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)

sample1.1s (26.7%)

Results

1.1s	8256×	body	256	valid
2.0ms	19×	body	256	invalid

Bogosity

preprocess206.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-def`
582×	`associate-+r+`
529×	`*-commutative`
504×	`distribute-lft-out`
474×	`distribute-neg-in`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	161
1	46	157
2	73	157
3	125	157
4	219	157
5	298	157
6	479	157
7	920	157
8	1478	157
9	2420	157
10	4926	157
11	7107	157
12	7965	157

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)

localize64.0ms (1.6%)

Localize:

Found 3 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%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 54 to 30 computations (44.4% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 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	(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	@	inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0ms	x	@	-inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

rewrite227.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`associate-/r*`
478×	`*-commutative`
473×	`associate-/l*`
294×	`distribute-lft-in`
287×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	121
1	202	115
2	2829	115

Stop Event

1×	node limit

Counts

3 → 240

Calls

Call 1

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

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

simplify139.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

436×	`associate-/l*`
380×	`associate-r`
340×	`times-frac`
340×	`associate-l`
322×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	681	17743
1	1969	15972

Stop Event

1×	node limit

Counts

276 → 435

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 -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)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (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)))))
(/.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 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 0)
(+.f64 0 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))) (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2)))) (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))) (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (.f64 1 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2)))) (.f64 1 (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))) (.f64 1 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))))
(+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))) 1) (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1))
(-.f64 (log.f64 (.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (.f64 (log.f64 x) 2))
(-.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2)))) (log.f64 (-.f64 (.f64 (pow.f64 x -2) (-.f64 2 (pow.f64 x 2))) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (-.f64 1 (pow.f64 x 2))))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))) 1)
(-.f64 (+.f64 0 (log.f64 (.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (.f64 (log.f64 x) 2))
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 3)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 x)))
(sqrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 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 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.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))))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -3/32 (pow.f64 x 4) (*.f64 -5/96 (pow.f64 x 6))))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (pow.f64 x 2) (fma.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 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(-.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)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1/6 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1/6 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 (/.f64 1/6 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (/.f64 (/.f64 1/6 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 5)) (.f64 2 (/.f64 1 x)))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(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 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (-.f64 (/.f64 1 x) (/.f64 1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x)) (/.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (sqrt.f64 -1))) (/.f64 -1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.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)))
(+.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))))
(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 (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 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 -1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(-.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 (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 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (/.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 6))) (/.f64 -1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (*.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 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (sqrt.f64 -1)) (/.f64 -1/2 (.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 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.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 (-.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (sqrt.f64 -1)) (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 6))) (/.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 0)
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(+.f64 0 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))) (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(+.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))) (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(.f64 2 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2)))) (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))) (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))) (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(.f64 2 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(+.f64 (.f64 1 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2)))) (.f64 1 (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))) (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))) (.f64 1 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))))
(.f64 2 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))) 1) (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))) (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1))
(.f64 2 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(-.f64 (log.f64 (.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (.f64 (log.f64 x) 2))
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eval248.0ms (6.2%)

Compiler: Compiled 10703 to 8714 computations (18.6% saved)

prune64.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	431	4	435
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	431	5	436

Accuracy

100.0%

Counts

436 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (log.f64 2) (log.f64 x))
▶	100.0%	(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
▶	99.1%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.8%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	98.8%	(-.f64 (log.f64 2) (log.f64 x))
▶	100.0%	(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
▶	99.1%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.8%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 100 to 80 computations (20% saved)

localize162.0ms (4.1%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.7%	(-.f64 (log.f64 2) (log.f64 x))
✓	100.0%	(+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
✓	100.0%	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
✓	100.0%	(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
✓	100.0%	(log.f64 (/.f64 2 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))))

Compiler

Compiled 117 to 91 computations (22.2% saved)

series100.0ms (2.5%)

