Metrics for sqrt times

analyze2.0ms (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
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample715.0ms (32.2%)

Results

701.0ms	8256×	body	256	valid
1.0ms	9×	body	256	invalid

Bogosity

preprocess51.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

20×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
6×	`*-commutative`
6×	`associate-+l+`

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	89
1	26	87
2	36	85
3	49	85
4	57	85
5	68	85
6	81	85
7	85	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))

Outputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 x) -1)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 -1 x -1)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (neg.f64 x)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 16 to 12 computations (25% saved)

localize108.0ms (4.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

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

rewrite98.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`unpow-prod-down`
586×	`prod-exp`
496×	`log-prod`
472×	`log1p-expm1-u`
472×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	122	23
2	1409	23

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

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

simplify63.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1442×	`log-prod`
1298×	`fma-def`
892×	`associate-r`
788×	`associate-l`
436×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	854
1	229	814
2	620	814
3	1726	806
4	7402	806

Stop Event

1×	node limit

Counts

30 → 47

Calls

Call 1

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

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

eval12.0ms (0.6%)

Compiler: Compiled 543 to 434 computations (20.1% saved)

prune38.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Accuracy

100.0%

Counts

48 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
▶	99.3%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
▶	98.9%	(-.f64 x 1/2)
▶	53.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x
▶	53.4%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
▶	99.3%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
▶	98.9%	(-.f64 x 1/2)
▶	53.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize178.0ms (8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.2%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓	52.4%	(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
✓	53.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))

Compiler

Compiled 67 to 46 computations (31.3% saved)

series4.0ms (0.2%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
1.0ms	x	@	0	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
1.0ms	x	@	0	(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
0.0ms	x	@	-inf	(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
0.0ms	x	@	inf	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)

rewrite71.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`prod-exp`
608×	`log-prod`
566×	`log1p-expm1-u`
566×	`expm1-log1p-u`
462×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	141	71
2	1679	67

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Outputs
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(.f64 (pow.f64 (.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (.f64 x (+.f64 x -1)) 1/12))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12) 6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 2/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) 4)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 4) 1/8)
(pow.f64 (exp.f64 2) (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(+.f64 0 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))) 1)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) 1)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 x 1/4))
(.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/12) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(fabs.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(exp.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/4))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1/2))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/12)) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/8))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/4)) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) 2))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 x)) (.f64 (log.f64 (+.f64 x -1)) 1/4)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/4) (.f64 1/4 (log.f64 (+.f64 x -1)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/4) (.f64 (log.f64 (+.f64 x -1)) 1/4)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (+.f64 x -1))) (.f64 (log.f64 x) 1/4)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 1/4) (.f64 1/4 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 1/4) (.f64 (log.f64 x) 1/4)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8)) (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/8) (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/8) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/8)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(.f64 (pow.f64 (.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (.f64 x (+.f64 x -1)) 1/12))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))

simplify173.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

1818×	`fma-def`
578×	`unswap-sqr`
570×	`*-commutative`
528×	`exp-prod`
488×	`exp-sum`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	309	5181
1	703	4818
2	1867	4598
3	6049	4470

Stop Event

1×	node limit

Counts

163 → 190

Calls

Call 1

Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 -1/4 (.f64 x (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (.f64 -1/4 (.f64 x (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (.f64 -3/32 (.f64 (pow.f64 x 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (.f64 -1/4 (.f64 x (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 x 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (.f64 -7/128 (.f64 (pow.f64 x 3) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (+.f64 (.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (+.f64 (.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1))) (+.f64 (.f64 -7/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -3/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 1/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -3/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 1/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -7/64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 3/64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))))
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(.f64 (pow.f64 (.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (.f64 x (+.f64 x -1)) 1/12))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12) 6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 2/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) 4)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 4) 1/8)
(pow.f64 (exp.f64 2) (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(+.f64 0 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))) 1)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) 1)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 x 1/4))
(.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/12) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(fabs.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(exp.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/4))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1/2))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/12)) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/8))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/4)) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) 2))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 x)) (.f64 (log.f64 (+.f64 x -1)) 1/4)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/4) (.f64 1/4 (log.f64 (+.f64 x -1)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/4) (.f64 (log.f64 (+.f64 x -1)) 1/4)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (+.f64 x -1))) (.f64 (log.f64 x) 1/4)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 1/4) (.f64 1/4 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 1/4) (.f64 (log.f64 x) 1/4)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8)) (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/8) (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/8) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/8)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(.f64 (pow.f64 (.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (.f64 x (+.f64 x -1)) 1/12))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))

