Metrics for Rust f64::atanh

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-atanh, time spent: 1.0ms, 169.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (29.9%)

Results

1.1s	8255×	256	valid
0.0ms	3×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

Operation ival-atanh, time spent: 125.0ms, 93.0% of total-time

Operation const, time spent: 9.0ms, 7.0% of total-time

Bogosity

preprocess899.0ms (24.8%)

Algorithm

1×	egg-herbie

Rules

252×	`fma-define`
48×	`sub-neg`
44×	`fma-neg`
26×	`*-commutative`
24×	`distribute-rgt-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (*.f64 2 x) (-.f64 1 x))`
-	-	`1`
-	-	`(-.f64 1 x)`
-	-	`2`
-	-	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
-	-	`1/2`
-	-	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
-	-	`(*.f64 2 x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))

Compiler

Compiled 96 to 74 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 651.0ms

Operation ival-div, time spent: 208.0ms, 32.0% of total-time

Operation composed, time spent: 176.0ms, 27.0% of total-time

Operation ival-log, time spent: 150.0ms, 23.0% of total-time

Operation ival-mult, time spent: 53.0ms, 8.0% of total-time

Operation ival-sub, time spent: 38.0ms, 6.0% of total-time

Operation ival-add, time spent: 15.0ms, 2.0% of total-time

Operation const, time spent: 10.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize324.0ms (8.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
✓	100.0%	(/.f64 (*.f64 2 x) (-.f64 1 x))

Compiler

Compiled 37 to 28 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 337.0ms

Operation ival-mult, time spent: 126.0ms, 37.0% of total-time

Operation composed, time spent: 91.0ms, 27.0% of total-time

Operation ival-log, time spent: 78.0ms, 23.0% of total-time

Operation ival-div, time spent: 15.0ms, 4.0% of total-time

Operation ival-sub, time spent: 15.0ms, 4.0% of total-time

Operation ival-add, time spent: 7.0ms, 2.0% of total-time

Operation const, time spent: 5.0ms, 1.0% of total-time

series53.0ms (1.5%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 2 x) (-.f64 1 x))>
#<alt (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))>

Outputs
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 2 x)))>
#<alt (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x)))))>
#<alt (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x)))))))>
#<alt -2>
#<alt (.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))>
#<alt -2>
#<alt (.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)>
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))>
#<alt (.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))>
#<alt (.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 2/7 (pow.f64 x 2))))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (+ 1 (/ (* 2 x) (- 1 x))))
1.0ms	x	@	-inf	(log (+ 1 (/ (* 2 x) (- 1 x))))
1.0ms	x	@	inf	(log (+ 1 (/ (* 2 x) (- 1 x))))
0.0ms	x	@	inf	(/ (* 2 x) (- 1 x))
0.0ms	x	@	0	(/ (* 2 x) (- 1 x))

rewrite206.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`unpow-prod-down`
1098×	`prod-diff`
728×	`log-prod`
668×	`log1p-expm1-u`
668×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	131	54
2	1761	54

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

Inputs
(/.f64 (*.f64 2 x) (-.f64 1 x))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

Outputs
(+.f64 0 (*.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(.f64 x (.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 x (pow.f64 (/.f64 2 (-.f64 1 x)) 1))
(.f64 x (pow.f64 (.f64 2 (/.f64 1 (-.f64 1 x))) 1))
(.f64 (.f64 2 x) (/.f64 1 (-.f64 1 x)))
(.f64 (.f64 2 x) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3))
(.f64 (.f64 2 x) (pow.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) 2))
(.f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))
(.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1)
(.f64 (.f64 x (/.f64 2 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (.f64 (cbrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))) 1))
(.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (sqrt.f64 (.f64 2 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (sqrt.f64 (.f64 2 x)) (.f64 (sqrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (.f64 (sqrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))) 1))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(.f64 (.f64 x -2) (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 2 x))
(.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (.f64 2 x)) -1))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 x (-.f64 1 x)) (log.f64 (exp.f64 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (.f64 2 x) (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (.f64 2 x)) -1))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (.f64 2 x)) -1))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(.f64 (pow.f64 1 1/3) (.f64 x (/.f64 2 (-.f64 1 x))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (.f64 2 x) (cbrt.f64 (-.f64 1 x))) 1))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 x 1) 1) (pow.f64 (/.f64 2 (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 2 (cbrt.f64 (-.f64 1 x))) 1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))) 1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))) 1))
(.f64 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x 1) 1))
(.f64 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 2))) 1) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (pow.f64 (.f64 (.f64 x (/.f64 2 (-.f64 1 x))) (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 1/3) (pow.f64 (.f64 (.f64 x (/.f64 2 (-.f64 1 x))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) 2) 1/3) (pow.f64 (/.f64 x (-.f64 1 x)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) (.f64 2 x)) 1/3) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (.f64 2 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (.f64 2 x)))) -1) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 1 x) -1) (pow.f64 (/.f64 (-.f64 1 x) 2) -1))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 2 x))) -1))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 2 x))) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 2) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) 2) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (.f64 2 x)) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 2 x))) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (.f64 2 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 2) -1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (.f64 2 x)) -1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 2 x))) -1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (.f64 2 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 2 x))) -1))
(pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) 1) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (*.f64 x -2) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 1 x) (.f64 2 x))) -1))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) (*.f64 x (/.f64 2 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2))) (log.f64 (-.f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 1 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 (pow.f64 1 1/3) (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(.f64 (pow.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 (pow.f64 (.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 2))

