Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, B

analyze1.0ms (0%)

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
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample758.0ms (21.3%)

Results

746.0ms	8252×	body	256	valid
1.0ms	4×	body	2048	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess15.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	13	23
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	13	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

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

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

99.6%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	99.6%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize36.0ms (1%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series4.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	-inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	0	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 x 1))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x 1))

rewrite78.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`log-prod`
848×	`prod-diff`
678×	`prod-exp`
596×	`fma-def`
560×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	195	51
2	2725	51

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

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

simplify71.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1736×	`fma-def`
892×	`unswap-sqr`
876×	`distribute-lft-in`
852×	`distribute-rgt-in`
426×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	3885
1	715	3601
2	2364	3515

Stop Event

1×	node limit

Counts

145 → 193

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 x)) 2))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (.f64 1/2 x)))
(fma.f64 1/2 x (.f64 (.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (.f64 -5/128 (pow.f64 x 4)))))
(fma.f64 x (.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 -5/128 (pow.f64 x 4) (.f64 1/2 x))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 2) (.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/2 x 2)))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

eval57.0ms (1.6%)

Compiler: Compiled 2612 to 2035 computations (22.1% saved)

prune31.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	187	6	193
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	187	7	194

Accurracy

100.0%

Counts

194 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.0%	(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
	97.4%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
▶	66.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.6%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	65.3%	(/.f64 x 2)
▶	41.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	99.6%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
▶	64.0%	(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
	97.4%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
▶	66.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.6%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	65.3%	(/.f64 x 2)
▶	41.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	99.6%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)

Compiler

Compiled 214 to 162 computations (24.3% saved)

localize160.0ms (4.5%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	41.7%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	100.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
	100.0%	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	99.8%	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	99.8%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)

Compiler

Compiled 91 to 65 computations (28.6% saved)

series4.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

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

rewrite97.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`prod-diff`
1158×	`fma-def`
596×	`expm1-udef`
594×	`log1p-udef`
380×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	381	72
2	5138	72

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify84.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1634×	`times-frac`
1090×	`fma-def`
892×	`associate-*r/`
744×	`distribute-rgt-in`
730×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	5520
1	813	5206
2	2591	5118

Stop Event

1×	node limit

Counts

190 → 217

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (fma.f64 1/4 (.f64 x x) (-.f64 4 x)))
(.f64 (/.f64 x (fma.f64 1/4 (.f64 x x) -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) 1) (.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(.f64 (.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 (.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) -1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 1/16 (pow.f64 x 3))))
(fma.f64 1/16 (pow.f64 x 3) (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 1/16 (pow.f64 x 3) (.f64 -5/128 (pow.f64 x 4))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(fma.f64 x -1/8 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/8 x 1/2) (.f64 (.f64 x x) 1/16))
(fma.f64 x -1/8 (fma.f64 (*.f64 x x) 1/16 1/2))
(fma.f64 x -1/8 (fma.f64 (*.f64 1/16 x) x 1/2))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(fma.f64 -1/8 x (fma.f64 -5/128 (pow.f64 x 3) (+.f64 1/2 (.f64 (.f64 x x) 1/16))))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -5/128 (fma.f64 (*.f64 x x) 1/16 1/2)))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -5/128 (fma.f64 (*.f64 1/16 x) x 1/2)))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 (pow.f64 x 3) 1/32)))
(fma.f64 (pow.f64 x 3) 1/32 (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (.f64 (pow.f64 x 4) -1/128))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 (pow.f64 x 3) 1/32 (fma.f64 (pow.f64 x 4) -1/128 (.f64 1/2 x))))
(+.f64 (.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 (pow.f64 x 4) -1/128 (.f64 (pow.f64 x 3) 1/32)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 -128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 -128 (pow.f64 x 3))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 1/16 (pow.f64 x 3))))
(fma.f64 1/16 (pow.f64 x 3) (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 1/16 (pow.f64 x 3) (.f64 -5/128 (pow.f64 x 4))))
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
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(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (*.f64 x (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1)

eval163.0ms (4.6%)

Compiler: Compiled 7108 to 5707 computations (19.7% saved)

prune59.0ms (1.7%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	522	3	525
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	522	10	532

