Metrics for arccos

analyze10.0ms (0.2%)

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%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
40%	25%	37.5%	0%	0%	37.5%	0%	4
66.7%	37.5%	18.7%	0%	0%	43.7%	0%	5
82.4%	43.7%	9.4%	0%	0%	46.9%	0%	6
90.9%	46.9%	4.7%	0%	0%	48.4%	0%	7
95.4%	48.4%	2.3%	0%	0%	49.2%	0%	8
97.7%	49.2%	1.2%	0%	0%	49.6%	0%	9
98.8%	49.6%	0.6%	0%	0%	49.8%	0%	10
99.4%	49.8%	0.3%	0%	0%	49.9%	0%	11
99.7%	49.9%	0.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.4s (21.3%)

Results

1.4s	8256×	body	256	valid
1.0ms	10×	body	256	invalid

Bogosity

preprocess65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1490×	`fma-def`
366×	`div-sub`
250×	`times-frac`
190×	`associate-/r*`
174×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	103
1	37	99
2	61	99
3	133	99
4	351	99
5	931	99
6	1702	99
7	2097	99
8	2417	99

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize208.0ms (3.1%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 46 to 35 computations (23.9% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`log-prod`
622×	`prod-diff`
612×	`pow-prod-down`
494×	`pow-prod-up`
476×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	213	27
2	2879	27

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

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

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1874×	`fma-def`
1240×	`distribute-lft-in`
1088×	`distribute-rgt-in`
710×	`log-prod`
552×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	988
1	142	828
2	418	828
3	2621	828
4	7843	828

Stop Event

1×	node limit

Counts

30 → 31

Calls

Call 1

Inputs
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))

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

eval11.0ms (0.2%)

Compiler: Compiled 501 to 429 computations (14.4% saved)

prune7.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Accuracy

100.0%

Counts

32 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(*.f64 2 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
▶	98.5%	(*.f64 2 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	96.9%	(*.f64 2 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
▶	98.5%	(*.f64 2 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 110 to 94 computations (14.5% saved)

localize709.0ms (10.5%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
	100.0%	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
✓	100.0%	(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
✓	98.5%	(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	100.0%	(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
✓	100.0%	(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
	100.0%	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
✓	98.5%	(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))

Compiler

Compiled 190 to 152 computations (20% saved)

series141.0ms (2.1%)

Counts

5 → 36

Calls

15 calls:

Time	Variable		Point	Expression
52.0ms	x	@	0	(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
43.0ms	x	@	inf	(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
31.0ms	x	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
4.0ms	x	@	0	(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms	x	@	-inf	(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

rewrite168.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`log-prod`
702×	`pow-exp`
622×	`prod-diff`
512×	`expm1-udef`
508×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	163
1	331	157
2	3925	157

Stop Event

1×	node limit

Counts

5 → 173

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)

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

simplify197.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1590×	`log-prod`
1290×	`exp-prod`
1084×	`cube-prod`
878×	`swap-sqr`
792×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	8051
1	706	7373
2	3667	7349

Stop Event

1×	node limit

Counts

209 → 206

Calls

Call 1

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

Outputs
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))))))
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))))))
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))))))
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))))))
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))))
(sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x))))) 1/3)
(cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 0)
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)
(+.f64 0 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)
(+.f64 (.f64 1/3 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (.f64 1/3 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)
(+.f64 (.f64 1/4 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (.f64 1/4 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)
(+.f64 (.f64 1/3 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (*.f64 1/3 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
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eval994.0ms (14.8%)

Compiler: Compiled 15349 to 13243 computations (13.7% saved)

prune190.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	508	1	509
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	509	3	512

Accuracy

100.0%

Counts

512 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(*.f64 2 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
▶	98.5%	(.f64 2 (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	96.9%	(*.f64 2 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
▶	98.5%	(.f64 2 (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 120 to 104 computations (13.3% saved)

localize463.0ms (6.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	100.0%	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
✓	98.5%	(.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
✓	98.5%	(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))
✓	98.5%	(expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))

Compiler

Compiled 164 to 137 computations (16.5% saved)

series134.0ms (2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
63.0ms	x	@	0	(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))
34.0ms	x	@	-inf	(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))
33.0ms	x	@	inf	(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))
1.0ms	x	@	-inf	(expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
1.0ms	x	@	0	(expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))

rewrite194.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`prod-diff`
996×	`fma-def`
574×	`expm1-udef`
572×	`log1p-udef`
420×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	139
1	340	119
2	4571	119

