Metrics for Prelude:atanh from fay-base-0.20.0.1

analyze1.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
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)

sample670.0ms (37.9%)

Results

658.0ms

8256×

body

256

valid

Bogosity

preprocess51.0ms (2.9%)

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	42
1	22	38
2	39	38
3	85	38
4	185	38
5	587	38
6	1736	38
7	2419	38
8	2774	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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 (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 9 to 7 computations (22.2% saved)

simplify60.0ms (3.4%)

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 (0.1%)

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

Compiler

Compiled 16 to 12 computations (25% saved)

localize28.0ms (1.6%)

Local Accuracy

Found 1 expressions with local accuracy:

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))

rewrite54.0ms (3.1%)

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))))

simplify56.0ms (3.2%)

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 (1.3%)

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

prune12.0ms (0.7%)

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
▶	54.3%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	55.3%	(+.f64 (*.f64 2 x) 1)
▶	47.2%	(+.f64 -1 (/.f64 -2 x))
	53.8%	1
	45.6%	-1
▶	54.3%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	55.3%	(+.f64 (*.f64 2 x) 1)
▶	47.2%	(+.f64 -1 (/.f64 -2 x))
	53.8%	1
	45.6%	-1

Compiler

Compiled 70 to 58 computations (17.1% saved)

localize68.0ms (3.8%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 58 to 43 computations (25.9% saved)

series3.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`log-prod`
694×	`prod-exp`
586×	`pow-prod-down`
482×	`prod-diff`
460×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	241	42
2	2877	42

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

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

simplify76.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

2024×	`fma-def`
868×	`associate-*r/`
724×	`associate-+l+`
662×	`associate-+r+`
654×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	4937
1	925	4449
2	3095	3885

Stop Event

1×	node limit

Counts

137 → 209

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

eval98.0ms (5.5%)

Compiler: Compiled 4386 to 3393 computations (22.6% saved)

prune36.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	2	2
Picked	0	3	3
Done	0	1	1
Total	276	6	282

Accurracy

100.0%

Counts

282 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.3%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	55.3%	(+.f64 (*.f64 2 x) 1)
✓	47.2%	(+.f64 -1 (/.f64 -2 x))
	53.8%	1
	45.6%	-1
✓	54.3%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	55.3%	(+.f64 (*.f64 2 x) 1)
✓	47.2%	(+.f64 -1 (/.f64 -2 x))
	53.8%	1
	45.6%	-1

Compiler

Compiled 70 to 58 computations (17.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune6.0ms (0.3%)

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
✓	54.3%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	55.3%	(+.f64 (*.f64 2 x) 1)
✓	47.2%	(+.f64 -1 (/.f64 -2 x))
	53.8%	1
	45.6%	-1
✓	54.3%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	55.3%	(+.f64 (*.f64 2 x) 1)
✓	47.2%	(+.f64 -1 (/.f64 -2 x))
	53.8%	1
	45.6%	-1

Compiler

Compiled 70 to 58 computations (17.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (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

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.3%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	55.3%	(+.f64 (*.f64 2 x) 1)
✓	47.2%	(+.f64 -1 (/.f64 -2 x))
	53.8%	1
	45.6%	-1

Compiler

Compiled 65 to 53 computations (18.5% 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))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)

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 40 to 31 computations (22.5% saved)

regimes13.0ms (0.7%)

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)
-1

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes12.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.6%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
45.6%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch34.0ms (1.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0023071684430349525	6.45392765809837e+19
15.0ms	-261.9338901001463	-1.6369344191191995e-7

Results

30.0ms

320×

body

256

valid

Compiler

Compiled 248 to 216 computations (12.9% saved)

bsearch35.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0023071684430349525	6.45392765809837e+19
16.0ms	-261.9338901001463	-1.6369344191191995e-7

Results

29.0ms

320×

body

256

valid

Compiler

Compiled 168 to 156 computations (7.1% saved)

bsearch72.0ms (4.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	0.0023071684430349525	6.45392765809837e+19
13.0ms	-261.9338901001463	-1.6369344191191995e-7

Results

68.0ms

320×

body

256

valid

Compiler

Compiled 132 to 129 computations (2.3% saved)

simplify119.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	119
1	40	119
2	43	119
3	45	119
4	46	119

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) -1))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) -1))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 1 (*.f64 x 2)) -1))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Compiler

Compiled 58 to 47 computations (19% saved)

soundness92.0ms (5.2%)

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%)

preprocess48.0ms (2.7%)

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

analyze1.0ms (0.1%)

sample670.0ms (37.9%)

preprocess51.0ms (2.9%)

simplify60.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize28.0ms (1.6%)

series1.0ms (0%)

rewrite54.0ms (3.1%)

simplify56.0ms (3.2%)

eval23.0ms (1.3%)

prune12.0ms (0.7%)

localize68.0ms (3.8%)

series3.0ms (0.2%)

rewrite79.0ms (4.5%)

simplify76.0ms (4.3%)

eval98.0ms (5.5%)

prune36.0ms (2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune6.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes8.0ms (0.4%)

regimes13.0ms (0.7%)

regimes12.0ms (0.7%)

regimes10.0ms (0.6%)

regimes3.0ms (0.2%)

bsearch34.0ms (1.9%)

bsearch35.0ms (2%)

bsearch72.0ms (4.1%)

simplify119.0ms (6.7%)

soundness92.0ms (5.2%)

end0.0ms (0%)

preprocess48.0ms (2.7%)

Profiling