Metrics for Hyperbolic arc-(co)secant

analyze15.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-div, time spent: 9.0ms, 84.0% of total-time

Operation ival-log, time spent: 1.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 9.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

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

sample3.3s (41.1%)

Results

3.1s	8255×	0	valid
5.0ms	20×	0	invalid
4.0ms	3×	6	exit
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

Operation ival-div, time spent: 418.0ms, 25.0% of total-time

Operation ival-sqrt, time spent: 305.0ms, 19.0% of total-time

Operation ival-sub, time spent: 257.0ms, 16.0% of total-time

Operation ival-log, time spent: 252.0ms, 15.0% of total-time

Operation ival-mult, time spent: 184.0ms, 11.0% of total-time

Operation ival-add, time spent: 174.0ms, 11.0% of total-time

Operation const, time spent: 55.0ms, 3.0% of total-time

Bogosity

preprocess715.0ms (9%)

Algorithm

1×	egg-herbie

Rules

1538×	`fma-define`
1138×	`distribute-rgt-neg-in`
1096×	`distribute-lft-out`
1036×	`distribute-lft-out--`
920×	`fma-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 (-.f64 1 (*.f64 x x)))`
-	-	`x`
-	-	`(-.f64 1 (*.f64 x x))`
-	-	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
-	-	`(*.f64 x x)`
-	-	`(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)`
-	-	`(/.f64 1 x)`
-	-	`1`
-	-	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	23	224
1	50	208
2	84	208
3	170	208
4	307	196
5	528	196
6	846	168
7	1587	166
8	2782	166
9	4092	166
10	4751	166
11	5185	166
12	6007	166
13	6918	166
14	7306	166
15	7902	166

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(log.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)))
(-.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (log.f64 x))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(log.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)))
(-.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (log.f64 x))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (-.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (.f64 (/.f64 -1 x) (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -1)))
(log.f64 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))
(neg.f64 (log.f64 (-.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(neg.f64 (log.f64 (.f64 (/.f64 -1 x) (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -1))))
(neg.f64 (log.f64 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))
(-.f64 (log.f64 (neg.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 x)) (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))

Compiler

Compiled 122 to 70 computations (42.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

Operation ival-sub, time spent: 74.0ms, 27.0% of total-time

Operation ival-div, time spent: 54.0ms, 20.0% of total-time

Operation ival-add, time spent: 43.0ms, 16.0% of total-time

Operation ival-sqrt, time spent: 41.0ms, 15.0% of total-time

Operation ival-mult, time spent: 31.0ms, 11.0% of total-time

Operation ival-log, time spent: 21.0ms, 8.0% of total-time

Operation const, time spent: 9.0ms, 3.0% of total-time

eval8.0ms (0.1%)

Compiler: Compiled 47 to 32 computations (31.9% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize267.0ms (3.4%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 54 to 30 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

Operation ival-add, time spent: 68.0ms, 40.0% of total-time

Operation ival-sqrt, time spent: 40.0ms, 24.0% of total-time

Operation ival-div, time spent: 25.0ms, 15.0% of total-time

Operation ival-sub, time spent: 22.0ms, 13.0% of total-time

Operation ival-log, time spent: 5.0ms, 3.0% of total-time

Operation const, time spent: 5.0ms, 3.0% of total-time

Operation ival-mult, time spent: 2.0ms, 1.0% of total-time

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
2.0ms	x	@	-inf	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
1.0ms	x	@	0	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite434.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`log1p-expm1-u`
973×	`expm1-log1p-u`
876×	`log-prod`
798×	`fma-define`
384×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	189	41
2	2773	41

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

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

simplify204.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1168×	`times-frac`
932×	`fma-define`
796×	`associate-/r*`
472×	`*-commutative`
430×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	5381
1	705	5006
2	2106	4820
3	7885	4820