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

Inputs
(expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))
(.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))

Inputs

(expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))

(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))

(*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))

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

simplify306.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

294×	`associate-r`
268×	`associate-l`
250×	`fma-def`
130×	`sqr-pow`
122×	`fma-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	6497
1	689	6497
2	3043	6497

Stop Event

1×

unsound

Counts

171 → 143

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(-.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 1)
(-.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 1)
(-.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 1)
(-.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 1)
(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log.f64 (pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 2))
(log.f64 (pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 2))
(log.f64 (pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 2))
(log.f64 (pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 2))
(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))) 2)
(+.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2) -1)
(-.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2) 1)
(.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(.f64 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(/.f64 (expm1.f64 (.f64 2 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2) 1))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2) 2) (+.f64 1 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2))))
(pow.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(fma.f64 1 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2) -1)
(fma.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2)) 2) (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2)) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2)) 1) -1)
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(fma.f64 (.f64 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2))) (sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2)) (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2))
(fma.f64 (.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2))
(fma.f64 (.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2) (sqrt.f64 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/2))

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

eval369.0ms (5.5%)

Compiler: Compiled 9784 to 8551 computations (12.6% saved)

prune113.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	237	1	238
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	238	3	241

Accuracy

100.0%

Counts

241 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(*.f64 2 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
▶	98.5%	(.f64 2 (log.f64 (pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	96.9%	(*.f64 2 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
▶	98.5%	(.f64 2 (log.f64 (pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 90 to 78 computations (13.3% saved)

localize454.0ms (6.7%)

Localize:

Found 3 expressions with local error:

New

Accuracy

Program

100.0%

(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

✓

98.5%

(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)

✓

98.5%

(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))

Compiler

Compiled 105 to 86 computations (18.1% saved)

series20.0ms (0.3%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
6.0ms	x	@	0	(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
6.0ms	x	@	-inf	(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
0.0ms	x	@	-inf	(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)
0.0ms	x	@	inf	(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)

rewrite90.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`log-prod`
622×	`prod-diff`
612×	`pow-exp`
512×	`expm1-udef`
508×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	332	58
2	4108	58

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)

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

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1592×	`log-prod`
1144×	`exp-prod`
984×	`exp-sum`
682×	`associate-+r+`
620×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	4690
1	340	3020
2	1317	2970
3	5851	2880

Stop Event

1×	node limit

Counts

84 → 91

Calls

Call 1

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

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

eval124.0ms (1.8%)

Compiler: Compiled 2865 to 2479 computations (13.5% saved)

prune18.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Accuracy

100.0%

Counts

125 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

96.9%

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

✓

98.5%

(*.f64 2 (log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)))

✓

100.0%

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

Compiler

Compiled 147 to 127 computations (13.6% saved)

regimes17.0ms (0.2%)

Accuracy

Total -2.0b remaining (-16752.3%)

Threshold costs -2b (-16752.3%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(.f64 2 (log.f64 (pow.f64 (exp.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)))
(.f64 2 (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (+.f64 1 (expm1.f64 (.f64 1/2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))
(*.f64 2 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))

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

Calls

5 calls:

5.0ms	x
2.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))`
100.0%	1	`(/.f64 (-.f64 1 x) (+.f64 1 x))`

Compiler

Compiled 143 to 120 computations (16.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
4×	`sub-neg`
4×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	33
2	22	33
3	24	33
4	25	33

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess24.0ms (0.4%)

Compiler: Compiled 48 to 40 computations (16.7% saved)

analyze10.0ms (0.2%)

sample1.4s (21.3%)

preprocess65.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize208.0ms (3.1%)

series1.0ms (0%)

rewrite76.0ms (1.1%)

simplify71.0ms (1.1%)

eval11.0ms (0.2%)

prune7.0ms (0.1%)

localize709.0ms (10.5%)

series141.0ms (2.1%)

rewrite168.0ms (2.5%)

simplify197.0ms (2.9%)

eval994.0ms (14.8%)

prune190.0ms (2.8%)

localize463.0ms (6.9%)

series134.0ms (2%)

rewrite194.0ms (2.9%)

simplify306.0ms (4.6%)

eval369.0ms (5.5%)

prune113.0ms (1.7%)

localize454.0ms (6.7%)

series20.0ms (0.3%)

rewrite90.0ms (1.3%)

simplify121.0ms (1.8%)

eval124.0ms (1.8%)

prune18.0ms (0.3%)

regimes17.0ms (0.2%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess24.0ms (0.4%)

Profiling