Metrics for Hyperbolic arc-(co)secant

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
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)

sample973.0ms (18.5%)

Results

960.0ms	8256×	body	256	valid
1.0ms	17×	body	256	invalid

Bogosity

preprocess317.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1424×	`fma-def`
1330×	`*-commutative`
1230×	`sub-neg`
1064×	`distribute-lft-out`
818×	`associate-+r+`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	125
1	42	121
2	62	121
3	112	121
4	159	121
5	238	121
6	360	121
7	578	121
8	1089	121
9	1577	121
10	4038	121
11	5693	121
12	6423	121
13	6721	121
14	6741	121
15	6765	121
16	7019	121
17	7609	121

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))))

Outputs
(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))))
(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))) (neg.f64 x))))

Compiler

Compiled 68 to 40 computations (41.2% saved)

eval0.0ms (0%)

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

prune1.0ms (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)))
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize61.0ms (1.2%)

Localize:

Found 8 expressions with local error:

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

Compiler

Compiled 54 to 30 computations (44.4% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite176.0ms (3.3%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1210×	`flip-+`
1006×	`flip--`
410×	`associate-*r/`
362×	`frac-sub`
266×	`frac-add`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	114
1	68	114
2	553	102
3	5975	102

Stop Event

1×	node limit

Counts

4 → 285

Calls

Call 1

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

Outputs
(-.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(-.f64 (/.f64 0 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 x -1))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 1)
(.f64 (pow.f64 x -1) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (pow.f64 x -1) (pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) -1/2) -1))
(.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 -1 x))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x)) -1)
(.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 x -1)))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(.f64 (.f64 (pow.f64 x -1) (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (pow.f64 (-.f64 1 (.f64 x x)) 1/4))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) (pow.f64 x -1))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -1) (/.f64 -1 x))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) x) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(.f64 (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 x -1/2)) (.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 x -1/2)))
(.f64 (.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) -1/2) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1/2))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(exp.f64 (+.f64 (.f64 1/2 (log1p.f64 (.f64 x (neg.f64 x)))) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 1/2 (log1p.f64 (.f64 x (neg.f64 x))))))
(exp.f64 (.f64 (log.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) -1))
(-.f64 (pow.f64 x -1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(-.f64 (.f64 x (/.f64 (pow.f64 x -2) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 (.f64 (pow.f64 x -2) (-.f64 1 (.f64 x x))) (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (pow.f64 x -2) (-.f64 1 (.f64 x x))) (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) x)) (/.f64 (pow.f64 x -2) (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) x)))
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(.f64 (pow.f64 x -1) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (pow.f64 x -1) (.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (/.f64 1 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)))))
(.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (/.f64 1 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x))))))
(.f64 -1 (.f64 (/.f64 -1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))
(.f64 (.f64 (pow.f64 x -2) (-.f64 (-.f64 1 (.f64 x x)) 1)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) x)))
(.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x) (pow.f64 x -1))
(.f64 (/.f64 -1 x) (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 -1 x) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) -1))
(.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)))) (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (pow.f64 x -1))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (+.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 x -2)))
(.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x (neg.f64 x))))
(.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (/.f64 1 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)))
(.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (/.f64 1 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))))
(.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 1 (*.f64 x (neg.f64 x))))
(.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1) (pow.f64 x -2))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) (pow.f64 x -1))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1) (/.f64 -1 x))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(.f64 (/.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))) (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(.f64 (/.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(.f64 (/.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))) (.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (+.f64 (.f64 (pow.f64 x -2) (+.f64 1 (-.f64 1 (.f64 x x)))) (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -2))))
(.f64 (/.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))) (+.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 x))
(.f64 (/.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))) (-.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))) (.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 x x))
(.f64 (/.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))) (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))) (fma.f64 -1 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 x (neg.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (-.f64 (pow.f64 x -4) (pow.f64 (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)) 2))) (-.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x))))
(.f64 (/.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (+.f64 (pow.f64 x -6) (pow.f64 (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)) 3))) (+.f64 (pow.f64 x -4) (.f64 (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)) (-.f64 (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x)) (pow.f64 x -2)))))
(.f64 (/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x) (neg.f64 x)) -1)
(.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (pow.f64 x -1)) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 1 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 1))
(/.f64 1 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) x) (.f64 (pow.f64 x -2) (-.f64 (-.f64 1 (*.f64 x x)) 1))))
(/.f64 1 (/.f64 (.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 1 (/.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))) (/.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 -1 (neg.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 x x))
(/.f64 (.f64 (pow.f64 x -2) (-.f64 (-.f64 1 (.f64 x x)) 1)) (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 1 (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 x -4) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 4)) (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (.f64 (pow.f64 x -2) (+.f64 1 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) 3)) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(/.f64 (+.f64 (pow.f64 x -9) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 9)) (.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))) (+.f64 (pow.f64 x -6) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 6) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x 6))))))
(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 6)) (.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (+.f64 (pow.f64 x -4) (.f64 (.f64 (pow.f64 x -2) (-.f64 1 (.f64 x x))) (.f64 (pow.f64 x -2) (+.f64 1 (-.f64 1 (.f64 x x))))))))
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(-.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))
(-.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (+.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)))) (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)))))) (+.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x)))) (+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 2 (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) 3) (pow.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 3)) (+.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (+.f64 (.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) 3) (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)))) 3)) (+.f64 (.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (+.f64 (.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)))) (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))) (.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 3) (pow.f64 (.f64 2 (log.f64 x)) 3)) (+.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (+.f64 (.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x))) (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (*.f64 2 (log.f64 x))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (.f64 (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (-.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (.f64 (neg.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (neg.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (-.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (.f64 (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))) (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))))) (-.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (.f64 (neg.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))) (neg.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))))) (-.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (neg.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (.f64 (log.f64 (pow.f64 x -2)) (log.f64 (pow.f64 x -2)))) (-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (log.f64 (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (.f64 (neg.f64 (.f64 2 (log.f64 x))) (neg.f64 (.f64 2 (log.f64 x))))) (-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (neg.f64 (.f64 2 (log.f64 x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 0 (.f64 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (log.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (+.f64 0 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 (-.f64 1 (.f64 x x)) 1))) (log.f64 (.f64 (pow.f64 x -2) (-.f64 (-.f64 1 (.f64 x x)) 1)))) (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) x)) (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) x)))) (+.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 (-.f64 1 (.f64 x x)) 1))) (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) x))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x)) (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 x)))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (+.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))) (.f64 (log.f64 (.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (+.f64 (log.f64 (+.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x))) (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x)))) (.f64 (log.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x))) (log.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (log.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))))) (.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)))) (+.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))) (.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))))) (+.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (.f64 (log.f64 (.f64 x (neg.f64 x))) (log.f64 (.f64 x (neg.f64 x))))) (+.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (.f64 x (neg.f64 x)))))
(neg.f64 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))

