Metrics for sqrtexp (problem 3.4.4)

analyze147.0ms (2.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
56.3%	56.2%	43.7%	0%	0%	0%	0%	6
56.3%	56.2%	43.7%	0%	0%	0%	0%	7
56.3%	56.2%	43.7%	0%	0%	0%	0%	8
57%	57%	42.9%	0%	0%	0%	0%	9
57%	57%	42.9%	0%	0%	0%	0%	10
57.1%	57.1%	42.9%	0%	0%	0%	0%	11
57.2%	57.1%	42.8%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.3s (41.2%)

Results

1.2s	2685×	body	1024	valid
483.0ms	3945×	body	256	valid
304.0ms	1370×	body	512	valid
227.0ms	2533×	body	256	unsamplable
91.0ms	205×	body	2048	valid
6.0ms	51×	body	256	infinite

Bogosity

preprocess190.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate-/l*`
1124×	`associate-r`
1042×	`associate-/r*`
892×	`associate-l`
684×	`fma-def`

Problems

175×	`(-.f64 (exp.f64 (*.f64 2 x)) 1)`
75×	No Errors
3×	`(-.f64 (exp.f64 x) 1)`
3×	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	53	136
2	85	136
3	165	136
4	387	108
5	1518	84

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1))))

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x))))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1))))
(neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x)))))
(neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x)))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 1)))
(neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x)))))

Compiler

Compiled 60 to 45 computations (25% saved)

eval1.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.5%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
▶	98.8%	(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
▶	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	30.5%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
▶	98.8%	(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
▶	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 56 to 46 computations (17.9% saved)

localize347.0ms (6.1%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓	99.0%	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
✓	35.0%	(-.f64 (exp.f64 (*.f64 2 x)) 1)
✓	35.0%	(-.f64 (exp.f64 x) 1)
✓	100.0%	(expm1.f64 x)
✓	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
✓	99.0%	(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	100.0%	(+.f64 1 (exp.f64 x))

Compiler

Compiled 86 to 56 computations (34.9% saved)

series6.0ms (0.1%)

Counts

9 → 60

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
1.0ms	x	@	0	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))

rewrite270.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`prod-diff`
996×	`log1p-expm1-u`
493×	`expm1-log1p-u`
308×	`expm1-udef`
308×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	126
1	262	126
2	3330	126

Stop Event

1×	node limit

Counts

9 → 529

Calls

Call 1

Inputs
(+.f64 1 (exp.f64 x))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 (*.f64 2 x)) 1)
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Outputs
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (.f64 x 2)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (.f64 x 2)) (cbrt.f64 (expm1.f64 x))))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (.f64 x 2)) (sqrt.f64 (expm1.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(.f64 (/.f64 (expm1.f64 (.f64 x 2)) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 (.f64 x 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 (expm1.f64 x) (sqrt.f64 (expm1.f64 (.f64 x 2)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (expm1.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 x 2) 3)) -1) (.f64 (expm1.f64 x) (+.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 x 2)) 1) (pow.f64 (exp.f64 x) 2))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 x 2)) -1) (.f64 (expm1.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (expm1.f64 x)) (pow.f64 (expm1.f64 x) 2))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x 2) 3)) -1) 1) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 2) (*.f64 x 2)) 1) (pow.f64 (exp.f64 x) 2)) (expm1.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 x 2)) -1) 1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) 3) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))) (+.f64 (.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))) (.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (expm1.f64 (.f64 x 2)))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x 2) 3)) -1) (/.f64 1 (expm1.f64 x))) (+.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 x 2)) 1) (pow.f64 (exp.f64 x) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 x 2)) -1) (/.f64 1 (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (expm1.f64 (*.f64 x 2)) 1) (expm1.f64 x))
(/.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
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(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

simplify311.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1102×	`fma-neg`
1088×	`times-frac`
624×	`associate-r`
608×	`associate-l`
514×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	615	35028
1	1420	28782
2	6769	28519