Outputs
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (-.f64 -1/2 (/.f64 1/8 x)))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (-.f64 -1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (+.f64 (/.f64 -1/8 x) (-.f64 -1/2 (/.f64 1/16 (pow.f64 x 2)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (neg.f64 x))
(-.f64 1/2 x)
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1 x (/.f64 1/8 x)))
(+.f64 1/2 (-.f64 (/.f64 1/8 x) x))
(+.f64 1/2 (+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1 x (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 (+.f64 1/2 (-.f64 (/.f64 1/8 x) x)) (/.f64 1/16 (pow.f64 x 2)))
(+.f64 (/.f64 1/16 (pow.f64 x 2)) (+.f64 1/2 (-.f64 (/.f64 1/8 x) x)))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4))
(pow.f64 (neg.f64 x) 1/4)
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 -1/4 (.f64 x (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (.f64 -1/4 (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))))))
(.f64 (+.f64 (.f64 x -1/4) 1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))))
(.f64 (.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)) (fma.f64 x -1/4 1))
(*.f64 (pow.f64 (neg.f64 x) 1/4) (fma.f64 x -1/4 1))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (.f64 -1/4 (.f64 x (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (.f64 -3/32 (.f64 (pow.f64 x 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (fma.f64 -1/4 (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 (*.f64 -3/32 (pow.f64 x 2)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (+.f64 (.f64 x -1/4) (*.f64 (pow.f64 x 2) -3/32))))
(.f64 (.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)) (+.f64 (fma.f64 x -1/4 1) (*.f64 (pow.f64 x 2) -3/32)))
(.f64 (pow.f64 (neg.f64 x) 1/4) (+.f64 (fma.f64 x -1/4 1) (.f64 (pow.f64 x 2) -3/32)))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (.f64 -1/4 (.f64 x (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 x 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))) (.f64 -7/128 (.f64 (pow.f64 x 3) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (fma.f64 -1/4 (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (fma.f64 -3/32 (.f64 (pow.f64 x 2) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 (.f64 -7/128 (pow.f64 x 3)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))))))
(+.f64 (.f64 (+.f64 (.f64 x -1/4) 1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (+.f64 (.f64 (pow.f64 x 2) -3/32) (*.f64 -7/128 (pow.f64 x 3)))))
(fma.f64 (pow.f64 -1 1/4) (pow.f64 x 1/4) (.f64 (.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)) (+.f64 (.f64 x -1/4) (.f64 (pow.f64 x 2) (+.f64 (*.f64 x -7/128) -3/32)))))
(fma.f64 (pow.f64 (neg.f64 x) 1/4) (.f64 (pow.f64 x 2) (+.f64 (.f64 x -7/128) -3/32)) (*.f64 (pow.f64 (neg.f64 x) 1/4) (fma.f64 x -1/4 1)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 x) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 x) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (sqrt.f64 x) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (sqrt.f64 x) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(*.f64 (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 -1))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (+.f64 (.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (fma.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 x) (sqrt.f64 -1))))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))))))
(*.f64 (sqrt.f64 -1) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1))) (+.f64 (.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1))) (+.f64 (.f64 -7/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 -1)))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (fma.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1)) (fma.f64 -7/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 -1)) (.f64 (sqrt.f64 x) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 -1) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (*.f64 (sqrt.f64 -1) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 x) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 -1/4 (sqrt.f64 (/.f64 1 x)))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)
(pow.f64 (*.f64 x (exp.f64 (log.f64 -1))) 1/2)
(sqrt.f64 (neg.f64 x))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))
(fma.f64 -1/2 (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2))
(.f64 (+.f64 (.f64 x -1/2) 1) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2))
(.f64 (pow.f64 (.f64 x (exp.f64 (log.f64 -1))) 1/2) (fma.f64 x -1/2 1))
(*.f64 (sqrt.f64 (neg.f64 x)) (fma.f64 x -1/2 1))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -3/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 1/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))
(fma.f64 -1/2 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)) (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2) -1/8) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)))
(+.f64 (.f64 (+.f64 (.f64 x -1/2) 1) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2) -1/8)))
(fma.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 x (exp.f64 (log.f64 -1))) 1/2) -1/8) (.f64 (pow.f64 (.f64 x (exp.f64 (log.f64 -1))) 1/2) (fma.f64 x -1/2 1)))
(fma.f64 (pow.f64 x 2) (.f64 (sqrt.f64 (neg.f64 x)) -1/8) (.f64 (sqrt.f64 (neg.f64 x)) (fma.f64 x -1/2 1)))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -3/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 1/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -7/64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 3/64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))))
