Details

analyze8.0ms (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 (12.7%)

Results

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

Bogosity

preprocess73.0ms (0.9%)

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)

simplify104.0ms (1.3%)

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)

localize64.0ms (0.8%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 46 to 35 computations (23.9% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite94.0ms (1.2%)

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

simplify136.0ms (1.7%)

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	1334	13157
2	4403	7165

Stop Event

1×	node limit

Counts

219 → 330

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)))))
(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)))))
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)))))))
(+.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 (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))))))
(+.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)))))

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

eval204.0ms (2.6%)

Compiler: Compiled 9723 to 7396 computations (23.9% saved)

prune85.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	324	6	330
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	324	7	331

Accurracy

100.0%

Counts

331 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(*.f64 2 (log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
▶	100.0%	(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
▶	100.0%	(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
▶	98.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
▶	98.6%	(.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)))))
▶	100.0%	(.f64 2 (atan.f64 (sqrt.f64 (.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))

Compiler

Compiled 166 to 140 computations (15.7% saved)

localize75.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 59 to 47 computations (20.3% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`log-prod`
690×	`pow-prod-down`
552×	`pow-prod-up`
530×	`pow-exp`
420×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	82
1	232	82
2	3009	82

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

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

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1066×	`unswap-sqr`
538×	`exp-prod`
462×	`sqr-pow`
346×	`div-sub`
328×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	6887
1	1081	6235
2	3562	6057

Stop Event

1×	node limit

Counts

229 → 279

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

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

localize38.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 18 to 14 computations (22.2% 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))

rewrite81.0ms (1%)

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))))

simplify62.0ms (0.8%)

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))

localize72.0ms (0.9%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 52 to 36 computations (30.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.9%)

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	54
1	236	54
2	3093	38

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

simplify146.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1178×	`fma-def`
930×	`div-sub`
788×	`fma-neg`
632×	`distribute-lft-in`
598×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	4061
1	611	3559
2	1671	3515
3	6235	3515

Stop Event

1×	node limit

Counts

139 → 157

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

Outputs
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
1
(+.f64 1 (*.f64 -1 x))
(fma.f64 -1 x 1)
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(*.f64 x (fma.f64 1/2 x -1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(*.f64 x (fma.f64 1/2 x -1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 1/2 x -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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
(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 (fma.f64 x (*.f64 1/2 x) 1) x))
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(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 1 x))
(-.f64 (fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1) x)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (neg.f64 (-.f64 x 1)))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 1 x))
(-.f64 (fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (*.f64 x 1/2))) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 1 x))
(-.f64 (fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (*.f64 x 1/2))) (neg.f64 (-.f64 x 1)))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 1 x))
(-.f64 (fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (*.f64 x 1/2)) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (*.f64 1/2 x) (cbrt.f64 x)) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (*.f64 1/2 (cbrt.f64 x))) (-.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 1/2 (*.f64 x (cbrt.f64 x))) (-.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (*.f64 x 1/2)) (neg.f64 (-.f64 x 1)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (*.f64 1/2 x) (cbrt.f64 x)) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (*.f64 1/2 (cbrt.f64 x))) (-.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 1/2 (*.f64 x (cbrt.f64 x))) (-.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) 2) 1)
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) 2) (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) 1)
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 (*.f64 x 1/2)) x) (fma.f64 -1 x 1))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 (*.f64 x 1/2)) x) (neg.f64 (-.f64 x 1)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (*.f64 x x) 1/2 (fma.f64 -1 x 1))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (*.f64 x x) 1/2 (neg.f64 (-.f64 x 1)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (fma.f64 -1 x 1))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (neg.f64 (-.f64 x 1)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/2)) (fma.f64 -1 x 1))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/2)) (neg.f64 (-.f64 x 1)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) 1)
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (*.f64 x 1/2)) x) (fma.f64 -1 x 1))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (*.f64 x 1/2)) x) (neg.f64 (-.f64 x 1)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4))) 1)
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 1/2 x) x) (*.f64 (pow.f64 x 4) 1/4))) 1)
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 1/2 (.f64 x x) x) (*.f64 (pow.f64 x 4) 1/4))) 1)
(+.f64 1 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (fma.f64 x (.f64 x (fma.f64 1/2 x 1)) (*.f64 (pow.f64 x 4) 1/4))))
(fma.f64 (fma.f64 (pow.f64 x 4) 1/4 (neg.f64 (.f64 x x))) (/.f64 1 (fma.f64 x (.f64 x 1/2) x)) 1)
(fma.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 x (neg.f64 x))) (/.f64 1 (fma.f64 x (.f64 1/2 x) x)) 1)
(fma.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) x)) 1)
(+.f64 1 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (*.f64 x (fma.f64 1/2 x 1))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) (neg.f64 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (neg.f64 x))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 x)) 1)
(fma.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 1/2) (neg.f64 (sqrt.f64 x))) 1)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 -1 x 1))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 x 1)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 -1 x 1))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 x 1)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (.f64 (.f64 x 1/2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (*.f64 1/2 x) (cbrt.f64 x)) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (*.f64 1/2 (cbrt.f64 x))) (-.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 1/2 (*.f64 x (cbrt.f64 x))) (-.f64 1 x))
(fma.f64 (.f64 (.f64 x 1/2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (-.f64 x 1)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (*.f64 1/2 x) (cbrt.f64 x)) (fma.f64 -1 x 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (*.f64 1/2 (cbrt.f64 x))) (-.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 1/2 (*.f64 x (cbrt.f64 x))) (-.f64 1 x))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -1 x 1))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 x 1)))
(-.f64 (fma.f64 x (*.f64 1/2 x) 1) x)
(fma.f64 x (fma.f64 1/2 x -1) 1)