Calls

12 calls:

2.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify176.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1166×	`associate-r`
1086×	`associate-l`
1052×	`associate-/l*`
788×	`fma-def`
765×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	839	21587
1	2448	19685

Stop Event

1×	node limit

Counts

333 → 522

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.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 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (.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 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(/.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)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(-.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(+.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 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -5/96 (pow.f64 x 6))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
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(-.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (+.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)))) (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)))))) (+.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x)))) (+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 2 (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) 3) (pow.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 3)) (+.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (+.f64 (.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) 3) (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)))) 3)) (+.f64 (.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (+.f64 (.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)))) (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))) (.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 3) (pow.f64 (.f64 2 (log.f64 x)) 3)) (+.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (+.f64 (.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x))) (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (*.f64 2 (log.f64 x))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (.f64 (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (-.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (.f64 (neg.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (neg.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (-.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (.f64 (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))) (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))))) (-.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (.f64 (neg.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))) (neg.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))))) (-.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (neg.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (.f64 (log.f64 (pow.f64 x -2)) (log.f64 (pow.f64 x -2)))) (-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (log.f64 (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (.f64 (neg.f64 (.f64 2 (log.f64 x))) (neg.f64 (.f64 2 (log.f64 x))))) (-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (neg.f64 (.f64 2 (log.f64 x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 0 (.f64 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (log.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (+.f64 0 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 (-.f64 1 (.f64 x x)) 1))) (log.f64 (.f64 (pow.f64 x -2) (-.f64 (-.f64 1 (.f64 x x)) 1)))) (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) x)) (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) x)))) (+.f64 (log.f64 (.f64 (pow.f64 x -2) (-.f64 (-.f64 1 (.f64 x x)) 1))) (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) x))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x)) (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 x)))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (+.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))) (.f64 (log.f64 (.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (+.f64 (log.f64 (+.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x))) (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x)))) (.f64 (log.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x))) (log.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (log.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))))) (.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)))) (+.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))) (.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))))) (+.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (.f64 (log.f64 (.f64 x (neg.f64 x))) (log.f64 (.f64 x (neg.f64 x))))) (+.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (.f64 x (neg.f64 x)))))
(neg.f64 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(log1p.f64 (expm1.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(.f64 1 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(cbrt.f64 (.f64 (.f64 (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 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(log.f64 (exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(binary32->binary64 (log.f32 (+.f32 (/.f32 1 (binary64->binary32 x)) (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(binary32->binary64 (log.f32 (+.f32 (/.f32 1 (binary64->binary32 x)) (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(binary32->binary64 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(binary32->binary64 (+.f32 (/.f32 1 (binary64->binary32 x)) (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(binary32->binary64 (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.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 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
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(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x))) (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x)))) (.f64 (log.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x))) (log.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x))) (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x)))) (.f64 (log.f64 (.f64 x (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (.f64 x (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (+.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x))) (log.f64 (.f64 x (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (-.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))) (.f64 (log.f64 (.f64 x (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (.f64 x (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (+.f64 (log.f64 (-.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (.f64 x (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (log.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x))))))) (.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)))) (+.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (.f64 x x)))))) (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (neg.f64 (+.f64 0 (.f64 x x))))) (log.f64 (.f64 (pow.f64 x -2) (neg.f64 (+.f64 0 (.f64 x x)))))) (.f64 (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)) (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)))) (+.f64 (log.f64 (.f64 (pow.f64 x -2) (neg.f64 (+.f64 0 (.f64 x x))))) (log.f64 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))))
(/.f64 (fma.f64 (log.f64 (.f64 (.f64 x (neg.f64 x)) (pow.f64 x -2))) (log.f64 (.f64 (.f64 x (neg.f64 x)) (pow.f64 x -2))) (.f64 (log.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (neg.f64 (log.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (+.f64 (log.f64 (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (log.f64 (.f64 (.f64 x (neg.f64 x)) (pow.f64 x -2)))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))) (.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x))))))) (+.f64 (log.f64 (neg.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (pow.f64 x -3) (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (log.f64 (.f64 (pow.f64 x -3) (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))) (.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 x x))))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 x x))))))) (+.f64 (log.f64 (.f64 (pow.f64 x -3) (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (+.f64 (log.f64 (neg.f64 (pow.f64 x -3))) (log1p.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (+.f64 (log.f64 (neg.f64 (pow.f64 x -3))) (log1p.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (.f64 (log.f64 (-.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 x x)))) (log.f64 (-.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 x x)))))) (+.f64 (+.f64 (log.f64 (neg.f64 (pow.f64 x -3))) (log1p.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (log.f64 (-.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (.f64 (log.f64 (.f64 x (neg.f64 x))) (log.f64 (.f64 x (neg.f64 x))))) (+.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (.f64 x (neg.f64 x)))))
(neg.f64 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log1p.f64 (expm1.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 1 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(cbrt.f64 (.f64 (.f64 (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 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(cbrt.f64 (.f64 (log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 x))) (.f64 (log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 x))) (log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))))
(cbrt.f64 (.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) (.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log.f64 (exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(binary32->binary64 (log.f32 (+.f32 (/.f32 1 (binary64->binary32 x)) (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)))))
(binary32->binary64 (log.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)) (/.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(binary32->binary64 (log.f32 (+.f32 (/.f32 1 (binary64->binary32 x)) (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)))))
(binary32->binary64 (log.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)) (/.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(binary32->binary64 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(binary32->binary64 (+.f32 (/.f32 1 (binary64->binary32 x)) (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x))))
(binary32->binary64 (+.f32 (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(binary32->binary64 (/.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)))