Accurracy

100.0%

Counts

532 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.0%	(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
▶	97.4%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓	66.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.6%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	65.3%	(/.f64 x 2)
▶	99.2%	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
✓	41.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	66.2%	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
✓	99.6%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
	5.0%	2
✓	64.0%	(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
▶	97.4%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓	66.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.6%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	65.3%	(/.f64 x 2)
▶	99.2%	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
✓	41.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	66.2%	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
✓	99.6%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
	5.0%	2

Compiler

Compiled 162 to 126 computations (22.2% saved)

localize104.0ms (2.9%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓	99.6%	(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
✓	97.3%	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
✓	100.0%	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
✓	100.0%	(sqrt.f64 (+.f64 1 x))
✓	99.9%	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
✓	99.4%	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
✓	100.0%	(/.f64 1 (+.f64 (*.f64 1/2 x) 2))
✓	99.9%	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)

Compiler

Compiled 92 to 65 computations (29.3% saved)

series10.0ms (0.3%)

Counts

9 → 76

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
2.0ms	x	@	-inf	(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
1.0ms	x	@	-inf	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
1.0ms	x	@	-inf	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
1.0ms	x	@	inf	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))

rewrite188.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`prod-diff`
464×	`add-sqr-sqrt`
450×	`pow1`
450×	`*-un-lft-identity`
432×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	185
1	466	141
2	6703	141

Stop Event

1×	node limit

Counts

9 → 377

Calls

Call 1

Inputs
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 1 (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(sqrt.f64 (+.f64 1 x))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))

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

simplify246.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

748×	`times-frac`
654×	`associate-r`
592×	`log-prod`
546×	`fma-def`
546×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	668	13083
1	1696	12129
2	7040	11361

Stop Event

1×	node limit

Counts

453 → 418

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/32 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/32 (pow.f64 x 2)) (*.f64 -1/128 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 128 (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 128 (/.f64 1 (pow.f64 x 4)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
1
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2
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(*.f64 1/2 x)
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2
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(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 1 (neg.f64 (/.f64 -1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(/.f64 -1 (/.f64 -1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1) (+.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (.f64 x (expm1.f64 (.f64 1/2 (log1p.f64 x)))) x)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) -1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) x)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
(.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(.f64 x (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) x))
(.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) 1)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(.f64 -1 (/.f64 1 (/.f64 -1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(.f64 (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) x) x)
(.f64 (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) x) (pow.f64 (/.f64 1 x) -1))
(.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1))
(.f64 (/.f64 x 1) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 1) x)
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) -1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(fma.f64 x -1/8 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/32 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/8 x 1/2) (.f64 (.f64 x x) 1/32))
(fma.f64 x -1/8 (fma.f64 (*.f64 x x) 1/32 1/2))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/32 (pow.f64 x 2)) (*.f64 -1/128 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/8 x 1/2) (fma.f64 1/32 (.f64 x x) (.f64 (pow.f64 x 3) -1/128)))
(+.f64 (fma.f64 x -1/8 1/2) (fma.f64 (pow.f64 x 3) -1/128 (.f64 (.f64 1/32 x) x)))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 8 x) x))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 (/.f64 8 x) x)) (/.f64 32 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 128 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4)))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 128 (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 8 x) x))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 (/.f64 8 x) x)) (/.f64 32 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 128 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4)))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 128 (pow.f64 x 4)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 (pow.f64 x 3) 1/16)))
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1
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2
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2
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(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) -1)
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 x (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) 1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 -1 (/.f64 1 (/.f64 -1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) x) x)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) x) (pow.f64 (/.f64 1 x) -1))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (/.f64 x 1) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 1) x)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(fabs.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 1))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (.f64 (neg.f64 (log.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) -1))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))

eval176.0ms (4.9%)

Compiler: Compiled 8277 to 6514 computations (21.3% saved)

prune61.0ms (1.7%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	415	3	418
Fresh	0	1	1
Picked	1	2	3
Done	1	5	6
Total	417	11	428

