Details

analyze6.0ms (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)

sample1.4s (17.4%)

Results

1.4s	8256×	body	256	valid
11.0ms	22×	body	256	invalid

Bogosity

preprocess325.0ms (4%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify105.0ms (1.3%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

eval1.0ms (0%)

Compiler: Compiled 25 to 18 computations (28% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
▶	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 26 to 19 computations (26.9% saved)

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	0.0b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓	0.0b	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 53 to 29 computations (45.3% saved)

series97.0ms (1.2%)

Counts

4 → 12

Calls

12 calls:

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

Compiler

Compiled 4990 to 4515 computations (9.5% saved)

rewrite212.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

147×	`egg-rr`
71×	`egg-rr`
38×	`egg-rr`
19×	`egg-rr`

Counts

4 → 275

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)
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (.f64 x 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1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (/.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 1 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (/.f64 1 (/.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 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(neg.f64 (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (.f64 2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (/.f64 2 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))

simplify767.0ms (9.4%)

Algorithm

1×

egglog

Counts

287 → 333

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(if (!=.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 0) (/.f64 1 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) -1)) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2))
(.f64 (.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) -1) -1)
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 2))))
(.f64 -1 (.f64 -1 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))))
(*.f64 1 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))
(*.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 1)
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) 2))
(/.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 3) 1/3)
(pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 1)
(neg.f64 (*.f64 -1 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) -1))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 3))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(fma.f64 1 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (/.f64 1 x) (/.f64 1 x))
(fma.f64 -1 (/.f64 -1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (cbrt.f64 (*.f64 x x))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) x) (/.f64 1 x))
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(if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) 0) (/.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 1 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(-.f64 0 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(*.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) -1))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1) (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) -1) (/.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1))
(*.f64 (/.f64 1 -1) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1) (/.f64 1 -1))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(/.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1) -1)
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(pow.f64 (neg.f64 (fma.f64 x x -1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (/.f64 2 2))
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)
(neg.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))
(fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(if (!=.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 0) (/.f64 1 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) -1)) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))
(if (!=.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 0) (pow.f64 (/.f64 1 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))) -1) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 2)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(.f64 (.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) -1) -1)
(neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 2))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(.f64 -1 (.f64 -1 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(*.f64 1 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(*.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 1)
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) 2))
(.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 2) 2)))
(/.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 1)
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))) 3)
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 3) 1/3)
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 1)
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(neg.f64 (*.f64 -1 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) -1))
(neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)) 3))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 1 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (/.f64 1 x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 -1 (/.f64 -1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (cbrt.f64 (*.f64 x x))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 1 (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 -1 x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (cbrt.f64 x)) (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(fma.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 (/.f64 1 x) (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(fma.f64 (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (*.f64 x x))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2) (/.f64 (-.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (*.f64 x x)))) (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(if (!=.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 0) (/.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2) (/.f64 (-.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (*.f64 x x)))) (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(if (!=.f64 (/.f64 (-.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1) (*.f64 x x)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x)) (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(if (!=.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1) (*.f64 x x)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x)) (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2) (/.f64 (-.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 x x))) 0) (/.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2) (/.f64 (-.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 x x)))) (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(if (!=.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) 2) 0) (/.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) 2))) (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
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(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) -1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1) (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) -1) (/.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (/.f64 1 -1) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1) (/.f64 1 -1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(/.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1) -1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (neg.f64 (fma.f64 x x -1)) 1/2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 1/3)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (*.f64 2 1/2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (/.f64 2 2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(neg.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
✓	0.0b	(/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
✓	0.0b	(+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))

Compiler

Compiled 48 to 33 computations (31.3% saved)

series52.0ms (0.6%)

Counts

4 → 12

Calls

12 calls:

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

Compiler

Compiled 4560 to 4095 computations (10.2% saved)

rewrite212.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

159×	`egg-rr`
102×	`egg-rr`
31×	`egg-rr`
17×	`egg-rr`

Counts

4 → 309

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (sqrt.f64 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simplify604.0ms (7.4%)

Algorithm

1×

egglog

Counts

321 → 404

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(if (!=.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 0) (/.f64 1 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) -1)) (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))
(*.f64 -1 (neg.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))))
(*.f64 (neg.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))) -1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2) 2) (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 2)) (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))))
(*.f64 1 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))
(*.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 1)
(/.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 3) 1/3)
(pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 1)
(neg.f64 (neg.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 3))
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(fma.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) 1)
(fma.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(fma.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)
(fma.f64 -1 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fma.f64 1 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fma.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1 1)
(if (!=.f64 1 0) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (-.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) 0) (/.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (/.f64 1 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 -1 (/.f64 1 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) 0) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2)) (/.f64 1 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
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(if (!=.f64 (/.f64 1 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)) 0) (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)) (/.f64 1 (/.f64 1 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) 0) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)) 0) (/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1) (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))) 2) 0) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))) (/.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))) 2))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (+.f64 1 (+.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (-.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) 0) (.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)) (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 3))) (+.f64 1 (+.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (-.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2)) 0) (/.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2)))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1) 0) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1)
(-.f64 0 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
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(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 3))
(if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(*.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 1))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) -1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) -1))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(pow.f64 (neg.f64 (fma.f64 x x -1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (/.f64 2 2))
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))
(fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 (.f64 x x) -1/2))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(if (!=.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 0) (/.f64 1 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) -1)) (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))
(if (!=.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 0) (pow.f64 (/.f64 1 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))) -1) (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))
(*.f64 -1 (neg.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))))
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(*.f64 (neg.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))) -1)
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 2) (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2) 2) (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))) 2) 2)) (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 2)))
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 2)) (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))))
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(*.f64 1 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)))
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(*.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 1)
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(/.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 1)
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))) 3)
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(pow.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 3) 1/3)
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 1)
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(neg.f64 (neg.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))))
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 3))
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(log.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(fma.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) 1)
(+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fma.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)
(+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fma.f64 -1 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fma.f64 1 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fma.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)
(+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)
(+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 1)
(+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1 1)
(+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 1 0) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (-.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) 0) (/.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (/.f64 1 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) 0) (neg.f64 (/.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (/.f64 1 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 -1 (/.f64 1 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) 0) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2)) (/.f64 1 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) 0) (/.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2))) (/.f64 1 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 0) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (/.f64 1 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)) 0) (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)) (/.f64 1 (/.f64 1 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1)))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(if (!=.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) 0) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
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(.f64 (/.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1) (.f64 x (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 1))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 3) 1/3)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) 3)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(pow.f64 (/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) -1)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 1)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1) x)
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 3))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (pow.f64 (/.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) -1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) -1))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (.f64 -1 -1))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (neg.f64 (fma.f64 x x -1)) 1/2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 1/3)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (*.f64 2 1/2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (/.f64 2 2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(neg.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))

eval345.0ms (4.2%)

Compiler: Compiled 18577 to 13510 computations (27.3% saved)

prune128.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	734	3	737
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	734	5	739

Error

Counts

739 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(log.f64 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/2)) x))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
▶	0.7b	(log.f64 (/.f64 2 x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	34.8b	(log.f64 (.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (/.f64 1 (.f64 x x))))

Compiler

Compiled 59 to 42 computations (28.8% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)
✓	0.0b	(log.f64 (.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (/.f64 1 (.f64 x x))))
✓	0.1b	(/.f64 1 (*.f64 x x))
✓	32.5b	(.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (/.f64 1 (.f64 x x)))

Compiler

Compiled 67 to 37 computations (44.8% saved)

series37.0ms (0.5%)

Counts

4 → 20

Calls

12 calls:

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

Compiler

Compiled 3720 to 3295 computations (11.4% saved)

rewrite134.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

110×	`egg-rr`
67×	`egg-rr`
55×	`egg-rr`
17×	`egg-rr`

Counts

4 → 249

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 1 (.f64 x x)) (/.f64 x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (.f64 x x)) (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 0) (/.f64 1 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) 0) (/.f64 -1 (/.f64 (.f64 x x) (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) 0) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 0) (/.f64 (/.f64 1 x) (/.f64 x (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 1 x) 0) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (/.f64 x (/.f64 1 x))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 0) (/.f64 -1 (/.f64 (neg.f64 (.f64 x x)) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (.f64 x x))) 0) (/.f64 (-.f64 (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)))) (-.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (.f64 x x)))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x))) (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (.f64 x x))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 (/.f64 x (.f64 x x)) 3)) (+.f64 (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x))) (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x 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(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 3))))))

simplify357.0ms (4.4%)