simplify228.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

776×	`times-frac`
668×	`cancel-sign-sub-inv`
624×	`fma-neg`
578×	`distribute-lft-in`
546×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	495	6495
1	1040	6411
2	2980	5729

Stop Event

1×	node limit

Counts

181 → 269

Calls

Call 1

Inputs
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2 x)))
(.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x)))))
(.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x)))))))
-2
(.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
-2
(.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 2/7 (pow.f64 x 2))))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(+.f64 0 (*.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(.f64 x (.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 x (pow.f64 (/.f64 2 (-.f64 1 x)) 1))
(.f64 x (pow.f64 (.f64 2 (/.f64 1 (-.f64 1 x))) 1))
(.f64 (.f64 2 x) (/.f64 1 (-.f64 1 x)))
(.f64 (.f64 2 x) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3))
(.f64 (.f64 2 x) (pow.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) 2))
(.f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))
(.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1)
(.f64 (.f64 x (/.f64 2 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (.f64 (cbrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (.f64 (cbrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))) 1))
(.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (sqrt.f64 (.f64 2 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (sqrt.f64 (.f64 2 x)) (.f64 (sqrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (.f64 (sqrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))) 1))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(.f64 (.f64 x -2) (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 2 x))
(.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (.f64 2 x)) -1))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 x (-.f64 1 x)) (log.f64 (exp.f64 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (.f64 2 x) (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (.f64 2 x)) -1))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (.f64 2 x)) -1))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(.f64 (pow.f64 1 1/3) (.f64 x (/.f64 2 (-.f64 1 x))))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (.f64 2 x) (cbrt.f64 (-.f64 1 x))) 1))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 x 1) 1) (pow.f64 (/.f64 2 (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 2 (cbrt.f64 (-.f64 1 x))) 1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))) 1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) 1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))) 1))
(.f64 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x 1) 1))
(.f64 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 2))) 1) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (pow.f64 (.f64 (.f64 x (/.f64 2 (-.f64 1 x))) (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 1/3) (pow.f64 (.f64 (.f64 x (/.f64 2 (-.f64 1 x))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2) 2) 1/3) (pow.f64 (/.f64 x (-.f64 1 x)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) (.f64 2 x)) 1/3) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (.f64 2 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (.f64 2 x)))) -1) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 1 x) -1) (pow.f64 (/.f64 (-.f64 1 x) 2) -1))
(.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 2 x))) -1))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 2 x))) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 2) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) 2) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (.f64 2 x)) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 2 x))) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (.f64 2 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 2) -1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (.f64 2 x)) -1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (.f64 2 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 2 x))) -1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (.f64 2 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 2 x))) -1))
(pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) 1) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (*.f64 x -2) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 1 x) (.f64 2 x))) -1))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)))) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) (*.f64 x (/.f64 2 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2))) (log.f64 (-.f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 1 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 (pow.f64 1 1/3) (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(.f64 (pow.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 (pow.f64 (.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 2))

