Details

analyze104.0ms (2.1%)

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%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.1s (41.8%)

Results

1.1s	8256×	body	256	valid
861.0ms	7245×	body	256	infinite
123.0ms	1071×	body	256	invalid

Bogosity

preprocess214.0ms (4.3%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify85.0ms (1.7%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

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

eval3.0ms (0.1%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune11.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.3b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize36.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.0b	(-.f64 (*.f64 x x) 1)
✓	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	29.2b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series72.0ms (1.5%)

Counts

4 → 28

Calls

12 calls:

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

Compiler

Compiled 3440 to 2995 computations (12.9% saved)

rewrite196.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

118×	`egg-rr`
30×	`egg-rr`
26×	`egg-rr`
12×	`egg-rr`

Counts

4 → 186

Calls

Call 1

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

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

simplify508.0ms (10.3%)

Algorithm

1×

egglog

Counts

214 → 263

Calls

Call 1

Inputs
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x)) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -1 x))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1/8 (pow.f64 (/.f64 1 x) 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)))) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (.f64 -5/128 (pow.f64 (/.f64 -1 x) 7)) (.f64 1/2 (/.f64 1 x)))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 (/.f64 1 x) -2)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(-.f64 (pow.f64 (/.f64 1 x) -2) 1)
(pow.f64 (/.f64 -1 x) -2)
(-.f64 (pow.f64 (/.f64 -1 x) -2) 1)
(-.f64 (pow.f64 (/.f64 -1 x) -2) 1)
(-.f64 (pow.f64 (/.f64 -1 x) -2) 1)
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 2) 2) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) -1))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 2 2))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(if (!=.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 (fma.f64 x x (.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3)) (fma.f64 x x (.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 (sqrt.f64 (fma.f64 x x -1)) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3)) (fma.f64 x x (*.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3)) (fma.f64 x x (*.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) x)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(.f64 (+.f64 (cbrt.f64 (.f64 x x)) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (-.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(.f64 (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) 2))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x)) -1)
(fma.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) -1)
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) x) -1)
(fma.f64 (*.f64 x x) 1 -1)
(fma.f64 -1 1 (*.f64 x x))
(fma.f64 1 -1 (*.f64 x x))
(fma.f64 1 0 (fma.f64 x x -1))
(fma.f64 0 3 (fma.f64 x x -1))
(fma.f64 0 0 (fma.f64 x x -1))
(fma.f64 0 1 (fma.f64 x x -1))
(if (!=.f64 1 0) (fma.f64 x x -1) (fma.f64 x x -1))
(if (!=.f64 (-.f64 (fma.f64 (pow.f64 x 3) x 1) (neg.f64 (*.f64 x x))) 0) (fma.f64 x x -1) (fma.f64 x x -1))
(if (!=.f64 -1 0) (fma.f64 x x -1) (fma.f64 x x -1))
(if (!=.f64 (*.f64 x x) 0) (fma.f64 x x -1) (fma.f64 x x -1))
(if (!=.f64 (fma.f64 x x 1) 0) (/.f64 (fma.f64 (pow.f64 x 3) x -1) (fma.f64 x x 1)) (fma.f64 x x -1))
(if (!=.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) 0) (/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))) (+.f64 (pow.f64 (*.f64 x x) 3) -1))) (fma.f64 x x -1))
(if (!=.f64 (fma.f64 x x -1) 0) (/.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))) (/.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))) (fma.f64 x x -1))) (fma.f64 x x -1))