Algorithm

1×

egglog

Counts

269 → 315

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -1/2 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
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(if (!=.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (.f64 x (-.f64 x (*.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (.f64 (*.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (.f64 x (-.f64 x (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(if (!=.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(if (!=.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 0) (/.f64 1 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) -1)) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(if (!=.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (neg.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (.f64 x x)) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (neg.f64 x))) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(+.f64 (*.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(+.f64 x (*.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))
(*.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 1)
(*.f64 1 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))
(*.f64 (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) -1)
(*.f64 -1 (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) 2) 2) (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))))
(*.f64 x (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(*.f64 x (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1))
(.f64 (cbrt.f64 x) (+.f64 (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (.f64 x x))))
(*.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) -1) (/.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) -1))
(*.f64 -1 (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) -1))
(*.f64 (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) -1) -1)
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) -1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) -1))
(/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 1)
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) -1)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) -1) -1)
(pow.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 3) 1/3)
(pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) 3)
(neg.f64 (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))
(cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 3))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -1/2 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 7) (*.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 1 (.f64 x x)) (/.f64 x (*.f64 x x)))
(fma.f64 (/.f64 1 (.f64 x x)) (.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (*.f64 x x)))
(if (!=.f64 1 0) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 0) (/.f64 1 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 0) (pow.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) -1) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) 0) (/.f64 -1 (/.f64 (.f64 x x) (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) 0) (/.f64 -1 (/.f64 (neg.f64 (.f64 x x)) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 -1 0) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) 0) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 0) (/.f64 (/.f64 1 x) (/.f64 x (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (*.f64 x x)))
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (/.f64 x (/.f64 1 x))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (*.f64 x x)))
(if (!=.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 0) (/.f64 -1 (/.f64 (neg.f64 (.f64 x x)) (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (-.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (.f64 x x))) 0) (/.f64 (-.f64 (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)))) (-.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (.f64 x x)))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (*.f64 x x)))
(if (!=.f64 (fma.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (neg.f64 (/.f64 x (.f64 x x)))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (pow.f64 (/.f64 x (.f64 x x)) 2)) (fma.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (neg.f64 (/.f64 x (.f64 x x))))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (+.f64 (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x))) (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (.f64 x x))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 (/.f64 x (.f64 x x)) 3)) (+.f64 (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x))) (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (.f64 x x)))))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (.f64 (/.f64 x (.f64 x x)) (-.f64 (/.f64 x (.f64 x x)) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 (/.f64 x (.f64 x x)) 3)) (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (.f64 (/.f64 x (.f64 x x)) (-.f64 (/.f64 x (.f64 x x)) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 (/.f64 x (.f64 x x)) 3)) (+.f64 (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x))) (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (.f64 x x)))))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 (/.f64 x (.f64 x x)) 3)) (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (.f64 (/.f64 x (.f64 x x)) (-.f64 (/.f64 x (.f64 x x)) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (*.f64 x x)))
(if (!=.f64 (/.f64 x (.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 (/.f64 x (.f64 x x)) 3)) (+.f64 (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x))) (.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (.f64 x x)))))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (*.f64 x x)))
(if (!=.f64 (/.f64 x (.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 (/.f64 x (.f64 x x)) 3)) (+.f64 (pow.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2) (.f64 (/.f64 x (.f64 x x)) (-.f64 (/.f64 x (.f64 x x)) (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)))
(if (!=.f64 (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)) 0) (/.f64 1 (pow.f64 (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)) -1)) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (*.f64 x x)))
(if (!=.f64 (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x)) 0) (pow.f64 (/.f64 1 (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (.f64 x x))) -1) (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (*.f64 x x)))
(+.f64 (.f64 (/.f64 x (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 x (*.f64 x x)))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x))) 2) 2)) (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))
(*.f64 x (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)
(.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(*.f64 x (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1))
(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)
(.f64 (cbrt.f64 x) (+.f64 (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (.f64 x x))))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)
(*.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x)
(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) -1) (/.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) -1))
(/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (*.f64 -1 -1))
(*.f64 -1 (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) -1))
(/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (neg.f64 -1))
(*.f64 (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) -1) -1)
(/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (neg.f64 -1))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) -1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 2)) -1))
(/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (*.f64 -1 -1))
(/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 1)
(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) -1)
(/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (neg.f64 -1))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) -1) -1)
(/.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) (*.f64 -1 -1))
(pow.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 3) 1/3)
(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)
(pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 1)
(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)
(pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)) 3)
(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)
(neg.f64 (neg.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))
(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)
(cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 3))
(fma.f64 x (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 2 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series49.0ms (0.6%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(log.f64 (/.f64 2 x))
16.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
10.0ms	x	@	inf	(log.f64 (/.f64 2 x))

Compiler

Compiled 430 to 355 computations (17.4% saved)

rewrite99.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

29× egg-rr

Counts

1 → 29

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (/.f64 2 x)) 0) (/.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) -1)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (/.f64 2 x)) 1/2) (.f64 (log.f64 (/.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (log.f64 (/.f64 2 x))) (.f64 1/2 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (log.f64 (/.f64 2 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 2 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (log.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (/.f64 2 x)) 0) (/.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) -1)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (/.f64 2 x)) 1/2) (*.f64 (log.f64 (/.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log.f64 (/.f64 2 x))) (*.f64 1/2 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (log.f64 (/.f64 2 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 2 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 x))))))

simplify228.0ms (2.8%)

Algorithm

1×

egglog

Counts

29 → 30

Calls

Call 1

Inputs
(if (!=.f64 -1 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))
(if (!=.f64 (log.f64 (/.f64 2 x)) 0) (/.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) -1)) (log.f64 (/.f64 2 x)))
(if (!=.f64 2 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))
(if (!=.f64 1 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))
(+.f64 (.f64 (log.f64 (/.f64 2 x)) 1/2) (.f64 (log.f64 (/.f64 2 x)) 1/2))
(+.f64 (.f64 1/2 (log.f64 (/.f64 2 x))) (.f64 1/2 (log.f64 (/.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (log.f64 (/.f64 2 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 2))
(*.f64 (/.f64 (log.f64 (/.f64 2 x)) -1) -1)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))
(*.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) 2)
(/.f64 (log.f64 (/.f64 2 x)) 1)
(/.f64 (neg.f64 (log.f64 (/.f64 2 x))) -1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(neg.f64 (*.f64 -1 (log.f64 (/.f64 2 x))))
(neg.f64 (*.f64 (log.f64 (/.f64 2 x)) -1))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))

Outputs
(if (!=.f64 -1 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))
(if (!=.f64 (log.f64 (/.f64 2 x)) 0) (/.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) -1)) (log.f64 (/.f64 2 x)))
(if (!=.f64 (log.f64 (/.f64 2 x)) 0) (/.f64 -2 (/.f64 -2 (log.f64 (/.f64 2 x)))) (log.f64 (/.f64 2 x)))
(if (!=.f64 2 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))
(if (!=.f64 1 0) (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x)))
(+.f64 (.f64 (log.f64 (/.f64 2 x)) 1/2) (.f64 (log.f64 (/.f64 2 x)) 1/2))
(log.f64 (/.f64 2 x))
(+.f64 (.f64 1/2 (log.f64 (/.f64 2 x))) (.f64 1/2 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log.f64 (/.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))))
(log.f64 (/.f64 2 x))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))))
(log.f64 (/.f64 2 x))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))))
(log.f64 (/.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))
(log.f64 (/.f64 2 x))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log.f64 (/.f64 2 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 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (log.f64 (/.f64 2 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 2))
(log.f64 (/.f64 2 x))
(*.f64 (/.f64 (log.f64 (/.f64 2 x)) -1) -1)
(log.f64 (/.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))
(log.f64 (/.f64 2 x))
(*.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) 2)
(log.f64 (/.f64 2 x))
(/.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(/.f64 (neg.f64 (log.f64 (/.f64 2 x))) -1)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(neg.f64 (*.f64 -1 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(neg.f64 (*.f64 (log.f64 (/.f64 2 x)) -1))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(log.f64 (/.f64 2 x))

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) -1/2)
✓	0.0b	(log.f64 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/2)) x))

Compiler

Compiled 38 to 21 computations (44.7% saved)

series21.0ms (0.3%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/2)) x))
1.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/2)) x))
1.0ms	x	@	0	(log.f64 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/2)) x))
0.0ms	x	@	inf	(.f64 (.f64 x x) -1/2)
0.0ms	x	@	0	(.f64 (.f64 x x) -1/2)

Compiler

Compiled 1550 to 1325 computations (14.5% saved)