eval263.0ms (5%)

Compiler: Compiled 15716 to 10266 computations (34.7% saved)

prune75.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	518	4	522
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	518	5	523

Accuracy

100.0%

Counts

523 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	98.6%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.3%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
▶	99.3%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	98.6%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.3%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
▶	99.3%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 110 to 84 computations (23.6% saved)

localize147.0ms (2.8%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
	100.0%	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
	100.0%	(log.f64 (/.f64 2 x))
	100.0%	(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
	100.0%	(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
	100.0%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
	100.0%	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
	100.0%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	100.0%	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	100.0%	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
✓	100.0%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
✓	100.0%	(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
✓	100.0%	(+.f64 (*.f64 -1/2 x) (/.f64 1 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 129 to 87 computations (32.6% saved)

series53.0ms (1%)

Counts

9 → 90

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(log.f64 (/.f64 2 x))
15.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
8.0ms	x	@	inf	(log.f64 (/.f64 2 x))
1.0ms	x	@	-inf	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
1.0ms	x	@	0	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))

rewrite171.0ms (3.3%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

936×	`associate-*r/`
652×	`associate-*l/`
590×	`associate-r`
570×	`associate-l`
522×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	179
1	124	177
2	1067	177

Stop Event

1×	node limit

Counts

9 → 584

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

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

Calls

28 calls:

1.0ms	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
0.0ms	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
0.0ms	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
0.0ms	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
0.0ms	(+.f64 (*.f64 -1/2 x) (/.f64 1 x))

simplify298.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-r`
1470×	`associate-l`
1144×	`fma-def`
946×	`+-commutative`
457×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1175	38484
1	3335	36996