Stop Event

1×	node limit

Counts

589 → 431

Calls

Call 1

Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (.f64 x 2)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (.f64 x 2)) (cbrt.f64 (expm1.f64 x))))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (.f64 x 2)) (sqrt.f64 (expm1.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(.f64 (/.f64 (expm1.f64 (.f64 x 2)) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 (.f64 x 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 (expm1.f64 x) (sqrt.f64 (expm1.f64 (.f64 x 2)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (expm1.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 x 2) 3)) -1) (.f64 (expm1.f64 x) (+.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 x 2)) 1) (pow.f64 (exp.f64 x) 2))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 x 2)) -1) (.f64 (expm1.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (expm1.f64 x)) (pow.f64 (expm1.f64 x) 2))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x 2) 3)) -1) 1) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 2) (*.f64 x 2)) 1) (pow.f64 (exp.f64 x) 2)) (expm1.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 x 2)) -1) 1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) 3) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))) (+.f64 (.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))) (.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (expm1.f64 (.f64 x 2)))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x 2) 3)) -1) (/.f64 1 (expm1.f64 x))) (+.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 x 2)) 1) (pow.f64 (exp.f64 x) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 2) (.f64 x 2)) -1) (/.f64 1 (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (expm1.f64 (*.f64 x 2)) 1) (expm1.f64 x))
(/.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(.f64 (/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(.f64 (/.f64 (expm1.f64 (.f64 x 2)) (expm1.f64 (*.f64 x 2))) (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 2) (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 2) (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(.f64 2 (.f64 (+.f64 x 1) x))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(fma.f64 4/3 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 (pow.f64 x 3) 4/3 (.f64 2 (.f64 (+.f64 x 1) x)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 4/3 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 2)))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 3) 4/3 (.f64 2 (.f64 (+.f64 x 1) x))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 2) (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(+.f64 1 (exp.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (expm1.f64 x)))
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(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(fabs.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 1 (exp.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 2 x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(.f64 (sqrt.f64 (expm1.f64 (.f64 2 x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 2 x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 2 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 2 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 2 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(.f64 1 (/.f64 (sqrt.f64 (expm1.f64 (.f64 2 x))) (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval206.0ms (3.6%)

Compiler: Compiled 11695 to 7822 computations (33.1% saved)

prune75.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	427	4	431
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	429	5	434

Accuracy

100.0%

Counts

434 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
▶	69.8%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	75.3%	(sqrt.f64 2)
▶	98.9%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
▶	98.9%	(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
▶	69.8%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	75.3%	(sqrt.f64 2)
▶	98.9%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 62 to 54 computations (12.9% saved)

localize93.0ms (1.6%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(/.f64 1 (+.f64 1 (exp.f64 x)))
✓	98.9%	(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
✓	98.9%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
✓	98.9%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 62 to 38 computations (38.7% saved)

series46.0ms (0.8%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
17.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
1.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
0.0ms	x	@	inf	(/.f64 1 (+.f64 1 (exp.f64 x)))

rewrite86.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log-prod`
714×	`log1p-expm1-u`
714×	`expm1-log1p-u`
496×	`pow-prod-down`
448×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	202	68
2	2408	68

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))

Outputs
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) (.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(+.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x))) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)) (*.f64 1/4 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 5/6)) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(-.f64 (log1p.f64 (exp.f64 x)) 0)
(-.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 -1/2 (log1p.f64 (exp.f64 x))))
(-.f64 0 (neg.f64 (log1p.f64 (exp.f64 x))))
(-.f64 0 (log.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) 2)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 x 3))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (exp.f64 (.f64 x 3))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(-.f64 (+.f64 (log.f64 -1) (log1p.f64 (exp.f64 x))) (log.f64 -1))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 2 x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) -1)) (+.f64 (log.f64 -1) (.f64 -1/2 (log1p.f64 (exp.f64 x)))))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (+.f64 (log.f64 -1) (.f64 -1/2 (log1p.f64 (exp.f64 x)))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(.f64 1/2 (.f64 2 (log1p.f64 (exp.f64 x))))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 -1 (neg.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 3 (.f64 1/3 (log1p.f64 (exp.f64 x))))
(.f64 2 (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(.f64 -2 (.f64 -1/2 (log1p.f64 (exp.f64 x))))
(.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(neg.f64 (log.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) 2)))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 x 3))))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(log.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (+.f64 1 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(fma.f64 (log1p.f64 (exp.f64 x)) 1/2 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 1 (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 1 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 -1 (.f64 -1/2 (log1p.f64 (exp.f64 x))) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4)) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (.f64 1/2 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(/.f64 1 (neg.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/6))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) -1/4))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) -1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3/2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))) -3/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/6) -3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2) -1/4)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3) -1/6)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3/2) -1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) -2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(pow.f64 (exp.f64 1) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))) -1)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 0 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) -1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3/2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))) -3/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/6) -3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2) -1/4)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3) -1/6)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3/2) -1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) -2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(pow.f64 (exp.f64 1) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))) -1)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) -1/2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) -1/2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) -1))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (.f64 (.f64 3 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1/3))
(exp.f64 (.f64 (log.f64 (exp.f64 1)) (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(exp.f64 (*.f64 (log.f64 (exp.f64 1/2)) (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 0 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) 3) (pow.f64 (+.f64 (exp.f64 x) 1) -1/4))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 5/6) (pow.f64 (+.f64 (exp.f64 x) 1) -1/6))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) -2) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 x 3)))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) -2)
(pow.f64 (+.f64 (exp.f64 x) 1) -1)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) -3)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/6) 6)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3/2) 2/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) 4)
(pow.f64 (exp.f64 1) (*.f64 (log1p.f64 (exp.f64 x)) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) -1))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) -1))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))