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

37×	`egg-rr`
12×	`egg-rr`

Counts

2 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 1/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/4) (*.f64 x x)) (cbrt.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 -1/2)) (cbrt.f64 -1/2)) (cbrt.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (cbrt.f64 (*.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -1/2)) (*.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 1/4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (*.f64 x (cbrt.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/2) (*.f64 (*.f64 (cbrt.f64 1/4) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (cbrt.f64 1/4) (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/4) (*.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 -1/2)) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x (cbrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (cbrt.f64 (*.f64 x x))) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (cbrt.f64 x)) -1/2) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 x)) (*.f64 -1/2 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x -1/2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (*.f64 (*.f64 x x) (cbrt.f64 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -1/2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 -1/2)) 1) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 -1/2)) (cbrt.f64 (cbrt.f64 1/4))) (pow.f64 (cbrt.f64 (cbrt.f64 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (cbrt.f64 -1/2))) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (cbrt.f64 1/4) (*.f64 x (cbrt.f64 x))))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 1/4) (*.f64 x (cbrt.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (*.f64 (*.f64 x (cbrt.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (cbrt.f64 x)) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))))))

simplify361.0ms (4.4%)

Algorithm

1×

egglog

Counts

61 → 52

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(.f64 1 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)))
(.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 2))))
(.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))))
(/.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))) 3)
(pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 3) 1/3)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 3))
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(.f64 1 (.f64 x (*.f64 x -1/2)))
(.f64 (.f64 x (*.f64 x -1/2)) 1)
(.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 1/4) (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 1/4) (*.f64 x x)) (cbrt.f64 -1/2))
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 -1/2)) (cbrt.f64 -1/2)) (cbrt.f64 -1/2))
(.f64 (.f64 x (cbrt.f64 (.f64 x -1/2))) (cbrt.f64 (.f64 1/4 (*.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 -1/2)) (.f64 (cbrt.f64 (cbrt.f64 1/4)) (.f64 (cbrt.f64 1/4) (.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (.f64 x (cbrt.f64 x)) -1/2)))
(.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 1/4) (.f64 x x)) 1))
(.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) (.f64 (cbrt.f64 1/4) (*.f64 x (cbrt.f64 x))))
(.f64 (.f64 (cbrt.f64 1/4) (.f64 x (cbrt.f64 x))) (cbrt.f64 (.f64 x (*.f64 x -1/2))))
(.f64 (.f64 x x) -1/2)
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(.f64 (.f64 x -1/2) x)
(.f64 (.f64 (*.f64 x x) (cbrt.f64 -1/2)) (cbrt.f64 1/4))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x (cbrt.f64 x)) -1/2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (.f64 x -1/2)))
(.f64 (.f64 -1/2 (cbrt.f64 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 (.f64 (.f64 x (cbrt.f64 x)) -1/2) (cbrt.f64 (.f64 x x)))
(.f64 (.f64 x (cbrt.f64 x)) (.f64 -1/2 (cbrt.f64 (.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 x -1/2)) (cbrt.f64 x))
(.f64 (cbrt.f64 1/4) (.f64 (*.f64 x x) (cbrt.f64 -1/2)))
(.f64 (.f64 (.f64 x -1/2) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 -1/2)) 1) (cbrt.f64 1/4))
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 -1/2)) (cbrt.f64 (cbrt.f64 1/4))) (pow.f64 (cbrt.f64 (cbrt.f64 1/4)) 2))
(.f64 (.f64 x (*.f64 x (cbrt.f64 -1/2))) (cbrt.f64 1/4))
(.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) (cbrt.f64 (.f64 (cbrt.f64 1/4) (.f64 x (cbrt.f64 x))))) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 1/4) (.f64 x (cbrt.f64 x))) 2)))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x -1/2)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 (.f64 x (cbrt.f64 x)) -1/2)))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 (*.f64 x (cbrt.f64 x)) -1/2) 1))
(.f64 (cbrt.f64 x) (.f64 (.f64 (cbrt.f64 (.f64 x x)) (*.f64 x -1/2)) 1))
(/.f64 (.f64 x (.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) 3)
(pow.f64 (.f64 x (.f64 x -1/2)) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) 1/3)
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(.f64 1 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)))
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)) 1)
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)))) 2))
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 2))))
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 2)))
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x -1/2) 2) x)) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))))
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(/.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 1)
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))) 3)
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 1)
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(pow.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 3) 1/3)
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) 3))
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))
(.f64 1 (.f64 x (*.f64 x -1/2)))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 x (*.f64 x -1/2)) 1)
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 1/4) (*.f64 x x)))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 (cbrt.f64 1/4) (*.f64 x x)) (cbrt.f64 -1/2))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 -1/2)) (cbrt.f64 -1/2)) (cbrt.f64 -1/2))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 x (cbrt.f64 (.f64 x -1/2))) (cbrt.f64 (.f64 1/4 (*.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 (cbrt.f64 -1/2)) (.f64 (cbrt.f64 (cbrt.f64 1/4)) (.f64 (cbrt.f64 1/4) (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (.f64 x (cbrt.f64 x)) -1/2)))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 1/4) (.f64 x x)) 1))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) (.f64 (cbrt.f64 1/4) (*.f64 x (cbrt.f64 x))))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 (cbrt.f64 1/4) (.f64 x (cbrt.f64 x))) (cbrt.f64 (.f64 x (*.f64 x -1/2))))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 x x) -1/2)
(.f64 -1/2 (.f64 x x))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 x -1/2) x)
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 (*.f64 x x) (cbrt.f64 -1/2)) (cbrt.f64 1/4))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x (cbrt.f64 x)) -1/2))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (.f64 x -1/2)))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 -1/2 (cbrt.f64 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 (.f64 x (cbrt.f64 x)) -1/2) (cbrt.f64 (.f64 x x)))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 x (cbrt.f64 x)) (.f64 -1/2 (cbrt.f64 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 x -1/2)) (cbrt.f64 x))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 1/4) (.f64 (*.f64 x x) (cbrt.f64 -1/2)))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 (.f64 x -1/2) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 -1/2)) 1) (cbrt.f64 1/4))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 -1/2)) (cbrt.f64 (cbrt.f64 1/4))) (pow.f64 (cbrt.f64 (cbrt.f64 1/4)) 2))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 x (*.f64 x (cbrt.f64 -1/2))) (cbrt.f64 1/4))
(.f64 -1/2 (.f64 x x))
(.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) (cbrt.f64 (.f64 (cbrt.f64 1/4) (.f64 x (cbrt.f64 x))))) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 1/4) (.f64 x (cbrt.f64 x))) 2)))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x -1/2)))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 (.f64 x (cbrt.f64 x)) -1/2)))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 (*.f64 x (cbrt.f64 x)) -1/2) 1))
(.f64 -1/2 (.f64 x x))
(.f64 (cbrt.f64 x) (.f64 (.f64 (cbrt.f64 (.f64 x x)) (*.f64 x -1/2)) 1))
(.f64 -1/2 (.f64 x x))
(/.f64 (.f64 x (.f64 x -1/2)) 1)
(.f64 -1/2 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) 3)
(.f64 -1/2 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -1/2)) 1)
(.f64 -1/2 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) 1/3)
(.f64 -1/2 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3))
(.f64 -1/2 (.f64 x x))

eval220.0ms (2.7%)

Compiler: Compiled 10150 to 5965 computations (41.2% saved)

prune107.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	396	1	397
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	397	5	402

Error

Counts

402 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(log.f64 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/2)) x))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
✓	0.7b	(log.f64 (/.f64 2 x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	35.4b	(log.f64 (.f64 (.f64 2 x) (/.f64 1 (*.f64 x x))))

Compiler

Compiled 53 to 39 computations (26.4% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (.f64 (.f64 2 x) (/.f64 1 (*.f64 x x))))
	0.1b	(/.f64 1 (*.f64 x x))
✓	32.5b	(.f64 (.f64 2 x) (/.f64 1 (*.f64 x x)))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series30.0ms (0.4%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(log.f64 (.f64 (.f64 2 x) (/.f64 1 (*.f64 x x))))
6.0ms	x	@	inf	(log.f64 (.f64 (.f64 2 x) (/.f64 1 (*.f64 x x))))
6.0ms	x	@	-inf	(log.f64 (.f64 (.f64 2 x) (/.f64 1 (*.f64 x x))))
1.0ms	x	@	0	(.f64 (.f64 2 x) (/.f64 1 (*.f64 x x)))
0.0ms	x	@	inf	(.f64 (.f64 2 x) (/.f64 1 (*.f64 x x)))

Compiler

Compiled 610 to 475 computations (22.1% saved)

rewrite124.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

173×	`egg-rr`
17×	`egg-rr`

Counts

2 → 190

Calls

Call 1

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

Outputs

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(neg.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (/.f64 x (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 x x) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x x) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) 0) (/.f64 1 (pow.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) -1)) (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))))) 2) 2) (cbrt.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 x (*.f64 (*.f64 x x) 1/2)))))))

simplify892.0ms (10.9%)