localize233.0ms (2.9%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 50 to 39 computations (22% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite97.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`log-prod`
594×	`pow-prod-down`
520×	`pow-prod-up`
512×	`pow-exp`
414×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	237	73
2	3052	69

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

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

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1452×	`fma-def`
814×	`distribute-lft-in`
788×	`distribute-rgt-in`
620×	`unswap-sqr`
432×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	3822
1	693	3638
2	2110	3572

Stop Event

1×	node limit

Counts

126 → 169

Calls

Call 1

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

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

localize97.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 60 to 47 computations (21.7% saved)

series1.0ms (0%)

Counts

3 → 36

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	@	0	(/.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))))
0.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

rewrite134.0ms (1.7%)

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	85
1	237	73
2	3168	73

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

simplify102.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1148×	`fma-def`
628×	`associate-/r*`
530×	`times-frac`
440×	`sqr-pow`
436×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	320	5028
1	745	4754
2	2117	4438
3	7385	4428

Stop Event

1×	node limit

Counts

154 → 182

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)))))))
(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)))))
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)))
(+.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 (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))))))
(+.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)))))

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

eval518.0ms (6.5%)

Compiler: Compiled 15598 to 12720 computations (18.5% saved)

prune334.0ms (4.2%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	881	6	887
Fresh	1	0	1
Picked	1	0	1
Done	0	5	5
Total	883	11	894

Accurracy

100.0%

Counts

894 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓	100.0%	(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
▶	98.4%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓	98.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
	98.9%	(.f64 2 (atan.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))) (-.f64 1 x))))
✓	98.6%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 x (*.f64 x 1/2)) x))))
▶	4.3%	(.f64 2 (atan.f64 (.f64 1/2 (*.f64 x x))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	100.0%	(.f64 2 (atan.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -3) (-.f64 1 x)))))
✓	100.0%	(.f64 2 (atan.f64 (sqrt.f64 (.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
▶	97.7%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 191 to 161 computations (15.7% saved)

localize134.0ms (1.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(atan.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -3) (-.f64 1 x))))
✓	100.0%	(cbrt.f64 (+.f64 1 x))
✓	100.0%	(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -3) (-.f64 1 x))
✓	99.9%	(pow.f64 (cbrt.f64 (+.f64 1 x)) -3)

Compiler

Compiled 69 to 56 computations (18.8% saved)

series4.0ms (0.1%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (+.f64 1 x)) -3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (+.f64 1 x)) -3)
0.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 1 x)) -3)
0.0ms	x	@	inf	(cbrt.f64 (+.f64 1 x))
0.0ms	x	@	-inf	(cbrt.f64 (+.f64 1 x))

rewrite95.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`log-prod`
750×	`pow-prod-down`
624×	`pow-prod-up`
618×	`pow-exp`
450×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	94
1	269	82
2	3265	70

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

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

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1558×	`fma-def`
1064×	`fma-neg`
752×	`distribute-lft-in`
716×	`distribute-rgt-in`
540×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	8589938880
1	755	4046
2	2095	3850
3	7931	3850

