Details

analyze958.0ms (16.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	199.9%	-99.9%	0%	0%	0%	1
0%	0%	399.8%	-299.8%	0%	0%	0%	2
0%	0%	799.6%	-699.6%	0%	0%	0%	3
0%	0%	1599.2%	-1499.2%	0%	0%	0%	4
0%	0%	3198.4%	-3098.4%	0%	0%	0%	5
0%	0%	6396.9%	-6296.9%	0%	0%	0%	6
0%	0%	12793.8%	-12693.8%	0%	0%	0%	7
0%	0%	25587.5%	-25487.5%	0%	0%	0%	8
0%	0%	51175%	-51075%	0%	0%	0%	9
0%	0%	102350%	-102250%	0%	0%	0%	10
0%	0%	204700%	-204600%	0%	0%	0%	11
0%	0%	409400%	-409300%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample2.7s (46.8%)

Results

1.5s	8256×	body	256	valid
1.2s	8484×	body	256	invalid

Bogosity

preprocess69.0ms (1.2%)

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)

simplify68.0ms (1.2%)

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize111.0ms (2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	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%)

Counts

2 → 24

Calls

6 calls:

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

rewrite104.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`log-prod`
670×	`prod-exp`
622×	`prod-diff`
564×	`pow-prod-down`
446×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	194	42
2	2662	42

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

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

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

simplify159.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

692×	`times-frac`
676×	`unswap-sqr`
534×	`associate-+r-`
374×	`exp-prod`
362×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	524	15537
1	1277	13179
2	4150	6215

Stop Event

1×	node limit

Counts

199 → 291

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

Outputs
1
(+.f64 1 (*.f64 -2 x))
(fma.f64 -2 x 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) 1) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (+.f64 -1 (/.f64 2 x)) (/.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 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) 1) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (+.f64 -1 (/.f64 2 x)) (/.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 (.f64 x (-.f64 (.f64 x 1/2) 1)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 3) -1/2 (.f64 x (.f64 x 1/2))) x))
(+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.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 (.f64 x x)) (sqrt.f64 -1))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (-.f64 2 (.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 -1/2 (.f64 x x)) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.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 (.f64 x x)) (sqrt.f64 -1))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 -1/2 (.f64 x x)) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(+.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 1 x) (+.f64 1 x))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.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 1 x) (+.f64 1 x))
(+.f64 0 (/.f64 (-.f64 1 x) (+.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 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.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 1 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 (/.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 1 x) (+.f64 1 x))
(+.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 (/.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 1 x) (+.f64 1 x))
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(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)))

eval263.0ms (4.6%)

Compiler: Compiled 8715 to 6643 computations (23.8% saved)

prune58.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	288	3	291
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	288	4	292

Accurracy

100.0%

Counts

292 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
▶	99.3%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))) x))))
▶	98.9%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 x (*.f64 x 1/2)) x))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	98.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
▶	99.3%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))) x))))
▶	98.9%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 x (*.f64 x 1/2)) x))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 98 to 78 computations (20.4% saved)

localize293.0ms (5.1%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 147 to 98 computations (33.3% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite102.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`expm1-udef`
804×	`log1p-udef`
500×	`add-sqr-sqrt`
486×	`pow1`
486×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	81
1	479	77
2	6890	77

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

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

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1832×	`fma-def`
1132×	`distribute-rgt-in`
1060×	`distribute-lft-in`
820×	`log-prod`
736×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	2222
1	273	1982
2	940	1742
3	3780	1742

Stop Event

1×	node limit

Counts

82 → 67

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

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

eval35.0ms (0.6%)

Compiler: Compiled 1010 to 763 computations (24.5% saved)

prune15.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	67	4	71

Accurracy

100.0%

Counts

71 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	99.3%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/2))) x))))
✓	98.9%	(.f64 2 (atan.f64 (+.f64 1 (-.f64 (.f64 x (*.f64 x 1/2)) x))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 95 to 75 computations (21.1% saved)

regimes19.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
4.0ms	x
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

Results

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

Compiler

Compiled 87 to 68 computations (21.8% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes9.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

8.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
16×	`+-commutative`
8×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	132
1	48	132
2	54	132
3	56	132
4	57	132

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

Compiler

Compiled 49 to 39 computations (20.4% saved)

soundness604.0ms (10.6%)

Rules

692×	`times-frac`
692×	`times-frac`
692×	`times-frac`
676×	`unswap-sqr`
676×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	524	15537
1	1277	13179
2	4150	6215
0	524	15537
1	1277	13179
2	4150	6215
0	524	15537
1	1277	13179
2	4150	6215

Stop Event

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

Compiler

Compiled 322 to 263 computations (18.3% saved)

end66.0ms (1.2%)

Compiler: Compiled 116 to 92 computations (20.7% saved)

arccos

Details

analyze958.0ms (16.8%)

sample2.7s (46.8%)

preprocess69.0ms (1.2%)

simplify68.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize111.0ms (2%)

series2.0ms (0%)

rewrite104.0ms (1.8%)

simplify159.0ms (2.8%)

eval263.0ms (4.6%)

prune58.0ms (1%)

localize293.0ms (5.1%)

series1.0ms (0%)

rewrite102.0ms (1.8%)

simplify74.0ms (1.3%)

eval35.0ms (0.6%)

prune15.0ms (0.3%)

regimes19.0ms (0.3%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0.1%)

simplify7.0ms (0.1%)

soundness604.0ms (10.6%)

end66.0ms (1.2%)

Profiling