(if (!=.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1)) 2) 0) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1)) (/.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1)) 2))) (fma.f64 x x -1))
(if (!=.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) 0) (/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 3) x 1) (neg.f64 (.f64 x x))) (+.f64 (pow.f64 (*.f64 x x) 3) -1))) (fma.f64 x x -1))
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(if (!=.f64 (-.f64 -1 (.f64 x x)) 0) (/.f64 (-.f64 1 (pow.f64 (.f64 x x) 2)) (-.f64 -1 (*.f64 x x))) (fma.f64 x x -1))
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(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (.f64 0 (neg.f64 (fma.f64 x x -1))))) 0) (/.f64 (pow.f64 (fma.f64 x x -1) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (.f64 0 (neg.f64 (fma.f64 x x -1)))))) (fma.f64 x x -1))
(if (!=.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 x x) 3) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (/.f64 (pow.f64 (.f64 x x) 3) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))) (+.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))) (.f64 (/.f64 (pow.f64 (.f64 x x) 3) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x x) 3) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 x x) 3) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (/.f64 (pow.f64 (.f64 x x) 3) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))) (+.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))) (.f64 (/.f64 (pow.f64 (.f64 x x) 3) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x)))))))) (fma.f64 x x -1))
(if (!=.f64 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x))) 0) (fma.f64 x x -1) (fma.f64 x x -1))
(if (!=.f64 (neg.f64 (fma.f64 x x -1)) 0) (/.f64 (pow.f64 (fma.f64 x x -1) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (*.f64 0 (neg.f64 (fma.f64 x x -1)))))) (fma.f64 x x -1))
(if (!=.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x x) 2) (neg.f64 (.f64 x x)))) 0) (fma.f64 x x -1) (fma.f64 x x -1))
(+.f64 (.f64 (+.f64 1 x) x) (.f64 (+.f64 1 x) -1))
(+.f64 (*.f64 (+.f64 x -1) x) (+.f64 x -1))
(+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))
(+.f64 (.f64 x (+.f64 1 x)) (.f64 -1 (+.f64 1 x)))
(+.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(+.f64 (*.f64 x x) -1)
(+.f64 -1 (*.f64 x x))
(+.f64 -1 (.f64 (neg.f64 (.f64 x x)) -1))
(+.f64 -1 (neg.f64 (neg.f64 (*.f64 x x))))
(+.f64 0 (fma.f64 x x -1))
(+.f64 (/.f64 (pow.f64 (.f64 x x) 3) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (neg.f64 (/.f64 1 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x))))))
(-.f64 (/.f64 (pow.f64 (.f64 x x) 3) (-.f64 (fma.f64 (pow.f64 x 3) x 1) (neg.f64 (.f64 x x)))) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 3) x 1) (neg.f64 (*.f64 x x)))))
(-.f64 (*.f64 x x) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x x) 3) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x)))))
(-.f64 0 (neg.f64 (fma.f64 x x -1)))
(-.f64 (+.f64 (*.f64 x x) 0) 1)
(-.f64 -1 (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 1 x) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 1 x))
(.f64 (.f64 -1 (+.f64 1 x)) (-.f64 1 x))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 x -1)))
(.f64 (.f64 (+.f64 1 x) (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(.f64 (.f64 (+.f64 x -1) (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(.f64 (cbrt.f64 (+.f64 1 x)) (.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))
(.f64 (cbrt.f64 (+.f64 1 x)) (.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 x -1)))
(.f64 (cbrt.f64 (+.f64 x -1)) (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 1 x)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) 2) (cbrt.f64 (fma.f64 x x -1))))
(.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))) (.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1)) 2) (/.f64 1 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x))))))
(*.f64 (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))
(*.f64 (neg.f64 (+.f64 1 x)) (-.f64 1 x))
(*.f64 (+.f64 x -1) (-.f64 x -1))
(.f64 (-.f64 1 (pow.f64 (.f64 x x) 3)) (/.f64 1 (neg.f64 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x))))))
(*.f64 (/.f64 1 1) (fma.f64 x x -1))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))) (/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) 2)))