Stop Event

1×	node limit

Counts

164 → 215

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))))
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 1/3 x))
(+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (.f64 1/3 x)))
(+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 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 (/.f64 1 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) -6) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(/.f64 1 (+.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(exp.f64 (*.f64 -1 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 -1 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (log1p.f64 x) -1))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) -1))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1/3) -3))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (log1p.f64 x)) 1) -3))
(exp.f64 (.f64 (.f64 (*.f64 -1 (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 -1 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 2/3 (log1p.f64 x)) -3/2))
(exp.f64 (.f64 (.f64 3 (*.f64 -1 (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 x)) 2))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (log1p.f64 x)) -3/2) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (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 (-.f64 1 x) (+.f64 1 x))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (.f64 x x))) (+.f64 1 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 x))) (+.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 (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)
(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))
(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))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(fma.f64 (/.f64 1 (+.f64 1 x)) 1 (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(fma.f64 (/.f64 1 (+.f64 1 x)) 1 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) -6) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) -6) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(+.f64 0 (cbrt.f64 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) 1)
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (exp.f64 (.f64 2/3 (log1p.f64 x)))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (log1p.f64 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 (+.f64 1 x) 1/6))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 x)) 1)
(pow.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 2) 1/6)
(pow.f64 (pow.f64 (+.f64 1 x) 3) 1/9)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 2/3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 2)
(sqrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) 1/3))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1/3) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/3 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/6 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (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 (log.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)) 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 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(fma.f64 x (+.f64 -1 x) 1)
(+.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 (fma.f64 x (+.f64 -1 x) 1) (pow.f64 x 3))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1))
(fma.f64 x -2 (fma.f64 x (*.f64 x 2) 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))
(fma.f64 x (*.f64 x 2) (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 -1 (/.f64 2 x)) (/.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 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
-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 -1 (/.f64 2 x)) (/.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 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (*.f64 x 1/3))
(fma.f64 x 1/3 1)
(+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (.f64 1/3 x)))
(fma.f64 -1/9 (.f64 x x) (+.f64 1 (.f64 x 1/3)))
(fma.f64 (*.f64 x x) -1/9 (fma.f64 x 1/3 1))
(fma.f64 x 1/3 (fma.f64 x (*.f64 x -1/9) 1))
(+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(fma.f64 -1/9 (.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (.f64 x 1/3))))
(+.f64 (fma.f64 (.f64 x x) -1/9 (fma.f64 x 1/3 1)) (.f64 (pow.f64 x 3) 5/81))
(fma.f64 x (*.f64 x -1/9) (fma.f64 x 1/3 (fma.f64 (pow.f64 x 3) 5/81 1)))
(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 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 0 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 x))
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 1 (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) -6) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) -6))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) -6) (cbrt.f64 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(/.f64 1 (+.f64 1 x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(exp.f64 (*.f64 -1 (log1p.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 -1 (log1p.f64 x)) 1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) -1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) -1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1/3) -3))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (log1p.f64 x)) 1) -3))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 -1 (log1p.f64 x)) 1) 1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (*.f64 -1 (log1p.f64 x))) 3))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 2/3 (log1p.f64 x)) -3/2))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 3 (*.f64 -1 (log1p.f64 x))) 1/3))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 x)) 2))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (log1p.f64 x)) -3/2) 2))
(exp.f64 (neg.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
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(*.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 (log.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))))
(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))))

localize23.0ms (0.3%)

Compiler: Compiled 10 to 10 computations (0% saved)

localize31.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 27 to 15 computations (44.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`pow1`
1562×	`add-exp-log`
1562×	`log1p-expm1-u`
1562×	`expm1-log1p-u`
1526×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	199	53
2	2199	53

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

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

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1818×	`fma-def`
1278×	`distribute-rgt-in`
1236×	`distribute-lft-in`
1094×	`log-prod`
868×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1304
1	195	1304
2	812	1304
3	3195	1304

Stop Event

1×	node limit

Counts

74 → 44

Calls

Call 1

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

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

localize67.0ms (0.8%)

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 27 to 22 computations (18.5% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite57.0ms (0.7%)

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	17
1	165	17
2	2050	17

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs
(-.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)))))

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1080×	`log-prod`
826×	`fma-neg`
742×	`exp-prod`
620×	`fma-def`
524×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	420
1	81	340
2	292	340
3	1691	340
4	3917	340
5	5791	340

