Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

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

sample1.0s (25.8%)

Results

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

Bogosity

preprocess69.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1128×	`fma-def`
554×	`div-sub`
414×	`fma-neg`
236×	`times-frac`
194×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	21	33
2	27	33
3	38	33
4	61	33
5	85	33
6	123	33
7	195	33
8	356	33
9	584	33
10	791	33
11	1162	33
12	1600	33
13	1997	33
14	2238	33
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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 13 to 11 computations (15.4% saved)

simplify102.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1128×	`fma-def`
554×	`div-sub`
414×	`fma-neg`
236×	`times-frac`
194×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	21	33
2	27	33
3	38	33
4	61	33
5	85	33
6	123	33
7	195	33
8	356	33
9	584	33
10	791	33
11	1162	33
12	1600	33
13	1997	33
14	2238	33

Stop Event

1×

saturated

Counts

1 → 1

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)))))

eval0.0ms (0%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

2 → 1

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)))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize19.0ms (0.5%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 45 to 34 computations (24.4% saved)

series2.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

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

rewrite94.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	213	69
2	2878	69

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

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

simplify137.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

946×	`unswap-sqr`
876×	`times-frac`
448×	`exp-prod`
406×	`sqr-pow`
366×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	557	16069
1	1331	13157
2	4398	7165

Stop Event

1×	node limit

Counts

219 → 328

Calls

Call 1

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

eval166.0ms (4.1%)

Compiler: Compiled 9696 to 7377 computations (23.9% saved)

prune47.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	325	3	328
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	325	4	329

Accurracy

100.0%

Counts

329 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
▶	99.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
▶	99.5%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 x (*.f64 x 1/2)) x))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize20.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(atan.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x)))

Compiler

Compiled 51 to 35 computations (31.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`log-prod`
1016×	`fma-def`
678×	`pow-prod-down`
518×	`pow-prod-up`
512×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	236	29
2	3093	21

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

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

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1968×	`fma-def`
1248×	`distribute-lft-in`
1090×	`distribute-rgt-in`
704×	`log-prod`
596×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	1150
1	146	816
2	432	816
3	2689	816
4	7934	816

Stop Event

1×	node limit

Counts

38 → 33

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite50.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`pow1`
1260×	`add-exp-log`
1260×	`log1p-expm1-u`
1260×	`expm1-log1p-u`
1234×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1679	11

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(atan.f64 (-.f64 1 x))

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

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1068×	`log-prod`
796×	`fma-neg`
738×	`exp-prod`
616×	`fma-def`
524×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	220
1	75	220
2	283	220
3	1692	220
4	3917	220
5	5799	220

Stop Event

1×	node limit

Counts

20 → 18

Calls

Call 1

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

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

localize24.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 59 to 46 computations (22% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite87.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`log-prod`
672×	`pow-prod-down`
558×	`pow-prod-up`
556×	`pow-exp`
408×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	104
1	237	92
2	3168	92

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

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

simplify97.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

920×	`unswap-sqr`
868×	`times-frac`
542×	`sqr-pow`
508×	`exp-prod`
434×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	6857
1	1089	6473
2	3413	6183

Stop Event

1×	node limit

Counts

221 → 275

Calls

Call 1

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

eval116.0ms (2.9%)

Compiler: Compiled 5787 to 4848 computations (16.2% saved)

prune43.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	322	4	326
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	323	7	330

Accurracy

100.0%

Counts

330 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶	99.4%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓	99.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
▶	99.5%	(.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))))))
✓	99.5%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 x (*.f64 x 1/2)) x))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	98.3%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 74 to 62 computations (16.2% saved)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize25.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 72 to 47 computations (34.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite103.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`log-prod`
1380×	`fma-def`
536×	`expm1-udef`
532×	`log1p-udef`
474×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	103
1	311	83
2	4354	83

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

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

simplify184.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1182×	`unswap-sqr`
1020×	`times-frac`
924×	`cancel-sign-sub-inv`
520×	`fma-neg`
410×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	7804
1	928	6780
2	3264	6690