Algorithm

1×

egglog

Counts

202 → 200

Calls

Call 1

Inputs
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(if (!=.f64 1 0) (/.f64 x (.f64 (.f64 x x) 1/2)) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 2 0) (/.f64 x (.f64 (.f64 x x) 1/2)) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 x 0) (/.f64 2 (/.f64 (.f64 x x) x)) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (+.f64 x x) 0) (/.f64 2 (/.f64 (.f64 x x) x)) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (+.f64 x x) 0) (/.f64 -1 (/.f64 (neg.f64 (.f64 x x)) (+.f64 x x))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (+.f64 x x) (/.f64 x (/.f64 1 x))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 -1 0) (/.f64 x (.f64 (.f64 x x) 1/2)) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 4) x) 0) (/.f64 (cbrt.f64 2) (/.f64 (.f64 x x) (.f64 (cbrt.f64 4) x))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 4 (.f64 x x))) 0) (/.f64 (cbrt.f64 (+.f64 x x)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 4 (.f64 x x))))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (sqrt.f64 2) 0) (/.f64 (.f64 x (sqrt.f64 2)) (/.f64 (.f64 x x) (sqrt.f64 2))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 4) 0) (/.f64 (.f64 x (cbrt.f64 2)) (/.f64 (.f64 x x) (cbrt.f64 4))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (.f64 x (sqrt.f64 2)) 0) (/.f64 (sqrt.f64 2) (/.f64 (.f64 x x) (.f64 x (sqrt.f64 2)))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (+.f64 x x)) 0) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 x x)))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 x x) 8)) 0) (/.f64 (cbrt.f64 x) (/.f64 (.f64 x x) (cbrt.f64 (.f64 (.f64 x x) 8)))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (cbrt.f64 (.f64 8 x)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x x)))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (cbrt.f64 x) (/.f64 (.f64 (.f64 x x) 1/2) (cbrt.f64 (.f64 x x)))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 x) 0) (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (.f64 (.f64 x x) 1/2) (cbrt.f64 x))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (+.f64 x x) 0) (/.f64 (/.f64 1 x) (/.f64 x (+.f64 x x))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) 0) (/.f64 1 (pow.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) -1)) (/.f64 x (.f64 (.f64 x x) 1/2)))
(+.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (/.f64 x (*.f64 x x))))
(.f64 (cbrt.f64 (+.f64 x x)) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (.f64 x x)))
(.f64 (/.f64 -1 (cbrt.f64 (.f64 x x))) (/.f64 (+.f64 x x) (neg.f64 (*.f64 x (cbrt.f64 x)))))
(.f64 -1 (/.f64 (+.f64 x x) (neg.f64 (.f64 x x))))
(.f64 (/.f64 (+.f64 x x) -1) (/.f64 -1 (.f64 x x)))
(.f64 (/.f64 (cbrt.f64 (.f64 8 x)) x) (/.f64 (cbrt.f64 (*.f64 x x)) x))
(.f64 (/.f64 (cbrt.f64 (.f64 8 x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (*.f64 x x)) x)))
(.f64 (/.f64 (cbrt.f64 (.f64 8 x)) (.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 8 x)) (/.f64 (cbrt.f64 (.f64 x x)) (.f64 x x)))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) x) (/.f64 (cbrt.f64 4) x))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 x)) (/.f64 (cbrt.f64 4) (.f64 (cbrt.f64 (.f64 x x)) x)))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (.f64 x x))) (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) (.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 4) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) 1) (/.f64 (cbrt.f64 4) (*.f64 x x)))
(.f64 (/.f64 (cbrt.f64 2) (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 4) x) 1))
(.f64 (/.f64 (cbrt.f64 2) x) (/.f64 (.f64 (cbrt.f64 4) x) x))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 x)) (/.f64 (.f64 (cbrt.f64 4) x) (.f64 (cbrt.f64 (.f64 x x)) x)))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 x x))) (/.f64 (.f64 (cbrt.f64 4) x) (.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (cbrt.f64 2) (.f64 x (cbrt.f64 x))) (/.f64 (.f64 (cbrt.f64 4) x) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (cbrt.f64 (+.f64 x x)) x) (/.f64 (cbrt.f64 (.f64 4 (*.f64 x x))) x))
(.f64 (/.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (.f64 (cbrt.f64 (*.f64 x x)) x)))
(.f64 (/.f64 (cbrt.f64 (+.f64 x x)) (.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (cbrt.f64 (*.f64 x x))))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 x)) (/.f64 (.f64 x (sqrt.f64 2)) (.f64 (cbrt.f64 (.f64 x x)) x)))
(.f64 (/.f64 x (.f64 x (cbrt.f64 x))) (cbrt.f64 (/.f64 8 (*.f64 x x))))
(.f64 (/.f64 x (cbrt.f64 x)) (/.f64 2 (.f64 (cbrt.f64 (*.f64 x x)) x)))
(.f64 (/.f64 2 (cbrt.f64 x)) (/.f64 x (.f64 (cbrt.f64 (*.f64 x x)) x)))
(.f64 (/.f64 (cbrt.f64 x) (.f64 x x)) (cbrt.f64 (.f64 (.f64 x x) 8)))
(.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (cbrt.f64 (.f64 (*.f64 x x) 8)) x))
(.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 8)) (.f64 (cbrt.f64 (*.f64 x x)) x)))
(.f64 (cbrt.f64 (/.f64 x (.f64 x x))) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 8)) (*.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 8)) (cbrt.f64 (*.f64 x x))))
(.f64 (/.f64 (.f64 x (sqrt.f64 2)) x) (/.f64 (sqrt.f64 2) x))
(.f64 (/.f64 (.f64 x (sqrt.f64 2)) (cbrt.f64 x)) (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (.f64 x x)) x)))
(.f64 (/.f64 (.f64 x (sqrt.f64 2)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 2) (.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (.f64 x (sqrt.f64 2)) (.f64 x (cbrt.f64 x))) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (.f64 x (sqrt.f64 2)) 1) (/.f64 (sqrt.f64 2) (*.f64 x x)))
(.f64 (cbrt.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (/.f64 x (.f64 (*.f64 x x) 1/2)) 2)))
(.f64 2 (/.f64 x (.f64 x x)))
(.f64 (/.f64 x (.f64 x x)) 2)
(.f64 1 (/.f64 x (.f64 (*.f64 x x) 1/2)))
(.f64 (/.f64 x (.f64 (*.f64 x x) 1/2)) 1)
(.f64 (+.f64 x x) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) (+.f64 x x))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) 2)) (cbrt.f64 (/.f64 x (.f64 (*.f64 x x) 1/2))))
(.f64 (/.f64 2 (.f64 x x)) x)
(.f64 (/.f64 (cbrt.f64 (+.f64 x x)) (.f64 x x)) (cbrt.f64 (.f64 4 (.f64 x x))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (/.f64 x (*.f64 x x))))
(.f64 x (/.f64 2 (.f64 x x)))
(*.f64 (/.f64 (+.f64 x x) x) (/.f64 1 x))
(.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (/.f64 x (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 2 x) (/.f64 x x))
(.f64 (/.f64 x (cbrt.f64 (.f64 x x))) (/.f64 2 (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 x x) (/.f64 2 x))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 x x) x))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (.f64 x x)) (cbrt.f64 (+.f64 x x)))
(.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (/.f64 (cbrt.f64 (+.f64 x x)) (.f64 x x)))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (*.f64 x x))) x) (/.f64 (cbrt.f64 (+.f64 x x)) x))
(.f64 (.f64 (cbrt.f64 4) (/.f64 x (*.f64 x x))) (cbrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (/.f64 x (*.f64 x x))) (sqrt.f64 2))
(.f64 (/.f64 2 (.f64 x (cbrt.f64 x))) (/.f64 x (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) -1) -1)
(.f64 (.f64 (.f64 x (cbrt.f64 (/.f64 8 (.f64 x x)))) (cbrt.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x))) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x)) 2))
(.f64 (.f64 (/.f64 (+.f64 x x) x) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 (*.f64 x x))))
(.f64 (.f64 (/.f64 2 (.f64 x x)) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (.f64 (/.f64 2 (.f64 x x)) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))) 2) 2))
(.f64 (.f64 (/.f64 x (*.f64 x x)) (cbrt.f64 2)) (cbrt.f64 4))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 2) (.f64 (sqrt.f64 2) (/.f64 x (.f64 x x)))))
(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (/.f64 x (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x x))) 2) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (*.f64 x x))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (*.f64 x x))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (*.f64 x x))))
(.f64 -1 (.f64 -1 (/.f64 x (.f64 (.f64 x x) 1/2))))
(.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (+.f64 x x) x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (/.f64 2 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (/.f64 2 (.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 (cbrt.f64 4)) (.f64 (cbrt.f64 4) (/.f64 x (.f64 x x)))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 4) (/.f64 x (.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))) 2) 2) (cbrt.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 2) (/.f64 x (*.f64 x x))))
(.f64 (cbrt.f64 (+.f64 x x)) (.f64 (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (*.f64 x x)) 1))
(.f64 (/.f64 x x) (.f64 (/.f64 2 x) 1))
(.f64 (/.f64 (cbrt.f64 (+.f64 x x)) x) (.f64 (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) x) 1))
(.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 4) (/.f64 x (.f64 x x))) 1))
(.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (.f64 (/.f64 x (.f64 x (cbrt.f64 x))) 1))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 2) (/.f64 x (.f64 x x))) 1))
(.f64 (/.f64 x (cbrt.f64 (.f64 x x))) (.f64 (/.f64 2 (.f64 x (cbrt.f64 x))) 1))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (/.f64 (+.f64 x x) (.f64 x (cbrt.f64 x))) 1))
(.f64 (.f64 -2 x) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 x x) (neg.f64 x)))
(.f64 (/.f64 (+.f64 x x) (cbrt.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (.f64 x x))))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 x)) (/.f64 -1 x))
(.f64 (/.f64 (+.f64 x x) (cbrt.f64 (neg.f64 (.f64 x x)))) (/.f64 -1 (*.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 8 x)) (.f64 x x)) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 (cbrt.f64 (.f64 8 x)) (cbrt.f64 (.f64 x x))) (/.f64 (cbrt.f64 (.f64 x x)) (*.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (cbrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x x)) (.f64 (cbrt.f64 (*.f64 x x)) x)))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (cbrt.f64 (.f64 x x))) (/.f64 (cbrt.f64 (+.f64 x x)) (*.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) (*.f64 x x)) (cbrt.f64 4))
(.f64 (/.f64 (sqrt.f64 2) (.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 2)) 1))
(.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (.f64 x (sqrt.f64 2)) x))
(.f64 (/.f64 (sqrt.f64 2) (.f64 x (cbrt.f64 x))) (/.f64 (.f64 x (sqrt.f64 2)) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 x x))) (/.f64 (.f64 x (sqrt.f64 2)) (.f64 x (cbrt.f64 x))))
(.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (+.f64 x x) (.f64 (cbrt.f64 (*.f64 x x)) x)))
(.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 8)) (.f64 x x)))
(.f64 (/.f64 (+.f64 x x) (cbrt.f64 x)) (/.f64 1 (.f64 (cbrt.f64 (*.f64 x x)) x)))
(.f64 (.f64 x (cbrt.f64 (/.f64 8 (*.f64 x x)))) (/.f64 (cbrt.f64 (/.f64 1 x)) x))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 (+.f64 x x) (*.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (+.f64 x x) (.f64 x (cbrt.f64 x))) (cbrt.f64 (/.f64 1 (*.f64 x x))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (.f64 x (cbrt.f64 (/.f64 8 (*.f64 x x)))))
(.f64 (.f64 (.f64 x (cbrt.f64 (/.f64 8 (.f64 x x)))) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) x))
(/.f64 x (.f64 (.f64 x x) 1/2))
(/.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) 1)
(/.f64 (.f64 -1 (/.f64 (+.f64 x x) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (.f64 x (cbrt.f64 (/.f64 8 (.f64 x x)))) (cbrt.f64 (.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 2))
(/.f64 (/.f64 (+.f64 x x) x) x)
(/.f64 (/.f64 (+.f64 x x) (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) x))
(/.f64 (.f64 (+.f64 x x) (cbrt.f64 (/.f64 1 x))) (.f64 (cbrt.f64 (*.f64 x x)) x))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 x x)) (.f64 (cbrt.f64 (*.f64 x x)) x))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 x x)) (.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 x))))
(/.f64 (+.f64 x x) (*.f64 x x))
(/.f64 (.f64 -2 x) (neg.f64 (.f64 x x)))
(/.f64 (.f64 x (cbrt.f64 (/.f64 8 (.f64 x x)))) (*.f64 x (cbrt.f64 x)))
(/.f64 (.f64 (cbrt.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) (cbrt.f64 (.f64 4 (.f64 x x)))) (.f64 x (cbrt.f64 x)))
(/.f64 (.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) x) (*.f64 x (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 (+.f64 x x) x) -1) (neg.f64 x))
(/.f64 (.f64 (/.f64 (+.f64 x x) x) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (.f64 (/.f64 x (cbrt.f64 (.f64 x x))) 2) (*.f64 x (cbrt.f64 x)))
(/.f64 (*.f64 (+.f64 x x) (/.f64 -1 x)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 x x) (.f64 x (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) 2)) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (.f64 x x)))
(/.f64 (.f64 (.f64 x (cbrt.f64 (/.f64 8 (.f64 x x)))) 1) (.f64 x (cbrt.f64 x)))
(/.f64 (*.f64 -1 (/.f64 (+.f64 x x) x)) (neg.f64 x))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (+.f64 x x) x)) (cbrt.f64 (.f64 x x)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (+.f64 x x) (.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 x x)) (neg.f64 x))
(/.f64 (/.f64 (.f64 -2 x) 1) (neg.f64 (.f64 x x)))
(/.f64 (/.f64 (*.f64 -2 x) x) (neg.f64 x))
(/.f64 (/.f64 (.f64 -2 x) (cbrt.f64 (.f64 x x))) (neg.f64 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (.f64 x (cbrt.f64 (/.f64 8 (.f64 x x)))) 1) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 x x) x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 x x) x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 x (cbrt.f64 (/.f64 8 (.f64 x x))))) (neg.f64 (*.f64 x (cbrt.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 x x) 1/2)))
(pow.f64 (pow.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 3)
(pow.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) 1)
(neg.f64 (.f64 -1 (/.f64 x (.f64 (*.f64 x x) 1/2))))
(neg.f64 (.f64 (/.f64 -1 (.f64 x x)) (+.f64 x x)))
(neg.f64 (.f64 (/.f64 x (.f64 (*.f64 x x) 1/2)) -1))
(neg.f64 (.f64 (+.f64 x x) (/.f64 -1 (.f64 x x))))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (*.f64 x x))))
(cbrt.f64 (pow.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) 3))
(if (!=.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 0) (/.f64 1 (pow.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) -1)) (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))
(.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2)))))
(.f64 1 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2))))
(.f64 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2))) 1)
(.f64 (.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) -1) -1)
(.f64 -1 (.f64 -1 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))) 2) 2) (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))) 2) 2))
(/.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))) 3)
(pow.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 3) 1/3)
(neg.f64 (.f64 -1 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2)))))
(neg.f64 (.f64 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2))) -1))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 3))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))