Stop Event

1×	node limit

Counts

96 → 142

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 5)) (.f64 2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)) (/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(.f64 1 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1))
(.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (pow.f64 x -2))
(.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(.f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 1 x))
(/.f64 1 (/.f64 (pow.f64 x 2) (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))) (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (pow.f64 x 2))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 -1 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (+.f64 x (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 1)) (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(/.f64 (fma.f64 -1 x (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1)) (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 x) (*.f64 x -1)) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x (*.f64 (neg.f64 x) 1)) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x) (.f64 (neg.f64 x) -1)) (.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (neg.f64 (pow.f64 x 2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(/.f64 (fma.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2) (neg.f64 (pow.f64 x -2))) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1) (pow.f64 x 2))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1 (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x) (/.f64 1 x))
(fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 5)) (.f64 2 (/.f64 1 x)))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
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(.f64 x (/.f64 (.f64 (pow.f64 x -2) (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (fma.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2) (neg.f64 (pow.f64 x -2))) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 1 x)))
(.f64 (/.f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) x)
(.f64 x (/.f64 (.f64 (+.f64 (+.f64 -1 (pow.f64 x 2)) 1) (pow.f64 x -2)) (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(.f64 x (/.f64 (.f64 (pow.f64 x -2) (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1) (pow.f64 x 2))
(*.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) x) x)
(*.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 3) 1/3)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (exp.f64 (/.f64 1 x))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 3))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) 0)
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1 (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 1 x)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)

eval132.0ms (1.7%)

Compiler: Compiled 2770 to 2214 computations (20.1% saved)

prune41.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	3	143

Accuracy

100.0%

Counts

143 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.5%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 30 to 23 computations (23.3% saved)

localize205.0ms (2.6%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 45 to 34 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

Operation ival-div, time spent: 46.0ms, 43.0% of total-time

Operation ival-mult, time spent: 25.0ms, 24.0% of total-time

Operation ival-log, time spent: 19.0ms, 18.0% of total-time

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

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

series131.0ms (1.7%)

Counts

3 → 27

Calls

9 calls:

Time	Variable		Point	Expression
60.0ms	x	@	0	(log.f64 (/.f64 2 x))
39.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
16.0ms	x	@	inf	(log.f64 (/.f64 2 x))
8.0ms	x	@	0	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
2.0ms	x	@	0	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

rewrite142.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`log-prod`
780×	`log1p-expm1-u`
780×	`expm1-log1p-u`
584×	`fma-define`
402×	`pow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	192	60
2	2234	60

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

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

simplify202.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

958×	`distribute-lft-in`
914×	`distribute-rgt-in`
654×	`log-prod`
644×	`fma-neg`
590×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	7497
1	1095	7233
2	3232	6969

Stop Event

1×	node limit

Counts

210 → 268

Calls

Call 1

Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 -1/2 x) (/.f64 2 x))) (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x)) (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (pow.f64 x 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (pow.f64 x -2) 4 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 -1/2 (*.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (-.f64 (.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (pow.f64 x 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))) (neg.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4)) (-.f64 (/.f64 2 x) (.f64 -1/2 x)))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (pow.f64 x 2) 1/4)))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x)))))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x)) (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) 1) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) -1/2) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 x) -1/2)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) 2) (.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (.f64 -1/2 x)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/4)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) 2) (.f64 -1/2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (.f64 -1/2 x)) (sqrt.f64 (.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 -2 (/.f64 1 (neg.f64 x)) (*.f64 -1/2 x))
(fma.f64 (.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (.f64 -1/2 x))
(fma.f64 (.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (.f64 -1/2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(+.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (pow.f64 x 2) 1/4)))))
(+.f64 (log.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))) (log.f64 (/.f64 1 (-.f64 (.f64 -1/2 x) (/.f64 2 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x)) (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (pow.f64 x 2) 1/4))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (pow.f64 x -2) 4 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 -1/2 (*.f64 x (/.f64 2 x)))))))
(-.f64 (log.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))) (log.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))) (log.f64 (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (pow.f64 x 2) 1/4)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))))) (log.f64 (neg.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x)))))
(-.f64 (log.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4))) (log.f64 (-.f64 (/.f64 2 x) (.f64 -1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x)) (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 2))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) 2)))
(+.f64 (.f64 -1/2 (log.f64 x)) (log.f64 (.f64 (pow.f64 x -1/2) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2)))) (neg.f64 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (.f64 2 (pow.f64 x -1/2))) (.f64 -1/2 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x 1/2))))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (log.f64 (/.f64 2 x)) (log.f64 (exp.f64 1)))
(.f64 -1 (log.f64 (.f64 x 1/2)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (cbrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))

Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/32 (pow.f64 x 4) (*.f64 -1/192 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/32 (pow.f64 x 4) (*.f64 -1/192 (pow.f64 x 6)))) (log.f64 (/.f64 2 x)))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/192 (pow.f64 x 6) (*.f64 -1/32 (pow.f64 x 4)))) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 x -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (pow.f64 x 2))))
(+.f64 (log.f64 (*.f64 x -1/2)) (/.f64 -4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 (*.f64 x -1/2)) (-.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 (*.f64 x -1/2)) (+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -8 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))))
(-.f64 (log.f64 (*.f64 x -1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (+.f64 (log.f64 (*.f64 x -1/2)) (+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -8 (pow.f64 x 4)))) (/.f64 -64/3 (pow.f64 x 6)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 x -1/2))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (pow.f64 x 2))))
(+.f64 (log.f64 (*.f64 x -1/2)) (/.f64 -4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 (*.f64 x -1/2)) (-.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 (*.f64 x -1/2)) (+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -8 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))))
(-.f64 (log.f64 (*.f64 x -1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (+.f64 (log.f64 (*.f64 x -1/2)) (+.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 -8 (pow.f64 x 4)))) (/.f64 -64/3 (pow.f64 x 6)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 -1/2 x) (/.f64 2 x))) (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (-.f64 (.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (/.f64 -4 (pow.f64 x 2))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 -1/4 (pow.f64 x 2) (/.f64 4 (pow.f64 x 2))) (fma.f64 x 1/2 (/.f64 2 x)))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) (log.f64 (exp.f64 1)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 1 (.f64 4 (pow.f64 x -2)))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (-.f64 (.f64 x -1/2) (/.f64 2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (/.f64 -4 (pow.f64 x 2))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 -1/4 (pow.f64 x 2) (/.f64 4 (pow.f64 x 2))) (fma.f64 x 1/2 (/.f64 2 x)))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3)
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(fma.f64 x -1/2 (/.f64 2 x))
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(log.f64 (/.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (log.f64 (.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log.f64 (/.f64 2 x))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (/.f64 2 x))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (cbrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))

eval230.0ms (2.9%)

Compiler: Compiled 4296 to 3428 computations (20.2% saved)

prune79.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	266	5	271

Accuracy

100.0%

Counts

271 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
▶	98.6%	(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
✓	99.0%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.5%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 51 to 41 computations (19.6% saved)

localize359.0ms (4.5%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (fma.f64 -1/2 x (/.f64 2 x)))
✓	100.0%	(fma.f64 -1/2 x (/.f64 2 x))
✓	99.6%	(*.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
✓	99.4%	(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
	100.0%	(log.f64 (/.f64 2 x))
✓	99.6%	(*.f64 3 (log.f64 (/.f64 2 x)))
✓	99.4%	(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))

Compiler

Compiled 68 to 53 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

Operation ival-mult, time spent: 78.0ms, 27.0% of total-time

Operation ival-div, time spent: 65.0ms, 22.0% of total-time

Operation ival-log, time spent: 64.0ms, 22.0% of total-time

Operation composed, time spent: 49.0ms, 17.0% of total-time

Operation ival-add, time spent: 21.0ms, 7.0% of total-time

Operation const, time spent: 14.0ms, 5.0% of total-time

series27.0ms (0.3%)

Counts

6 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
1.0ms	x	@	inf	(*.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
1.0ms	x	@	-inf	(*.f64 3 (log.f64 (/.f64 2 x)))
1.0ms	x	@	inf	(*.f64 3 (log.f64 (/.f64 2 x)))
1.0ms	x	@	0	(*.f64 3 (log.f64 (/.f64 2 x)))

rewrite146.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`unpow-prod-down`
812×	`log-prod`
650×	`log1p-expm1-u`
650×	`expm1-log1p-u`
382×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	136
1	197	136
2	1887	136

