Metrics for Prelude:atanh from fay-base-0.20.0.1

analyze1.0ms (0%)

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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.4s (51.2%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess159.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1224×	`fma-def`
496×	`div-sub`
340×	`times-frac`
274×	`fma-neg`
262×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	22	57
2	39	57
3	85	57
4	185	57
5	587	57
6	1736	57
7	2419	57
8	2774	57

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 x) (+.f64 x 1))
(/.f64 (+.f64 x -1) (-.f64 -1 x))

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 16 to 12 computations (25% saved)

localize81.0ms (3%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`pow1`
1652×	`log1p-expm1-u`
1652×	`expm1-log1p-u`
1648×	`add-exp-log`
1618×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	157	19
2	2219	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

simplify60.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-def`
596×	`associate-+r+`
548×	`associate-+l+`
490×	`fma-neg`
436×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1353
1	326	1151
2	1092	967
3	4259	967

Stop Event

1×	node limit

Counts

45 → 67

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

eval19.0ms (0.7%)

Compiler: Compiled 822 to 619 computations (24.7% saved)

prune12.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	6	68

Accuracy

100.0%

Counts

68 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	100.0%	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
▶	49.0%	(+.f64 (*.f64 2 x) 1)
▶	53.4%	(+.f64 -1 (/.f64 -2 x))
	47.6%	1
	52.5%	-1
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	100.0%	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
▶	49.0%	(+.f64 (*.f64 2 x) 1)
▶	53.4%	(+.f64 -1 (/.f64 -2 x))
	47.6%	1
	52.5%	-1

Compiler

Compiled 72 to 60 computations (16.7% saved)

localize106.0ms (4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	100.0%	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
✓	51.4%	(+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))

Compiler

Compiled 59 to 44 computations (25.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite87.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`prod-diff`
1186×	`fma-def`
932×	`log-prod`
444×	`pow-exp`
394×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	56
1	218	44
2	3377	44

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

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

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

simplify115.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1140×	`cancel-sign-sub-inv`
982×	`unswap-sqr`
566×	`distribute-lft-neg-in`
564×	`distribute-rgt-neg-in`
460×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	7687
1	959	7457
2	3302	7453

Stop Event

1×	node limit

Counts

207 → 278

Calls

Call 1

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

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

eval136.0ms (5.1%)

Compiler: Compiled 6089 to 4636 computations (23.9% saved)

prune47.0ms (1.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	2	2
Picked	0	3	3
Done	0	1	1
Total	345	6	351

Accuracy

100.0%

Counts

351 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	100.0%	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
✓	49.0%	(+.f64 (*.f64 2 x) 1)
✓	53.4%	(+.f64 -1 (/.f64 -2 x))
	47.6%	1
	52.5%	-1
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	100.0%	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
✓	49.0%	(+.f64 (*.f64 2 x) 1)
✓	53.4%	(+.f64 -1 (/.f64 -2 x))
	47.6%	1
	52.5%	-1

Compiler

Compiled 72 to 60 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	100.0%	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
✓	49.0%	(+.f64 (*.f64 2 x) 1)
✓	53.4%	(+.f64 -1 (/.f64 -2 x))
	47.6%	1
	52.5%	-1
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	100.0%	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
✓	49.0%	(+.f64 (*.f64 2 x) 1)
✓	53.4%	(+.f64 -1 (/.f64 -2 x))
	47.6%	1
	52.5%	-1

Compiler

Compiled 72 to 60 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	100.0%	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
✓	49.0%	(+.f64 (*.f64 2 x) 1)
✓	53.4%	(+.f64 -1 (/.f64 -2 x))
	47.6%	1
	52.5%	-1

Compiler

Compiled 67 to 55 computations (17.9% saved)

regimes8.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (+.f64 x 1) (-.f64 1 x))`

Compiler

Compiled 41 to 32 computations (22% saved)

regimes43.0ms (1.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

41.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes10.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.6%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
52.5%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch39.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.0033955173762221427	70088156.18499437
18.0ms	-19.255400343135406	-3.9269630869597527e-11

Results

34.0ms

320×

body

256

valid

Compiler

Compiled 292 to 249 computations (14.7% saved)

bsearch83.0ms (3.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
65.0ms	0.0033955173762221427	70088156.18499437
19.0ms	-19.255400343135406	-3.9269630869597527e-11

Results

79.0ms

320×

body

256

valid

Compiler

Compiled 212 to 189 computations (10.8% saved)

bsearch34.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0033955173762221427	70088156.18499437
15.0ms	-19.255400343135406	-3.9269630869597527e-11

Results

31.0ms

320×

body

256

valid

Compiler

Compiled 132 to 129 computations (2.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`if-if-or-not`
4×	`sub-neg`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	44	131
2	47	131
3	49	131
4	50	131

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1080863910568919/2251799813685248) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) (+.f64 1 (*.f64 x 2)))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) 1)
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Compiler

Compiled 58 to 47 computations (19% saved)

soundness93.0ms (3.5%)

Rules

662×	`fma-def`
596×	`associate-+r+`
548×	`associate-+l+`
490×	`fma-neg`
436×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1353
1	326	1151
2	1092	967
3	4259	967

Stop Event

1×	node limit

Compiler

Compiled 51 to 44 computations (13.7% saved)

end0.0ms (0%)

preprocess59.0ms (2.2%)

Compiler: Compiled 124 to 98 computations (21% saved)

analyze1.0ms (0%)

sample1.4s (51.2%)

preprocess159.0ms (6%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize81.0ms (3%)

series1.0ms (0%)

rewrite62.0ms (2.3%)

simplify60.0ms (2.3%)

eval19.0ms (0.7%)

prune12.0ms (0.5%)

localize106.0ms (4%)

series1.0ms (0%)

rewrite87.0ms (3.3%)

simplify115.0ms (4.3%)

eval136.0ms (5.1%)

prune47.0ms (1.8%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes8.0ms (0.3%)

regimes43.0ms (1.6%)

regimes10.0ms (0.4%)

regimes15.0ms (0.6%)

regimes3.0ms (0.1%)

bsearch39.0ms (1.5%)

bsearch83.0ms (3.1%)

bsearch34.0ms (1.3%)

simplify7.0ms (0.3%)

soundness93.0ms (3.5%)

end0.0ms (0%)

preprocess59.0ms (2.2%)

Profiling