Counts

7 → 71

Calls

21 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(log.f64 (/.f64 2 x))
22.0ms	x	@	-inf	(-.f64 (log.f64 2) (log.f64 x))
17.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
15.0ms	x	@	0	(-.f64 (log.f64 2) (log.f64 x))
11.0ms	x	@	inf	(-.f64 (log.f64 2) (log.f64 x))

rewrite200.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`associate-/l*`
234×	`associate-+l+`
216×	`+-commutative`
182×	`pow1`
173×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	180
1	418	180
2	5436	180

Stop Event

1×	node limit

Counts

7 → 379

Calls

Call 1

Inputs
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 2) (log.f64 x))

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

simplify165.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

415×	`associate-+l+`
392×	`+-commutative`
360×	`fma-def`
306×	`associate-r`
276×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	789	19681
1	1941	18331

Stop Event

1×	node limit

Counts

450 → 553

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

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/32 (pow.f64 x 4) (*.f64 -1/192 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/192 (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))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (-.f64 (-.f64 (log.f64 x) (/.f64 8 (pow.f64 x 4))) (/.f64 4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 64/3 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 2))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 4 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 4 (pow.f64 x 2))) (/.f64 8 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(/.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 -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))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -3/32)))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (*.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 (pow.f64 x 2) (fma.f64 -3/32 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -5/96))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 (pow.f64 x 6) -5/96 (*.f64 (pow.f64 x 4) -3/32))) (log.f64 (/.f64 2 x)))
(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)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(/.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 (.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 2 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 5)) (.f64 2 (/.f64 1 x)))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 5) -1/16 (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2)) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 4))) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 2 (fma.f64 (pow.f64 x 2) -1/2 (*.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 (pow.f64 x 2) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/16))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 2) (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 1 (fma.f64 x (sqrt.f64 -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 1 (+.f64 (fma.f64 x (sqrt.f64 -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))))
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(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (log.f64 (/.f64 2 x)))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (log.f64 (/.f64 2 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 2))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (+.f64 (log.f64 (cbrt.f64 (/.f64 1 x))) (log.f64 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (+.f64 (log.f64 2) (log.f64 (cbrt.f64 (/.f64 1 x)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (cbrt.f64 (/.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)) (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (.f64 0 (log.f64 x)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x)))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))) (*.f64 0 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (pow.f64 x -1/2)) (+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 2)))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (log.f64 (/.f64 2 x)))
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)) (log.f64 (/.f64 2 x)))
(+.f64 (*.f64 0 (log.f64 x)) (log.f64 (/.f64 2 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (log.f64 (/.f64 2 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (log.f64 (/.f64 2 x)))
(+.f64 (+.f64 (log.f64 2) 0) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (+.f64 (log.f64 2) (log.f64 (cbrt.f64 (pow.f64 x -2)))) (log.f64 (cbrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (+.f64 (log.f64 2) (log.f64 (cbrt.f64 (/.f64 1 x)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (cbrt.f64 (/.f64 1 x)))))
(+.f64 (+.f64 (log.f64 2) (log.f64 (pow.f64 x -1/2))) (log.f64 (pow.f64 x -1/2)))
(log.f64 (/.f64 2 x))
(+.f64 (+.f64 0 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (+.f64 0 (log.f64 2)) (*.f64 (neg.f64 (log.f64 x)) 1))
(log.f64 (/.f64 2 x))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 2 x)))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (-.f64 (log.f64 2) (exp.f64 (log1p.f64 (log.f64 x)))) 1)
(+.f64 1 (-.f64 (log.f64 2) (exp.f64 (log1p.f64 (log.f64 x)))))
(-.f64 (log.f64 2) (expm1.f64 (log1p.f64 (log.f64 x))))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (.f64 2 x))))
(log.f64 (/.f64 2 x))
(.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (log.f64 (.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(log.f64 (/.f64 2 x))
(/.f64 (log.f64 (.f64 2 x)) (/.f64 (log.f64 (.f64 2 x)) (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (log.f64 (.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (log.f64 (.f64 2 x)))) (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (log.f64 (.f64 2 x)))) (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(log.f64 (/.f64 2 x))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (.f64 (log.f64 2) (neg.f64 (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 2) (neg.f64 (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(log.f64 (/.f64 2 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (log.f64 (.f64 2 x))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (/.f64 (log.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (log.f64 (.f64 2 x))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))) (log.f64 (.f64 2 x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (log.f64 (.f64 2 x)))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (log.f64 (*.f64 2 x))))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(.f64 (hypot.f64 (pow.f64 (neg.f64 (log.f64 x)) 3/2) (pow.f64 (log.f64 2) 3/2)) (/.f64 (hypot.f64 (pow.f64 (neg.f64 (log.f64 x)) 3/2) (pow.f64 (log.f64 2) 3/2)) (fma.f64 (log.f64 x) (log.f64 (.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))) (/.f64 (log.f64 (.f64 2 x)) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))) (log.f64 (*.f64 2 x))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (/.f64 (log.f64 (.f64 2 x)) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (log.f64 (*.f64 2 x)))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (/.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(fabs.f64 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log.f64 (+.f64 (/.f64 2 x) 0))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log.f64 (+.f64 (/.f64 2 x) 0))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))