simplify106.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1568×	`fma-neg`
934×	`exp-prod`
930×	`times-frac`
918×	`log-prod`
656×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	4294973704
1	1091	6233
2	3972	6215

Stop Event

1×	node limit

Counts

274 → 270

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 7/384 (.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (+.f64 (.f64 -1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3)))))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) (.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(+.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x))) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)) (*.f64 1/4 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 5/6)) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(-.f64 (log1p.f64 (exp.f64 x)) 0)
(-.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 -1/2 (log1p.f64 (exp.f64 x))))
(-.f64 0 (neg.f64 (log1p.f64 (exp.f64 x))))
(-.f64 0 (log.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) 2)))
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(*.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 5/6) (pow.f64 (+.f64 (exp.f64 x) 1) -1/6))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) -2) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 x 3)))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) -2)
(pow.f64 (+.f64 (exp.f64 x) 1) -1)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) -3)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/6) 6)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3/2) 2/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) 4)
(pow.f64 (exp.f64 1) (*.f64 (log1p.f64 (exp.f64 x)) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) -1))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) -1))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
(fma.f64 1/4 (*.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2)) (.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 2) 3/32))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 7/384 (.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 7/384 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2)) (.f64 1/4 (.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 7/384 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 (sqrt.f64 2) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 2) 3/32)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 7/384 (pow.f64 x 3)) (.f64 (pow.f64 x 2) 3/32))) (fma.f64 1/4 (.f64 x (sqrt.f64 2)) (sqrt.f64 2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 2) (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (*.f64 x -1/4))
(fma.f64 x -1/4 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (fma.f64 -1/4 x (*.f64 (pow.f64 x 3) 1/48)))
(+.f64 1/2 (fma.f64 x -1/4 (*.f64 (pow.f64 x 3) 1/48)))
(+.f64 (fma.f64 x -1/4 1/2) (*.f64 (pow.f64 x 3) 1/48))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (+.f64 (.f64 -1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3)))))
(+.f64 1/2 (fma.f64 -1/4 x (fma.f64 -1/480 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/48))))
(+.f64 1/2 (fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 -1/480 (pow.f64 x 5)))))
(+.f64 (fma.f64 x -1/4 1/2) (fma.f64 (pow.f64 x 3) 1/48 (*.f64 -1/480 (pow.f64 x 5))))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(+.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) (.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x))) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)) (*.f64 1/4 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 5/6)) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(-.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 -1/2 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(-.f64 0 (neg.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(-.f64 0 (log.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) 2)))
(log1p.f64 (exp.f64 x))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 x 3))))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 (.f64 x 3))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (+.f64 (neg.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(-.f64 (.f64 2 (.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 (log.f64 -1) (log1p.f64 (exp.f64 x))) (log.f64 -1))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2))) (log.f64 (+.f64 -1 (exp.f64 x))))
(-.f64 (log.f64 (expm1.f64 (*.f64 2 x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) -1)) (+.f64 (log.f64 -1) (.f64 -1/2 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (+.f64 (log.f64 -1) (.f64 -1/2 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(log1p.f64 (exp.f64 x))
(.f64 1/2 (.f64 2 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 -1 (neg.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 3 (.f64 1/3 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 2 (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (exp.f64 x))
(.f64 -2 (.f64 -1/2 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 1/3 (.f64 3 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(neg.f64 (log.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) 2)))
(log1p.f64 (exp.f64 x))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 x 3))))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
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(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/4))) (.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))) -1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) -1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) -1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) -1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) -1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 3 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1/3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (log.f64 (exp.f64 1)) (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 1/2)) (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 0 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) (log.f64 (exp.f64 1)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(*.f64 (pow.f64 (exp.f64 -1/3) (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(*.f64 (pow.f64 (exp.f64 -1/3) (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) 3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) 3) (pow.f64 (+.f64 (exp.f64 x) 1) -1/4))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 5/6) (pow.f64 (+.f64 (exp.f64 x) 1) -1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/6) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 5/6))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) -2) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 x 3)))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 3) x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(/.f64 (*.f64 1 (-.f64 1 (exp.f64 x))) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) -2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) 1) -1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) -3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))) 3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/6) 6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/6) 6)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1/2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1/3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2) 1/2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3) 1/3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3/2) 2/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -3/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -3/2)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) 4)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 1) (*.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) -1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) -1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1/2) 2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))) 1) 2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 x)))) 3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (exp.f64 x))) 1/2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(/.f64 1 (+.f64 1 (exp.f64 x)))