(.f64 (/.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))) 1) (/.f64 (fma.f64 x x -1) (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x)))))
(.f64 (/.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))) (cbrt.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))) (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) 2)))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1)) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1)) 2) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))))
(.f64 (+.f64 1 (-.f64 (.f64 x (cbrt.f64 x)) (neg.f64 (cbrt.f64 (.f64 x x))))) (+.f64 -1 (cbrt.f64 (.f64 x x))))
(.f64 (+.f64 (.f64 x (cbrt.f64 x)) (-.f64 1 (.f64 (cbrt.f64 (.f64 x x)) -1))) (+.f64 (cbrt.f64 (*.f64 x x)) -1))
(.f64 (+.f64 (.f64 x (cbrt.f64 x)) (+.f64 1 (cbrt.f64 (.f64 x x)))) (-.f64 (cbrt.f64 (.f64 x x)) 1))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) 1)
(.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) (/.f64 1 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x)))))
(*.f64 -1 (neg.f64 (fma.f64 x x -1)))
(*.f64 (neg.f64 (fma.f64 x x -1)) -1)
(.f64 (/.f64 1 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (+.f64 (pow.f64 (*.f64 x x) 3) -1))
(.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) (.f64 (/.f64 1 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) 1))
(.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 3) x 1) (neg.f64 (*.f64 x x)))))
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 x x -1))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) 2))
(/.f64 (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (+.f64 x -1) (+.f64 (pow.f64 x 3) 1)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 x -1)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) (+.f64 1 x)) (+.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) -1) (/.f64 1 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))) (+.f64 (+.f64 1 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (*.f64 x x) 3) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) (cbrt.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x)))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) 1) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) -1) (.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))) (+.f64 (+.f64 1 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (*.f64 x x) 3) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) -1) (.f64 (-.f64 (fma.f64 (pow.f64 x 3) x 1) (neg.f64 (.f64 x x))) (+.f64 (+.f64 1 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (*.f64 x x) 3) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))) (.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))) (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1) (+.f64 (pow.f64 x 3) 1)) (.f64 (+.f64 (fma.f64 x x 1) x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) -1) 1) (.f64 (+.f64 (+.f64 1 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (.f64 x x) 3) 2)) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 x x) 3)) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 3) x 1) (neg.f64 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) (neg.f64 (neg.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x))))
(/.f64 (-.f64 1 (pow.f64 (.f64 x x) 3)) (neg.f64 (+.f64 1 (.f64 x (+.f64 (pow.f64 x 3) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) (-.f64 (fma.f64 (pow.f64 x 3) x 1) (neg.f64 (.f64 x x))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1))) (cbrt.f64 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x x) 3)) 1) (neg.f64 (+.f64 1 (*.f64 x (+.f64 (pow.f64 x 3) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) (.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 (fma.f64 x x 1) x)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) -1) (+.f64 1 (-.f64 (pow.f64 (.f64 x x) 2) (neg.f64 (*.f64 x x)))))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (fma.f64 x x -1) 1)
(neg.f64 (neg.f64 (fma.f64 x x -1)))
(neg.f64 (-.f64 (neg.f64 (fma.f64 x x -1)) 0))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))))
(.f64 -1 (.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