eval207.0ms (5.2%)

Compiler: Compiled 10006 to 7590 computations (24.1% saved)

prune73.0ms (1.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	552	1	553
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	553	5	558

Accuracy

100.0%

Counts

558 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	100.0%	(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.8%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	99.1%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	100.0%	(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.8%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 100 to 80 computations (20% saved)

localize33.0ms (0.8%)

Compiler: Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

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

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	100.0%	(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
✓	99.1%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.8%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 101 to 80 computations (20.8% saved)

regimes19.0ms (0.5%)

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))))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))

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

Calls

3 calls:

8.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	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 80 to 60 computations (25% saved)

regimes14.0ms (0.4%)

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))))
(-.f64 (log.f64 2) (log.f64 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:

4.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	(+.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 67 to 49 computations (26.9% 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))))
(-.f64 (log.f64 2) (log.f64 x))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes232.0ms (5.8%)

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
99.1%	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:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative`
8×	`*-commutative`
5×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	163
1	55	163
2	67	163
3	74	163
4	77	163

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))

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

Compiler

Compiled 50 to 40 computations (20% saved)

soundness698.0ms (17.5%)

Rules

759×	`associate-/r*`
642×	`associate-/l*`
478×	`*-commutative`
473×	`associate-/l*`
436×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	121
1	202	115
2	2829	115
0	681	17743
1	1969	15972
0	27	180
1	418	180
2	5436	180
0	789	19681
1	1941	18331

Stop Event

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

Compiler

Compiled 267 to 212 computations (20.6% saved)

end0.0ms (0%)

preprocess49.0ms (1.2%)

Compiler: Compiled 120 to 92 computations (23.3% saved)

analyze3.0ms (0.1%)

sample1.1s (26.7%)

preprocess206.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize64.0ms (1.6%)

series5.0ms (0.1%)

rewrite227.0ms (5.7%)

simplify139.0ms (3.5%)

eval248.0ms (6.2%)

prune64.0ms (1.6%)

localize162.0ms (4.1%)

series100.0ms (2.5%)

rewrite200.0ms (5%)

simplify165.0ms (4.1%)

eval207.0ms (5.2%)

prune73.0ms (1.8%)

localize33.0ms (0.8%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes19.0ms (0.5%)

regimes14.0ms (0.4%)

regimes5.0ms (0.1%)

regimes232.0ms (5.8%)

regimes3.0ms (0.1%)

simplify6.0ms (0.1%)

soundness698.0ms (17.5%)

end0.0ms (0%)

preprocess49.0ms (1.2%)

Profiling