eval144.0ms (2.5%)

Compiler: Compiled 5810 to 4280 computations (26.3% saved)

prune61.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	374	5	379
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	376	8	384

Accuracy

100.0%

Counts

384 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
▶	98.9%	(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
▶	70.7%	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
▶	74.2%	(/.f64 1 (sqrt.f64 1/2))
▶	70.1%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
✓	69.8%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	75.3%	(sqrt.f64 2)
▶	100.0%	(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
▶	98.9%	(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
▶	70.7%	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
▶	74.2%	(/.f64 1 (sqrt.f64 1/2))
▶	70.1%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
✓	69.8%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	75.3%	(sqrt.f64 2)

Compiler

Compiled 192 to 172 computations (10.4% saved)

localize175.0ms (3.1%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (+.f64 (exp.f64 x) 1) -1/2)
✓	100.0%	(+.f64 (exp.f64 x) 1)
✓	98.9%	(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
✓	98.8%	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
✓	99.8%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
✓	98.5%	(/.f64 1 (sqrt.f64 1/2))
✓	100.0%	(/.f64 1 (+.f64 (exp.f64 x) 1))
✓	100.0%	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 104 to 78 computations (25% saved)

series6.0ms (0.1%)

Counts

8 → 76

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
1.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
0.0ms	x	@	0	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
0.0ms	x	@	0	(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))

rewrite113.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`prod-diff`
782×	`log1p-expm1-u`
526×	`log1p-udef`
524×	`expm1-udef`
222×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	147
1	387	131
2	5069	131

Stop Event

1×	node limit

Counts

8 → 256

Calls

Call 1

Inputs
(+.f64 (exp.f64 x) 1)
(/.f64 1 (+.f64 (exp.f64 x) 1))
(/.f64 1 (sqrt.f64 1/2))
(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(+.f64 (exp.f64 x) 1)
(pow.f64 (+.f64 (exp.f64 x) 1) -1/2)

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) 1))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 (exp.f64 x) 1))
(*.f64 (+.f64 (exp.f64 x) 1) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))
(.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (expm1.f64 x)))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(/.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (expm1.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (exp.f64 x) 1) 1)
(/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(/.f64 -1 (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(/.f64 -1 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 x))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
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(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) (pow.f64 (+.f64 (exp.f64 x) 1) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) -1/2))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))))
(/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 1)
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(/.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) -1)
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(fabs.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))

simplify117.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

660×	`associate-r`
632×	`sqr-pow`
620×	`associate-l`
482×	`exp-prod`
462×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	489	8258
1	1089	7696
2	4665	7604

