Metrics for sqrtexp (problem 3.4.4)

analyze129.0ms (3.8%)

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
53.1%	53.1%	46.9%	0%	0%	0%	0%	6
54.7%	54.7%	45.3%	0%	0%	0%	0%	7
55.5%	55.4%	44.5%	0%	0%	0%	0%	8
55.9%	55.8%	44.1%	0%	0%	0%	0%	9
56.1%	56%	43.9%	0%	0%	0%	0%	10
56.2%	56.1%	43.8%	0%	0%	0%	0%	11
56.2%	56.2%	43.8%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.1s (61.9%)

Results

1.0s	2695×	body	1024	valid
411.0ms	3812×	body	256	valid
281.0ms	1391×	body	512	valid
200.0ms	2540×	body	256	unsamplable
130.0ms	309×	body	2048	valid
6.0ms	49×	body	256	infinite

Bogosity

preprocess204.0ms (6%)

Algorithm

1×	egg-herbie

Rules

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

Problems

144×	`(-.f64 (exp.f64 (*.f64 2 x)) 1)`
104×	No Errors
7×	`(-.f64 (exp.f64 x) 1)`
1×	`(/.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)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
▶	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	99.6%	(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
▶	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 30 to 24 computations (20% saved)

localize58.0ms (1.7%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
✓	100.0%	(expm1.f64 (*.f64 2 x))
✓	99.7%	(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 41 to 25 computations (39% saved)

series4.0ms (0.1%)

Counts

5 → 44

Calls

15 calls:

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

rewrite136.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`log-prod`
733×	`log1p-expm1-u`
731×	`expm1-log1p-u`
516×	`pow-prod-down`
426×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	197	78
2	2472	78

Stop Event

1×	node limit

Counts

5 → 276

Calls

Call 1

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

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

simplify100.0ms (3%)

Algorithm

1×	egg-herbie

Rules

948×	`associate-*r/`
466×	`div-sub`
388×	`log-prod`
382×	`sqr-pow`
370×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	8106
1	883	7758
2	3125	7608

Stop Event

1×	node limit

Counts

320 → 235

Calls

Call 1

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

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

eval65.0ms (1.9%)

Compiler: Compiled 2955 to 2130 computations (27.9% saved)

prune28.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	233	4	237

Accuracy

100.0%

Counts

237 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.3%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	65.6%	(sqrt.f64 2)
▶	99.1%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
▶	58.3%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	65.6%	(sqrt.f64 2)
▶	99.1%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 42 to 36 computations (14.3% saved)

localize46.0ms (1.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 2 x))
✓	99.6%	(log1p.f64 (exp.f64 x))
✓	99.1%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 32 to 19 computations (40.6% saved)

series48.0ms (1.4%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
22.0ms	x	@	-inf	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
1.0ms	x	@	0	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 2 x))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 2 x))

rewrite83.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`unpow-prod-down`
656×	`log-prod`
626×	`log1p-expm1-u`
626×	`expm1-log1p-u`
428×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	154	44
2	1743	44

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

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

simplify79.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1816×	`fma-def`
1016×	`distribute-lft-in`
968×	`distribute-rgt-in`
962×	`sqr-pow`
720×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	5838
1	1027	5619
2	2760	5420

