ival-div: 11.0ms (4.3% of total)

ival-neg: 8.0ms (3.1% of total)

ival-sub: 4.0ms (1.6% of total)

const: 2.0ms (0.8% of total)

series12.0ms (0.1%)

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))>
#<alt (*.f64 x x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))>
#<alt (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))>
#<alt (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))>
#<alt (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))>
#<alt (+.f64 (exp.f64 x) #s(literal -2 binary64))>

Outputs
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/12 binary64)>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 #s(literal -3/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -13/6 binary64) x) #s(literal 3/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 13/6 binary64) x))))))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ -1 (+ (exp x) -2))
1.0ms	x	@	inf	(/ -1 (+ (exp x) -2))
0.0ms	x	@	inf	(neg (/ -1 (+ (exp x) -2)))
0.0ms	x	@	-inf	(neg (/ -1 (+ (exp x) -2)))
0.0ms	x	@	inf	(* (+ (* (pow x 2) 1/360) 1/12) (pow x 4))

rewrite213.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`log1p-expm1-u`
494×	`expm1-log1p-u`
182×	`add-exp-log`
182×	`add-log-exp`
181×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	242
1	438	202
2	5816	202

Stop Event

1×	node limit

Counts

10 → 333

Calls

Call 1

Inputs
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 (exp.f64 x) #s(literal -2 binary64))

Outputs
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) #s(literal 1 binary64)) #s(literal 1/12 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))) #s(literal 1/144 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal 4 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -4 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))))
(pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(.f64 (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (hypot.f64 x (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/12 binary64)))) (hypot.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/144 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(neg.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -2 binary64))

simplify293.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

734×	`distribute-lft-in`
343×	`cancel-sign-sub-inv`
322×	`fma-neg`
221×	`distribute-lft-neg-in`
212×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	599	12329
1	1334	11156
2	4134	10832

Stop Event

1×	node limit

Counts

453 → 387

Calls

Call 1

Inputs
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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#s(literal 1/12 binary64)
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(/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(neg.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -2 binary64))

Outputs
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1/12 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/20160 binary64))))))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 #s(literal 2 binary64) (exp.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 #s(literal 2 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 #s(literal 2 binary64) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 2 binary64) (exp.f64 x))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(neg.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 #s(literal 2 binary64) (exp.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -2 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal -2 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -2 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))

eval65.0ms (0.6%)

Compiler: Compiled 7633 to 1678 computations (78% saved)

prune62.0ms (0.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	514	3	517
Fresh	0	4	4
Picked	2	3	5
Done	0	0	0
Total	516	10	526

Accuracy

100.0%

Counts

526 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
✓	98.5%	(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	56.4%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
	56.5%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x)))
▶	98.5%	(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
	98.8%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
▶	98.5%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
✓	98.0%	(*.f64 x x)
▶	54.4%	(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
▶	4.2%	#s(literal 2 binary64)

Compiler

Compiled 170 to 119 computations (30% saved)

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
✓	cost-diff	-6144	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	-12608	(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
	cost-diff	-6336	(*.f64 x x)
	cost-diff	0	(pow.f64 x #s(literal 4 binary64))
	cost-diff	0	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	cost-diff	-6336	(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
	cost-diff	0	(pow.f64 x #s(literal 4 binary64))

Rules

286×	`fma-define`
98×	`associate-r`
60×	`associate-l`
37×	`distribute-lft-out`
30×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	315
1	50	305
2	89	302
3	192	302
4	378	302
5	663	302
6	752	302
7	754	302

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
x
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 x x)
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)

Outputs
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
x
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)

localize108.0ms (1.1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
✓	accuracy	100.0%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
✓	accuracy	99.7%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
	accuracy	99.9%	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 6 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	accuracy	99.9%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))

Results

77.0ms

256×

valid

Compiler

Compiled 106 to 21 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-pow: 16.0ms (31.3% of total)

ival-fma: 15.0ms (29.3% of total)

ival-mult: 11.0ms (21.5% of total)

...c/correct-round.rkt:121:19: 7.0ms (13.7% of total)

ival-add: 2.0ms (3.9% of total)

const: 1.0ms (2% of total)

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

series9.0ms (0.1%)

Counts

8 → 72

Calls

Call 1

Inputs
#<alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (pow.f64 x #s(literal 6 binary64))>
#<alt (+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))>

Outputs
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/12 binary64)>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* 1/360 (pow x 6))
0.0ms	x	@	inf	(* (pow x 2) (+ 1 (* (pow x 2) 1/12)))
0.0ms	x	@	0	(* (pow x 2) (+ 1 (* (pow x 2) 1/12)))
0.0ms	x	@	inf	(* (pow x 2) 1/12)
0.0ms	x	@	inf	(* 1/360 (pow x 6))

rewrite167.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`log1p-expm1-u`
733×	`expm1-log1p-u`
636×	`log-prod`
609×	`fma-define`
251×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	175
1	313	165
2	3895	165

Stop Event

1×	node limit

Counts

8 → 321

Calls

Call 1

Inputs
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))