Stop Event

1×	node limit

Counts

184 → 219

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 26 to 21 computations (19.2% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite59.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`pow1`
1460×	`add-exp-log`
1460×	`log1p-expm1-u`
1460×	`expm1-log1p-u`
1430×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	165	30
2	2052	30

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

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

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1490×	`fma-def`
982×	`unswap-sqr`
538×	`times-frac`
500×	`distribute-lft-in`
492×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1326
1	271	1130
2	893	1010
3	3363	998

Stop Event

1×	node limit

Counts

54 → 82

Calls

Call 1

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

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

localize15.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 35 to 29 computations (17.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`unpow-prod-down`
784×	`log-prod`
704×	`fma-def`
680×	`prod-diff`
476×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	11
2	2817	11

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

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

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

948×	`fma-neg`
918×	`cancel-sign-sub-inv`
842×	`distribute-lft-in`
794×	`distribute-rgt-in`
532×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2770
1	474	2640
2	1584	2602

Stop Event

1×	node limit

Counts

96 → 102

Calls

Call 1

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

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

eval275.0ms (6.8%)

Compiler: Compiled 8093 to 6370 computations (21.3% saved)

prune90.0ms (2.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	421	0	421
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	421	7	428

Accurracy

100.0%

Counts

428 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓	99.4%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓	99.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	99.5%	(.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))))))
✓	99.5%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 x (*.f64 x 1/2)) x))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	98.3%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 74 to 62 computations (16.2% saved)

regimes16.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 x (*.f64 x 1/2)) x))))
(.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 1 (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	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.0ms	(/.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 122 to 99 computations (18.9% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 59 to 48 computations (18.6% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 43 to 36 computations (16.3% saved)

regimes6.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 31 to 27 computations (12.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.7b remaining (-173.4%)

Threshold costs -0.7b (-173.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))

Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	166
1	53	166
2	58	166
3	60	166
4	61	166

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 63 to 52 computations (17.5% saved)

soundness608.0ms (15.2%)

Rules

1018×	`log-prod`
946×	`unswap-sqr`
946×	`unswap-sqr`
920×	`unswap-sqr`
876×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	213	69
2	2878	69
0	557	16069
1	1331	13157
2	4398	7165
0	557	16069
1	1331	13157
2	4398	7165
0	459	6857
1	1089	6473
2	3413	6183

Stop Event

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

Compiler

Compiled 414 to 341 computations (17.6% saved)

end88.0ms (2.2%)

Compiler: Compiled 58 to 47 computations (19% saved)

Details

analyze5.0ms (0.1%)

sample1.0s (25.8%)

preprocess69.0ms (1.7%)

simplify102.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.5%)

series2.0ms (0.1%)

rewrite94.0ms (2.3%)

simplify137.0ms (3.4%)

eval166.0ms (4.1%)

prune47.0ms (1.2%)

localize20.0ms (0.5%)

series1.0ms (0%)

rewrite65.0ms (1.6%)

simplify61.0ms (1.5%)

localize7.0ms (0.2%)

series0.0ms (0%)

rewrite50.0ms (1.2%)

simplify60.0ms (1.5%)

localize24.0ms (0.6%)

series2.0ms (0%)

rewrite87.0ms (2.2%)

simplify97.0ms (2.4%)

eval116.0ms (2.9%)

prune43.0ms (1.1%)

localize4.0ms (0.1%)

localize25.0ms (0.6%)

series3.0ms (0.1%)

rewrite103.0ms (2.6%)

simplify184.0ms (4.6%)

localize11.0ms (0.3%)

series2.0ms (0%)

rewrite59.0ms (1.5%)

simplify59.0ms (1.5%)

localize15.0ms (0.4%)

series0.0ms (0%)

rewrite73.0ms (1.8%)

simplify58.0ms (1.4%)

eval275.0ms (6.8%)

prune90.0ms (2.3%)

regimes16.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

simplify7.0ms (0.2%)

soundness608.0ms (15.2%)

end88.0ms (2.2%)

Profiling