Stop Event

1×	node limit

Counts

674 → 773

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))))
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(binary32->binary64 (/.f32 (+.f32 1 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x))))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(binary32->binary64 (log.f32 (+.f32 (.f32 -1/2 (binary64->binary32 x)) (.f32 2 (/.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))
(binary32->binary64 (+.f32 (.f32 -1/2 (binary64->binary32 x)) (.f32 2 (/.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))))
(binary32->binary64 (log.f32 (+.f32 (/.f32 1 (binary64->binary32 x)) (+.f32 (*.f32 -1/2 (binary64->binary32 x)) (/.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))))
(binary32->binary64 (+.f32 (/.f32 1 (binary64->binary32 x)) (+.f32 (*.f32 -1/2 (binary64->binary32 x)) (/.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(binary32->binary64 (+.f32 (*.f32 -1/2 (binary64->binary32 x)) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 2 x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 2 x))))
(binary32->binary64 (log.f32 (/.f32 2 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(binary32->binary64 (/.f32 (+.f32 1 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x))))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(binary32->binary64 (log.f32 (/.f32 (+.f32 1 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x))))) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(binary32->binary64 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(binary32->binary64 (+.f32 1 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 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 (.f64 x x)))
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (.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 (.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (.f64 -1/192 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (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 (*.f64 x x))))
(-.f64 (log.f64 (.f64 x -1/2)) (/.f64 4 (.f64 x x)))
(-.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 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (log.f64 (.f64 x -1/2)) (+.f64 (/.f64 4 (.f64 x x)) (/.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 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))))
(-.f64 (-.f64 (log.f64 (.f64 x -1/2)) (/.f64 4 (.f64 x x))) (+.f64 (/.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 (*.f64 x x))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 4 (*.f64 x x)))
(-.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 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.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 (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(-.f64 (-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))
(/.f64 1 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.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 (.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)))
(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 (.f64 x x)))
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (.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 (.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (.f64 -1/192 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (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 (*.f64 x x))))
(-.f64 (log.f64 (.f64 x -1/2)) (/.f64 4 (.f64 x x)))
(-.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 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (log.f64 (.f64 x -1/2)) (+.f64 (/.f64 4 (.f64 x x)) (/.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 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))))
(-.f64 (-.f64 (log.f64 (.f64 x -1/2)) (/.f64 4 (.f64 x x))) (+.f64 (/.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 (*.f64 x x))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 4 (*.f64 x x)))
(-.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 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.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 (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(-.f64 (-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 4 (*.f64 x x))) (+.f64 (/.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)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/8)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/16))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 (pow.f64 x 6) -1/16 (.f64 (pow.f64 x 4) -1/8))))
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 x (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) 1)
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))))
(+.f64 1 (+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) 1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 1 (-.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (fma.f64 x (sqrt.f64 -1) 1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(*.f64 (neg.f64 x) (sqrt.f64 -1))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(+.f64 1 (.f64 -1 (.f64 x (sqrt.f64 -1))))
(+.f64 1 (*.f64 (neg.f64 x) (sqrt.f64 -1)))
(fma.f64 (neg.f64 x) (sqrt.f64 -1) 1)
(-.f64 (+.f64 1 (.f64 -1 (.f64 x (sqrt.f64 -1)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 1 (.f64 (neg.f64 x) (sqrt.f64 -1))) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(-.f64 (fma.f64 (neg.f64 x) (sqrt.f64 -1) 1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 1 (-.f64 (fma.f64 -1 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.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 (.f64 x x)))
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)))
(+.f64 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)) (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 -3/32 (pow.f64 x 4)) (.f64 -5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (.f64 (pow.f64 x 6) -5/96))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (fma.f64 (pow.f64 x 4) -3/32 (.f64 (pow.f64 x 6) -5/96))) (log.f64 (/.f64 2 x)))
(log.f64 (sqrt.f64 -1))
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(.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) x) (+.f64 1 (pow.f64 (-.f64 1 (+.f64 (.f64 x x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 3))) (+.f64 1 (-.f64 (.f64 (-.f64 1 (+.f64 (.f64 x x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (-.f64 1 (+.f64 (.f64 x x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (-.f64 1 (+.f64 (.f64 x x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))))
(.f64 (+.f64 1 (+.f64 (-.f64 (.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) 1) (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (*.f64 (+.f64 1 (pow.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 3)) x)))
(/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) x) (+.f64 (fma.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1) (+.f64 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1))) (+.f64 1 (pow.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 3)))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1)
(/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (neg.f64 x))
(/.f64 (-.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(cbrt.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(exp.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(binary32->binary64 (/.f32 (+.f32 1 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x))))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(binary32->binary64 (binary64->binary32 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))))
(binary32->binary64 (binary64->binary32 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(binary32->binary64 (log.f32 (+.f32 (.f32 -1/2 (binary64->binary32 x)) (.f32 2 (/.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (log.f32 (fma.f32 -1/2 (binary64->binary32 x) (/.f32 2 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x -1/2 (/.f64 2 x))))
(binary32->binary64 (binary64->binary32 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 x -1/2 (/.f64 2 x))))
(binary32->binary64 (+.f32 (.f32 -1/2 (binary64->binary32 x)) (.f32 2 (/.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 -1/2 (binary64->binary32 x) (/.f32 2 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x))))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))))
(binary32->binary64 (binary64->binary32 (log.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x))))))
(binary32->binary64 (log.f32 (+.f32 (/.f32 1 (binary64->binary32 x)) (+.f32 (*.f32 -1/2 (binary64->binary32 x)) (/.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (log.f32 (+.f32 (/.f32 1 (binary64->binary32 x)) (fma.f32 -1/2 (binary64->binary32 x) (/.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x)))))
(binary32->binary64 (+.f32 (/.f32 1 (binary64->binary32 x)) (+.f32 (*.f32 -1/2 (binary64->binary32 x)) (/.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (+.f32 (/.f32 1 (binary64->binary32 x)) (fma.f32 -1/2 (binary64->binary32 x) (/.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (fma.f64 x -1/2 (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (fma.f64 x -1/2 (/.f64 1 x))))
(binary32->binary64 (+.f32 (*.f32 -1/2 (binary64->binary32 x)) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (fma.f32 -1/2 (binary64->binary32 x) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 2 x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 2 x))))
(binary32->binary64 (log.f32 (/.f32 2 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(binary32->binary64 (/.f32 (+.f32 1 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x))))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(binary32->binary64 (binary64->binary32 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(binary32->binary64 (log.f32 (/.f32 (+.f32 1 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x))))) (binary64->binary32 x))))
(binary32->binary64 (-.f32 (log1p.f32 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x))))) (log.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(binary32->binary64 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(binary32->binary64 (+.f32 1 (sqrt.f32 (-.f32 1 (*.f32 (binary64->binary32 x) (binary64->binary32 x))))))

eval785.0ms (15%)

Compiler: Compiled 21027 to 15224 computations (27.6% saved)

prune202.0ms (3.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	854	2	856
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	855	6	861

Accuracy

100.0%

Counts

861 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(neg.f64 (log.f64 (*.f64 x 1/2)))
▶	99.3%	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	98.6%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.3%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	98.6%	(neg.f64 (log.f64 (*.f64 x 1/2)))
▶	99.3%	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	98.6%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.3%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 118 to 90 computations (23.7% saved)

localize71.0ms (1.4%)

Localize:

Found 6 expressions with local error:

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

Compiler

Compiled 53 to 32 computations (39.6% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite197.0ms (3.7%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1392×	`associate-/r*`
942×	`*-commutative`
876×	`fma-neg`
594×	`cube-prod`
594×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	42	59
2	287	59
3	2597	59

