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)

sample926.0ms (44.5%)

Results

916.0ms	8256×	body	256	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess17.0ms (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	54
1	25	50
2	39	50
3	54	50
4	66	50
5	85	50
6	109	50
7	134	50
8	135	50

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	13	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

99.8%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize37.0ms (1.8%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series6.0ms (0.3%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	-inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	0	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x 1))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 x 1))

rewrite73.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

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

simplify80.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

145 → 193

Calls

Call 1

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

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

eval84.0ms (4.1%)

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

prune41.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	189	4	193
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	5	194

Accurracy

100.0%

Counts

194 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	73.5%	(/.f64 x 2)
▶	32.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	72.4%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
▶	74.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	73.5%	(/.f64 x 2)
▶	32.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	72.4%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize148.0ms (7.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	32.9%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))

Compiler

Compiled 59 to 43 computations (27.1% saved)

series3.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
0.0ms	x	@	inf	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
0.0ms	x	@	0	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
0.0ms	x	@	inf	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
0.0ms	x	@	inf	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

rewrite90.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`prod-diff`
1214×	`fma-def`
670×	`expm1-udef`
668×	`log1p-udef`
402×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	404	47
2	5289	47

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

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

simplify118.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1926×	`fma-def`
968×	`unswap-sqr`
726×	`distribute-rgt-in`
718×	`distribute-lft-in`
526×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	4236
1	876	3668
2	2541	3616

Stop Event

1×	node limit

Counts

164 → 208

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 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 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 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (.f64 -1/8 (*.f64 x x)))
(+.f64 (.f64 x 1/2) (.f64 (.f64 -1/8 (.f64 x x)) 1))
(+.f64 (.f64 -1/8 (.f64 x x)) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 1)
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (.f64 -1/8 (.f64 x x)) 3)) (fma.f64 (.f64 x x) 1/4 (-.f64 (.f64 (.f64 -1/8 (.f64 x x)) (.f64 -1/8 (.f64 x x))) (.f64 (.f64 x 1/2) (.f64 -1/8 (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 -1/8 (.f64 x x)) (.f64 -1/8 (.f64 x x)))) (-.f64 (.f64 x 1/2) (.f64 -1/8 (.f64 x x))))
(/.f64 (.f64 x (fma.f64 -1/512 (pow.f64 x 3) 1/8)) (fma.f64 (.f64 x -1/8) (-.f64 (*.f64 x -1/8) 1/2) 1/4))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (.f64 x x) 1/64))) (+.f64 1/2 (.f64 1/8 x)))
(/.f64 (.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) x) (fma.f64 (.f64 x -1/8) (-.f64 (*.f64 x -1/8) 1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/64)) 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 x 1/2 (.f64 -1/8 (.f64 x x)))
(fma.f64 x 1/2 (.f64 (.f64 -1/8 (*.f64 x x)) 1))
(fma.f64 x (.f64 x -1/8) (.f64 x 1/2))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(fma.f64 1/2 x (.f64 (.f64 -1/8 (*.f64 x x)) 1))
(fma.f64 -1/8 (.f64 x x) (.f64 x 1/2))
(fma.f64 (.f64 x -1/8) x (.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 -1/8 (*.f64 x x)))
(fma.f64 1 (.f64 x 1/2) (.f64 (.f64 -1/8 (.f64 x x)) 1))
(fma.f64 1 (.f64 -1/8 (.f64 x x)) (*.f64 x 1/2))
(fma.f64 (.f64 x 1/2) 1 (.f64 -1/8 (*.f64 x x)))
(fma.f64 (.f64 x 1/2) 1 (.f64 (.f64 -1/8 (.f64 x x)) 1))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 x x) 1/4)) (.f64 -1/8 (*.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 x x) 1/4)) (.f64 (.f64 -1/8 (.f64 x x)) 1))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x 1/2)) (.f64 -1/8 (*.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x 1/2)) (.f64 (.f64 -1/8 (.f64 x x)) 1))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/64)) (.f64 (cbrt.f64 (.f64 x -1/8)) x) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 -1/8 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 (.f64 -1/8 (.f64 x x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x -1/8)) (*.f64 x 1/2))
(fma.f64 (.f64 x x) -1/8 (.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 -1/8 (.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 (.f64 -1/8 (*.f64 x x)) 1))
(fma.f64 (sqrt.f64 (.f64 x -1/8)) (.f64 (sqrt.f64 (.f64 x -1/8)) x) (.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 -1/8 (*.f64 x x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 (.f64 -1/8 (.f64 x x)) 1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x -1/8)) (*.f64 x 1/2))
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/8 (.f64 x x))) (cbrt.f64 (.f64 -1/8 (.f64 x x)))) (cbrt.f64 (.f64 -1/8 (.f64 x x))) (.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 -1/8 (.f64 x x))) (sqrt.f64 (.f64 -1/8 (.f64 x x))) (*.f64 x 1/2))
(fma.f64 (.f64 (sqrt.f64 (.f64 x -1/8)) (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x -1/8)) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x -1/8))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x -1/8))) (*.f64 x 1/2))
(fma.f64 (.f64 (.f64 x -1/8) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (.f64 (.f64 x -1/8) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 -1/8 (*.f64 x x)))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 -1/8 (.f64 x x)) 1))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 -1/8 (*.f64 x x)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 -1/8 (.f64 x x)) 1))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (.f64 x x) 1/64))) (cbrt.f64 (.f64 x -1/8)) (*.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -1/8))) (sqrt.f64 (.f64 x -1/8)) (.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 1)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))
(*.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))
(*.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1) x))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(/.f64 (-.f64 1 (+.f64 x 1)) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) 1 -1)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(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) (hypot.f64 1 (sqrt.f64 x)) -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 (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 (/.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 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 (.f64 x x) 1/4 4) x))
(.f64 (/.f64 x (fma.f64 (.f64 x x) 1/4 -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))