Stop Event

1×	node limit

Counts

6 → 268

Calls

Call 1

Inputs
(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(log.f64 (fma.f64 -1/2 x (/.f64 2 x)))

Outputs
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x 1/2))))
(-.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(log.f64 (*.f64 (exp.f64 (log.f64 2)) (/.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (log.f64 (/.f64 4 (pow.f64 x 2))))
(+.f64 0 (log.f64 (pow.f64 (/.f64 2 x) 3)))
(+.f64 (log.f64 (/.f64 4 (pow.f64 x 2))) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (.f64 (/.f64 2 x) (sqrt.f64 (/.f64 2 x)))) (log.f64 (.f64 (/.f64 2 x) (sqrt.f64 (/.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))))
(+.f64 (log.f64 (*.f64 (/.f64 4 (pow.f64 x 2)) 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 4 (pow.f64 x 2)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (/.f64 4 (pow.f64 x 2)) (sqrt.f64 (/.f64 2 x)))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))) 1)
(-.f64 (log.f64 (/.f64 4 (pow.f64 x 2))) (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 (*.f64 (/.f64 4 (pow.f64 x 2)) 2)) (log.f64 x))
(-.f64 (log.f64 (*.f64 (/.f64 4 (pow.f64 x 2)) -2)) (log.f64 (neg.f64 x)))
(pow.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)) 2))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 2 x) 3) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 x) 3) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))) 2))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1)
(-.f64 (log.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 (/.f64 2 x) 3))) (log.f64 (+.f64 (pow.f64 (.f64 x -1/2) 2) (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (.f64 x -1/2) (/.f64 2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 x -1/2) 2) (/.f64 4 (pow.f64 x 2)))) (log.f64 (-.f64 (.f64 x -1/2) (/.f64 2 x))))
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log.f64 (+.f64 1 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (*.f64 2 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 0 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (*.f64 2 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(+.f64 (log.f64 (.f64 (fma.f64 x -1/2 (/.f64 2 x)) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (.f64 (fma.f64 x -1/2 (/.f64 2 x)) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))
(+.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 1)
(pow.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 9) 1/2)
(pow.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 9))
(log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 27))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(exp.f64 (.f64 (log.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 1/3))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/3) 1/3) (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (cbrt.f64 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (sqrt.f64 1/3) 2) (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))

simplify176.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1402×	`log-prod`
1254×	`fma-neg`
804×	`exp-prod`
728×	`associate-r`
628×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	657	12344
1	1666	11835
2	5725	11567