Stop Event

1×	node limit

Counts

20 → 19

Calls

Call 1

Inputs
(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 (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
(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 (*.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 (*.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 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.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)))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))

localize69.0ms (0.9%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(atan.f64 (-.f64 1 x))
✓	100.0%	(+.f64 1 (atan.f64 (-.f64 1 x)))
✓	99.9%	(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)

Compiler

Compiled 36 to 30 computations (16.7% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite77.0ms (1%)

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	40
1	201	28
2	2817	28

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

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

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

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1308×	`fma-neg`
650×	`associate-+r+`
520×	`distribute-lft-neg-in`
518×	`distribute-rgt-neg-in`
486×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	5112
1	759	4962
2	2765	4922

Stop Event

1×	node limit

Counts

168 → 187

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

eval253.0ms (3.2%)

Compiler: Compiled 9076 to 7721 computations (14.9% saved)

prune116.0ms (1.5%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	550	2	552
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	550	13	563

Accurracy

100.0%

Counts

563 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶	3.4%	(.f64 2 (-.f64 (+.f64 1 (atan.f64 (.f64 1/2 (*.f64 x x)))) 1))
✓	100.0%	(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
✓	98.4%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓	98.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
▶	98.4%	(.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (.f64 x x))))
▶	98.9%	(.f64 2 (atan.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))) (-.f64 1 x))))
✓	98.6%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 x (*.f64 x 1/2)) x))))
✓	4.3%	(.f64 2 (atan.f64 (.f64 1/2 (*.f64 x x))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	100.0%	(.f64 2 (atan.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -3) (-.f64 1 x)))))
✓	100.0%	(.f64 2 (atan.f64 (sqrt.f64 (.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
✓	97.7%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 149 to 124 computations (16.8% saved)

localize134.0ms (1.7%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 73 to 48 computations (34.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`fma-def`
1412×	`log-prod`
540×	`expm1-udef`
536×	`log1p-udef`
526×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	313	54
2	4284	54

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

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

simplify106.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1782×	`fma-neg`
1752×	`fma-def`
900×	`log-prod`
740×	`unswap-sqr`
572×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	3611
1	537	3169
2	1673	3023
3	6905	3021

Stop Event

1×	node limit

Counts

103 → 116

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

localize80.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`unpow-prod-down`
838×	`log-prod`
706×	`fma-def`
694×	`prod-exp`
558×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	192	34
2	2616	34

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

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

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1100×	`fma-def`
1048×	`unswap-sqr`
904×	`distribute-lft-in`
852×	`distribute-rgt-in`
572×	`hypot-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	3571
1	642	3231
2	1869	3145
3	7891	3145

Stop Event

1×	node limit

Counts

125 → 156

Calls

Call 1

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

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

localize156.0ms (2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(atan.f64 (.f64 1/2 (.f64 x x)))
✓	100.0%	(.f64 2 (-.f64 (+.f64 1 (atan.f64 (.f64 1/2 (*.f64 x x)))) 1))
	100.0%	(.f64 1/2 (.f64 x x))
✓	55.6%	(-.f64 (+.f64 1 (atan.f64 (.f64 1/2 (.f64 x x)))) 1)

Compiler

Compiled 50 to 32 computations (36% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite113.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`log-prod`
646×	`fma-def`
608×	`pow-prod-down`
524×	`pow-prod-up`
504×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	275	40
2	3471	40

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

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

simplify142.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1160×	`hypot-def`
1016×	`div-sub`
802×	`associate-+r+`
774×	`log-prod`
700×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	4088
1	489	3944
2	1601	3866
3	6081	3866

Stop Event

1×	node limit

Counts

126 → 127

Calls

Call 1

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

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

eval224.0ms (2.8%)

Compiler: Compiled 8108 to 5862 computations (27.7% saved)

prune134.0ms (1.7%)

Pruning

13 alts after pruning (0 fresh and 13 done)

	Pruned	Kept	Total
New	430	0	430
Fresh	0	0	0
Picked	0	1	1
Done	0	12	12
Total	430	13	443