(fma.f64 -1/2 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)) (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2) -1/8) (fma.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2) -1/16) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 x 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2) -1/8) (.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2) -1/16))) (.f64 (+.f64 (*.f64 x -1/2) 1) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)))
(+.f64 (.f64 (pow.f64 (.f64 x (exp.f64 (log.f64 -1))) 1/2) (fma.f64 x -1/2 1)) (.f64 (pow.f64 (.f64 x (exp.f64 (log.f64 -1))) 1/2) (+.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 (pow.f64 x 3) -1/16))))
(+.f64 (.f64 (sqrt.f64 (neg.f64 x)) (fma.f64 x -1/2 1)) (.f64 (sqrt.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 (pow.f64 x 3) -1/16))))
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (-.f64 -1/2 (/.f64 1/8 x)))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (-.f64 -1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (+.f64 (/.f64 -1/8 x) (-.f64 -1/2 (/.f64 1/16 (pow.f64 x 2)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (neg.f64 x))
(-.f64 1/2 x)
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1 x (/.f64 1/8 x)))
(+.f64 1/2 (-.f64 (/.f64 1/8 x) x))
(+.f64 1/2 (+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1 x (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 (+.f64 1/2 (-.f64 (/.f64 1/8 x) x)) (/.f64 1/16 (pow.f64 x 2)))
(+.f64 (/.f64 1/16 (pow.f64 x 2)) (+.f64 1/2 (-.f64 (/.f64 1/8 x) x)))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(.f64 (pow.f64 (.f64 x (*.f64 (+.f64 x -1) (+.f64 x -1))) 1/4) (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 x (pow.f64 (+.f64 x -1) 2)) 1/4) (pow.f64 x 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (.f64 x (*.f64 x (+.f64 x -1))) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (.f64 (pow.f64 x 2) (+.f64 x -1)) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 2)) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (.f64 x (+.f64 x -1)) 1/12))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/12))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/12) 6)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/4)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 2/3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8) 4)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 4) 1/8)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (exp.f64 2) (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x -1))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) 2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(+.f64 0 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))) 1)
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) 1)
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (log.f64 (exp.f64 1)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(*.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x -1) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/12))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/12) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(fabs.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/2))
(sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1/2))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1/2))
(sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) 1))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/12)) 3))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/8))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/4)) 1/3))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8)) 2))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8) 2))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (.f64 1/4 (log.f64 x)) (.f64 (log.f64 (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/4) (.f64 1/4 (log.f64 (+.f64 x -1)))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/4) (.f64 (log.f64 (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (+.f64 x -1))) (.f64 (log.f64 x) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 1/4) (.f64 1/4 (log.f64 x))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 1/4) (.f64 (log.f64 x) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8)) (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/8)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/8) (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/8) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/8)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))) 1/4))
(.f64 (pow.f64 (.f64 x (*.f64 (+.f64 x -1) (+.f64 x -1))) 1/4) (pow.f64 x 1/4))
(.f64 (pow.f64 (.f64 x (pow.f64 (+.f64 x -1) 2)) 1/4) (pow.f64 x 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (*.f64 x (+.f64 x -1)) 3/8))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/8) (pow.f64 (*.f64 x (+.f64 x -1)) 1/8))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 (*.f64 x (+.f64 x -1)) x) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (.f64 x (*.f64 x (+.f64 x -1))) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (.f64 (pow.f64 x 2) (+.f64 x -1)) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 2)) 1/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (.f64 x (+.f64 x -1)) 1/12))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 5/6) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/12))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) 2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/4))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1/3))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 1)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1))))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) 1)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))