Stop Event

1×	node limit

Counts

190 → 279

Calls

Call 1

Inputs
(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)))
(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 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.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 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4) 1/2))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (pow.f64 (exp.f64 1) (.f64 1/3 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(.f64 (pow.f64 (exp.f64 1) (.f64 1/4 (log1p.f64 (exp.f64 x)))) (pow.f64 (exp.f64 1) (*.f64 1/4 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 5) 1/2) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 2) 3) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3))
(.f64 (pow.f64 (.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (+.f64 (exp.f64 x) 1))) 1/3) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (exp.f64 1))
(/.f64 (pow.f64 (exp.f64 1/2) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 1/2))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 3)
(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) 2) 1/4)
(pow.f64 (exp.f64 1) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(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 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (.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 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (pow.f64 (exp.f64 1) 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 1/2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 1/2)) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (sqrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.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 (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)))
(+.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x))) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.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 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 5)) (.f64 1/3 (.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (exp.f64 (*.f64 3 x))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1/2 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)))
(.f64 2 (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(*.f64 1 (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 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (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)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(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 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2) (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 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2)))) 1)
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(*.f64 (sqrt.f64 (+.f64 x 2)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(*.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (+.f64 x 2) 1/6))
(*.f64 (pow.f64 (+.f64 x 2) 1/6) (cbrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (+.f64 x 2) 1/4) (pow.f64 (+.f64 x 2) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (pow.f64 (pow.f64 (+.f64 x 2) 5/6) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 2) 1/4)) (pow.f64 (pow.f64 (+.f64 x 2) 3/4) 1/2))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 2) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 x 2) 1/4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 2) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 x 2) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) 1/6)) 2) 3) (pow.f64 (+.f64 x 2) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 2) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 2) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 x 2) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 2) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 x 2) 1/4)))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(pow.f64 (+.f64 x 2) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 x 2)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 2) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 x 2) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 2) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 2) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 2) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x 2)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x 2)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 2) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 x 2))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (+.f64 x 2))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 2))))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 (sqrt.f64 2) x)))
(fma.f64 1/4 (*.f64 (sqrt.f64 2) x) (sqrt.f64 2))
(*.f64 (fma.f64 1/4 x 1) (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 (sqrt.f64 2) (pow.f64 x 2)) (.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/4 x) (*.f64 3/32 (pow.f64 x 2)))))
(fma.f64 (sqrt.f64 2) (fma.f64 3/32 (pow.f64 x 2) (*.f64 1/4 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))))))
(+.f64 (sqrt.f64 2) (fma.f64 7/384 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2)) (.f64 1/4 (.f64 (sqrt.f64 2) x)))))
(+.f64 (sqrt.f64 2) (fma.f64 7/384 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/4 x) (.f64 3/32 (pow.f64 x 2))))))
(fma.f64 (fma.f64 7/384 (pow.f64 x 3) 1) (sqrt.f64 2) (.f64 (sqrt.f64 2) (fma.f64 3/32 (pow.f64 x 2) (.f64 1/4 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 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (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 x 1/2)))
(+.f64 (log.f64 2) (fma.f64 (pow.f64 x 2) 1/8 (*.f64 x 1/2)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 2) 1/8 (log.f64 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 x 1/2))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/8 (*.f64 x 1/2))))
(fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x 1/2 (fma.f64 (pow.f64 x 2) 1/8 (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 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (sqrt.f64 2))) (/.f64 (*.f64 (pow.f64 x 3) 1/16) (pow.f64 (sqrt.f64 2) 5)))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))
(*.f64 (fabs.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/8)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/8) (pow.f64 (+.f64 1 (exp.f64 x)) 1/8))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (pow.f64 (exp.f64 1) (.f64 1/3 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (pow.f64 (E.f64) (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1/3)))
(.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (pow.f64 (E.f64) (.f64 (log1p.f64 (exp.f64 x)) 1/6)))
(.f64 (pow.f64 (exp.f64 1) (.f64 1/4 (log1p.f64 (exp.f64 x)))) (pow.f64 (exp.f64 1) (*.f64 1/4 (log1p.f64 (exp.f64 x)))))
(pow.f64 (E.f64) (.f64 2 (.f64 1/4 (log1p.f64 (exp.f64 x)))))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))
(*.f64 (fabs.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/8)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/8) (pow.f64 (+.f64 1 (exp.f64 x)) 1/8))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 5) 1/2) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 5)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/12) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 2) 3) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
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(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (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))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(fma.f64 (log1p.f64 (exp.f64 x)) 1/2 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (exp.f64 x))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (exp.f64 x))
(fma.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 1 (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (exp.f64 x))
(fma.f64 1 (.f64 (log1p.f64 (exp.f64 x)) 1/2) (.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (exp.f64 x))
(fma.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (exp.f64 x))
(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))
(log1p.f64 (exp.f64 x))
(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))
(log1p.f64 (exp.f64 x))
(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))
(log1p.f64 (exp.f64 x))
(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))
(log1p.f64 (exp.f64 x))
(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))
(log1p.f64 (exp.f64 x))
(+.f64 0 (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2)))) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 x 2)) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (+.f64 x 2) 1/6))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 x 2) 1/6) (cbrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 x 2) 1/4) (pow.f64 (+.f64 x 2) 1/4))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (pow.f64 (pow.f64 (+.f64 x 2) 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 2) 1/4)) (pow.f64 (pow.f64 (+.f64 x 2) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.f64 (pow.f64 (+.f64 2 x) 1/8) (pow.f64 (+.f64 2 x) 3/8))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (-.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (/.f64 1 (fma.f64 x (+.f64 x -2) 4))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 2) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 x 2) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.f64 (pow.f64 (+.f64 2 x) 1/8) (pow.f64 (+.f64 2 x) 3/8))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 2) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 x 2) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 5/6)) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (+.f64 2 x) 5/12) (pow.f64 (+.f64 2 x) 1/12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) 1/6)) 2) 3) (pow.f64 (+.f64 x 2) 1/6))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 2) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 2) 1/6)) 3))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 x 2) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 2) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 x 2) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4)))
(pow.f64 (+.f64 x 2) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (+.f64 x 2)) 3/2)
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 2) 1/6) 3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 x 2) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 2) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 2) 3/2) 1/3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 x 2) 1/4) 2)
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3/2))
(sqrt.f64 (+.f64 2 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2)) 1/2))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x 2)) 1) 1/2))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x 2)) 1/2) 1))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1) 1))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 2) 1/6)) 3))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 x 2))) 1/3))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (+.f64 x 2))) 2))
(sqrt.f64 (+.f64 2 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))

eval160.0ms (4.8%)

Compiler: Compiled 3790 to 2637 computations (30.4% saved)

prune37.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	279	4	283

Accuracy

100.0%

Counts

283 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.3%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	65.6%	(sqrt.f64 2)
✓	99.1%	(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes11.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(sqrt.f64 (+.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
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Calls

3 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
2.0ms	(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 65 to 51 computations (21.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -5.2b remaining (-23.6%)

Threshold costs -5.2b (-23.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))

Outputs
(sqrt.f64 2)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	15	23

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Compiler

Compiled 9 to 8 computations (11.1% saved)

soundness58.0ms (1.7%)

Rules

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

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

Compiler

Compiled 85 to 56 computations (34.1% saved)

end0.0ms (0%)

preprocess28.0ms (0.8%)

Compiler: Compiled 42 to 36 computations (14.3% saved)

analyze129.0ms (3.8%)

sample2.1s (61.9%)

preprocess204.0ms (6%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize58.0ms (1.7%)

series4.0ms (0.1%)

rewrite136.0ms (4%)

simplify100.0ms (3%)

eval65.0ms (1.9%)

prune28.0ms (0.8%)

localize46.0ms (1.4%)

series48.0ms (1.4%)

rewrite83.0ms (2.5%)

simplify79.0ms (2.3%)

eval160.0ms (4.8%)

prune37.0ms (1.1%)

regimes11.0ms (0.3%)

regimes4.0ms (0.1%)

simplify2.0ms (0.1%)

soundness58.0ms (1.7%)

end0.0ms (0%)

preprocess28.0ms (0.8%)

Profiling