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 0)
(+.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(+.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (log.f64 (.f64 (pow.f64 x -1) (/.f64 1 (fma.f64 x (*.f64 x 1/2) 2)))))
(+.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (log.f64 (/.f64 (pow.f64 x -1) (fma.f64 x (.f64 x 1/2) 2))))
(+.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (neg.f64 (log.f64 (.f64 x (fma.f64 x (*.f64 x 1/2) 2)))))
(+.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (+.f64 (neg.f64 (log.f64 (fma.f64 x (.f64 x 1/2) 2))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (-.f64 (neg.f64 (log.f64 (fma.f64 x (.f64 x 1/2) 2))) (log.f64 x)))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (log.f64 (.f64 (pow.f64 x -1) (/.f64 1 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (log.f64 (/.f64 1 (.f64 x (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (neg.f64 (log.f64 (.f64 x (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (+.f64 (neg.f64 (log.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (-.f64 (neg.f64 (log.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))) (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(+.f64 (log.f64 (fma.f64 x (*.f64 x 1/2) -2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -2) x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x 1/2) -2)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (fma.f64 x (*.f64 x 1/2) -2)))
(+.f64 (log.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x)) (neg.f64 (log.f64 (fma.f64 x (.f64 x 1/2) 2))))
(+.f64 (log.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x)) (neg.f64 (log.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (log.f64 (.f64 x (fma.f64 -1/2 (.f64 x x) 2)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 3) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (.f64 (log.f64 x) (log.f64 (.f64 x (fma.f64 -1/2 (.f64 x x) 2)))))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (.f64 (log.f64 x) (log.f64 (.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))))))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (-.f64 4 (.f64 1/4 (pow.f64 x 4))))) (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (+.f64 8 (.f64 (pow.f64 x 6) 1/8)))) (log.f64 (-.f64 (+.f64 4 (.f64 1/4 (pow.f64 x 4))) (.f64 x x))))
(+.f64 (log.f64 (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (-.f64 16 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) 2)))) (log.f64 (-.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))
(+.f64 (log.f64 (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (+.f64 64 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) 3)))) (log.f64 (+.f64 16 (.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) (+.f64 (.f64 x x) (fma.f64 1/4 (pow.f64 x 4) -4))))))
(+.f64 (log.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 (.f64 x x) 2)) -1/2)) (log.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 (.f64 x x) 2)) -1/2)))
(+.f64 (+.f64 0 (log.f64 (fma.f64 x (*.f64 x 1/2) -2))) (log.f64 (/.f64 -1 x)))
(+.f64 (-.f64 (log.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x)) (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))))) (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
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(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 3) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (.f64 (log.f64 x) (log.f64 (.f64 x (fma.f64 -1/2 (.f64 x x) 2)))))) (/.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 3) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (.f64 (log.f64 x) (log.f64 (.f64 x (fma.f64 -1/2 (.f64 x x) 2))))))) (.f64 (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (.f64 (log.f64 x) (log.f64 (.f64 x (fma.f64 -1/2 (.f64 x x) 2)))))) (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (.f64 (log.f64 x) (log.f64 (.f64 x (fma.f64 -1/2 (.f64 x x) 2)))))))) (+.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 3) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (.f64 (log.f64 x) (log.f64 (.f64 x (fma.f64 -1/2 (.f64 x x) 2)))))) (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (.f64 (log.f64 x) (log.f64 (.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))))))
(neg.f64 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(-.f64 0 (.f64 x (.f64 x 1/2)))
(pow.f64 (.f64 -1/2 (.f64 x x)) 1)
(neg.f64 (.f64 x (.f64 x 1/2)))
(+.f64 0 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(+.f64 (.f64 2 (pow.f64 x -1)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 x -1)))
(+.f64 (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 x -1)) (.f64 2 (pow.f64 x -1)))
(+.f64 (/.f64 (/.f64 -4 (fma.f64 -1/2 (.f64 x x) -2)) x) (neg.f64 (/.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 x (fma.f64 x (.f64 x 1/2) 2)))))
(+.f64 (-.f64 0 (/.f64 (/.f64 -4 (fma.f64 -1/2 (.f64 x x) -2)) (neg.f64 x))) (/.f64 (/.f64 (.f64 1/4 (pow.f64 x 4)) (fma.f64 x (*.f64 x 1/2) 2)) (neg.f64 x)))
(-.f64 0 (/.f64 (fma.f64 x (*.f64 x 1/2) -2) x))
(-.f64 (/.f64 (/.f64 -4 (fma.f64 -1/2 (.f64 x x) -2)) x) (/.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 x (fma.f64 x (.f64 x 1/2) 2))))
(.f64 (fma.f64 -1/2 (.f64 x x) 2) (pow.f64 x -1))
(.f64 (fma.f64 -1/2 (.f64 x x) 2) (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (-.f64 4 (.f64 1/4 (pow.f64 x 4)))))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 x x) 2) x) 1)
(.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) (.f64 (pow.f64 x -1) (/.f64 1 (fma.f64 x (.f64 x 1/2) 2))))
(.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) (/.f64 (pow.f64 x -1) (fma.f64 x (*.f64 x 1/2) 2)))
(.f64 1 (/.f64 (fma.f64 -1/2 (.f64 x x) 2) x))
(.f64 (pow.f64 x -1) (fma.f64 -1/2 (.f64 x x) 2))
(.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) (.f64 (pow.f64 x -1) (/.f64 1 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))))
(.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) (/.f64 1 (.f64 x (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))))
(.f64 (fma.f64 x (.f64 x 1/2) -2) (/.f64 -1 x))
(.f64 (-.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x))) (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (-.f64 16 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x)) 2))))
(.f64 -1 (/.f64 (fma.f64 x (.f64 x 1/2) -2) x))
(.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (/.f64 1 (fma.f64 x (*.f64 x 1/2) 2)))
(.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (/.f64 1 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 1/2) 2)) (/.f64 (-.f64 4 (*.f64 1/4 (pow.f64 x 4))) x))
(.f64 (/.f64 1 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))) (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x))
(.f64 (/.f64 -1 x) (fma.f64 x (.f64 x 1/2) -2))
(.f64 (+.f64 16 (.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) (+.f64 (.f64 x x) (fma.f64 1/4 (pow.f64 x 4) -4)))) (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (+.f64 64 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x)) 3))))
(.f64 (-.f64 (+.f64 4 (.f64 1/4 (pow.f64 x 4))) (.f64 x x)) (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (+.f64 8 (*.f64 (pow.f64 x 6) 1/8))))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) -2) x) -1)
(.f64 (.f64 (pow.f64 x -1) (/.f64 1 (fma.f64 x (.f64 x 1/2) 2))) (-.f64 4 (.f64 1/4 (pow.f64 x 4))))
(.f64 (.f64 (pow.f64 x -1) (/.f64 1 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))) (fma.f64 -1/8 (pow.f64 x 6) 8))
(.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (fma.f64 -1/2 (.f64 x x) 2))
(.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (+.f64 8 (.f64 (pow.f64 x 6) 1/8))) (-.f64 (+.f64 4 (.f64 1/4 (pow.f64 x 4))) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (-.f64 16 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) 2))) (-.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))
(.f64 (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (+.f64 64 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) 3))) (+.f64 16 (.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) (+.f64 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 4) -4)))))
(.f64 (/.f64 (pow.f64 x -1) (fma.f64 x (.f64 x 1/2) 2)) (-.f64 4 (*.f64 1/4 (pow.f64 x 4))))
(.f64 (/.f64 1 (.f64 x (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))) (fma.f64 -1/8 (pow.f64 x 6) 8))
(.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 (.f64 x x) 2)) -1/2) (pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -1/2))
(pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -1)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -2) x))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))