Outputs
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(if (!=.f64 1 0) (/.f64 x (.f64 (.f64 x x) 1/2)) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 2 0) (/.f64 x (.f64 (.f64 x x) 1/2)) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 x 0) (/.f64 2 (/.f64 (.f64 x x) x)) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (+.f64 x x) 0) (/.f64 2 (/.f64 (.f64 x x) x)) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (+.f64 x x) 0) (/.f64 -1 (/.f64 (neg.f64 (.f64 x x)) (+.f64 x x))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (+.f64 x x) 0) (pow.f64 (/.f64 (.f64 x x) (+.f64 x x)) -1) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (+.f64 x x) (/.f64 x (/.f64 1 x))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (.f64 -2 x) (/.f64 x (/.f64 -1 x))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 -1 0) (/.f64 x (.f64 (.f64 x x) 1/2)) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 4) x) 0) (/.f64 (cbrt.f64 2) (/.f64 (.f64 x x) (.f64 (cbrt.f64 4) x))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 4 (.f64 x x))) 0) (/.f64 (cbrt.f64 (+.f64 x x)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 4 (.f64 x x))))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (sqrt.f64 2) 0) (/.f64 (.f64 x (sqrt.f64 2)) (/.f64 (.f64 x x) (sqrt.f64 2))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (sqrt.f64 2) 0) (/.f64 (.f64 x (sqrt.f64 2)) (.f64 (.f64 x x) (sqrt.f64 1/2))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 4) 0) (/.f64 (.f64 x (cbrt.f64 2)) (/.f64 (.f64 x x) (cbrt.f64 4))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (.f64 x (sqrt.f64 2)) 0) (/.f64 (sqrt.f64 2) (/.f64 (.f64 x x) (.f64 x (sqrt.f64 2)))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (.f64 x (sqrt.f64 2)) 0) (/.f64 (sqrt.f64 2) (.f64 (/.f64 (.f64 x x) x) (sqrt.f64 1/2))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (+.f64 x x)) 0) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 x x)))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 x x) 8)) 0) (/.f64 (cbrt.f64 x) (/.f64 (.f64 x x) (cbrt.f64 (.f64 (.f64 x x) 8)))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (cbrt.f64 (.f64 8 x)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x x)))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (cbrt.f64 x) (/.f64 (.f64 (.f64 x x) 1/2) (cbrt.f64 (.f64 x x)))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (cbrt.f64 (.f64 8 x)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x x)))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (cbrt.f64 x) 0) (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (.f64 (.f64 x x) 1/2) (cbrt.f64 x))) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (+.f64 x x) 0) (/.f64 (/.f64 1 x) (/.f64 x (+.f64 x x))) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (+.f64 x x) 0) (pow.f64 (/.f64 (.f64 x x) (+.f64 x x)) -1) (/.f64 x (.f64 (*.f64 x x) 1/2)))
(if (!=.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) 0) (/.f64 1 (pow.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) -1)) (/.f64 x (.f64 (.f64 x x) 1/2)))
(if (!=.f64 (/.f64 x (.f64 (.f64 x x) 1/2)) 0) (pow.f64 (/.f64 1 (/.f64 x (.f64 (.f64 x x) 1/2))) -1) (/.f64 x (.f64 (.f64 x x) 1/2)))
(+.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (/.f64 x (*.f64 x x))))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (cbrt.f64 (+.f64 x x)) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (.f64 x x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 -1 (cbrt.f64 (.f64 x x))) (/.f64 (+.f64 x x) (neg.f64 (*.f64 x (cbrt.f64 x)))))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 -1 (/.f64 (+.f64 x x) (neg.f64 (.f64 x x))))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (+.f64 x x) -1) (/.f64 -1 (.f64 x x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 (.f64 8 x)) x) (/.f64 (cbrt.f64 (*.f64 x x)) x))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 (.f64 8 x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (*.f64 x x)) x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 (.f64 8 x)) (.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x x))))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (cbrt.f64 (.f64 8 x)) (/.f64 (cbrt.f64 (.f64 x x)) (.f64 x x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) x) (/.f64 (cbrt.f64 4) x))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 x)) (/.f64 (cbrt.f64 4) (.f64 (cbrt.f64 (.f64 x x)) x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (.f64 x x))) (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) (.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 4) (cbrt.f64 (.f64 x x))))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (.f64 x (cbrt.f64 2)) 1) (/.f64 (cbrt.f64 4) (*.f64 x x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 2) (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 4) x) 1))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 2) x) (/.f64 (.f64 (cbrt.f64 4) x) x))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 x)) (/.f64 (.f64 (cbrt.f64 4) x) (.f64 (cbrt.f64 (.f64 x x)) x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 x x))) (/.f64 (.f64 (cbrt.f64 4) x) (.f64 x (cbrt.f64 x))))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 2) (.f64 x (cbrt.f64 x))) (/.f64 (.f64 (cbrt.f64 4) x) (cbrt.f64 (.f64 x x))))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 (+.f64 x x)) x) (/.f64 (cbrt.f64 (.f64 4 (*.f64 x x))) x))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (.f64 (cbrt.f64 (*.f64 x x)) x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 (+.f64 x x)) (.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (cbrt.f64 (*.f64 x x))))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 x)) (/.f64 (.f64 x (sqrt.f64 2)) (.f64 (cbrt.f64 (.f64 x x)) x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 x (.f64 x (cbrt.f64 x))) (cbrt.f64 (/.f64 8 (*.f64 x x))))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 x (cbrt.f64 x)) (/.f64 2 (.f64 (cbrt.f64 (*.f64 x x)) x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 2 (cbrt.f64 x)) (/.f64 x (.f64 (cbrt.f64 (*.f64 x x)) x)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 x) (.f64 x x)) (cbrt.f64 (.f64 (.f64 x x) 8)))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (cbrt.f64 (.f64 (*.f64 x x) 8)) x))
(/.f64 x (.f64 (.f64 x x) 1/2))
(.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 8)) (.f64 (cbrt.f64 (*.f64 x x)) x)))
(/.f64 (.f64 (cbrt.f64 (/.f64 x x)) (cbrt.f64 (/.f64 (.f64 (.f64 x x) 8) (.f64 x x)))) x)
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(if (!=.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 0) (/.f64 -1 (/.f64 -1 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))) (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))
(.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2))) 2)))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2)))))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(.f64 1 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2))))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(.f64 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2))) 1)
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(.f64 (.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) -1) -1)
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(.f64 -1 (.f64 -1 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))) 2) 2) (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))))) 2) 2))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(/.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 1)
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))) 3)
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(pow.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 1)
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 3) 1/3)
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(neg.f64 (.f64 -1 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2)))))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(neg.f64 (.f64 (log.f64 (/.f64 x (.f64 (*.f64 x x) 1/2))) -1))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (.f64 (.f64 x x) 1/2))) 3))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))
(log.f64 (/.f64 x (.f64 (.f64 x x) 1/2)))