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

eval227.0ms (4.6%)

Compiler: Compiled 6303 to 4329 computations (31.3% saved)

prune41.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	260	3	263
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	260	4	264

Error

Counts

264 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	31.3b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	1.8b	(log.f64 (+.f64 x x))
▶	41.5b	(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓	0.1b	(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)
✓	29.2b	(sqrt.f64 (fma.f64 x x -1))
✓	39.1b	(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))

Compiler

Compiled 50 to 33 computations (34% saved)

series66.0ms (1.3%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
1.0ms	x	@	inf	(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
0.0ms	x	@	inf	(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)
0.0ms	x	@	0	(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)

Compiler

Compiled 6350 to 5830 computations (8.2% saved)

rewrite166.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

43×	`egg-rr`
40×	`egg-rr`
40×	`egg-rr`
33×	`egg-rr`

Counts

4 → 156

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) (.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) (.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 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simplify378.0ms (7.7%)

Algorithm

1×

egglog

Counts

188 → 183

Calls

Call 1

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

Outputs
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (neg.f64 (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1/8 (pow.f64 (/.f64 1 x) 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 2 x (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3))) (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 2 x (fma.f64 -1/16 (pow.f64 (/.f64 1 x) 5) (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3)))) (/.f64 1/2 x))
(*.f64 -1 (/.f64 (cbrt.f64 -1/8) x))
(neg.f64 (/.f64 (cbrt.f64 -1/8) x))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (cbrt.f64 -1/8) 2))) (.f64 -1 (/.f64 (cbrt.f64 -1/8) x)))
(fma.f64 -1/32 (/.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (cbrt.f64 -1/8) 2)) (neg.f64 (/.f64 (cbrt.f64 -1/8) x)))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (cbrt.f64 -1/8) 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 9/128 (.f64 3/1024 (/.f64 (cbrt.f64 -1/8) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 2) 2)))) (pow.f64 (/.f64 -1 x) 5)) (pow.f64 (cbrt.f64 -1/8) 2))) (*.f64 -1 (/.f64 (cbrt.f64 -1/8) x))))
(fma.f64 -1/32 (/.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (cbrt.f64 -1/8) 2)) (fma.f64 -1/3 (/.f64 (.f64 (+.f64 9/128 (/.f64 (.f64 3/1024 (cbrt.f64 -1/8)) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 2) 2))) (pow.f64 (/.f64 -1 x) 5)) (pow.f64 (cbrt.f64 -1/8) 2)) (neg.f64 (/.f64 (cbrt.f64 -1/8) x))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/32768 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 -1/8) 2) 3))) (+.f64 7/128 (.f64 1/16 (/.f64 (.f64 (+.f64 9/128 (.f64 3/1024 (/.f64 (cbrt.f64 -1/8) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 2) 2)))) (cbrt.f64 -1/8)) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 2) 2))))) (pow.f64 (/.f64 -1 x) 7)) (pow.f64 (cbrt.f64 -1/8) 2))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (cbrt.f64 -1/8) 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 9/128 (.f64 3/1024 (/.f64 (cbrt.f64 -1/8) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 2) 2)))) (pow.f64 (/.f64 -1 x) 5)) (pow.f64 (cbrt.f64 -1/8) 2))) (*.f64 -1 (/.f64 (cbrt.f64 -1/8) x)))))
(fma.f64 1/3 (/.f64 (.f64 (-.f64 (/.f64 1/32768 (pow.f64 (pow.f64 (cbrt.f64 -1/8) 2) 3)) (+.f64 7/128 (/.f64 (.f64 1/16 (.f64 (+.f64 9/128 (/.f64 (.f64 3/1024 (cbrt.f64 -1/8)) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 2) 2))) (cbrt.f64 -1/8))) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 2) 2)))) (pow.f64 (/.f64 -1 x) 7)) (pow.f64 (cbrt.f64 -1/8) 2)) (fma.f64 -1/32 (/.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (cbrt.f64 -1/8) 2)) (fma.f64 -1/3 (/.f64 (.f64 (+.f64 9/128 (/.f64 (.f64 3/1024 (cbrt.f64 -1/8)) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 2) 2))) (pow.f64 (/.f64 -1 x) 5)) (pow.f64 (cbrt.f64 -1/8) 2)) (neg.f64 (/.f64 (cbrt.f64 -1/8) x)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -1/8 (pow.f64 (/.f64 1 x) 3) x) (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -1/16 (pow.f64 (/.f64 1 x) 5) (fma.f64 -1/8 (pow.f64 (/.f64 1 x) 3) x)) (/.f64 1/2 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (fma.f64 -1/8 (pow.f64 (/.f64 -1 x) 3) (neg.f64 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -1 x))))