Calls

9 calls:

1.0ms	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
0.0ms	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
0.0ms	(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
0.0ms	(.f64 -1/2 (.f64 x x))
0.0ms	(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)

simplify174.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

958×	`associate-*r/`
777×	`sub-neg`
708×	`associate-+l-`
628×	`associate--r+`
618×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	582	12521
1	1455	11717
2	4901	11311

Stop Event

1×	node limit

Counts

239 → 323

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 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(/.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 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 0)
(+.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(+.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (log.f64 (.f64 (pow.f64 x -1) (/.f64 1 (fma.f64 x (*.f64 x 1/2) 2)))))
(+.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (log.f64 (/.f64 (pow.f64 x -1) (fma.f64 x (.f64 x 1/2) 2))))
(+.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (neg.f64 (log.f64 (.f64 x (fma.f64 x (*.f64 x 1/2) 2)))))
(+.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (+.f64 (neg.f64 (log.f64 (fma.f64 x (.f64 x 1/2) 2))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (-.f64 (neg.f64 (log.f64 (fma.f64 x (.f64 x 1/2) 2))) (log.f64 x)))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (log.f64 (.f64 (pow.f64 x -1) (/.f64 1 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (log.f64 (/.f64 1 (.f64 x (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (neg.f64 (log.f64 (.f64 x (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (+.f64 (neg.f64 (log.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (-.f64 (neg.f64 (log.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))) (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(+.f64 (log.f64 (fma.f64 x (*.f64 x 1/2) -2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -2) x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x 1/2) -2)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (fma.f64 x (*.f64 x 1/2) -2)))
(+.f64 (log.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x)) (neg.f64 (log.f64 (fma.f64 x (.f64 x 1/2) 2))))
(+.f64 (log.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x)) (neg.f64 (log.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (log.f64 (.f64 x (fma.f64 -1/2 (.f64 x x) 2)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 3) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (.f64 (log.f64 x) (log.f64 (.f64 x (fma.f64 -1/2 (.f64 x x) 2)))))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) 2)) 2) (.f64 (log.f64 x) (log.f64 (.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))))))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (-.f64 4 (.f64 1/4 (pow.f64 x 4))))) (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (+.f64 8 (.f64 (pow.f64 x 6) 1/8)))) (log.f64 (-.f64 (+.f64 4 (.f64 1/4 (pow.f64 x 4))) (.f64 x x))))
(+.f64 (log.f64 (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (-.f64 16 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) 2)))) (log.f64 (-.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))
(+.f64 (log.f64 (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (+.f64 64 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) 3)))) (log.f64 (+.f64 16 (.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) (+.f64 (.f64 x x) (fma.f64 1/4 (pow.f64 x 4) -4))))))
(+.f64 (log.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 (.f64 x x) 2)) -1/2)) (log.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 (.f64 x x) 2)) -1/2)))
(+.f64 (+.f64 0 (log.f64 (fma.f64 x (*.f64 x 1/2) -2))) (log.f64 (/.f64 -1 x)))
(+.f64 (-.f64 (log.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x)) (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))))) (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(+.f64 (-.f64 (log.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x)) (log.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/8)))) (log.f64 (-.f64 (+.f64 4 (.f64 1/4 (pow.f64 x 4))) (.f64 x x))))
(+.f64 (-.f64 (log.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x)) (log.f64 (-.f64 16 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) 2)))) (log.f64 (-.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))
(+.f64 (-.f64 (log.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x)) (log.f64 (+.f64 64 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) 3)))) (log.f64 (+.f64 16 (.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) (+.f64 (.f64 x x) (fma.f64 1/4 (pow.f64 x 4) -4))))))
(-.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 x))
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))))
(-.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (log.f64 (.f64 x (fma.f64 x (*.f64 x 1/2) 2))))
(-.f64 (log.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (log.f64 (/.f64 x (/.f64 1 (fma.f64 x (.f64 x 1/2) 2)))))
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(.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) (sqrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x))))
(pow.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) 1)
(.f64 1 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x)))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) (cbrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))) (cbrt.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(log.f64 (exp.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(binary32->binary64 (log.f32 (/.f32 (+.f32 2 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x))))