eval123.0ms (1.5%)

Compiler: Compiled 4929 to 2619 computations (46.9% saved)

prune75.0ms (0.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	287	1	288
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	288	5	293

Error

Counts

293 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(log.f64 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/2)) x))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
✓	0.7b	(log.f64 (/.f64 2 x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	35.4b	(log.f64 (.f64 (/.f64 2 (.f64 x x)) x))

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (.f64 (/.f64 2 (.f64 x x)) x))
✓	0.1b	(/.f64 2 (*.f64 x x))
✓	32.5b	(.f64 (/.f64 2 (.f64 x x)) x)

Compiler

Compiled 26 to 12 computations (53.8% saved)

series22.0ms (0.3%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 2 (*.f64 x x))
1.0ms	x	@	inf	(/.f64 2 (*.f64 x x))
0.0ms	x	@	0	(.f64 (/.f64 2 (.f64 x x)) x)
0.0ms	x	@	-inf	(.f64 (/.f64 2 (.f64 x x)) x)
0.0ms	x	@	-inf	(log.f64 (.f64 (/.f64 2 (.f64 x x)) x))

Compiler

Compiled 990 to 795 computations (19.7% saved)

rewrite153.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

160×	`egg-rr`
124×	`egg-rr`
12×	`egg-rr`

Counts

3 → 296

Calls

Call 1

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

Outputs

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x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))))))

simplify353.0ms (4.3%)