eval161.0ms (7.2%)

Compiler: Compiled 2974 to 2246 computations (24.5% saved)

prune25.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	1	1
Picked	1	3	4
Done	0	0	0
Total	190	5	195

Accuracy

100.0%

Counts

195 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
✓	99.3%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.9%	(-.f64 x 1/2)
✓	53.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x
▶	53.2%	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
✓	99.3%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.9%	(-.f64 x 1/2)
✓	53.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x

Compiler

Compiled 60 to 44 computations (26.7% saved)

localize43.0ms (1.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.5%	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
✓	52.3%	(cbrt.f64 (*.f64 x (+.f64 x -1)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
0.0ms	x	@	0	(cbrt.f64 (*.f64 x (+.f64 x -1)))
0.0ms	x	@	inf	(cbrt.f64 (*.f64 x (+.f64 x -1)))

rewrite65.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`unpow-prod-down`
532×	`log-prod`
520×	`log1p-expm1-u`
520×	`expm1-log1p-u`
502×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	126	46
2	1545	44

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)

Outputs
(+.f64 0 (cbrt.f64 (*.f64 x (+.f64 x -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 1)
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 1)
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (log.f64 (exp.f64 1)))
(.f64 1 (cbrt.f64 (.f64 x (+.f64 x -1))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 2))) (pow.f64 (.f64 (cbrt.f64 x) (+.f64 x -1)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (sqrt.f64 x) (+.f64 x -1)) 1/3))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (.f64 (cbrt.f64 (+.f64 x -1)) x) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (.f64 (sqrt.f64 (+.f64 x -1)) x) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2)) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2)) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/6) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (+.f64 x -1))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 x 2))) 1/3) (cbrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (sqrt.f64 x)) 1/3) (cbrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) (cbrt.f64 x)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2) 3) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 3))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/9)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 1/3) (log.f64 (*.f64 x (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1/4) 2))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (pow.f64 1 1/2))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 4) 3/4))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3/4))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/4))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 2))) (pow.f64 (.f64 (cbrt.f64 x) (+.f64 x -1)) 1/2))
(.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (sqrt.f64 x) (+.f64 x -1)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (.f64 (cbrt.f64 (+.f64 x -1)) x) 1/2))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (.f64 (sqrt.f64 (+.f64 x -1)) x) 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/4) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/6) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (+.f64 x -1))) 1/2) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 x 2))) 1/2) (sqrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) (cbrt.f64 x)) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2) 1/2) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/4) (pow.f64 (.f64 x (+.f64 x -1)) 1/8))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 3/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 4) 3/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (cbrt.f64 x)) 3/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 5) 3/4) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1/4))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 3))
(*.f64 (pow.f64 (pow.f64 x 1/4) 2) (pow.f64 (pow.f64 (+.f64 x -1) 1/4) 2))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/3) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 1) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 x (+.f64 x -1)))) 3/4))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (*.f64 x (+.f64 x -1)))) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3/4) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)) 1/3))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/3) (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/3)))
(exp.f64 (+.f64 (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 1)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4) (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4) (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))

simplify102.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1238×	`unswap-sqr`
828×	`fma-def`
764×	`*-commutative`
644×	`log-prod`
542×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	319	4294972505
1	727	4393
2	1892	4359
3	5924	4345

Stop Event

1×	node limit

Counts

123 → 186

Calls

Call 1

Inputs
(+.f64 0 (cbrt.f64 (*.f64 x (+.f64 x -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 1)
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 1)
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (log.f64 (exp.f64 1)))
(.f64 1 (cbrt.f64 (.f64 x (+.f64 x -1))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 2))) (pow.f64 (.f64 (cbrt.f64 x) (+.f64 x -1)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (sqrt.f64 x) (+.f64 x -1)) 1/3))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (.f64 (cbrt.f64 (+.f64 x -1)) x) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (.f64 (sqrt.f64 (+.f64 x -1)) x) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2)) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2)) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/6) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (+.f64 x -1))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 x 2))) 1/3) (cbrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (sqrt.f64 x)) 1/3) (cbrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) (cbrt.f64 x)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2) 3) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 3))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/9)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 1/3) (log.f64 (*.f64 x (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1/4) 2))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (pow.f64 1 1/2))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 4) 3/4))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3/4))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/4))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 2))) (pow.f64 (.f64 (cbrt.f64 x) (+.f64 x -1)) 1/2))
(.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (sqrt.f64 x) (+.f64 x -1)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (.f64 (cbrt.f64 (+.f64 x -1)) x) 1/2))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (.f64 (sqrt.f64 (+.f64 x -1)) x) 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/4) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/6) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (+.f64 x -1))) 1/2) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 x 2))) 1/2) (sqrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) (cbrt.f64 x)) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2) 1/2) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/4) (pow.f64 (.f64 x (+.f64 x -1)) 1/8))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 3/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 4) 3/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (cbrt.f64 x)) 3/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 5) 3/4) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1/4))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 3))
(*.f64 (pow.f64 (pow.f64 x 1/4) 2) (pow.f64 (pow.f64 (+.f64 x -1) 1/4) 2))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/3) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 1) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 x (+.f64 x -1)))) 3/4))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (*.f64 x (+.f64 x -1)))) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3/4) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)) 1/3))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/3) (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/3)))
(exp.f64 (+.f64 (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 1)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4) (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4) (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))