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

eval78.0ms (3.7%)

Compiler: Compiled 3416 to 2495 computations (27% saved)

prune41.0ms (2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	270	1	271
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	270	6	276

Accurracy

100.0%

Counts

276 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	73.5%	(/.f64 x 2)
✓	32.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	72.4%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
	4.6%	2
✓	74.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	73.5%	(/.f64 x 2)
✓	32.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	72.4%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
	4.6%	2

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	73.5%	(/.f64 x 2)
✓	32.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	72.4%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
	4.6%	2
✓	74.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	73.5%	(/.f64 x 2)
✓	32.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	72.4%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
	4.6%	2

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	73.5%	(/.f64 x 2)
✓	32.8%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	72.4%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
	4.6%	2

Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes11.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes9.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`x`

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes5.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
74.0%	1	`x`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 x 2)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
73.5%	1	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
2

Outputs
2

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
4.6%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch19.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.3093657535690755e-12	116770090338909820.0

Results

16.0ms

176×

body

256

valid

Compiler

Compiled 200 to 164 computations (18% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	95
1	30	95

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 5902958103587057/590295810358705651712) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 5902958103587057/590295810358705651712) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 5902958103587057/590295810358705651712) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2

Compiler

Compiled 41 to 32 computations (22% saved)

soundness205.0ms (9.9%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	195	51
2	2725	51
0	316	3885
1	715	3601
2	2364	3515

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 245 to 187 computations (23.7% saved)

end0.0ms (0%)

preprocess60.0ms (2.9%)

Compiler: Compiled 92 to 70 computations (23.9% saved)

analyze1.0ms (0.1%)

sample926.0ms (44.5%)

preprocess17.0ms (0.8%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize37.0ms (1.8%)

series6.0ms (0.3%)

rewrite73.0ms (3.5%)

simplify80.0ms (3.8%)

eval84.0ms (4.1%)

prune41.0ms (2%)

localize148.0ms (7.1%)

series3.0ms (0.1%)

rewrite90.0ms (4.3%)

simplify118.0ms (5.7%)

eval78.0ms (3.7%)

prune41.0ms (2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes11.0ms (0.6%)

regimes9.0ms (0.4%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch19.0ms (0.9%)

simplify7.0ms (0.3%)

soundness205.0ms (9.9%)

end0.0ms (0%)

preprocess60.0ms (2.9%)

Profiling