Algorithm

1×

egglog

Counts

320 → 362

Calls

Call 1

Inputs
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(*.f64 2 (pow.f64 x -2))
(*.f64 2 (pow.f64 x -2))
(*.f64 2 (pow.f64 x -2))
(*.f64 2 (pow.f64 x -2))
(*.f64 2 (pow.f64 (/.f64 1 x) 2))
(*.f64 2 (pow.f64 (/.f64 1 x) 2))
(*.f64 2 (pow.f64 (/.f64 1 x) 2))
(*.f64 2 (pow.f64 (/.f64 1 x) 2))
(*.f64 2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 2 (pow.f64 (/.f64 -1 x) 2))
(if (!=.f64 x 0) (/.f64 2 (/.f64 (.f64 x x) x)) (/.f64 (/.f64 x x) (.f64 x 1/2)))
(if (!=.f64 x 0) (/.f64 (/.f64 2 x) (/.f64 x x)) (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(if (!=.f64 (/.f64 2 x) 0) (/.f64 x (/.f64 x (/.f64 2 x))) (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(if (!=.f64 x 0) (/.f64 -2 (/.f64 (neg.f64 (.f64 x x)) x)) (/.f64 (/.f64 x x) (.f64 x 1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 0) (/.f64 (cbrt.f64 (.f64 2 x)) (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 2 x)) 2))) (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (cbrt.f64 (.f64 8 x)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x x)))) (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 4) x) 0) (/.f64 (cbrt.f64 2) (/.f64 (.f64 x x) (.f64 (cbrt.f64 4) x))) (/.f64 (/.f64 x x) (.f64 x 1/2)))
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(.f64 (cbrt.f64 2) (.f64 (/.f64 (cbrt.f64 4) x) (/.f64 1 x)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (/.f64 (cbrt.f64 4) (*.f64 x (cbrt.f64 x)))))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 2) (/.f64 1 (*.f64 x x))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) x) 1) (*.f64 (/.f64 (sqrt.f64 2) x) 1))
(*.f64 (/.f64 -2 x) (/.f64 1 (neg.f64 x)))
(.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (cbrt.f64 (/.f64 2 x)) x) (/.f64 (cbrt.f64 (/.f64 4 (.f64 x x))) 1))
(.f64 (/.f64 (cbrt.f64 (/.f64 2 x)) 1) (/.f64 (cbrt.f64 (/.f64 4 (.f64 x x))) x))
(.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 2 x) (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(.f64 (cbrt.f64 (/.f64 8 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 x)) x) (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 x x))) 1))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 x)) 1) (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 x x))) x))
(.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 (/.f64 (cbrt.f64 4) x) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) 1))
(.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) 1) (/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) x))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 x x))) (/.f64 (/.f64 (sqrt.f64 2) x) (cbrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 2) x) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (neg.f64 (.f64 x x)))) (/.f64 (neg.f64 (cbrt.f64 4)) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 2) (neg.f64 x)) (/.f64 (neg.f64 (cbrt.f64 4)) x))
(.f64 (/.f64 (cbrt.f64 2) -1) (/.f64 (neg.f64 (cbrt.f64 4)) (.f64 x x)))
(.f64 (/.f64 -1 (cbrt.f64 (.f64 x x))) (/.f64 2 (neg.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 (/.f64 -1 x) (/.f64 -2 x))
(.f64 (/.f64 1 (cbrt.f64 (neg.f64 (.f64 x x)))) (/.f64 -2 (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 -2 x))
(.f64 (/.f64 (cbrt.f64 -2) (cbrt.f64 (.f64 x x))) (/.f64 (cbrt.f64 4) (neg.f64 (*.f64 x (cbrt.f64 x)))))
(.f64 (/.f64 (cbrt.f64 -2) 1) (/.f64 (cbrt.f64 4) (neg.f64 (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) (/.f64 (cbrt.f64 4) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 -2) x) (/.f64 (cbrt.f64 4) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 2) (neg.f64 (*.f64 x (cbrt.f64 x)))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) 1) (/.f64 (sqrt.f64 2) (neg.f64 (.f64 x x))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) x) (/.f64 (sqrt.f64 2) (neg.f64 x)))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (neg.f64 (.f64 x x)))) (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (neg.f64 (sqrt.f64 2)) x))
(.f64 (/.f64 (sqrt.f64 2) -1) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 x x)))
(.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 4) (.f64 x x)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 (/.f64 2 x) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 4) (.f64 x x)) (cbrt.f64 2))
(.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) (cbrt.f64 (/.f64 1 (.f64 x x))))
(.f64 (cbrt.f64 -2) (.f64 (cbrt.f64 4) (/.f64 -1 (*.f64 x x))))
(.f64 2 (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) 2)
(.f64 1 (/.f64 2 (.f64 x x)))
(.f64 (/.f64 2 (.f64 x x)) 1)
(.f64 -1 (/.f64 -2 (.f64 x x)))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (neg.f64 (.f64 x x)))) (/.f64 (neg.f64 (cbrt.f64 4)) (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 2 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) 2)))
(.f64 (/.f64 1 (cbrt.f64 (neg.f64 (.f64 x x)))) (/.f64 -2 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) 2)))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) 2)))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (neg.f64 (.f64 x x)))) (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) 2)))
(.f64 (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(.f64 -2 (/.f64 -1 (.f64 x x)))
(.f64 (/.f64 -1 (.f64 x x)) -2)
(.f64 -2 (.f64 (/.f64 -1 (*.f64 x x)) 1))
(/.f64 (/.f64 1 x) (*.f64 x 1/2))
(/.f64 (*.f64 (/.f64 -2 x) 1) (neg.f64 x))
(/.f64 (cbrt.f64 (/.f64 8 x)) (.f64 (cbrt.f64 (.f64 x x)) x))
(/.f64 (.f64 (cbrt.f64 (/.f64 8 x)) 1) (.f64 (cbrt.f64 (*.f64 x x)) x))
(/.f64 (.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 4)) (.f64 (cbrt.f64 (*.f64 x x)) x))
(/.f64 (/.f64 2 x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 -2 x) (neg.f64 x))
(/.f64 (/.f64 2 x) x)
(/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 x x))) (sqrt.f64 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 2) x) (cbrt.f64 4)) x)
(/.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) (cbrt.f64 4)) (*.f64 x (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 x) -2) (neg.f64 x))
(/.f64 (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 8 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (.f64 (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (cbrt.f64 -2)) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (.f64 (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (cbrt.f64 2)) (cbrt.f64 (*.f64 x x)))
(/.f64 (.f64 (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (cbrt.f64 (/.f64 2 x))) (cbrt.f64 x))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) 2) (*.f64 x (cbrt.f64 x)))
(/.f64 (.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) 1) (cbrt.f64 (.f64 x x)))
(/.f64 (.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) 1) (*.f64 x (cbrt.f64 x)))
(/.f64 (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (*.f64 x x)))
(/.f64 (.f64 (cbrt.f64 (/.f64 8 x)) (/.f64 1 x)) (cbrt.f64 (.f64 x x)))
(/.f64 (.f64 (cbrt.f64 -2) (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) 1) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) 1) (.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (cbrt.f64 (.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2))
(/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 -2 (cbrt.f64 (.f64 x x))) (neg.f64 (.f64 x (cbrt.f64 x))))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 8 (.f64 x x)))) (neg.f64 (.f64 x (cbrt.f64 x))))
(/.f64 -1 (neg.f64 (.f64 (.f64 x x) 1/2)))
(/.f64 2 (*.f64 x x))
(/.f64 1 (.f64 (.f64 x x) 1/2))
(/.f64 (/.f64 2 (*.f64 x x)) 1)
(/.f64 -1 (/.f64 (neg.f64 (*.f64 x x)) 2))
(/.f64 (neg.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (pow.f64 (cbrt.f64 (neg.f64 (.f64 x x))) 2))
(/.f64 -2 (neg.f64 (*.f64 x x)))
(pow.f64 (/.f64 2 (*.f64 x x)) 1)
(pow.f64 (.f64 (.f64 x x) 1/2) -1)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)
(neg.f64 (/.f64 -2 (*.f64 x x)))
(neg.f64 (.f64 (/.f64 -2 (.f64 x x)) 1))
(neg.f64 (.f64 -2 (/.f64 1 (.f64 x x))))
(neg.f64 (.f64 (/.f64 1 (.f64 x x)) -2))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))
(.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 2))))
(.f64 1 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))))
(.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))) 1)
(/.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))) 3)
(pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 3) 1/3)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 3))
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))

