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)

sample756.0ms (28.3%)

Results

744.0ms	8253×	body	256	valid
1.0ms	3×	body	2048	valid

Bogosity

preprocess21.0ms (0.8%)

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	77
1	25	73
2	39	73
3	54	73
4	66	73
5	85	73
6	109	73
7	134	73
8	135	73

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 x (+.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 (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 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

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)

localize44.0ms (1.6%)

Localize:

Found 3 expressions with local error:

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	@	-inf	(+.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)))

rewrite79.0ms (2.9%)

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)

simplify68.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1584×	`fma-def`
892×	`unswap-sqr`
880×	`distribute-lft-in`
852×	`distribute-rgt-in`
426×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	3901
1	698	3617
2	2341	3517

Stop Event

1×	node limit

Counts

145 → 194

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

eval90.0ms (3.4%)

Compiler: Compiled 2608 to 2036 computations (21.9% saved)

prune59.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	188	6	194
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	7	195

Accuracy

100.0%

Counts

195 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
▶	67.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶	67.5%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	66.8%	(/.f64 x 2)
	39.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	65.3%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
▶	97.4%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
▶	67.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶	67.5%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	66.8%	(/.f64 x 2)
	39.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	65.3%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))

Compiler

Compiled 206 to 158 computations (23.3% saved)

localize110.0ms (4.1%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	100.0%	(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
✓	100.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
✓	100.0%	(log1p.f64 x)
✓	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))))
✓	97.4%	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))

Compiler

Compiled 99 to 68 computations (31.3% saved)

series12.0ms (0.4%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(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	(/.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)))

rewrite129.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`expm1-udef`
746×	`log1p-udef`
502×	`add-sqr-sqrt`
488×	`pow1`
486×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	120
1	499	110
2	7107	110

Stop Event

1×	node limit

Counts

8 → 291

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

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

simplify150.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1144×	`log-prod`
690×	`associate-r`
620×	`fma-def`
618×	`fma-neg`
548×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	639	12181
1	1678	10423
2	6769	10385

Stop Event

1×	node limit

Counts

387 → 397

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

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

eval193.0ms (7.2%)

Compiler: Compiled 8068 to 6088 computations (24.5% saved)

prune60.0ms (2.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	395	2	397
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	395	9	404

Accuracy

100.0%

Counts

404 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.1%	(/.f64 x (/.f64 (-.f64 4 (.f64 (.f64 x x) 1/4)) (-.f64 2 (*.f64 1/2 x))))
✓	97.4%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓	67.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	67.5%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	66.8%	(/.f64 x 2)
▶	3.4%	(-.f64 2 (/.f64 8 x))
▶	39.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	65.3%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
▶	67.1%	(/.f64 x (/.f64 (-.f64 4 (.f64 (.f64 x x) 1/4)) (-.f64 2 (*.f64 1/2 x))))
✓	97.4%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓	67.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	67.5%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	66.8%	(/.f64 x 2)
▶	3.4%	(-.f64 2 (/.f64 8 x))
▶	39.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	65.3%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))

Compiler

Compiled 156 to 120 computations (23.1% saved)

localize176.0ms (6.6%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 x (/.f64 (-.f64 4 (.f64 (.f64 x x) 1/4)) (-.f64 2 (*.f64 1/2 x))))
✓	86.2%	(/.f64 (-.f64 4 (.f64 (.f64 x x) 1/4)) (-.f64 2 (*.f64 1/2 x)))
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	39.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

Compiler

Compiled 85 to 58 computations (31.8% saved)

series2.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

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

rewrite99.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`fma-def`
714×	`expm1-udef`
708×	`log1p-udef`
448×	`add-sqr-sqrt`
432×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	455	49
2	6247	41

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

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

simplify80.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1282×	`fma-def`
1254×	`unswap-sqr`
980×	`distribute-lft-in`
478×	`log-prod`
296×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	4195
1	905	3955
2	2929	3943

Stop Event

1×	node limit

Counts

171 → 215

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

eval90.0ms (3.4%)

Compiler: Compiled 3880 to 2942 computations (24.2% saved)

prune40.0ms (1.5%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	280	9	289

Accuracy

100.0%

Counts

289 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.1%	(/.f64 x (/.f64 (-.f64 4 (.f64 (.f64 x x) 1/4)) (-.f64 2 (*.f64 1/2 x))))
✓	97.4%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓	67.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	67.5%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	66.8%	(/.f64 x 2)
✓	3.4%	(-.f64 2 (/.f64 8 x))
✓	39.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	65.3%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))

Compiler

Compiled 148 to 112 computations (24.3% saved)

regimes15.0ms (0.6%)

Counts

9 → 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 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 x (/.f64 (-.f64 4 (.f64 (.f64 x x) 1/4)) (-.f64 2 (*.f64 1/2 x))))
(+.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:

6.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	x

Results

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

Compiler

Compiled 81 to 60 computations (25.9% saved)

regimes12.0ms (0.5%)

Counts

7 → 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 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 x (/.f64 (-.f64 4 (.f64 (.f64 x x) 1/4)) (-.f64 2 (*.f64 1/2 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:

11.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 55 to 41 computations (25.5% saved)

regimes7.0ms (0.2%)

Counts

6 → 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 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 x (/.f64 (-.f64 4 (.f64 (.f64 x x) 1/4)) (-.f64 2 (*.f64 1/2 x))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
67.5%	1	`x`

Compiler

Compiled 49 to 36 computations (26.5% saved)

regimes5.0ms (0.2%)

Accuracy

Total -41.9b remaining (-197.1%)

Threshold costs -41.9b (-197.1%)

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:

4.0ms

Results

Accuracy	Segments	Branch
66.8%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch12.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.5695768146581647e-6	2.776253851655479e-5

Results

10.0ms

112×

body

256

valid

Compiler

Compiled 132 to 108 computations (18.2% saved)

simplify5.0ms (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 3984496719921263/295147905179352825856) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 3984496719921263/295147905179352825856) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 3984496719921263/295147905179352825856) (/.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)

soundness300.0ms (11.2%)

Rules

1584×	`fma-def`
1584×	`fma-def`
892×	`unswap-sqr`
892×	`unswap-sqr`
882×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	3901
1	698	3617
2	2341	3517
0	9	51
1	195	51
2	2725	51
0	311	3901
1	698	3617
2	2341	3517

Stop Event

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

Compiler

Compiled 242 to 188 computations (22.3% saved)

end0.0ms (0%)

preprocess49.0ms (1.8%)

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

analyze1.0ms (0.1%)

sample756.0ms (28.3%)

preprocess21.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (1.6%)

series4.0ms (0.2%)

rewrite79.0ms (2.9%)

simplify68.0ms (2.5%)

eval90.0ms (3.4%)

prune59.0ms (2.2%)

localize110.0ms (4.1%)

series12.0ms (0.4%)

rewrite129.0ms (4.8%)

simplify150.0ms (5.6%)

eval193.0ms (7.2%)

prune60.0ms (2.3%)

localize176.0ms (6.6%)

series2.0ms (0.1%)

rewrite99.0ms (3.7%)

simplify80.0ms (3%)

eval90.0ms (3.4%)

prune40.0ms (1.5%)

regimes15.0ms (0.6%)

regimes12.0ms (0.5%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch12.0ms (0.5%)

simplify5.0ms (0.2%)

soundness300.0ms (11.2%)

end0.0ms (0%)

preprocess49.0ms (1.8%)

Profiling