Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (22%)

Results

1.3s	8256×	body	256	valid
2.0ms	18×	body	256	invalid

Bogosity

preprocess150.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1222×	`+-commutative`
1114×	`distribute-lft-in`
1034×	`*-commutative`
966×	`distribute-rgt-in`
904×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	28	39
3	39	39
4	55	39
5	92	39
6	146	39
7	322	39
8	884	39
9	1809	39
10	3203	39
11	5287	39
12	6335	39
13	6751	39
14	7039	39
15	7175	39
16	7252	39
17	7547	39
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify158.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1222×	`+-commutative`
1114×	`distribute-lft-in`
1034×	`*-commutative`
966×	`distribute-rgt-in`
904×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	28	39
3	39	39
4	55	39
5	92	39
6	146	39
7	322	39
8	884	39
9	1809	39
10	3203	39
11	5287	39
12	6335	39
13	6751	39
14	7039	39
15	7175	39
16	7252	39
17	7547	39

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series205.0ms (3.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
203.0ms	x	@	-inf	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
1.0ms	x	@	inf	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0ms	x	@	0	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite309.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`associate-/r*`
970×	`associate-/l*`
728×	`distribute-rgt-in`
680×	`distribute-lft-in`
544×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	245	75
2	3503	75

Stop Event

1×	node limit

Counts

3 → 247

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (pow.f64 x -2) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x) (.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) x) (/.f64 (sqrt.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))))

simplify135.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-r`
724×	`associate-l`
654×	`associate-/r*`
556×	`*-commutative`
546×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	693	14133
1	1879	12715

Stop Event

1×	node limit

Counts

283 → 413

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (-.f64 1 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (.f64 (/.f64 (pow.f64 x -2) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x) (.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x))
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 1)
(-.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(.f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1)
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(.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))
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(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) 1) (/.f64 1 x))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

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

eval242.0ms (4%)

Compiler: Compiled 10634 to 6867 computations (35.4% saved)

prune64.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	408	5	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	409	5	414

Error

Counts

414 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(log.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x) (/.f64 1 x)))
▶	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	0.8b	(log.f64 (/.f64 2 x))
▶	0.5b	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
▶	0.5b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 112 to 86 computations (23.2% saved)

localize38.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 26 computations (43.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite132.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`associate-*r/`
1066×	`associate-*l/`
948×	`*-commutative`
924×	`associate-/r*`
714×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	216	52
2	2974	52

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs
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Outputs

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3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)))))

simplify108.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1416×	`unswap-sqr`
720×	`associate-+l+`
666×	`+-commutative`
422×	`associate-+r+`
368×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	7051
1	997	6817
2	4128	6733

Stop Event

1×	node limit

Counts

147 → 250

Calls

Call 1

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

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

localize6.0ms (0.1%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite83.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`*-commutative`
936×	`associate-*r/`
762×	`unswap-sqr`
610×	`swap-sqr`
570×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	249	34
2	2988	34

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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(/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))))))

simplify488.0ms (8%)

Algorithm

1×	egg-herbie

Rules

1888×	`associate-*r/`
1562×	`associate-*l/`
652×	`+-commutative`
438×	`associate-+r+`
426×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	6928
1	1047	6308
2	4155	6284

Stop Event

1×	node limit

Counts

138 → 245

Calls

Call 1

Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) (-.f64 1 (*.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 x))) (-.f64 1 (/.f64 2 x)))
(-.f64 (/.f64 (.f64 1/4 (.f64 x x)) (fma.f64 -1/2 x (/.f64 -2 x))) (/.f64 (pow.f64 x -2) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 4)))
(-.f64 (+.f64 (*.f64 -1/2 x) (exp.f64 (log1p.f64 (/.f64 2 x)))) 1)
(-.f64 (+.f64 (/.f64 2 x) (exp.f64 (log1p.f64 (*.f64 -1/2 x)))) 1)
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))))
(.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(.f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)))
(.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4))) (fma.f64 -1/2 x (/.f64 2 x)))
(.f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (-.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x)))))
(.f64 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (.f64 (/.f64 (/.f64 4 x) x) (.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)) (+.f64 (/.f64 2 x) (.f64 x 1/2)))))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 -2 x) (+.f64 (/.f64 2 x) (.f64 x 1/2)))))
(.f64 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 3) (pow.f64 (-.f64 (/.f64 (/.f64 4 x) x) (.f64 x (/.f64 -1 x))) 3))) (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (.f64 (-.f64 (/.f64 (/.f64 4 x) x) (.f64 x (/.f64 -1 x))) (-.f64 (-.f64 (/.f64 (/.f64 4 x) x) (.f64 x (/.f64 -1 x))) (.f64 1/4 (.f64 x x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(/.f64 1 (/.f64 1 (fma.f64 -1/2 x (/.f64 2 x))))
(/.f64 (fma.f64 -1/2 x (/.f64 2 x)) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4)) (fma.f64 -1/2 x (/.f64 -2 x)))
(/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))
(/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))) (/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))) (fma.f64 -1/2 x (/.f64 2 x))))
(/.f64 (sqrt.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))) (sqrt.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))))
(/.f64 (sqrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4))) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))) (/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))) (cbrt.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4))) (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)))) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)))))
(/.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 -1/4 (.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))) (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))) (.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (+.f64 (.f64 1/4 (.f64 x x)) (/.f64 (/.f64 4 x) x))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))) (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 3)))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 3) (pow.f64 (/.f64 (/.f64 4 x) x) 3)) (.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (.f64 (/.f64 (/.f64 4 x) x) (+.f64 (.f64 1/4 (.f64 x x)) (/.f64 (/.f64 4 x) x))))))
(/.f64 (neg.f64 (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4))) (neg.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (neg.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 -1/4 (.f64 x x))) 1) (+.f64 (/.f64 2 x) (.f64 x 1/2)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4))) 1) (neg.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x)))) (+.f64 (.f64 1/4 (.f64 x x)) (/.f64 (/.f64 4 x) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 3) (pow.f64 (/.f64 (/.f64 4 x) x) 3)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x)))) (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (.f64 (/.f64 (/.f64 4 x) x) (+.f64 (.f64 1/4 (.f64 x x)) (/.f64 (/.f64 4 x) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))) (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))) (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4)) 1) (fma.f64 -1/2 x (/.f64 -2 x)))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4)) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x)))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (+.f64 (sqrt.f64 (.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x)))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))))
(/.f64 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))
(/.f64 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(neg.f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4)) (neg.f64 (fma.f64 -1/2 x (/.f64 -2 x)))))
(neg.f64 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (.f64 -1/2 x)) (sqrt.f64 (.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 x)) 2) (cbrt.f64 (.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(+.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))) (.f64 1 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (.f64 1 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(-.f64 (log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(-.f64 (log.f64 (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))) (log.f64 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (.f64 1/4 (.f64 x x)) (*.f64 (pow.f64 x -2) -4)))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))
(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 29 computations (27.5% saved)