Stop Event

1×	node limit

Counts

340 → 391

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (+.f64 (.f64 -1/64 (pow.f64 x 6)) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))))
(.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 24 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (*.f64 64 (/.f64 1 (pow.f64 x 6))))))
(.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 24 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (*.f64 64 (/.f64 1 (pow.f64 x 6))))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x 1/2))))
(-.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(log.f64 (*.f64 (exp.f64 (log.f64 2)) (/.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (log.f64 (/.f64 4 (pow.f64 x 2))))
(+.f64 0 (log.f64 (pow.f64 (/.f64 2 x) 3)))
(+.f64 (log.f64 (/.f64 4 (pow.f64 x 2))) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (.f64 (/.f64 2 x) (sqrt.f64 (/.f64 2 x)))) (log.f64 (.f64 (/.f64 2 x) (sqrt.f64 (/.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))))
(+.f64 (log.f64 (*.f64 (/.f64 4 (pow.f64 x 2)) 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 4 (pow.f64 x 2)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (/.f64 4 (pow.f64 x 2)) (sqrt.f64 (/.f64 2 x)))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))) 1)
(-.f64 (log.f64 (/.f64 4 (pow.f64 x 2))) (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 (*.f64 (/.f64 4 (pow.f64 x 2)) 2)) (log.f64 x))
(-.f64 (log.f64 (*.f64 (/.f64 4 (pow.f64 x 2)) -2)) (log.f64 (neg.f64 x)))
(pow.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)) 2))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 2 x) 3) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 x) 3) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))) 2))
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(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1)
(-.f64 (log.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 (/.f64 2 x) 3))) (log.f64 (+.f64 (pow.f64 (.f64 x -1/2) 2) (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (.f64 x -1/2) (/.f64 2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 x -1/2) 2) (/.f64 4 (pow.f64 x 2)))) (log.f64 (-.f64 (.f64 x -1/2) (/.f64 2 x))))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(.f64 3 (.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1/3))
(.f64 3 (pow.f64 (.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1/3) 1))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (log.f64 (exp.f64 1)))
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1/3)
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (exp.f64 1/3)))
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 1/3) 3))
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (sqrt.f64 1/3) 2))
(*.f64 1 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) (.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) (pow.f64 (.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) 1))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (pow.f64 (.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) 1))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2)) (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(*.f64 (pow.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1) 3)
(*.f64 (pow.f64 1 1/3) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(.f64 (pow.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2)) 1) (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 1) (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (cbrt.f64 1/3) 3) (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/3) 1/3) (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (cbrt.f64 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (sqrt.f64 1/3) 2) (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/32 (pow.f64 x 4) (*.f64 -1/192 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/32 (pow.f64 x 4) (*.f64 -1/192 (pow.f64 x 6)))) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 x -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (pow.f64 x 2))))
(-.f64 (log.f64 (*.f64 x -1/2)) (/.f64 4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 2))))
(-.f64 (-.f64 (log.f64 (*.f64 x -1/2)) (/.f64 4 (pow.f64 x 2))) (/.f64 8 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))) (/.f64 4 (pow.f64 x 2))))
(-.f64 (-.f64 (-.f64 (log.f64 (*.f64 x -1/2)) (/.f64 4 (pow.f64 x 2))) (/.f64 8 (pow.f64 x 4))) (/.f64 64/3 (pow.f64 x 6)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 2)))))
(-.f64 (-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 8 (pow.f64 x 4))) (/.f64 4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))) (/.f64 4 (pow.f64 x 2)))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 64/3 (pow.f64 x 6)))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))
(fma.f64 -3/4 (pow.f64 x 2) (*.f64 3 (log.f64 (/.f64 2 x))))
(fma.f64 3 (log.f64 (/.f64 2 x)) (*.f64 (pow.f64 x 2) -3/4))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))))
(fma.f64 -3/4 (pow.f64 x 2) (fma.f64 -3/32 (pow.f64 x 4) (*.f64 3 (log.f64 (/.f64 2 x)))))
(fma.f64 (pow.f64 x 2) -3/4 (fma.f64 3 (log.f64 (/.f64 2 x)) (*.f64 (pow.f64 x 4) -3/32)))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (+.f64 (.f64 -1/64 (pow.f64 x 6)) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))))
(fma.f64 -3/4 (pow.f64 x 2) (fma.f64 -3/32 (pow.f64 x 4) (fma.f64 -1/64 (pow.f64 x 6) (*.f64 3 (log.f64 (/.f64 2 x))))))
(fma.f64 (pow.f64 x 2) -3/4 (fma.f64 (pow.f64 x 4) -3/32 (fma.f64 3 (log.f64 (/.f64 2 x)) (*.f64 (pow.f64 x 6) -1/64))))
(.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(*.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))))
(.f64 3 (log.f64 (.f64 x -1/2)))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))
(fma.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (/.f64 12 (pow.f64 x 2))))
(fma.f64 3 (log.f64 (*.f64 x -1/2)) (/.f64 -12 (pow.f64 x 2)))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 24 (/.f64 1 (pow.f64 x 4)))))
(fma.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (+.f64 (/.f64 12 (pow.f64 x 2)) (/.f64 24 (pow.f64 x 4)))))
(-.f64 (fma.f64 3 (log.f64 (*.f64 x -1/2)) (/.f64 -12 (pow.f64 x 2))) (/.f64 24 (pow.f64 x 4)))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (*.f64 64 (/.f64 1 (pow.f64 x 6))))))
(fma.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (+.f64 (/.f64 12 (pow.f64 x 2)) (+.f64 (/.f64 24 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 6))))))
(-.f64 (fma.f64 3 (log.f64 (*.f64 x -1/2)) (/.f64 -12 (pow.f64 x 2))) (+.f64 (/.f64 24 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 6))))
(.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 3 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 3 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
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(.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (pow.f64 (.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2)) (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 1 1/3) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2)) 1) (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 1) (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (cbrt.f64 1/3) 3) (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/3) 1/3) (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (*.f64 1/3 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (cbrt.f64 1/3))
(.f64 (cbrt.f64 1/3) (cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))))
(.f64 (cbrt.f64 1/3) (cbrt.f64 (.f64 3 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 7) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 5)))
(.f64 (pow.f64 (sqrt.f64 1/3) 2) (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(fabs.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 1/3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(fabs.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))

eval203.0ms (2.6%)