Accurracy

100.0%

Counts

443 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓	3.4%	(.f64 2 (-.f64 (+.f64 1 (atan.f64 (.f64 1/2 (*.f64 x x)))) 1))
✓	100.0%	(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
✓	98.4%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓	98.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	98.4%	(.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (.f64 x x))))
✓	98.9%	(.f64 2 (atan.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))) (-.f64 1 x))))
✓	98.6%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 x (*.f64 x 1/2)) x))))
✓	4.3%	(.f64 2 (atan.f64 (.f64 1/2 (*.f64 x x))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	100.0%	(.f64 2 (atan.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -3) (-.f64 1 x)))))
✓	100.0%	(.f64 2 (atan.f64 (sqrt.f64 (.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
✓	97.7%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 314 to 257 computations (18.2% saved)

regimes48.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Results

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

Compiler

Compiled 206 to 165 computations (19.9% saved)

regimes19.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
2.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms	(/.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)))

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 151 to 118 computations (21.9% saved)

regimes18.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

Calls

5 calls:

6.0ms	x
2.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Results

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

Compiler

Compiled 139 to 108 computations (22.3% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 89 to 68 computations (23.6% saved)

regimes8.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 73 to 57 computations (21.9% 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 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (.f64 x 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:

4.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 49 to 39 computations (20.4% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.7%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	240
1	64	240
2	69	240
3	71	240
4	72	240

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (atan.f64 (sqrt.f64 (.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(.f64 2 (atan.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))) (-.f64 1 x))))
(.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 (+.f64 1 x)) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(.f64 2 (atan.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))) (-.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 90 to 75 computations (16.7% saved)

soundness954.0ms (12%)

Rules

1066×	`unswap-sqr`
1018×	`log-prod`
1018×	`log-prod`
1018×	`log-prod`
946×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	213	69
2	2878	69
0	557	16069
1	1334	13157
2	4403	7165
0	557	16069
1	1334	13157
2	4403	7165
0	10	69
1	213	69
2	2878	69
0	453	6887
1	1081	6235
2	3562	6057
0	10	69
1	213	69
2	2878	69

Stop Event

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

Compiler

Compiled 560 to 460 computations (17.9% saved)

end69.0ms (0.9%)

Compiler: Compiled 190 to 156 computations (17.9% saved)

Details

analyze8.0ms (0.1%)

sample1.0s (12.7%)

preprocess73.0ms (0.9%)

simplify104.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize64.0ms (0.8%)

series3.0ms (0%)

rewrite94.0ms (1.2%)

simplify136.0ms (1.7%)

eval204.0ms (2.6%)

prune85.0ms (1.1%)

localize75.0ms (0.9%)

series1.0ms (0%)

rewrite105.0ms (1.3%)

simplify93.0ms (1.2%)

localize38.0ms (0.5%)

series0.0ms (0%)

rewrite81.0ms (1%)

simplify62.0ms (0.8%)

localize72.0ms (0.9%)

series1.0ms (0%)

rewrite71.0ms (0.9%)

simplify146.0ms (1.8%)

localize233.0ms (2.9%)

series2.0ms (0%)

rewrite97.0ms (1.2%)

simplify72.0ms (0.9%)

localize97.0ms (1.2%)

series1.0ms (0%)

rewrite134.0ms (1.7%)

simplify102.0ms (1.3%)

eval518.0ms (6.5%)

prune334.0ms (4.2%)

localize134.0ms (1.7%)

series4.0ms (0.1%)

rewrite95.0ms (1.2%)

simplify100.0ms (1.3%)

localize23.0ms (0.3%)

localize31.0ms (0.4%)

series2.0ms (0%)

rewrite71.0ms (0.9%)

simplify65.0ms (0.8%)

localize67.0ms (0.8%)

series1.0ms (0%)

rewrite57.0ms (0.7%)

simplify65.0ms (0.8%)

localize69.0ms (0.9%)

series1.0ms (0%)

rewrite77.0ms (1%)

simplify118.0ms (1.5%)

eval253.0ms (3.2%)

prune116.0ms (1.5%)

localize134.0ms (1.7%)

series2.0ms (0%)

rewrite79.0ms (1%)

simplify106.0ms (1.3%)

localize80.0ms (1%)

series1.0ms (0%)

rewrite71.0ms (0.9%)

simplify100.0ms (1.3%)

localize156.0ms (2%)

series1.0ms (0%)

rewrite113.0ms (1.4%)

simplify142.0ms (1.8%)

eval224.0ms (2.8%)

prune134.0ms (1.7%)

regimes48.0ms (0.6%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

simplify9.0ms (0.1%)

soundness954.0ms (12%)

end69.0ms (0.9%)

Profiling