Details

analyze4.0ms (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 (27%)

Results

1.0s	8256×	body	256	valid
1.0ms	17×	body	256	invalid

Bogosity

preprocess71.0ms (1.9%)

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)

simplify105.0ms (2.8%)

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)

localize63.0ms (1.7%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 46 to 35 computations (23.9% saved)

series2.0ms (0.1%)

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

rewrite97.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

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

simplify136.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

219 → 328

Calls

Call 1

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

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

eval218.0ms (5.7%)

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

prune82.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Accurracy

100.0%

Counts

329 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
▶	99.7%	(.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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize207.0ms (5.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))
✓	100.0%	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))
✓	100.0%	(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)
✓	100.0%	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 62 to 49 computations (21% saved)

series2.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite81.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`log-prod`
644×	`pow-prod-down`
574×	`pow-prod-up`
574×	`pow-exp`
440×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	106
1	254	98
2	3256	94

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

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

simplify124.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1996×	`fma-def`
1480×	`times-frac`
1088×	`distribute-lft-in`
790×	`unswap-sqr`
484×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	4294973303
1	1006	5785
2	3082	5571

Stop Event

1×	node limit

Counts

189 → 248

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)))))))
1
(+.f64 (*.f64 -3 x) 1)
(+.f64 (.f64 -3 x) (+.f64 1 (.f64 9/2 (pow.f64 x 2))))
(+.f64 (.f64 -3 x) (+.f64 1 (+.f64 (.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (-.f64 2 (.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 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 (+.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 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 (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 (hypot.f64 1 (sqrt.f64 x)) (.f64 (hypot.f64 1 (sqrt.f64 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 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 1 x)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 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 (/.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 (-.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 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))) 1)
(*.f64 1 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.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)) -3/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/4))
(*.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 (-.f64 1 x) 3/2))
(.f64 (.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 5/2) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -9/2))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))
(exp.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (.f64 (.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) -3/2))
(exp.f64 (.f64 (.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (.f64 (.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3) 3))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -9/2)) 1/3))
(exp.f64 (.f64 (.f64 2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -3/4))
(exp.f64 (.f64 (.f64 -3/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -3/4) 2))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (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 (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))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2) 1/3)
(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 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -3/2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) -3/4)
(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)) -9/2) 1/9)
(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 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/4) 2/3)
(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))))))
(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 -3/2 (-.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)))) 1))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -3/2))
(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 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3) 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)) -1/4)) 2))
(exp.f64 (.f64 (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) -3/4))
(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 (*.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 (.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))

Outputs
1
(+.f64 (*.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))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 3))))
1
(+.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x 1)
(fma.f64 x -3 1)
(+.f64 (.f64 -3 x) (+.f64 1 (.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -3 x 1) (.f64 (.f64 x x) 9/2))
(fma.f64 x -3 (fma.f64 (*.f64 x x) 9/2 1))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) 1))
(+.f64 (.f64 -3 x) (+.f64 1 (+.f64 (.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 -11/2 (pow.f64 x 3) (.f64 (.f64 x x) 9/2)))
(+.f64 (fma.f64 x -3 1) (fma.f64 (.f64 x x) 9/2 (.f64 (pow.f64 x 3) -11/2)))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) (fma.f64 (pow.f64 x 3) -11/2 1)))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 (.f64 9/2 (sqrt.f64 -1)) (.f64 x x)))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (/.f64 (.f64 9/2 (sqrt.f64 -1)) (.f64 x x)))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 (.f64 9/2 (sqrt.f64 -1)) (.f64 x x)))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
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(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/4))
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(*.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 (-.f64 1 x) 3/2))
(.f64 (.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
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(.f64 (.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))
(.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)))
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(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) -3/2))
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(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -9/2))
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(+.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)))))))
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(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4))
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(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))
(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)
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(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) -3/4)
(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)) -9/2) 1/9)
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -9/2) 1/18) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -9/2) 1/18))
(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)) -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)
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(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/4) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/4)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/4)))
(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)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
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(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)
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(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
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(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
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(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)
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(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
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(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
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(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
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(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
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(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
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(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))
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(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))))

localize87.0ms (2.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 52 to 36 computations (30.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

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

simplify90.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 33

Calls

Call 1

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

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

localize76.0ms (2%)

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))

rewrite67.0ms (1.7%)

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))))

simplify65.0ms (1.7%)

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))

eval163.0ms (4.3%)

Compiler: Compiled 5246 to 4327 computations (17.5% saved)

prune39.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	298	1	299
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	298	5	303

Accurracy

100.0%

Counts

303 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓	99.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	99.7%	(.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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))

Compiler

Compiled 57 to 48 computations (15.8% saved)

localize99.0ms (2.6%)

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)))
✓	100.0%	(-.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	@	-inf	(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
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	@	inf	(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0ms	x	@	0	(+.f64 1 (atan.f64 (-.f64 1 x)))

rewrite84.0ms (2.2%)

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)

simplify89.0ms (2.3%)

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

eval115.0ms (3%)

Compiler: Compiled 3676 to 3310 computations (10% saved)

prune24.0ms (0.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	205	5	210

Accurracy

100.0%

Counts

210 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓	99.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	99.7%	(.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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))

Compiler

Compiled 57 to 48 computations (15.8% saved)

regimes54.0ms (1.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
4.0ms	x
2.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

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 94 to 76 computations (19.1% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-2.2%)

Threshold costs -0b (-2.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	85
1	33	85
2	38	85
3	40	85
4	41	85

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 32 to 26 computations (18.8% saved)

soundness388.0ms (10.2%)

Rules

946×	`unswap-sqr`
946×	`unswap-sqr`
876×	`times-frac`
876×	`times-frac`
448×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 98 to 81 computations (17.3% saved)

end63.0ms (1.7%)

Compiler: Compiled 84 to 68 computations (19% saved)

Details

analyze4.0ms (0.1%)

sample1.0s (27%)

preprocess71.0ms (1.9%)

simplify105.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize63.0ms (1.7%)

series2.0ms (0.1%)

rewrite97.0ms (2.5%)

simplify136.0ms (3.6%)

eval218.0ms (5.7%)

prune82.0ms (2.2%)

localize207.0ms (5.4%)

series2.0ms (0.1%)

rewrite81.0ms (2.1%)

simplify124.0ms (3.2%)

localize87.0ms (2.3%)

series1.0ms (0%)

rewrite70.0ms (1.8%)

simplify90.0ms (2.4%)

localize76.0ms (2%)

series0.0ms (0%)

rewrite67.0ms (1.7%)

simplify65.0ms (1.7%)

eval163.0ms (4.3%)

prune39.0ms (1%)

localize99.0ms (2.6%)

series1.0ms (0%)

rewrite84.0ms (2.2%)

simplify89.0ms (2.3%)

eval115.0ms (3%)

prune24.0ms (0.6%)

regimes54.0ms (1.4%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

soundness388.0ms (10.2%)

end63.0ms (1.7%)

Profiling