Accurracy

100.0%

Counts

428 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.6%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	65.3%	(/.f64 x 2)
✓	99.2%	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
▶	64.4%	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
▶	65.8%	(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
✓	41.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	66.2%	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
✓	99.6%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
▶	97.3%	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
	5.0%	2
✓	66.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.6%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	65.3%	(/.f64 x 2)
✓	99.2%	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
▶	64.4%	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
▶	65.8%	(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
✓	41.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	66.2%	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
✓	99.6%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
▶	97.3%	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
	5.0%	2

Compiler

Compiled 180 to 148 computations (17.8% saved)

localize87.0ms (2.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))
✓	99.5%	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
✓	99.5%	(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
	97.3%	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))

Compiler

Compiled 81 to 62 computations (23.5% saved)

series2.0ms (0%)

Counts

3 → 30

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
0.0ms	x	@	0	(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
0.0ms	x	@	0	(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))
0.0ms	x	@	0	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))

rewrite87.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`log-prod`
864×	`fma-def`
682×	`pow-exp`
532×	`expm1-udef`
530×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	67
1	375	67
2	4271	67

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))

Outputs
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(.f64 (/.f64 1 (-.f64 1/4 (.f64 (pow.f64 x -2) 4))) (-.f64 1/2 (/.f64 2 x)))
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(pow.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)) -1)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) 1) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 0 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(*.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -1/2) (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2))) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (.f64 x x) 1/64)))
(.f64 (/.f64 1 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x)))
(pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/64) (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x))) (/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x))))
(*.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))
(*.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 1)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2)) (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (.f64 x x) 1/64))))
(.f64 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (/.f64 1 (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x))))
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (*.f64 x x) 1/64)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x)) (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(/.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 1)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(/.f64 (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -1/2))
(/.f64 (neg.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) -1)
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (*.f64 x x) 1/64)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (-.f64 (.f64 (.f64 x x) 1/64) (.f64 -1/8 (.f64 x (+.f64 1/2 (/.f64 2 x)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (neg.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (*.f64 x x) 1/64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (neg.f64 (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x -1/8 1/2) 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (fma.f64 x -1/8 1/2) (fma.f64 x -1/8 1/2) (-.f64 (.f64 (pow.f64 x -2) 4) (.f64 (fma.f64 x -1/8 1/2) (/.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (.f64 (.f64 x x) 1/64)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 x -1/8)))
(/.f64 (-.f64 (.f64 (fma.f64 x -1/8 1/2) (fma.f64 x -1/8 1/2)) (.f64 (pow.f64 x -2) 4)) (-.f64 (fma.f64 x -1/8 1/2) (/.f64 2 x)))
(pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) -1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (*.f64 x x) 1/64)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x)) (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (exp.f64 (fma.f64 x -1/8 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (exp.f64 (fma.f64 x -1/8 1/2))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/8) x) (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x -1/8))) (exp.f64 (+.f64 1/2 (/.f64 2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x -1/8))) (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))
(log.f64 (.f64 (exp.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1 (expm1.f64 (.f64 x -1/8)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (exp.f64 -1/8) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))) (+.f64 1 (expm1.f64 (.f64 x -1/8)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x -1/8 1/2)) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(exp.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 2))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(fma.f64 1 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 1 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 1 (+.f64 1/2 (/.f64 2 x)) (*.f64 x -1/8))
(fma.f64 1 (fma.f64 x -1/8 1/2) (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (fma.f64 x -1/8 1/2))
(fma.f64 x -1/8 (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (/.f64 2 x) 1 (fma.f64 x -1/8 1/2))
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (*.f64 x -1/8) 1 (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (/.f64 1 x) 2 (fma.f64 x -1/8 1/2))
(fma.f64 (+.f64 1/2 (/.f64 2 x)) 1 (*.f64 x -1/8))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (*.f64 x -1/8))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 x -1/8))
(fma.f64 (cbrt.f64 (.f64 x -1/8)) (pow.f64 (cbrt.f64 (.f64 x -1/8)) 2) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/8)) 2) (cbrt.f64 (.f64 x -1/8)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (fma.f64 x -1/8 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 x -1/8))
(fma.f64 (sqrt.f64 (.f64 x -1/8)) (sqrt.f64 (.f64 x -1/8)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
(fma.f64 -2 (/.f64 1 (neg.f64 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4)) (*.f64 x -1/8))
(fma.f64 (-.f64 1/4 (.f64 (pow.f64 x -2) 4)) (/.f64 1 (-.f64 1/2 (/.f64 2 x))) (.f64 x -1/8))
(fma.f64 (fma.f64 x -1/8 1/2) 1 (/.f64 2 x))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -1/8 1/2)) (cbrt.f64 (fma.f64 x -1/8 1/2))) (cbrt.f64 (fma.f64 x -1/8 1/2)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (fma.f64 x -1/8 1/2)) (sqrt.f64 (fma.f64 x -1/8 1/2)) (/.f64 2 x))
(fma.f64 (*.f64 -1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (fma.f64 x -1/8 1/2))