Stop Event

1×	node limit

Counts

332 → 315

Calls

Call 1

Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (+.f64 (.f64 -1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/4 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/4 (.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 x (sqrt.f64 1/2))) (.f64 -1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (.f64 x (sqrt.f64 1/2))) (+.f64 (.f64 -1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (.f64 5/384 (.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) 1))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 (exp.f64 x) 1))
(*.f64 (+.f64 (exp.f64 x) 1) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))
(.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (expm1.f64 x)))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(/.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (expm1.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (exp.f64 x) 1) 1)
(/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(/.f64 -1 (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(/.f64 -1 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 x))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 (*.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(pow.f64 (+.f64 (exp.f64 x) 1) 1)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) -2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) 1)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) -1))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1))
(.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/4)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/4))
(.f64 (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (expm1.f64 x))
(pow.f64 (+.f64 (exp.f64 x) 1) -1)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 (pow.f64 (cbrt.f64 1/2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 1/2)) -1))
(*.f64 (pow.f64 (pow.f64 1/2 1/4) -1) (pow.f64 (pow.f64 1/2 1/4) -1))
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (*.f64 2 (sqrt.f64 2)) 1/3)
(pow.f64 (pow.f64 2 1/4) 2)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(cbrt.f64 (*.f64 2 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) -1))
(exp.f64 (*.f64 (log.f64 2) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(+.f64 (sqrt.f64 2) (.f64 (.f64 x 1/4) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (sqrt.f64 2))
(+.f64 (.f64 (.f64 x 1/4) (sqrt.f64 2)) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))) 1)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 1 (.f64 (pow.f64 x 3) -1/64))) (+.f64 (.f64 (pow.f64 x 2) 1/16) (-.f64 1 (.f64 x 1/4))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 2) 1/16) -1)) (fma.f64 x 1/4 -1))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 3) -1/64)) (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 x 2) 1/16) (-.f64 1 (.f64 x 1/4))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/16) -1) (sqrt.f64 2)) (fma.f64 x 1/4 -1))
(pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 2)
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 x 1/4 1) 2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x 1/4 1) 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 x 1/4 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 1/4 1) (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) 2)
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) -1) (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) -1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) -1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) -1))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) 1))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 (exp.f64 x) 1))
(*.f64 (+.f64 (exp.f64 x) 1) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))
(.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (expm1.f64 x)))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(/.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (expm1.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (exp.f64 x) 1) 1)
(/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(/.f64 -1 (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(/.f64 -1 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 x))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(/.f64 (*.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(pow.f64 (+.f64 (exp.f64 x) 1) 1)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) -2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) 1)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) (pow.f64 (+.f64 (exp.f64 x) 1) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) -1/2))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))))
(/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 1)
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(/.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) -1)
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(fabs.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))

Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(fma.f64 x -1/4 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (.f64 1/48 (pow.f64 x 3))))
(+.f64 (fma.f64 x -1/4 1/2) (*.f64 (pow.f64 x 3) 1/48))
(+.f64 1/2 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 x -1/4)))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (+.f64 (.f64 -1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3)))))
(+.f64 (fma.f64 x -1/4 1/2) (fma.f64 -1/480 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/48)))
(+.f64 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 -1/480 (pow.f64 x 5))) (fma.f64 x -1/4 1/2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 x (.f64 (sqrt.f64 2) 1/4))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(.f64 x (.f64 (sqrt.f64 2) 1/4))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/4 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (.f64 5/64 (pow.f64 x 3)) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (/.f64 (.f64 5/64 (pow.f64 x 3)) (sqrt.f64 2))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
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(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) 1))) 1)
(+.f64 1 (exp.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(*.f64 1 (+.f64 (exp.f64 x) 1))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 (exp.f64 x) 1) 1)
(+.f64 1 (exp.f64 x))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))
(+.f64 1 (exp.f64 x))
(.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 4))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(+.f64 1 (exp.f64 x))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 4))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 4))
(/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(/.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(+.f64 1 (exp.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 1 (/.f64 (expm1.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(*.f64 (/.f64 1 (expm1.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (+.f64 (exp.f64 x) 1) 1)
(+.f64 1 (exp.f64 x))
(/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(+.f64 1 (exp.f64 x))
(/.f64 -1 (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(+.f64 1 (exp.f64 x))
(/.f64 -1 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(+.f64 1 (exp.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 1 (exp.f64 x))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 x))) -1)
(/.f64 (-.f64 -1 (exp.f64 x)) -1)
(-.f64 1 (/.f64 (exp.f64 x) -1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(+.f64 1 (exp.f64 x))
(/.f64 (*.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(+.f64 1 (exp.f64 x))
(pow.f64 (+.f64 (exp.f64 x) 1) 1)
(+.f64 1 (exp.f64 x))
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1)
(+.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) -2)
(+.f64 1 (exp.f64 x))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)
(+.f64 1 (exp.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)
(+.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/2)
(+.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)
(+.f64 1 (exp.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(+.f64 1 (exp.f64 x))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 1 (exp.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(+.f64 1 (exp.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) (pow.f64 (+.f64 (exp.f64 x) 1) -1/4))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) -1/2))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) -1/2) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))))
(/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(/.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)) -1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 -1 (exp.f64 x))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(fabs.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2) 3))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 -1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) -1/2)
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 -1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1/2)

eval130.0ms (2.3%)