Outputs
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2 x)))
(*.f64 x (fma.f64 2 x 2))
(.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (fma.f64 x (fma.f64 2 x 2) 2))
(.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2))
(.f64 x (.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 2 x 2)))
-2
(.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 x 2)) (+.f64 2 (/.f64 2 x)))
(+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) (pow.f64 x 2)) (+.f64 -2 (/.f64 -2 x)))
(*.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (/.f64 -1 (pow.f64 x 2))))
-2
(.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))) x) -2)
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -2)
(-.f64 -2 (/.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))) x))
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) 2/3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) 2/5)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/5 2/3) 2))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 2/7 (pow.f64 x 2))))))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 (pow.f64 x 2) 2/7)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/7 2/5) 2/3) 2))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x)))
(-.f64 (log.f64 -1) (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x))
(-.f64 (log.f64 -1) (/.f64 (-.f64 -2 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2))) x))
(+.f64 0 (*.f64 x (/.f64 2 (-.f64 1 x))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(*.f64 x (/.f64 2 (-.f64 1 x)))
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(-.f64 (log1p.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) (*.f64 x (/.f64 2 (-.f64 1 x)))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 3)) (log1p.f64 (-.f64 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 2) (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 3)) (log1p.f64 (+.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2) (*.f64 2 (/.f64 x (+.f64 -1 x))))))
(-.f64 (log1p.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) 3))) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 -1 (+.f64 (/.f64 1/2 x) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2))) (log.f64 (-.f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 2))) (log.f64 (-.f64 1 (/.f64 (.f64 2 x) (-.f64 1 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2))) (log1p.f64 (.f64 2 (/.f64 x (+.f64 -1 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (/.f64 -1 (+.f64 (/.f64 1/2 x) -1/2))))
(.f64 1 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (log.f64 (exp.f64 1)))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 2)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) 2))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (pow.f64 1 1/3) (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (pow.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 2)))
(.f64 (pow.f64 (.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 3))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))) 3))))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 2) (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 7) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) 2) (sqrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))) (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))) 5)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 1))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1/3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))

eval150.0ms (4.1%)

Compiler: Compiled 5447 to 4598 computations (15.6% saved)

prune38.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	265	4	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	265	5	270

Accuracy

100.0%

Counts

270 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f64 1/2 (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
▶	97.0%	(.f64 1/2 (log1p.f64 (.f64 2 x)))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 45 to 39 computations (13.3% saved)

localize226.0ms (6.2%)

Compiler: Compiled 94 to 77 computations (18.1% saved)
Precisions: Click to see histograms. Total time spent on operations: 217.0ms
Operation composed, time spent: 74.0ms, 34.0% of total-time
Operation ival-log, time spent: 48.0ms, 22.0% of total-time
Operation ival-pow, time spent: 26.0ms, 12.0% of total-time
Operation ival-mult, time spent: 26.0ms, 12.0% of total-time
Operation ival-add, time spent: 20.0ms, 9.0% of total-time
Operation ival-div, time spent: 16.0ms, 7.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time

eval0.0ms (0%)

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

prune7.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	4	4
Done	1	1
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(.f64 1/2 (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
✓	97.0%	(.f64 1/2 (log1p.f64 (.f64 2 x)))
✓	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 86 to 74 computations (14% saved)

regimes19.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (log1p.f64 -2))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Calls

4 calls:

6.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
4.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
100.0%	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (log1p.f64 -2))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))

Outputs
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (log1p.f64 -2))
(.f64 1/2 (log1p.f64 (.f64 2 x)))

Outputs
(.f64 1/2 (log1p.f64 (.f64 2 x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (log1p.f64 -2))

Outputs
(*.f64 1/2 (log1p.f64 -2))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
6×	`+-commutative`
4×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	98
1	38	98
2	42	98
3	44	98
4	45	98

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 34 to 30 computations (11.8% saved)

soundness302.0ms (8.3%)

Rules

1292×	`unpow-prod-down`
1098×	`prod-diff`
776×	`times-frac`
728×	`log-prod`
668×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	6495
1	1040	6411
2	2980	5729
0	12	54
1	131	54
2	1761	54

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 310 to 259 computations (16.5% saved)

end0.0ms (0%)

preprocess75.0ms (2.1%)

Compiler: Compiled 84 to 72 computations (14.3% saved)

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

analyze2.0ms (0.1%)

sample1.1s (29.9%)

preprocess899.0ms (24.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize324.0ms (8.9%)

series53.0ms (1.5%)

rewrite206.0ms (5.7%)

simplify228.0ms (6.3%)

eval150.0ms (4.1%)

prune38.0ms (1.1%)

localize226.0ms (6.2%)

eval0.0ms (0%)

prune7.0ms (0.2%)

regimes19.0ms (0.5%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify5.0ms (0.1%)

soundness302.0ms (8.3%)

end0.0ms (0%)

preprocess75.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71