Compiler: Compiled 7914 to 6613 computations (16.4% saved)

prune65.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	452	1	453
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	453	5	458

Accuracy

100.0%

Counts

458 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
▶	99.0%	(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
✓	99.0%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.5%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 52 to 42 computations (19.2% saved)

localize112.0ms (1.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))
✓	100.0%	(+.f64 (/.f64 2 x) (*.f64 x -1/2))
✓	99.6%	(.f64 3 (log.f64 (+.f64 (/.f64 2 x) (.f64 x -1/2))))
✓	99.4%	(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))

Compiler

Compiled 50 to 39 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

Operation ival-mult, time spent: 20.0ms, 32.0% of total-time

Operation ival-log, time spent: 16.0ms, 25.0% of total-time

Operation ival-div, time spent: 12.0ms, 19.0% of total-time

Operation ival-add, time spent: 12.0ms, 19.0% of total-time

Operation const, time spent: 5.0ms, 8.0% of total-time

series10.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
1.0ms	x	@	inf	(.f64 3 (log.f64 (+.f64 (/.f64 2 x) (.f64 x -1/2))))
1.0ms	x	@	-inf	(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
1.0ms	x	@	inf	(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
1.0ms	x	@	inf	(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))

rewrite129.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`unpow-prod-down`
762×	`log-prod`
714×	`log1p-expm1-u`
714×	`expm1-log1p-u`
514×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	118
1	165	102
2	2010	102

Stop Event

1×	node limit

Counts

4 → 253

Calls

Call 1

Inputs
(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
(.f64 3 (log.f64 (+.f64 (/.f64 2 x) (.f64 x -1/2))))
(+.f64 (/.f64 2 x) (*.f64 x -1/2))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))

Outputs
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (/.f64 1 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2))))))
(+.f64 (log.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4))) (log.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1)
(-.f64 0 (log.f64 (/.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2))) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (/.f64 2 x) (.f64 1/2 x)) (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (.f64 (/.f64 2 x) x) -1/2)))))
(-.f64 (log.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4))) (log.f64 (+.f64 (/.f64 2 x) (.f64 1/2 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))) (log.f64 (neg.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4)))) (log.f64 (neg.f64 (+.f64 (/.f64 2 x) (.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))) (log.f64 (-.f64 (.f64 x -1/2) (/.f64 2 x))))
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2))) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 2 x) (.f64 1/2 x)) (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log.f64 (+.f64 1 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (*.f64 2 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 0 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (*.f64 2 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(+.f64 (log.f64 (.f64 (fma.f64 x -1/2 (/.f64 2 x)) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (.f64 (fma.f64 x -1/2 (/.f64 2 x)) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))
(+.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 1)
(-.f64 (log.f64 (.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))) (log.f64 (fma.f64 (.f64 x -1/2) (-.f64 (*.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2)))))
(-.f64 (log.f64 (.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4)))) (log.f64 (+.f64 (/.f64 2 x) (*.f64 1/2 x))))
(pow.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2)
(sqrt.f64 (pow.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))
(log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(exp.f64 (.f64 (log.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 3))
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(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (/.f64 1 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2))))))
(+.f64 (log.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4))) (log.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1)
(-.f64 0 (log.f64 (/.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2))) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (/.f64 2 x) (.f64 1/2 x)) (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (.f64 (/.f64 2 x) x) -1/2)))))
(-.f64 (log.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4))) (log.f64 (+.f64 (/.f64 2 x) (.f64 1/2 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))) (log.f64 (neg.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4)))) (log.f64 (neg.f64 (+.f64 (/.f64 2 x) (.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))) (log.f64 (-.f64 (.f64 x -1/2) (/.f64 2 x))))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(.f64 3 (.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1/3))
(.f64 3 (pow.f64 (.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1/3) 1))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (log.f64 (exp.f64 1)))
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1/3)
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (exp.f64 1/3)))
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 1/3) 3))
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (sqrt.f64 1/3) 2))
(*.f64 1 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) (.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) (pow.f64 (.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) 1))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (pow.f64 (.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) 1))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2)) (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(*.f64 (pow.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1) 3)
(.f64 (pow.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2)) 1) (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 1) (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (cbrt.f64 1/3) 3) (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/3) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(.f64 (pow.f64 (.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (pow.f64 (*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/3) 1/3) (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (pow.f64 1/3 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1/3))
(.f64 (pow.f64 (sqrt.f64 1/3) 2) (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2))) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 2 x) (.f64 1/2 x)) (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))