simplify101.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1618×	`unswap-sqr`
466×	`associate-+r+`
426×	`exp-prod`
406×	`cancel-sign-sub-inv`
346×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	5836
1	1039	5654
2	3064	5524

Stop Event

1×	node limit

Counts

184 → 249

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) 1/2)
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(.f64 (/.f64 1 (-.f64 1/4 (.f64 (pow.f64 x -2) 4))) (-.f64 1/2 (/.f64 2 x)))
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(pow.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)) -1)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) 1) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 0 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(*.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -1/2) (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2))) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (.f64 x x) 1/64)))
(.f64 (/.f64 1 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x)))
(pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/64) (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x))) (/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x))))
(*.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))
(*.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 1)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2)) (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (.f64 x x) 1/64))))
(.f64 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (/.f64 1 (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x))))
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (*.f64 x x) 1/64)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x)) (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(/.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 1)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(/.f64 (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) -1/2))
(/.f64 (neg.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) -1)
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (*.f64 x x) 1/64)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (-.f64 (.f64 (.f64 x x) 1/64) (.f64 -1/8 (.f64 x (+.f64 1/2 (/.f64 2 x)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (neg.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (*.f64 x x) 1/64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (neg.f64 (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x -1/8 1/2) 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (fma.f64 x -1/8 1/2) (fma.f64 x -1/8 1/2) (-.f64 (.f64 (pow.f64 x -2) 4) (.f64 (fma.f64 x -1/8 1/2) (/.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (.f64 (.f64 x x) 1/64)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 x -1/8)))
(/.f64 (-.f64 (.f64 (fma.f64 x -1/8 1/2) (fma.f64 x -1/8 1/2)) (.f64 (pow.f64 x -2) 4)) (-.f64 (fma.f64 x -1/8 1/2) (/.f64 2 x)))
(pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) -1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (*.f64 x x) 1/64)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x)) (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (exp.f64 (fma.f64 x -1/8 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (exp.f64 (fma.f64 x -1/8 1/2))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/8) x) (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x -1/8))) (exp.f64 (+.f64 1/2 (/.f64 2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x -1/8))) (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))
(log.f64 (.f64 (exp.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1 (expm1.f64 (.f64 x -1/8)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (exp.f64 -1/8) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))) (+.f64 1 (expm1.f64 (.f64 x -1/8)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x -1/8 1/2)) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(exp.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 2))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(fma.f64 1 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 1 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 1 (+.f64 1/2 (/.f64 2 x)) (*.f64 x -1/8))
(fma.f64 1 (fma.f64 x -1/8 1/2) (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (fma.f64 x -1/8 1/2))
(fma.f64 x -1/8 (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (/.f64 2 x) 1 (fma.f64 x -1/8 1/2))
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (*.f64 x -1/8) 1 (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (/.f64 1 x) 2 (fma.f64 x -1/8 1/2))
(fma.f64 (+.f64 1/2 (/.f64 2 x)) 1 (*.f64 x -1/8))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (*.f64 x -1/8))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 x -1/8))
(fma.f64 (cbrt.f64 (.f64 x -1/8)) (pow.f64 (cbrt.f64 (.f64 x -1/8)) 2) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/8)) 2) (cbrt.f64 (.f64 x -1/8)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (fma.f64 x -1/8 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 x -1/8))
(fma.f64 (sqrt.f64 (.f64 x -1/8)) (sqrt.f64 (.f64 x -1/8)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
(fma.f64 -2 (/.f64 1 (neg.f64 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4)) (*.f64 x -1/8))
(fma.f64 (-.f64 1/4 (.f64 (pow.f64 x -2) 4)) (/.f64 1 (-.f64 1/2 (/.f64 2 x))) (.f64 x -1/8))