Outputs
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(*.f64 2 (pow.f64 x -2))
(*.f64 2 (pow.f64 x -2))
(*.f64 2 (pow.f64 x -2))
(*.f64 2 (pow.f64 x -2))
(*.f64 2 (pow.f64 (/.f64 1 x) 2))
(*.f64 2 (pow.f64 (/.f64 1 x) 2))
(*.f64 2 (pow.f64 (/.f64 1 x) 2))
(*.f64 2 (pow.f64 (/.f64 1 x) 2))
(*.f64 2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 2 (pow.f64 (/.f64 -1 x) 2))
(if (!=.f64 x 0) (/.f64 2 (/.f64 (.f64 x x) x)) (/.f64 (/.f64 x x) (.f64 x 1/2)))
(if (!=.f64 x 0) (/.f64 (/.f64 2 x) (/.f64 x x)) (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(if (!=.f64 (/.f64 2 x) 0) (/.f64 x (/.f64 x (/.f64 2 x))) (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(if (!=.f64 x 0) (/.f64 -2 (/.f64 (neg.f64 (.f64 x x)) x)) (/.f64 (/.f64 x x) (.f64 x 1/2)))
(if (!=.f64 x 0) (/.f64 -2 (neg.f64 (/.f64 (.f64 x x) x))) (/.f64 (/.f64 x x) (.f64 x 1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 0) (/.f64 (cbrt.f64 (.f64 2 x)) (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 2 x)) 2))) (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (cbrt.f64 (.f64 8 x)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x x)))) (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 4) x) 0) (/.f64 (cbrt.f64 2) (/.f64 (.f64 x x) (.f64 (cbrt.f64 4) x))) (/.f64 (/.f64 x x) (.f64 x 1/2)))
(if (!=.f64 (.f64 (sqrt.f64 2) x) 0) (/.f64 (sqrt.f64 2) (/.f64 (.f64 x x) (.f64 (sqrt.f64 2) x))) (/.f64 (/.f64 x x) (.f64 x 1/2)))
(if (!=.f64 2 0) (/.f64 (/.f64 x x) (.f64 x 1/2)) (/.f64 (/.f64 x x) (.f64 x 1/2)))
(if (!=.f64 (.f64 2 x) 0) (/.f64 1 (/.f64 (.f64 x x) (.f64 2 x))) (/.f64 (/.f64 x x) (.f64 x 1/2)))
(if (!=.f64 -2 0) (/.f64 (/.f64 x x) (.f64 x 1/2)) (/.f64 (/.f64 x x) (.f64 x 1/2)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (/.f64 2 (.f64 x x))))
(/.f64 (/.f64 (*.f64 2 x) x) x)
(.f64 (.f64 (cbrt.f64 (.f64 x x)) (/.f64 2 (.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 2 x) x) x)
(.f64 (.f64 (.f64 (/.f64 2 (.f64 x x)) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 2 x) x) x)
(.f64 (.f64 x (/.f64 (sqrt.f64 2) x)) (/.f64 (sqrt.f64 2) x))
(/.f64 (/.f64 (*.f64 2 x) x) x)
(.f64 (.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 2 x) x) x)
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))) 2))
(/.f64 (/.f64 x x) (*.f64 x 1/2))
(.f64 (/.f64 (sqrt.f64 2) x) (.f64 (/.f64 (sqrt.f64 2) x) x))
(/.f64 (/.f64 (*.f64 2 x) x) x)
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 x x))) (.f64 (/.f64 (sqrt.f64 2) (.f64 x (cbrt.f64 x))) x))
(/.f64 (/.f64 (*.f64 2 x) x) x)
(.f64 (cbrt.f64 2) (.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)) x))
(.f64 (/.f64 (cbrt.f64 2) x) (/.f64 (.f64 (cbrt.f64 4) x) x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))) 2) 2) (cbrt.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))) 2) 2)) (cbrt.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)) 2))))
(/.f64 (/.f64 x x) (*.f64 x 1/2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (/.f64 2 (.f64 x x)) (pow.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)) 2))))
(.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (.f64 (/.f64 x (.f64 x (cbrt.f64 x))) 1))
(/.f64 (.f64 x (cbrt.f64 (/.f64 8 (.f64 x x)))) (*.f64 x (cbrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 x)) (.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 x x))) (/.f64 x x)))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 x)) (/.f64 (.f64 (sqrt.f64 2) (/.f64 x x)) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 (/.f64 8 (*.f64 x x))) (/.f64 x x)))
(.f64 (cbrt.f64 2) (.f64 (/.f64 (cbrt.f64 4) x) (/.f64 x x)))
(.f64 (/.f64 (cbrt.f64 2) x) (/.f64 (.f64 (cbrt.f64 4) x) x))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (/.f64 (cbrt.f64 4) (*.f64 x (cbrt.f64 x))) x)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (/.f64 (.f64 (cbrt.f64 4) x) (*.f64 x (cbrt.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (.f64 (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) x)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (/.f64 (.f64 (cbrt.f64 4) x) (.f64 x (cbrt.f64 x)))))
(.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (.f64 x x))) (/.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 2 x) x) x)
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(/.f64 (cbrt.f64 (/.f64 8 x)) (.f64 (cbrt.f64 (.f64 x x)) x))
(/.f64 (.f64 (cbrt.f64 -2) (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 4)) (.f64 x (cbrt.f64 x))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 2 x) 4)) (.f64 x (cbrt.f64 x))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) 1) (cbrt.f64 (*.f64 x x)))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 2 (.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) 1) (.f64 x (cbrt.f64 x)))
(/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (cbrt.f64 (.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2))
(/.f64 (cbrt.f64 (/.f64 (/.f64 8 (.f64 x x)) (.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2))
(/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 -2 (cbrt.f64 (.f64 x x))) (neg.f64 (.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 -2 (cbrt.f64 (.f64 x x))) (.f64 (neg.f64 x) (cbrt.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 8 (.f64 x x)))) (neg.f64 (.f64 x (cbrt.f64 x))))
(/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(/.f64 -1 (neg.f64 (.f64 (.f64 x x) 1/2)))
(/.f64 -1 (neg.f64 (.f64 x (.f64 x 1/2))))
(/.f64 2 (*.f64 x x))
(/.f64 1 (.f64 (.f64 x x) 1/2))
(/.f64 (/.f64 1 (*.f64 x x)) 1/2)
(/.f64 (/.f64 2 (*.f64 x x)) 1)
(/.f64 2 (*.f64 x x))
(/.f64 -1 (/.f64 (neg.f64 (*.f64 x x)) 2))
(/.f64 -1 (neg.f64 (/.f64 (*.f64 x x) 2)))
(/.f64 (neg.f64 (/.f64 (/.f64 2 x) (cbrt.f64 x))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 2 (.f64 x (cbrt.f64 x))) (cbrt.f64 (neg.f64 (.f64 x x)))))
(/.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (pow.f64 (cbrt.f64 (neg.f64 (.f64 x x))) 2))
(/.f64 -2 (neg.f64 (*.f64 x x)))
(pow.f64 (/.f64 2 (*.f64 x x)) 1)
(/.f64 2 (*.f64 x x))
(pow.f64 (.f64 (.f64 x x) 1/2) -1)
(/.f64 (/.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)
(/.f64 2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(/.f64 2 (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)
(/.f64 2 (*.f64 x x))
(neg.f64 (/.f64 -2 (*.f64 x x)))
(neg.f64 (.f64 (/.f64 -2 (.f64 x x)) 1))
(neg.f64 (/.f64 -2 (*.f64 x x)))
(neg.f64 (.f64 -2 (/.f64 1 (.f64 x x))))
(neg.f64 (/.f64 -2 (*.f64 x x)))
(neg.f64 (.f64 (/.f64 1 (.f64 x x)) -2))
(neg.f64 (/.f64 -2 (*.f64 x x)))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))
(/.f64 2 (*.f64 x x))
(.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 2)))
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))))
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))))) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 2))))
(.f64 1 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))))
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(.f64 (log.f64 (/.f64 (/.f64 x x) (.f64 x 1/2))) 1)
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(/.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 1)
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))) 3)
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 1)
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 3) 1/3)
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2))) 3))
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))
(log.f64 (/.f64 (/.f64 x x) (*.f64 x 1/2)))

eval107.0ms (1.3%)

Compiler: Compiled 5793 to 3309 computations (42.9% saved)

prune56.0ms (0.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	362	0	362
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	362	5	367

Error

Counts

367 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(log.f64 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/2)) x))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
✓	0.7b	(log.f64 (/.f64 2 x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	35.4b	(log.f64 (.f64 (/.f64 2 (.f64 x x)) x))

Compiler

Compiled 51 to 37 computations (27.5% saved)

regimes15.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0.0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 102 to 66 computations (35.3% saved)

regimes14.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0.0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 75 to 49 computations (34.7% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes4.0ms (0%)

Accuracy

Total -34.7b remaining (-5014.7%)

Threshold costs -34.7b (-5014.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

simplify22.0ms (0.3%)

Stop Event

1×

done

Compiler

Compiled 42 to 31 computations (26.2% saved)

soundness1.0ms (0%)

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

end39.0ms (0.5%)

Compiler: Compiled 39 to 27 computations (30.8% saved)

Details

analyze6.0ms (0.1%)

sample1.4s (17.4%)

preprocess325.0ms (4%)

simplify105.0ms (1.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize46.0ms (0.6%)

series97.0ms (1.2%)

rewrite212.0ms (2.6%)

simplify767.0ms (9.4%)

localize39.0ms (0.5%)

series52.0ms (0.6%)

rewrite212.0ms (2.6%)

simplify604.0ms (7.4%)

eval345.0ms (4.2%)

prune128.0ms (1.6%)

localize30.0ms (0.4%)

series37.0ms (0.5%)

rewrite134.0ms (1.6%)

simplify357.0ms (4.4%)

localize15.0ms (0.2%)

series49.0ms (0.6%)

rewrite99.0ms (1.2%)

simplify228.0ms (2.8%)

localize15.0ms (0.2%)

series21.0ms (0.3%)

rewrite77.0ms (0.9%)

simplify361.0ms (4.4%)

eval220.0ms (2.7%)

prune107.0ms (1.3%)

localize13.0ms (0.2%)

series30.0ms (0.4%)

rewrite124.0ms (1.5%)

simplify892.0ms (10.9%)

eval123.0ms (1.5%)

prune75.0ms (0.9%)

localize18.0ms (0.2%)

series22.0ms (0.3%)

rewrite153.0ms (1.9%)

simplify353.0ms (4.3%)

eval107.0ms (1.3%)

prune56.0ms (0.7%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

simplify22.0ms (0.3%)

soundness1.0ms (0%)

end39.0ms (0.5%)

Profiling