Outputs
(+.f64 0 (cbrt.f64 (*.f64 x (+.f64 x -1))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 1)
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 1)
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (log.f64 (exp.f64 1)))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 1 (cbrt.f64 (.f64 x (+.f64 x -1))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x -1)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 2))) (pow.f64 (.f64 (cbrt.f64 x) (+.f64 x -1)) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (.f64 (+.f64 x -1) (cbrt.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (sqrt.f64 x) (+.f64 x -1)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (.f64 (+.f64 x -1) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (-.f64 (pow.f64 x 3/2) (sqrt.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (.f64 (cbrt.f64 (+.f64 x -1)) x) 1/3))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (.f64 x (cbrt.f64 (+.f64 x -1)))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (.f64 (sqrt.f64 (+.f64 x -1)) x) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1))) (cbrt.f64 (.f64 x (sqrt.f64 (+.f64 x -1)))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2)) 3/2))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2)) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 2)) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)))) 4) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)))) 2) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/6) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/6)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 5/6)) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6)))
(.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (+.f64 x -1))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x -1))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1))) (cbrt.f64 (.f64 x (sqrt.f64 (+.f64 x -1)))))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 x 2))) 1/3) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (sqrt.f64 x)) 1/3) (cbrt.f64 (sqrt.f64 x)))
(.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (.f64 (+.f64 x -1) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (-.f64 (pow.f64 x 3/2) (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) (cbrt.f64 x)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 2))))
(.f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 4) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 8)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2) 3) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 3))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/3)
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1)
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 2/3)
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) 1/2)
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3)
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 2) 3/2)
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/6)
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/9)
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3) 1/18) (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/18))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3) 1/18) (pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3) 1/18))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 2)
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (exp.f64 1/3) (log.f64 (*.f64 x (+.f64 x -1))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/3))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 1))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))) 3/2))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/3))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/3) 1))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 1) 1))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 3))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (*.f64 x (+.f64 x -1)))
(cbrt.f64 (-.f64 (pow.f64 x 2) x))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1/4) 2))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (pow.f64 1 1/2))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 4) 3/4))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 4) 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 4) 3/4) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3/4))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (cbrt.f64 (+.f64 x -1))) 3/4))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (cbrt.f64 (+.f64 x -1))) 3/4))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/4))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/8) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/4))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 1/2))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)) (fabs.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/8)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/8) (pow.f64 (-.f64 (pow.f64 x 2) x) 3/8))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 2))) (pow.f64 (.f64 (cbrt.f64 x) (+.f64 x -1)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 2))) (sqrt.f64 (.f64 (+.f64 x -1) (cbrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (sqrt.f64 x) (+.f64 x -1)) 1/2))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (+.f64 x -1) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 (pow.f64 x 3/2) (sqrt.f64 x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (pow.f64 (.f64 (cbrt.f64 (+.f64 x -1)) x) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (sqrt.f64 (.f64 x (cbrt.f64 (+.f64 x -1)))))
(.f64 (fabs.f64 (cbrt.f64 (+.f64 x -1))) (sqrt.f64 (.f64 x (cbrt.f64 (+.f64 x -1)))))
(.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (.f64 x (cbrt.f64 (+.f64 x -1)))))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (pow.f64 (.f64 (sqrt.f64 (+.f64 x -1)) x) 1/2))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (.f64 x (sqrt.f64 (+.f64 x -1)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 4))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 4))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (cbrt.f64 (+.f64 x -1)) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/4) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)) (fabs.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3/8)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/8) (pow.f64 (-.f64 (pow.f64 x 2) x) 3/8))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/6) 1/2) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/6)) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 5/6)) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/12) (pow.f64 (-.f64 (pow.f64 x 2) x) 5/12))
(.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1))) (sqrt.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1))) (fabs.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x -1)))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (+.f64 x -1))) 1/2) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (.f64 x (sqrt.f64 (+.f64 x -1)))))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 x 2))) 1/2) (sqrt.f64 (cbrt.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 x 2)))))
(.f64 (pow.f64 (.f64 (+.f64 x -1) (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (+.f64 x -1) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 (pow.f64 x 3/2) (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) (cbrt.f64 x)) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1))) (sqrt.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1))) (sqrt.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1))) (fabs.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (sqrt.f64 (cbrt.f64 x)))))
(.f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1))))) 2) 1/2) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/4) (pow.f64 (.f64 x (+.f64 x -1)) 1/8))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/8) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/4))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/8) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 3/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 4) 3/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 4) 3/4))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 4) 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 4) 3/4) (pow.f64 (-.f64 (pow.f64 x 2) x) 1/6))
(.f64 (pow.f64 (.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (cbrt.f64 x)) 3/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) (cbrt.f64 x)) 3/4) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 5) 3/4) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1/4))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 5) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 5) 3/4))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 2)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 3))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(*.f64 (pow.f64 (pow.f64 x 1/4) 2) (pow.f64 (pow.f64 (+.f64 x -1) 1/4) 2))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/4) 1/3) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 5/4)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4)) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 5/4)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/3) 3/2))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 1) 3/2))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (*.f64 x (+.f64 x -1)))) 3/4))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (*.f64 x (+.f64 x -1)))) 3))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3/4) 2))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)) 1/3))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/3) (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1))))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 1) (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1))))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/3)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 1/6 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 1)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4)))
(exp.f64 (fma.f64 1/4 (log.f64 (.f64 x (+.f64 x -1))) (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3/4)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 3/4))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4) (.f64 1/4 (log.f64 (.f64 x (+.f64 x -1))))))
(exp.f64 (fma.f64 1/4 (log.f64 (.f64 x (+.f64 x -1))) (.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))) 3/4)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 1/4) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 3/4))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4) (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/4)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))