(fma.f64 (fma.f64 x -1/8 1/2) 1 (/.f64 2 x))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -1/8 1/2)) (cbrt.f64 (fma.f64 x -1/8 1/2))) (cbrt.f64 (fma.f64 x -1/8 1/2)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (fma.f64 x -1/8 1/2)) (sqrt.f64 (fma.f64 x -1/8 1/2)) (/.f64 2 x))
(fma.f64 (*.f64 -1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (fma.f64 x -1/8 1/2))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 1/32 (pow.f64 x 3))))
(+.f64 (.f64 x (fma.f64 x -1/8 1/2)) (.f64 1/32 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) (/.f64 -128 (pow.f64 x 3)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) (/.f64 -128 (pow.f64 x 3)))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 (pow.f64 x 3) 1/16)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 (pow.f64 x 3) 1/16 (.f64 1/2 x)))
(+.f64 (.f64 x (fma.f64 x -1/8 1/2)) (.f64 (pow.f64 x 3) 1/16))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 -3/128 (pow.f64 x 4) (.f64 (pow.f64 x 3) 1/16))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) 1/16 (.f64 (pow.f64 x 4) -3/128))))
(+.f64 (.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 (pow.f64 x 3) 1/16 (.f64 (pow.f64 x 4) -3/128)))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 32 (*.f64 x x))))
(+.f64 (/.f64 -8 x) (/.f64 -32 (*.f64 x x)))
(-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 32 (*.f64 x x)))))
(+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -32 (*.f64 x x))))
(+.f64 (/.f64 -256 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x x))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 32 (*.f64 x x)))) (/.f64 1536 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -32 (*.f64 x x)))) (/.f64 -1536 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x x)))) (/.f64 -1536 (pow.f64 x 4)))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 32 (*.f64 x x))))
(+.f64 (/.f64 -8 x) (/.f64 -32 (*.f64 x x)))
(-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 32 (*.f64 x x)))))
(+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -32 (*.f64 x x))))
(+.f64 (/.f64 -256 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x x))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 32 (*.f64 x x)))) (/.f64 1536 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -32 (*.f64 x x)))) (/.f64 -1536 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 32 (*.f64 x x)))) (/.f64 -1536 (pow.f64 x 4)))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 x -1/8 1/2)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 x -1/8 1/2)
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4))
(/.f64 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4) (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8))
(.f64 (/.f64 1 (-.f64 1/4 (.f64 (pow.f64 x -2) 4))) (-.f64 1/2 (/.f64 2 x)))
(.f64 (/.f64 1 (-.f64 1/4 (.f64 4 (pow.f64 x -2)))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (+.f64 1/4 (*.f64 (pow.f64 x -2) -4)))
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(pow.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)) -1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1) 1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1) 1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) 1) -1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
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(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (*.f64 x x) 1/64)))
(.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 x (.f64 x 1/64)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 (/.f64 2 x) (-.f64 1/2 (.f64 x -1/8))) (.f64 x (*.f64 x 1/64))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (fma.f64 x (.f64 x 1/64) (.f64 1/8 (fma.f64 1/2 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (-.f64 (.f64 (.f64 x x) 1/64) (.f64 -1/8 (.f64 x (+.f64 1/2 (/.f64 2 x)))))))
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(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 (/.f64 2 x) (-.f64 1/2 (.f64 x -1/8))) (.f64 x (*.f64 x 1/64))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (fma.f64 x (.f64 x 1/64) (.f64 1/8 (fma.f64 1/2 x 2)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (/.f64 -2 x) (fma.f64 x -1/8 -1/2)))
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(.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 x (.f64 x 1/64)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 (/.f64 2 x) (-.f64 1/2 (.f64 x -1/8))) (.f64 x (*.f64 x 1/64))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (fma.f64 x (.f64 x 1/64) (.f64 1/8 (fma.f64 1/2 x 2)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (neg.f64 (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (/.f64 -2 x) (fma.f64 x -1/8 -1/2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x -1/8 1/2) 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (fma.f64 x -1/8 1/2) (fma.f64 x -1/8 1/2) (-.f64 (.f64 (pow.f64 x -2) 4) (.f64 (fma.f64 x -1/8 1/2) (/.f64 2 x)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (pow.f64 (fma.f64 x -1/8 1/2) 3)) (fma.f64 (fma.f64 x -1/8 1/2) (fma.f64 x -1/8 1/2) (-.f64 (.f64 4 (pow.f64 x -2)) (.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (pow.f64 (fma.f64 x -1/8 1/2) 3)) (fma.f64 (fma.f64 x -1/8 1/2) (fma.f64 x -1/8 1/2) (fma.f64 4 (pow.f64 x -2) (*.f64 (/.f64 -2 x) (fma.f64 x -1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (.f64 (.f64 x x) 1/64)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 x -1/8)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (/.f64 -2 x) (fma.f64 x -1/8 -1/2)))