simplify256.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1268×	`log-prod`
852×	`fma-neg`
790×	`associate-r`
772×	`exp-prod`
692×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	587	14384
1	1521	13672
2	5321	13578

Stop Event

1×	node limit

Counts

301 → 380

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (+.f64 (.f64 -1/64 (pow.f64 x 6)) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))))
(.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 24 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (*.f64 64 (/.f64 1 (pow.f64 x 6))))))
(.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 24 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (*.f64 64 (/.f64 1 (pow.f64 x 6))))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/32 (pow.f64 x 4) (*.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/192 (pow.f64 x 6) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (pow.f64 x 2)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))
(+.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 2))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 2)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 4 (pow.f64 x 2)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 2)))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 x))) 3)
(*.f64 (-.f64 (log.f64 2) (log.f64 x)) 3)
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))
(fma.f64 -3/4 (pow.f64 x 2) (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 x))) 3))
(fma.f64 (-.f64 (log.f64 2) (log.f64 x)) 3 (*.f64 (pow.f64 x 2) -3/4))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))))
(fma.f64 -3/4 (pow.f64 x 2) (fma.f64 -3/32 (pow.f64 x 4) (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 x))) 3)))
(fma.f64 (pow.f64 x 2) -3/4 (fma.f64 (-.f64 (log.f64 2) (log.f64 x)) 3 (*.f64 (pow.f64 x 4) -3/32)))
(+.f64 (.f64 -3/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (+.f64 (.f64 -1/64 (pow.f64 x 6)) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))))
(fma.f64 -3/4 (pow.f64 x 2) (fma.f64 -3/32 (pow.f64 x 4) (fma.f64 -1/64 (pow.f64 x 6) (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 x))) 3))))
(fma.f64 (pow.f64 x 2) -3/4 (fma.f64 (pow.f64 x 4) -3/32 (fma.f64 (-.f64 (log.f64 2) (log.f64 x)) 3 (*.f64 (pow.f64 x 6) -1/64))))
(.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(*.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) 3)
(*.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) 3)
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))
(fma.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (/.f64 12 (pow.f64 x 2))))
(fma.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) 3 (/.f64 -12 (pow.f64 x 2)))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 24 (/.f64 1 (pow.f64 x 4)))))
(fma.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (+.f64 (/.f64 12 (pow.f64 x 2)) (/.f64 24 (pow.f64 x 4)))))
(-.f64 (fma.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) 3 (/.f64 -12 (pow.f64 x 2))) (/.f64 24 (pow.f64 x 4)))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (*.f64 64 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (*.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) 3) (+.f64 (/.f64 12 (pow.f64 x 2)) (+.f64 (/.f64 24 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 6)))))
(-.f64 (fma.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) 3 (/.f64 -12 (pow.f64 x 2))) (+.f64 (/.f64 24 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 6))))
(.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)
(*.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) 3)
(-.f64 (.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) 3) (/.f64 12 (pow.f64 x 2)))
(fma.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) 3 (/.f64 -12 (pow.f64 x 2)))
(-.f64 (.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 24 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (*.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) 3) (+.f64 (/.f64 12 (pow.f64 x 2)) (/.f64 24 (pow.f64 x 4))))
(-.f64 (fma.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) 3 (/.f64 -12 (pow.f64 x 2))) (/.f64 24 (pow.f64 x 4)))
(-.f64 (.f64 3 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (*.f64 64 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (*.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) 3) (+.f64 (/.f64 12 (pow.f64 x 2)) (+.f64 (/.f64 24 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 6)))))
(-.f64 (fma.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) 3 (/.f64 -12 (pow.f64 x 2))) (+.f64 (/.f64 24 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 6))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/32 (pow.f64 x 4) (*.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/192 (pow.f64 x 6) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (pow.f64 x 2)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))
(+.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 2))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
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(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 2)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 4 (pow.f64 x 2)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 0)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (/.f64 1 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)) (/.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4))) (log.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4))) (log.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2))))
(-.f64 (log.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (/.f64 4 (pow.f64 x 2)))) (log.f64 (fma.f64 x 1/2 (/.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
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(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (log.f64 (exp.f64 1)))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1/3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (exp.f64 1/3)))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 1/3) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (sqrt.f64 1/3) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 1 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/3))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) (.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) (pow.f64 (.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (pow.f64 (.f64 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2)) (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2)) 1) (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 1) (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (cbrt.f64 1/3) 3) (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/3) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2)))
(*.f64 (pow.f64 1 1/3) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (pow.f64 (*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (cbrt.f64 (*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)) (cbrt.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/3) 1/3) (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) (cbrt.f64 (.f64 1/3 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (pow.f64 1/3 1/3))
(.f64 (cbrt.f64 1/3) (cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)))))
(.f64 (cbrt.f64 1/3) (cbrt.f64 (.f64 3 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 7) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 5)))
(.f64 (pow.f64 (sqrt.f64 1/3) 2) (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 1/3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(neg.f64 (log.f64 (/.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2))) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (.f64 x -1/2) (-.f64 (.f64 x -1/2) (/.f64 2 x)) (/.f64 4 (pow.f64 x 2)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)) (/.f64 4 (pow.f64 x 2)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 2 x) (.f64 1/2 x)) (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4)))))
(-.f64 (log.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4))) (log.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2))))
(-.f64 (log.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (/.f64 4 (pow.f64 x 2)))) (log.f64 (fma.f64 x 1/2 (/.f64 2 x))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(fabs.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))