eval63.0ms (2.9%)

Compiler: Compiled 2784 to 2067 computations (25.8% saved)

prune23.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	186	5	191

Accuracy

100.0%

Counts

191 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.2%	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
✓	99.3%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.9%	(-.f64 x 1/2)
✓	53.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x
✓	53.2%	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
✓	99.3%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.9%	(-.f64 x 1/2)
✓	53.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x

Compiler

Compiled 60 to 44 computations (26.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.2%	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
✓	99.3%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.9%	(-.f64 x 1/2)
✓	53.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x

Compiler

Compiled 72 to 52 computations (27.8% saved)

regimes57.0ms (2.6%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(-.f64 x 1/2)
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)

Outputs
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))

Calls

2 calls:

51.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
5.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes3.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(-.f64 x 1/2)

Outputs
(-.f64 x 1/2)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.9%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

92×	`unsub-neg`
44×	`neg-mul-1`
30×	`distribute-lft-neg-in`
20×	`sub-neg`
20×	`distribute-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	18	39
2	31	39
3	42	39
4	61	39
5	76	39
6	96	39
7	140	39
8	191	39

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness120.0ms (5.4%)

Rules

1442×	`log-prod`
1298×	`fma-def`
892×	`associate-r`
788×	`associate-l`
436×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	854
1	229	814
2	620	814
3	1726	806
4	7402	806

Stop Event

1×	node limit

Compiler

Compiled 175 to 143 computations (18.3% saved)

end0.0ms (0%)

preprocess25.0ms (1.1%)

Compiler: Compiled 40 to 28 computations (30% saved)

analyze2.0ms (0.1%)

sample715.0ms (32.2%)

preprocess51.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize108.0ms (4.9%)

series1.0ms (0.1%)

rewrite98.0ms (4.4%)

simplify63.0ms (2.8%)

eval12.0ms (0.6%)

prune38.0ms (1.7%)

localize178.0ms (8%)

series4.0ms (0.2%)

rewrite71.0ms (3.2%)

simplify173.0ms (7.8%)

eval161.0ms (7.2%)

prune25.0ms (1.1%)

localize43.0ms (1.9%)

series3.0ms (0.1%)

rewrite65.0ms (2.9%)

simplify102.0ms (4.6%)

eval63.0ms (2.9%)

prune23.0ms (1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes57.0ms (2.6%)

regimes3.0ms (0.2%)

regimes3.0ms (0.1%)

simplify5.0ms (0.2%)

soundness120.0ms (5.4%)

end0.0ms (0%)

preprocess25.0ms (1.1%)

Profiling