(/.f64 (-.f64 (.f64 (fma.f64 x -1/8 1/2) (fma.f64 x -1/8 1/2)) (.f64 (pow.f64 x -2) 4)) (-.f64 (fma.f64 x -1/8 1/2) (/.f64 2 x)))
(/.f64 (-.f64 (.f64 (fma.f64 x -1/8 1/2) (fma.f64 x -1/8 1/2)) (.f64 4 (pow.f64 x -2))) (+.f64 (fma.f64 x -1/8 1/2) (/.f64 -2 x)))
(/.f64 (fma.f64 (fma.f64 x -1/8 1/2) (fma.f64 x -1/8 1/2) (*.f64 (pow.f64 x -2) -4)) (+.f64 (/.f64 -2 x) (fma.f64 x -1/8 1/2)))
(pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 1)
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(pow.f64 (/.f64 1 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) -1)
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 3)
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 3) 1/3)
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 2)
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(pow.f64 (/.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 (*.f64 x x) 1/64)) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) -1)
(.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 x -1/8)) (.f64 x (.f64 x 1/64)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 (/.f64 2 x) (-.f64 1/2 (.f64 x -1/8))) (.f64 x (*.f64 x 1/64))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (fma.f64 x (.f64 x 1/64) (.f64 1/8 (fma.f64 1/2 x 2)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x -1/8 -1/2) (/.f64 2 x)) (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) -1)
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (/.f64 -2 x) (fma.f64 x -1/8 -1/2)))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (exp.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (exp.f64 (fma.f64 x -1/8 1/2))))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (exp.f64 (fma.f64 x -1/8 1/2))))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/8) x) (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x -1/8))) (exp.f64 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x -1/8))) (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (.f64 (exp.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1 (expm1.f64 (.f64 x -1/8)))))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (exp.f64 -1/8) x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))) (+.f64 1 (expm1.f64 (.f64 x -1/8)))))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log.f64 (*.f64 (exp.f64 (fma.f64 x -1/8 1/2)) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2) 3))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(exp.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)) 1) 1))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 3))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 1/3))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))) 2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 1 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 1 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 1 (+.f64 1/2 (/.f64 2 x)) (*.f64 x -1/8))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 1 (fma.f64 x -1/8 1/2) (/.f64 2 x))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 2 (/.f64 1 x) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 x -1/8 (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (/.f64 2 x) 1 (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (*.f64 x -1/8) 1 (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (/.f64 1 x) 2 (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (+.f64 1/2 (/.f64 2 x)) 1 (*.f64 x -1/8))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (fma.f64 x -1/8 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (*.f64 x -1/8))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 x -1/8))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (.f64 x -1/8)) (pow.f64 (cbrt.f64 (.f64 x -1/8)) 2) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/8)) 2) (cbrt.f64 (.f64 x -1/8)) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 x -1/8))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (.f64 x -1/8)) (sqrt.f64 (.f64 x -1/8)) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 -2 (/.f64 1 (neg.f64 x)) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4)) (*.f64 x -1/8))
(fma.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4)) (*.f64 x -1/8))
(+.f64 (*.f64 x -1/8) (/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4)))
(fma.f64 (-.f64 1/4 (.f64 (pow.f64 x -2) 4)) (/.f64 1 (-.f64 1/2 (/.f64 2 x))) (.f64 x -1/8))
(fma.f64 (-.f64 1/4 (.f64 4 (pow.f64 x -2))) (/.f64 1 (+.f64 1/2 (/.f64 -2 x))) (.f64 x -1/8))
(fma.f64 (+.f64 1/4 (.f64 (pow.f64 x -2) -4)) (/.f64 1 (+.f64 1/2 (/.f64 -2 x))) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (/.f64 (+.f64 1/4 (.f64 (pow.f64 x -2) -4)) (+.f64 1/2 (/.f64 -2 x))))
(fma.f64 (fma.f64 x -1/8 1/2) 1 (/.f64 2 x))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -1/8 1/2)) (cbrt.f64 (fma.f64 x -1/8 1/2))) (cbrt.f64 (fma.f64 x -1/8 1/2)) (/.f64 2 x))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (fma.f64 x -1/8 1/2)) (sqrt.f64 (fma.f64 x -1/8 1/2)) (/.f64 2 x))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (*.f64 -1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))

