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

analyze1.0ms (0.1%)

Algorithm

1×

Search

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

sample874.0ms (37.5%)

Results

859.0ms	8253×	body	256	valid
1.0ms	3×	body	2048	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess28.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

36×	`fma-def`
24×	`sub-neg`
20×	`+-commutative`
12×	`div-sub`
10×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	25	50
2	39	50
3	54	50
4	66	50
5	85	50
6	109	50
7	134	50
8	135	50

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify3.0ms (0.1%)

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

99.7%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize42.0ms (1.8%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x 1))
✓	100.0%	(+.f64 1 (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 (0.2%)

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	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0ms	x	@	-inf	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite105.0ms (4.5%)

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

simplify87.0ms (3.7%)

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 → 191

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)))))
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)))))
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)))))
(+.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 (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)
(+.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)

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 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 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 1/2 x (.f64 -5/128 (pow.f64 x 4)))))
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 1/2 x (fma.f64 x (*.f64 x -1/8) 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)))
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 x (*.f64 x -1/8) (fma.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)))))
(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 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/2 x 1)))
(+.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 (/.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 (/.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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(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 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(+.f64 -1 (/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (/.f64 x (+.f64 (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)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))

eval60.0ms (2.6%)

Compiler: Compiled 2569 to 1999 computations (22.2% saved)

prune29.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	6	192

Accurracy

100.0%

Counts

192 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
▶	64.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	63.6%	(/.f64 x 2)
▶	42.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	61.9%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
▶	97.1%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
▶	64.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	63.6%	(/.f64 x 2)
▶	42.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	61.9%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))

Compiler

Compiled 166 to 126 computations (24.1% saved)

localize268.0ms (11.5%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	42.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	100.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
✓	99.7%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓	99.7%	(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
✓	97.1%	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))

Compiler

Compiled 88 to 59 computations (33% saved)

series13.0ms (0.6%)

Counts

6 → 64

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
2.0ms	x	@	-inf	(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
1.0ms	x	@	inf	(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
1.0ms	x	@	-inf	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
1.0ms	x	@	-inf	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))

rewrite119.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`prod-diff`
504×	`add-sqr-sqrt`
486×	`pow1`
486×	`*-un-lft-identity`
470×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	100
1	511	92
2	6943	92

Stop Event

1×	node limit

Counts

6 → 273

Calls

Call 1

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

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

simplify141.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

736×	`div-sub`
666×	`log-prod`
560×	`fma-def`
546×	`associate-r`
512×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	12733
1	1401	10265
2	5501	9063

Stop Event

1×	node limit

Counts

337 → 299

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

eval168.0ms (7.2%)

Compiler: Compiled 7351 to 5620 computations (23.5% saved)

prune50.0ms (2.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	361	1	362
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	361	7	368

Accurracy

100.0%

Counts

368 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓	64.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	63.6%	(/.f64 x 2)
▶	3.4%	(-.f64 2 (/.f64 8 x))
✓	42.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	61.9%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
✓	97.1%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓	64.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	63.6%	(/.f64 x 2)
▶	3.4%	(-.f64 2 (/.f64 8 x))
✓	42.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	61.9%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))

Compiler

Compiled 104 to 80 computations (23.1% saved)

localize27.0ms (1.2%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	6	6
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓	64.2%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	63.6%	(/.f64 x 2)
✓	3.4%	(-.f64 2 (/.f64 8 x))
✓	42.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	61.9%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))

Compiler

Compiled 98 to 74 computations (24.5% saved)

regimes13.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 57 to 42 computations (26.3% saved)

regimes9.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

7.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes5.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
64.2%	1	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes17.0ms (0.7%)

Accuracy

Total -39.9b remaining (-171.4%)

Threshold costs -39.9b (-171.4%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 x 2)

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
63.6%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch15.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.5684489700925465e-9	0.00017041245616584993

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 166 to 136 computations (18.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	94
1	30	94

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6788401819125115/590295810358705651712) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6788401819125115/590295810358705651712) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 6788401819125115/590295810358705651712) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)

Compiler

Compiled 39 to 30 computations (23.1% saved)

soundness199.0ms (8.5%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
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

Compiler

Compiled 227 to 177 computations (22% saved)

end0.0ms (0%)

preprocess39.0ms (1.7%)

Compiler: Compiled 90 to 68 computations (24.4% saved)

analyze1.0ms (0.1%)

sample874.0ms (37.5%)

preprocess28.0ms (1.2%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize42.0ms (1.8%)

series4.0ms (0.2%)

rewrite105.0ms (4.5%)

simplify87.0ms (3.7%)

eval60.0ms (2.6%)

prune29.0ms (1.3%)

localize268.0ms (11.5%)

series13.0ms (0.6%)

rewrite119.0ms (5.1%)

simplify141.0ms (6.1%)

eval168.0ms (7.2%)

prune50.0ms (2.1%)

localize27.0ms (1.2%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes13.0ms (0.6%)

regimes9.0ms (0.4%)

regimes5.0ms (0.2%)

regimes17.0ms (0.7%)

bsearch15.0ms (0.7%)

simplify6.0ms (0.2%)

soundness199.0ms (8.5%)

end0.0ms (0%)

preprocess39.0ms (1.7%)

Profiling