Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
81.3%	81.2%	18.7%	0%	0%	0%	0%	5
90.6%	90.6%	9.4%	0%	0%	0%	0%	6
95.3%	95.3%	4.7%	0%	0%	0%	0%	7
97.7%	97.6%	2.3%	0%	0%	0%	0%	8
98.8%	98.8%	1.2%	0%	0%	0%	0%	9
99.4%	99.4%	0.6%	0%	0%	0%	0%	10
99.7%	99.7%	0.3%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample703.0ms (35.1%)

Results

694.0ms

8256×

body

256

valid

Bogosity

preprocess72.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

1302×	`fma-def`
484×	`div-sub`
296×	`fma-neg`
286×	`distribute-lft-in`
274×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	19
2	17	19
3	24	19
4	32	19
5	42	19
6	55	19
7	72	19
8	91	19
9	125	19
10	161	19
11	203	19
12	281	19
13	404	19
14	792	19
15	1711	19
16	2349	19
17	2905	19
18	3078	19
19	3214	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify69.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1302×	`fma-def`
484×	`div-sub`
296×	`fma-neg`
286×	`distribute-lft-in`
274×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	19
2	17	19
3	24	19
4	32	19
5	42	19
6	55	19
7	72	19
8	91	19
9	125	19
10	161	19
11	203	19
12	281	19
13	404	19
14	792	19
15	1711	19
16	2349	19
17	2905	19
18	3078	19
19	3214	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% 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 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 16 to 11 computations (31.3% 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))

rewrite58.0ms (2.9%)

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))))

simplify59.0ms (2.9%)

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))

eval23.0ms (1.1%)

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

prune9.0ms (0.4%)

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

Accurracy

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)
▶	52.1%	(+.f64 (*.f64 2 x) 1)
▶	50.2%	(+.f64 -1 (/.f64 -2 x))
	50.8%	1
	48.9%	-1

Compiler

Compiled 36 to 30 computations (16.7% saved)

localize5.0ms (0.2%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize5.0ms (0.3%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize14.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	95.5%	(+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))

Compiler

Compiled 36 to 27 computations (25% saved)

series1.0ms (0.1%)

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)

rewrite78.0ms (3.9%)

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)

simplify197.0ms (9.8%)

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))
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(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)

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))
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(/.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(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))))

eval207.0ms (10.4%)

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

prune48.0ms (2.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

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

Accurracy

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)
✓	52.1%	(+.f64 (*.f64 2 x) 1)
✓	50.2%	(+.f64 -1 (/.f64 -2 x))
	50.8%	1
	48.9%	-1

Compiler

Compiled 36 to 30 computations (16.7% saved)

eval0.0ms (0%)

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

prune2.0ms (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

Accurracy

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)
✓	52.1%	(+.f64 (*.f64 2 x) 1)
✓	50.2%	(+.f64 -1 (/.f64 -2 x))
	50.8%	1
	48.9%	-1

Compiler

Compiled 36 to 30 computations (16.7% saved)

eval0.0ms (0%)

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

prune2.0ms (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

Accurracy

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)
✓	52.1%	(+.f64 (*.f64 2 x) 1)
✓	50.2%	(+.f64 -1 (/.f64 -2 x))
	50.8%	1
	48.9%	-1

Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes8.0ms (0.4%)

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

Calls

2 calls:

4.0ms	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)

regimes9.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	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 30 to 23 computations (23.3% saved)

regimes11.0ms (0.6%)

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:

10.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch29.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.006986304636627402	414031.94555594533
15.0ms	-107549.26045298061	-0.42291601763370046

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 264 to 225 computations (14.8% saved)

regimes13.0ms (0.6%)

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:

12.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch56.0ms (2.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	0.006986304636627402	414031.94555594533
13.0ms	-107549.26045298061	-0.42291601763370046

Results

53.0ms

288×

body

256

valid

Compiler

Compiled 192 to 171 computations (10.9% saved)

regimes9.0ms (0.4%)

Accuracy

Total -61.8b remaining (-4976.7%)

Threshold costs -61.8b (-4976.7%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch29.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.006986304636627402	414031.94555594533
13.0ms	-107549.26045298061	-0.42291601763370046

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 120 to 117 computations (2.5% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
8×	`sub-neg`
6×	`if-if-or-not`
6×	`*-commutative`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	162
1	49	162
2	55	162
3	62	162
4	63	162

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -2308094809027379/1125899906842624) (+.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 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(if (<=.f64 x -2308094809027379/1125899906842624) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -2308094809027379/1125899906842624) (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 70 to 57 computations (18.6% saved)

soundness191.0ms (9.5%)

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
0	119	1353
1	326	1151
2	1092	967
3	4259	967

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 103 to 86 computations (16.5% saved)

end74.0ms (3.7%)

Compiler: Compiled 65 to 52 computations (20% saved)

Details

analyze4.0ms (0.2%)

sample703.0ms (35.1%)

preprocess72.0ms (3.6%)

simplify69.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0%)

rewrite58.0ms (2.9%)

simplify59.0ms (2.9%)

eval23.0ms (1.1%)

prune9.0ms (0.4%)

localize5.0ms (0.2%)

localize5.0ms (0.3%)

localize14.0ms (0.7%)

series1.0ms (0.1%)

rewrite78.0ms (3.9%)

simplify197.0ms (9.8%)

eval207.0ms (10.4%)

prune48.0ms (2.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes8.0ms (0.4%)

regimes9.0ms (0.5%)

regimes11.0ms (0.6%)

bsearch29.0ms (1.5%)

regimes13.0ms (0.6%)

bsearch56.0ms (2.8%)

regimes9.0ms (0.4%)

bsearch29.0ms (1.4%)

simplify8.0ms (0.4%)

soundness191.0ms (9.5%)

end74.0ms (3.7%)

Profiling