eval112.0ms (3.1%)

Compiler: Compiled 5123 to 4191 computations (18.2% saved)

prune41.0ms (1.2%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	295	0	295
Fresh	0	1	1
Picked	0	3	3
Done	0	7	7
Total	295	11	306

Accurracy

100.0%

Counts

306 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.6%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	65.3%	(/.f64 x 2)
✓	99.2%	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
✓	64.4%	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
✓	65.8%	(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
✓	41.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	66.2%	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
✓	99.6%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓	97.3%	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
	5.0%	2

Compiler

Compiled 187 to 148 computations (20.9% saved)

regimes18.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))

Outputs
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)

Calls

2 calls:

7.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
7.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 108 to 82 computations (24.1% saved)

regimes15.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))

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

Calls

2 calls:

7.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
5.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 74 to 57 computations (23% saved)

regimes11.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 49 to 39 computations (20.4% saved)

regimes7.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))

Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
66.2%	1	`x`

Compiler

Compiled 43 to 34 computations (20.9% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))

Outputs
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.8%	1	`x`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)

Outputs
(/.f64 x 2)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.3%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
2

Outputs
2

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
5.0%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch15.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.124789574826116e-12	1.6388782115951403e-5

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 166 to 136 computations (18.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	143
1	37	143

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 3246626956972881/295147905179352825856) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x 2)
2

Outputs
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(if (<=.f64 x 3246626956972881/295147905179352825856) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 3246626956972881/295147905179352825856) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x 2)
2

Compiler

Compiled 60 to 48 computations (20% saved)

soundness570.0ms (16%)

Rules

1736×	`fma-def`
1702×	`prod-diff`
1158×	`fma-def`
892×	`unswap-sqr`
882×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	195	51
2	2725	51
0	17	84
1	381	72
2	5138	72
0	668	13083
1	1696	12129
2	7040	11361
0	9	51
1	195	51
2	2725	51
0	316	3885
1	715	3601
2	2364	3515

Stop Event

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

Compiler

Compiled 571 to 458 computations (19.8% saved)

end58.0ms (1.6%)

Compiler: Compiled 126 to 98 computations (22.2% saved)

analyze1.0ms (0%)

sample758.0ms (21.3%)

preprocess15.0ms (0.4%)

simplify12.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize36.0ms (1%)

series4.0ms (0.1%)

rewrite78.0ms (2.2%)

simplify71.0ms (2%)

eval57.0ms (1.6%)

prune31.0ms (0.9%)

localize160.0ms (4.5%)

series4.0ms (0.1%)

rewrite97.0ms (2.7%)

simplify84.0ms (2.4%)

eval163.0ms (4.6%)

prune59.0ms (1.7%)

localize104.0ms (2.9%)

series10.0ms (0.3%)

rewrite188.0ms (5.3%)

simplify246.0ms (6.9%)

eval176.0ms (4.9%)

prune61.0ms (1.7%)

localize87.0ms (2.5%)

series2.0ms (0%)

rewrite87.0ms (2.4%)

simplify101.0ms (2.8%)

eval112.0ms (3.1%)

prune41.0ms (1.2%)

regimes18.0ms (0.5%)

regimes15.0ms (0.4%)

regimes11.0ms (0.3%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch15.0ms (0.4%)

simplify7.0ms (0.2%)

soundness570.0ms (16%)

end58.0ms (1.6%)

Profiling