(+.f64 (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (/.f64 1/2 x)) (fma.f64 -1/8 (pow.f64 (/.f64 -1 x) 3) (neg.f64 x)))
(*.f64 8 (pow.f64 (/.f64 1 x) -3))
(+.f64 (.f64 -6 x) (.f64 8 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 -6 x (*.f64 8 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) (+.f64 (.f64 -6 x) (*.f64 8 (pow.f64 (/.f64 1 x) -3))))
(fma.f64 -1/8 (pow.f64 (/.f64 1 x) 3) (fma.f64 -6 x (*.f64 8 (pow.f64 (/.f64 1 x) -3))))
(+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 5)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) (+.f64 (.f64 -6 x) (.f64 8 (pow.f64 (/.f64 1 x) -3)))))
(fma.f64 -3/32 (pow.f64 (/.f64 1 x) 5) (fma.f64 -1/8 (pow.f64 (/.f64 1 x) 3) (fma.f64 -6 x (*.f64 8 (pow.f64 (/.f64 1 x) -3)))))
(*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -3/32 (pow.f64 (/.f64 -1 x) 5)))
(fma.f64 -1/8 (pow.f64 (/.f64 -1 x) 3) (*.f64 -3/32 (pow.f64 (/.f64 -1 x) 5)))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -9/128 (pow.f64 (/.f64 -1 x) 7)) (*.f64 -3/32 (pow.f64 (/.f64 -1 x) 5))))
(fma.f64 -1/8 (pow.f64 (/.f64 -1 x) 3) (fma.f64 -9/128 (pow.f64 (/.f64 -1 x) 7) (*.f64 -3/32 (pow.f64 (/.f64 -1 x) 5))))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -9/128 (pow.f64 (/.f64 -1 x) 7)) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 -1 x) 5)) (.f64 -7/128 (pow.f64 (/.f64 -1 x) 9)))))
(fma.f64 -1/8 (pow.f64 (/.f64 -1 x) 3) (fma.f64 -9/128 (pow.f64 (/.f64 -1 x) 7) (fma.f64 -3/32 (pow.f64 (/.f64 -1 x) 5) (*.f64 -7/128 (pow.f64 (/.f64 -1 x) 9)))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (neg.f64 (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1/8 (pow.f64 (/.f64 1 x) 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 2 x (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3))) (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 2 x (fma.f64 -1/16 (pow.f64 (/.f64 1 x) 5) (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3)))) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/8 (pow.f64 (/.f64 -1 x) 3) (/.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 (/.f64 -1 x) 3) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (/.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (.f64 -5/128 (pow.f64 (/.f64 -1 x) 7)) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1/8 (pow.f64 (/.f64 -1 x) 3) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (fma.f64 -5/128 (pow.f64 (/.f64 -1 x) 7) (/.f64 1/2 x))))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 -1 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(if (!=.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 (fma.f64 x x (.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3)) (fma.f64 x x (.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 (sqrt.f64 (fma.f64 x x -1)) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3)) (fma.f64 x x (*.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3)) (fma.f64 x x (*.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0) (/.f64 1 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) -1) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 -1 (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) -1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(.f64 (+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (-.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 x)))
(.f64 (-.f64 (+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 x)))
(.f64 (+.f64 (cbrt.f64 (.f64 x x)) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (-.f64 (+.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(.f64 (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
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(.f64 (+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (-.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 x)))
(.f64 (-.f64 (+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 x)))
(.f64 (+.f64 (cbrt.f64 (.f64 x x)) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (-.f64 (+.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(.f64 (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