(-.f64 0 (.f64 x (.f64 x 1/2)))
(pow.f64 (.f64 -1/2 (.f64 x x)) 1)
(neg.f64 (.f64 x (.f64 x 1/2)))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 x x))))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(.f64 (sqrt.f64 (.f64 -1/2 (.f64 x x))) (sqrt.f64 (.f64 -1/2 (*.f64 x x))))
(pow.f64 (.f64 -1/2 (.f64 x x)) 1)
(.f64 1 (.f64 -1/2 (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (.f64 -1/2 (.f64 x x)))) (cbrt.f64 (.f64 -1/2 (.f64 x x))))
(cbrt.f64 (.f64 (.f64 (.f64 -1/2 (.f64 x x)) (.f64 -1/2 (.f64 x x))) (.f64 -1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 x x))))
(log.f64 (exp.f64 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x))))
(+.f64 0 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(+.f64 (.f64 2 (pow.f64 x -1)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 x -1)))
(+.f64 (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 x -1)) (.f64 2 (pow.f64 x -1)))
(+.f64 (/.f64 (/.f64 -4 (fma.f64 -1/2 (.f64 x x) -2)) x) (neg.f64 (/.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 x (fma.f64 x (.f64 x 1/2) 2)))))
(+.f64 (-.f64 0 (/.f64 (/.f64 -4 (fma.f64 -1/2 (.f64 x x) -2)) (neg.f64 x))) (/.f64 (/.f64 (.f64 1/4 (pow.f64 x 4)) (fma.f64 x (*.f64 x 1/2) 2)) (neg.f64 x)))
(-.f64 0 (/.f64 (fma.f64 x (*.f64 x 1/2) -2) x))
(-.f64 (/.f64 (/.f64 -4 (fma.f64 -1/2 (.f64 x x) -2)) x) (/.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 x (fma.f64 x (.f64 x 1/2) 2))))
(.f64 (fma.f64 -1/2 (.f64 x x) 2) (pow.f64 x -1))
(.f64 (fma.f64 -1/2 (.f64 x x) 2) (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (-.f64 4 (.f64 1/4 (pow.f64 x 4)))))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 x x) 2) x) 1)
(.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) (.f64 (pow.f64 x -1) (/.f64 1 (fma.f64 x (.f64 x 1/2) 2))))
(.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) (/.f64 (pow.f64 x -1) (fma.f64 x (*.f64 x 1/2) 2)))
(.f64 1 (/.f64 (fma.f64 -1/2 (.f64 x x) 2) x))
(.f64 (pow.f64 x -1) (fma.f64 -1/2 (.f64 x x) 2))
(.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) (.f64 (pow.f64 x -1) (/.f64 1 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))))
(.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) (/.f64 1 (.f64 x (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))))
(.f64 (fma.f64 x (.f64 x 1/2) -2) (/.f64 -1 x))
(.f64 (-.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x))) (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (-.f64 16 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x)) 2))))
(.f64 -1 (/.f64 (fma.f64 x (.f64 x 1/2) -2) x))
(.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (/.f64 1 (fma.f64 x (*.f64 x 1/2) 2)))
(.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (/.f64 1 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 1/2) 2)) (/.f64 (-.f64 4 (*.f64 1/4 (pow.f64 x 4))) x))
(.f64 (/.f64 1 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)))) (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x))
(.f64 (/.f64 -1 x) (fma.f64 x (.f64 x 1/2) -2))
(.f64 (+.f64 16 (.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) (+.f64 (.f64 x x) (fma.f64 1/4 (pow.f64 x 4) -4)))) (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (+.f64 64 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x)) 3))))
(.f64 (-.f64 (+.f64 4 (.f64 1/4 (pow.f64 x 4))) (.f64 x x)) (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (+.f64 8 (*.f64 (pow.f64 x 6) 1/8))))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) -2) x) -1)
(.f64 (.f64 (pow.f64 x -1) (/.f64 1 (fma.f64 x (.f64 x 1/2) 2))) (-.f64 4 (.f64 1/4 (pow.f64 x 4))))
(.f64 (.f64 (pow.f64 x -1) (/.f64 1 (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))) (fma.f64 -1/8 (pow.f64 x 6) 8))
(.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (fma.f64 -1/2 (.f64 x x) 2))
(.f64 (/.f64 (/.f64 (-.f64 4 (.f64 1/4 (pow.f64 x 4))) x) (+.f64 8 (.f64 (pow.f64 x 6) 1/8))) (-.f64 (+.f64 4 (.f64 1/4 (pow.f64 x 4))) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (-.f64 16 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) 2))) (-.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))
(.f64 (/.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) x) (+.f64 64 (pow.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) 3))) (+.f64 16 (.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 x x)) (+.f64 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 4) -4)))))
(.f64 (/.f64 (pow.f64 x -1) (fma.f64 x (.f64 x 1/2) 2)) (-.f64 4 (*.f64 1/4 (pow.f64 x 4))))
(.f64 (/.f64 1 (.f64 x (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x x))))) (fma.f64 -1/8 (pow.f64 x 6) 8))
(.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 (.f64 x x) 2)) -1/2) (pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -1/2))
(pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -1)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -2) x))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x)))
(pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 1)
(.f64 1 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(binary32->binary64 (/.f32 (+.f32 2 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(binary32->binary64 (/.f32 (+.f32 2 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(binary32->binary64 (log.f32 (/.f32 (+.f32 2 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x))))