eval257.0ms (3.2%)

Compiler: Compiled 8307 to 6928 computations (16.6% saved)

prune59.0ms (0.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	380	0	380
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	380	5	385

Accuracy

100.0%

Counts

385 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
✓	99.0%	(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
✓	99.0%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.5%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 111 to 89 computations (19.8% saved)

regimes15.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

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

Calls

3 calls:

5.0ms	x
5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes4.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.3b remaining (-50.5%)

Threshold costs -0.3b (-50.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))

Outputs
(log.f64 (/.f64 2 x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`*-commutative`
6×	`sub-neg`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	100
1	36	100
2	43	100
3	47	100
4	49	100

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess39.0ms (0.5%)

Compiler: Compiled 84 to 62 computations (26.2% saved)

analyze15.0ms (0.2%)

sample3.3s (41.1%)

preprocess715.0ms (9%)

eval8.0ms (0.1%)

prune2.0ms (0%)

localize267.0ms (3.4%)

series5.0ms (0.1%)

rewrite434.0ms (5.5%)

simplify204.0ms (2.6%)

eval132.0ms (1.7%)

prune41.0ms (0.5%)

localize205.0ms (2.6%)

series131.0ms (1.7%)

rewrite142.0ms (1.8%)

simplify202.0ms (2.5%)

eval230.0ms (2.9%)

prune79.0ms (1%)

localize359.0ms (4.5%)

series27.0ms (0.3%)

rewrite146.0ms (1.8%)

simplify176.0ms (2.2%)

eval203.0ms (2.6%)

prune65.0ms (0.8%)

localize112.0ms (1.4%)

series10.0ms (0.1%)

rewrite129.0ms (1.6%)

simplify256.0ms (3.2%)

eval257.0ms (3.2%)

prune59.0ms (0.7%)

regimes15.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess39.0ms (0.5%)

Profiling