Compiler: Compiled 4996 to 3947 computations (21% saved)

prune55.0ms (1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	379	2	381
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	380	9	389

Accuracy

100.0%

Counts

389 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
▶	71.8%	(pow.f64 (+.f64 1/2 (*.f64 -1/4 x)) -1/2)
✓	98.9%	(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
✓	74.2%	(/.f64 1 (sqrt.f64 1/2))
✓	70.1%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
▶	3.1%	(.f64 (sqrt.f64 2) (.f64 x 1/4))
✓	69.8%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	75.3%	(sqrt.f64 2)
✓	100.0%	(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
▶	71.8%	(pow.f64 (+.f64 1/2 (*.f64 -1/4 x)) -1/2)
✓	98.9%	(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
✓	74.2%	(/.f64 1 (sqrt.f64 1/2))
✓	70.1%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
▶	3.1%	(.f64 (sqrt.f64 2) (.f64 x 1/4))
✓	69.8%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	75.3%	(sqrt.f64 2)

Compiler

Compiled 122 to 108 computations (11.5% saved)

localize61.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.4%	(.f64 (sqrt.f64 2) (.f64 x 1/4))

Compiler

Compiled 35 to 28 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sqrt.f64 2) (.f64 x 1/4))
0.0ms	x	@	inf	(.f64 (sqrt.f64 2) (.f64 x 1/4))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (.f64 x 1/4))

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`unpow-prod-down`
458×	`log-prod`
452×	`cbrt-prod`
364×	`prod-exp`
362×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	90	20
2	1027	20

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 x 1/4))

Outputs
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/4 (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 1/4 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 1/4 (sqrt.f64 2))))))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))) 1)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))) 3)
(pow.f64 (.f64 2 (pow.f64 (.f64 x 1/4) 2)) 1/2)
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) x)) 1/2) 2)
(pow.f64 (E.f64) (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))) 2))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)))))
(sqrt.f64 (.f64 2 (pow.f64 (.f64 x 1/4) 2)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 1/4 (sqrt.f64 2))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/4)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/64)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/2)) 2))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1320×	`log-prod`
1224×	`associate-r`
812×	`associate-l`
616×	`distribute-lft-in`
614×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	800
1	168	800
2	418	794
3	1328	794
4	5188	776

Stop Event

1×	node limit

Counts

33 → 32

Calls

Call 1

Inputs
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/4 (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 1/4 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 1/4 (sqrt.f64 2))))))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))) 1)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))) 3)
(pow.f64 (.f64 2 (pow.f64 (.f64 x 1/4) 2)) 1/2)
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) x)) 1/2) 2)
(pow.f64 (E.f64) (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))) 2))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)))))
(sqrt.f64 (.f64 2 (pow.f64 (.f64 x 1/4) 2)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 1/4 (sqrt.f64 2))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/4)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/64)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/2)) 2))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))

Outputs
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/4 (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 1/4 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 1/4 (sqrt.f64 2))))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 2) (.f64 x 1/4))) 1)
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) 1)
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))) 3)
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(pow.f64 (.f64 2 (pow.f64 (.f64 x 1/4) 2)) 1/2)
(sqrt.f64 (.f64 2 (pow.f64 (.f64 1/4 x) 2)))
(sqrt.f64 (.f64 (.f64 x x) 1/8))
(sqrt.f64 (.f64 x (.f64 x 1/8)))
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3) 1/64))
(cbrt.f64 (.f64 1/64 (pow.f64 (.f64 x (sqrt.f64 2)) 3)))
(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 1/32)))
(.f64 (.f64 x (sqrt.f64 2)) (cbrt.f64 1/64))
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) x)) 1/2) 2)
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(pow.f64 (E.f64) (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))) 2))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 1/4 (.f64 x (sqrt.f64 2)))) 2))) (cbrt.f64 (log.f64 (.f64 1/4 (.f64 x (sqrt.f64 2))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x))) 2))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 1/4 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(sqrt.f64 (.f64 2 (pow.f64 (.f64 x 1/4) 2)))
(sqrt.f64 (.f64 2 (pow.f64 (.f64 1/4 x) 2)))
(sqrt.f64 (.f64 (.f64 x x) 1/8))
(sqrt.f64 (.f64 x (.f64 x 1/8)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 1/4 (sqrt.f64 2))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) x) 3) 1/64))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3) 1/64))
(cbrt.f64 (.f64 1/64 (pow.f64 (.f64 x (sqrt.f64 2)) 3)))
(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 1/32)))
(.f64 (.f64 x (sqrt.f64 2)) (cbrt.f64 1/64))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (*.f64 x 1/4)))) 3))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/64)) 1/3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3) 1/64))
(cbrt.f64 (.f64 1/64 (pow.f64 (.f64 x (sqrt.f64 2)) 3)))
(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) 1/32)))
(.f64 (.f64 x (sqrt.f64 2)) (cbrt.f64 1/64))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 1/2)) 2))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4))))
(.f64 1/4 (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 1/4 x))