localize5.0ms (0.1%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

series17.0ms (0.3%)

Counts

2 → 12

Calls

6 calls:

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

Compiler

Compiled 1620 to 1350 computations (16.7% saved)

rewrite117.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

55×	`egg-rr`
13×	`egg-rr`

Counts

2 → 68

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (-.f64 (/.f64 1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 -1/2 x)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 2 (cbrt.f64 x)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (.f64 2 (cbrt.f64 (.f64 x x))) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 2 x (/.f64 1/2 x)) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (/.f64 -1/4 (.f64 x x))) (fma.f64 2 x (/.f64 1/2 x))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/2 x)))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 (+.f64 x x) (/.f64 -1/2 x)))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 (+.f64 x x) (/.f64 -1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 (+.f64 x x) (/.f64 -1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (/.f64 1/2 x) x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/2 x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x (/.f64 -1/2 x)) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 1/2 x) 0) (.f64 (fma.f64 2 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/2 x) (/.f64 1/2 x))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1/2 x) 0) (.f64 (fma.f64 2 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/2 x) (/.f64 1/2 x))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 1/2 x) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1/2 x) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 (+.f64 x x) (/.f64 -1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x x) 0) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 0) (-.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 1/2 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 -1/2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 2 x (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2) 2) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (/.f64 1/2 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (cbrt.f64 (.f64 x (+.f64 x (/.f64 -1/2 x)))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (-.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 x (+.f64 x (/.f64 -1/2 x)))))) (+.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 1/2 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (-.f64 (/.f64 1/2 x) (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) 2) 2) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) 2) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (-.f64 (/.f64 1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 -1/2 x)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 2 (cbrt.f64 x)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 2 (cbrt.f64 (*.f64 x x))) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 2 x (/.f64 1/2 x)) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (/.f64 -1/4 (*.f64 x x))) (fma.f64 2 x (/.f64 1/2 x))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/2 x)))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x x) (/.f64 -1/2 x)))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x x) (/.f64 -1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x x) (/.f64 -1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (*.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (/.f64 1/2 x) x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (*.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (*.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/2 x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (*.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x (/.f64 -1/2 x)) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (*.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/2 x)))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 1/2 x) 0) (*.f64 (fma.f64 2 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/2 x) (/.f64 1/2 x))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1/2 x) 0) (*.f64 (fma.f64 2 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/2 x) (/.f64 1/2 x))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 1/2 x) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1/2 x) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x x) (/.f64 -1/2 x))))) (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x x) 0) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 0) (-.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 1/2 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 -1/2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2) 2) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 1/2 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (cbrt.f64 (*.f64 x (+.f64 x (/.f64 -1/2 x)))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (-.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x (/.f64 -1/2 x)))))) (+.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 1/2 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 (/.f64 1/2 x) (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 3))))))

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

simplify258.0ms (5.2%)

Algorithm

1×

egglog

Counts

80 → 83

Calls

Call 1

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

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

eval234.0ms (4.7%)

Compiler: Compiled 7580 to 5488 computations (27.6% saved)

prune38.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	266	4	270

Error

Counts

270 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.1b	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	31.3b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	1.8b	(log.f64 (+.f64 x x))
✓	41.5b	(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes21.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
7.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
6.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.0b	2	`x`
0.0b	2	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0.0b	2	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 54 to 36 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2492.439546817346	28655.309052880184

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.6b remaining (-56.5%)

Threshold costs -0.6b (-56.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.1b	1	`x`

Compiler

Compiled 15 to 9 computations (40% saved)

simplify1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 43 to 28 computations (34.9% saved)

soundness0.0ms (0%)

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

end32.0ms (0.6%)

Compiler: Compiled 41 to 26 computations (36.6% saved)

Details

analyze104.0ms (2.1%)

sample2.1s (41.8%)

preprocess214.0ms (4.3%)

simplify85.0ms (1.7%)

eval3.0ms (0.1%)

prune11.0ms (0.2%)

localize36.0ms (0.7%)

series72.0ms (1.5%)

rewrite196.0ms (4%)

simplify508.0ms (10.3%)

eval227.0ms (4.6%)

prune41.0ms (0.8%)

localize24.0ms (0.5%)

series66.0ms (1.3%)

rewrite166.0ms (3.4%)

simplify378.0ms (7.7%)

localize5.0ms (0.1%)

localize12.0ms (0.2%)

series17.0ms (0.3%)

rewrite117.0ms (2.4%)

simplify258.0ms (5.2%)

eval234.0ms (4.7%)

prune38.0ms (0.8%)

regimes21.0ms (0.4%)

bsearch0.0ms (0%)

regimes3.0ms (0.1%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end32.0ms (0.6%)

Profiling