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 (.f64 x x))))
(+.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 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 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (-.f64 (log.f64 2) (log.f64 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 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 6) (.f64 -1/32 (pow.f64 x 4)))) (-.f64 (log.f64 2) (log.f64 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))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(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 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (/.f64 (/.f64 4 x) x)))
(+.f64 (log.f64 (*.f64 x -1/2)) (/.f64 (/.f64 -4 x) x))
(-.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 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (log.f64 (*.f64 x -1/2)) (-.f64 (/.f64 (/.f64 4 x) x) (/.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 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))
(-.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (/.f64 (/.f64 4 x) x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))
(+.f64 (log.f64 (*.f64 x -1/2)) (-.f64 (-.f64 (/.f64 (/.f64 -4 x) x) (/.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))))
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(-.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 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 -4 x) x))
(-.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 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 (/.f64 -4 x) x) (/.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 (*.f64 x x)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))
(-.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x))) (+.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 (/.f64 (/.f64 -4 x) x) (/.f64 8 (pow.f64 x 4))) (/.f64 64/3 (pow.f64 x 6))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(/.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 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 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 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 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.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 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 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 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.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 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 0)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
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(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -1)
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -2) x))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (sqrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) 1)
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 1 (/.f64 (+.f64 2 (.f64 -1/2 (*.f64 x x))) x))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))) (cbrt.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x) (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)) (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (*.f64 x -1/2) x 2) x)))
(binary32->binary64 (binary64->binary32 (fma.f64 x -1/2 (/.f64 2 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (*.f64 x -1/2) x 2) x)))
(binary32->binary64 (binary64->binary32 (fma.f64 x -1/2 (/.f64 2 x))))
(binary32->binary64 (/.f32 (+.f32 2 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)))
(binary32->binary64 (/.f32 (fma.f32 -1/2 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) 2) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (*.f64 x -1/2) x 2) x)))
(binary32->binary64 (binary64->binary32 (fma.f64 x -1/2 (/.f64 2 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (*.f64 x -1/2) x 2) x)))
(binary32->binary64 (binary64->binary32 (fma.f64 x -1/2 (/.f64 2 x))))
(binary32->binary64 (/.f32 (+.f32 2 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x)))
(binary32->binary64 (/.f32 (fma.f32 -1/2 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) 2) (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 x (.f64 x -1/2))))
(binary32->binary64 (binary64->binary32 (.f64 -1/2 (.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 x (.f64 x -1/2))))
(binary32->binary64 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (fma.f64 (*.f64 x -1/2) x 2) x))))
(binary32->binary64 (binary64->binary32 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (fma.f64 (*.f64 x -1/2) x 2) x))))
(binary32->binary64 (binary64->binary32 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(binary32->binary64 (log.f32 (/.f32 (+.f32 2 (.f32 -1/2 (.f32 (binary64->binary32 x) (binary64->binary32 x)))) (binary64->binary32 x))))
(binary32->binary64 (log.f32 (/.f32 (fma.f32 -1/2 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) 2) (binary64->binary32 x))))

eval166.0ms (3.2%)

Compiler: Compiled 7995 to 5646 computations (29.4% saved)

prune41.0ms (0.8%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	323	6	329

Accuracy

100.0%

Counts

329 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.3%	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	98.6%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.3%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 125 to 92 computations (26.4% saved)

regimes17.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

6.0ms	(+.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)))
4.0ms	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 95 to 67 computations (29.5% saved)

regimes5.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 55 to 40 computations (27.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 32 to 24 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))

Outputs
(neg.f64 (log.f64 (*.f64 x 1/2)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
14×	`*-commutative`
8×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	162
1	51	162
2	60	162
3	65	162
4	67	162

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

Compiler

Compiled 61 to 47 computations (23% saved)

soundness784.0ms (15%)

Rules

1484×	`associate-r`
1470×	`associate-l`
1210×	`flip-+`
1166×	`associate-r`
1144×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	179
1	124	177
2	1067	177
0	1175	38484
1	3335	36996
0	12	114
1	68	114
2	553	102
3	5975	102
0	839	21587
1	2448	19685

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 417 to 297 computations (28.8% saved)

end0.0ms (0%)

preprocess54.0ms (1%)

Compiler: Compiled 140 to 102 computations (27.1% saved)

analyze3.0ms (0.1%)

sample973.0ms (18.5%)

preprocess317.0ms (6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize61.0ms (1.2%)

series5.0ms (0.1%)

rewrite176.0ms (3.3%)

simplify176.0ms (3.4%)

eval263.0ms (5%)

prune75.0ms (1.4%)

localize147.0ms (2.8%)

series53.0ms (1%)

rewrite171.0ms (3.3%)

simplify298.0ms (5.7%)

eval785.0ms (15%)

prune202.0ms (3.8%)

localize71.0ms (1.4%)

series3.0ms (0.1%)

rewrite197.0ms (3.7%)

simplify174.0ms (3.3%)

eval166.0ms (3.2%)

prune41.0ms (0.8%)

regimes17.0ms (0.3%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify11.0ms (0.2%)

soundness784.0ms (15%)

end0.0ms (0%)

preprocess54.0ms (1%)

Profiling