Outputs
(+.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))
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(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/12 binary64))) (.f64 x (sqrt.f64 #s(literal 1/12 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))

simplify296.0ms (3%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-neg`
315×	`exp-prod`
248×	`sub-neg`
221×	`associate-r`
209×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	550	13368
1	1092	13146
2	2885	12376
3	5583	12376

Stop Event

1×	node limit

Counts

393 → 333

Calls

Call 1

Inputs
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1/12 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/360 binary64)) (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/12 binary64))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/360 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/12 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/360 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/129600 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/129600 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/360 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/360 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/360 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/360 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) (log.f64 (exp.f64 #s(literal 1/12 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)) #s(literal 1 binary64)) #s(literal 1/12 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
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(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64))) (.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/12 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/12 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/12 binary64))) (.f64 (*.f64 x (sqrt.f64 #s(literal 1/12 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 1/12 binary64))) x) (.f64 (.f64 x (sqrt.f64 #s(literal 1/12 binary64))) x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal 1/12 binary64)))) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/12 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)) x) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (sqrt.f64 #s(literal 1/12 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/12 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/12 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/12 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/12 binary64))) (.f64 x (sqrt.f64 #s(literal 1/12 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))

Outputs
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/12 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))

eval75.0ms (0.8%)

Compiler: Compiled 7180 to 1289 computations (82% saved)

prune61.0ms (0.6%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	467	1	468
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	468	10	478

Accuracy

100.0%

Counts

478 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
✓	98.5%	(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	56.4%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
	56.5%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x)))
✓	98.5%	(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
	98.8%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
	98.5%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓	98.0%	(*.f64 x x)
✓	54.4%	(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
✓	4.2%	#s(literal 2 binary64)

Compiler

Compiled 294 to 139 computations (52.7% saved)

regimes13.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))))
(fma.f64 x x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (exp.f64 (neg.f64 x)))

Outputs
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))

Calls

2 calls:

8.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))

Outputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))

Calls

2 calls:

5.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))

Outputs
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))

Calls

2 calls:

6.0ms	x
3.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Outputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))

Calls

2 calls:

3.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))

Outputs
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))

Outputs
(*.f64 x x)
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))

Outputs
(*.f64 x x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
4.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.7726956452476858e-8	0.0032607299860475214

Results

25.0ms

144×

valid

Compiler

Compiled 130 to 91 computations (30% saved)

Precisions

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

ival-exp: 6.0ms (49.6% of total)

ival-sub: 2.0ms (16.5% of total)

backward-pass: 2.0ms (16.5% of total)

ival-add: 1.0ms (8.3% of total)

ival-neg: 1.0ms (8.3% of total)

const: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
6×	`+-commutative`
3×	`1-exp`
2×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	274
1	57	274
2	61	274
3	63	274
4	64	274

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 x x)
#s(literal 2 binary64)

Outputs
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 x x)
#s(literal 2 binary64)

soundness1.0s (10.2%)

Rules

1050×	`log1p-expm1-u`
734×	`distribute-lft-in`
645×	`log1p-expm1-u`
645×	`expm1-log1p-u`
536×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	152	57
2	2205	50
0	599	8589945584
1	1161	8589944774
2	3657	8589944569
0	599	12329
1	1334	11156
2	4134	10832
0	32	242
1	438	202
2	5816	202
0	38	456
1	609	348

Stop Event

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

Compiler

Compiled 1216 to 369 computations (69.7% saved)

preprocess85.0ms (0.9%)

Compiler: Compiled 222 to 104 computations (53.2% saved)

Iter	Nodes	Cost
0	12	78
1	24	78
2	43	78
3	66	78
4	113	78
5	190	78
6	329	78
7	444	78
8	526	78
9	548	78
10	550	78

Iter	Nodes	Cost
0	12	78
1	24	78
2	43	78
3	66	78
4	113	78
5	190	78
6	329	78
7	444	78
8	526	78
9	548	78
10	550	78

analyze0.0ms (0%)

sample4.4s (44.6%)

preprocess55.0ms (0.5%)

explain236.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.3%)

localize116.0ms (1.2%)

series4.0ms (0%)

rewrite222.0ms (2.2%)

simplify173.0ms (1.7%)

eval40.0ms (0.4%)

prune65.0ms (0.7%)

simplify94.0ms (0.9%)

localize611.0ms (6.1%)

series41.0ms (0.4%)

rewrite260.0ms (2.6%)

simplify275.0ms (2.8%)

eval79.0ms (0.8%)

prune183.0ms (1.8%)

simplify80.0ms (0.8%)

localize387.0ms (3.9%)

series12.0ms (0.1%)

rewrite213.0ms (2.1%)

simplify293.0ms (2.9%)

eval65.0ms (0.6%)

prune62.0ms (0.6%)

simplify28.0ms (0.3%)

localize108.0ms (1.1%)

series9.0ms (0.1%)

rewrite167.0ms (1.7%)

simplify296.0ms (3%)

eval75.0ms (0.8%)

prune61.0ms (0.6%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch32.0ms (0.3%)

simplify6.0ms (0.1%)

soundness1.0s (10.2%)

preprocess85.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	78
1	24	78
2	43	78
3	66	78
4	113	78
5	190	78
6	329	78
7	444	78
8	526	78
9	548	78
10	550	78