eval8.0ms (0.1%)

Compiler: Compiled 337 to 293 computations (13.1% saved)

prune11.0ms (0.2%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	32	9	41

Accuracy

100.0%

Counts

41 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
✓	71.8%	(pow.f64 (+.f64 1/2 (*.f64 -1/4 x)) -1/2)
✓	98.9%	(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
✓	74.2%	(/.f64 1 (sqrt.f64 1/2))
✓	70.1%	(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
✓	3.1%	(.f64 (sqrt.f64 2) (.f64 x 1/4))
✓	69.8%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	75.3%	(sqrt.f64 2)

Compiler

Compiled 157 to 131 computations (16.6% saved)

regimes15.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(pow.f64 (+.f64 1/2 (*.f64 -1/4 x)) -1/2)
(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Outputs
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)

Calls

3 calls:

7.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))`
100.0%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`

Compiler

Compiled 123 to 99 computations (19.5% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(pow.f64 (+.f64 1/2 (*.f64 -1/4 x)) -1/2)
(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(/.f64 1 (pow.f64 (+.f64 (exp.f64 x) 1) -1/2))

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 55 to 46 computations (16.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total -46.5b remaining (-294%)

Threshold costs -46.5b (-294%)

Counts

7 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(.f64 (sqrt.f64 2) (.f64 x 1/4))
(pow.f64 (+.f64 1/2 (*.f64 -1/4 x)) -1/2)
(.f64 (+.f64 (.f64 x 1/4) 1) (sqrt.f64 2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))

Outputs
(sqrt.f64 2)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
75.3%	1	`x`

Compiler

Compiled 42 to 36 computations (14.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	19	49

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Outputs
(pow.f64 (/.f64 1 (+.f64 (exp.f64 x) 1)) -1/2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Compiler

Compiled 18 to 16 computations (11.1% saved)

soundness394.0ms (6.9%)

Rules

1626×	`prod-diff`
1354×	`associate-/l*`
1124×	`associate-r`
1042×	`associate-/r*`
996×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	53	136
2	85	136
3	165	136
4	387	108
5	1518	84
0	21	126
1	262	126
2	3330	126
0	16	72
1	202	68
2	2408	68

Stop Event

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

Compiler

Compiled 188 to 135 computations (28.2% saved)

end0.0ms (0%)

preprocess32.0ms (0.6%)

Compiler: Compiled 58 to 48 computations (17.2% saved)

analyze147.0ms (2.6%)

sample2.3s (41.2%)

preprocess190.0ms (3.3%)

eval1.0ms (0%)

prune3.0ms (0%)

localize347.0ms (6.1%)

series6.0ms (0.1%)

rewrite270.0ms (4.8%)

simplify311.0ms (5.5%)

eval206.0ms (3.6%)

prune75.0ms (1.3%)

localize93.0ms (1.6%)

series46.0ms (0.8%)

rewrite86.0ms (1.5%)

simplify106.0ms (1.9%)

eval144.0ms (2.5%)

prune61.0ms (1.1%)

localize175.0ms (3.1%)

series6.0ms (0.1%)

rewrite113.0ms (2%)

simplify117.0ms (2.1%)

eval130.0ms (2.3%)

prune55.0ms (1%)

localize61.0ms (1.1%)

series1.0ms (0%)

rewrite49.0ms (0.9%)

simplify57.0ms (1%)

eval8.0ms (0.1%)

prune11.0ms (0.2%)

regimes15.0ms (0.3%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

simplify2.0ms (0%)

soundness394.0ms (6.9%)

end0.0ms (0%)

preprocess32.0ms (0.6%)

Profiling