series1.0ms (0%)

Counts

3 → 27

Calls

9 calls:

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

rewrite145.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`associate-*r/`
1112×	`associate-*l/`
1066×	`*-commutative`
820×	`distribute-lft-in`
482×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	235	73
2	3141	69

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 x))) (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 (*.f64 -1/2 x) (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (+.f64 (*.f64 -1/2 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 x) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (+.f64 (*.f64 -1/2 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -3) (*.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 x -2) (*.f64 -1/2 (/.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 -1/2 x) (/.f64 -1 x))) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 x -2) (*.f64 -1/2 (/.f64 x x))))) (+.f64 (pow.f64 x -3) (*.f64 -1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))) (log.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 2))) (log.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2))) (log.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3))) (log.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2) (/.f64 (fma.f64 -1/2 x (/.f64 1 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2)))) (log.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3)))) (log.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2) (/.f64 (fma.f64 -1/2 x (/.f64 1 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (-.f64 (*.f64 -1/2 x) 1)))))))

simplify213.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-+r+`
642×	`associate-/l*`
640×	`associate-r`
588×	`fma-def`
530×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	14224
1	1762	13668
2	7744	13668

Stop Event

1×	node limit

Counts

244 → 379

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 47 to 27 computations (42.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

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

0.0ms

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

0.0ms

inf

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

rewrite97.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`*-commutative`
746×	`associate-*r/`
732×	`unswap-sqr`
540×	`swap-sqr`
512×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	228	35
2	2825	29

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))))))) (#(struct:change #<rule egg-rr> 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(-.f64 1 (*.f64 x x)))) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3)) (-.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2))) (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))) (-.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 x -1/2)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) 1) (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3)) 1) (-.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))))

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1450×	`associate-+l+`
1418×	`associate-+r+`
574×	`fma-def`
534×	`+-commutative`
496×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	2833
1	436	2493
2	1478	2433
3	5316	2409

Stop Event

1×	node limit

Counts

59 → 104

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x))))
(.f64 (pow.f64 x -1/2) (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (pow.f64 x -1/2)))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2)))))
(.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2))))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3/2))
(.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/6))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(/.f64 (-.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 -1 x)))
(/.f64 (+.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 3)) (-.f64 (+.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) x)))
(/.f64 (.f64 1 (-.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2))) (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 -1 x)))
(/.f64 (.f64 1 (+.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 3))) (-.f64 (+.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (pow.f64 x -1/2)) (sqrt.f64 x))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) -1) (neg.f64 x))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 (.f64 (pow.f64 x -1/2) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 x))
(/.f64 (.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 x))
(/.f64 (.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 x))
(/.f64 (.f64 (-.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) 1) (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 -1 x)))
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 3)) 1) (-.f64 (+.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))

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

eval644.0ms (10.6%)

Compiler: Compiled 28305 to 20521 computations (27.5% saved)

prune218.0ms (3.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1103	1	1104
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	1104	5	1109

Error

Counts

1109 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(log.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	0.8b	(log.f64 (/.f64 2 x))
✓	0.5b	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
✓	0.5b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 55 to 43 computations (21.8% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 61 to 37 computations (39.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite99.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`associate-*r/`
1116×	`associate-/r*`
1088×	`associate-*l/`
1066×	`*-commutative`
798×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	260	58
2	3415	58

Stop Event

1×	node limit

Counts

2 → 210

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 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simplify142.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1228×	`unswap-sqr`
668×	`associate-/l*`
644×	`associate-/l/`
448×	`distribute-frac-neg`
446×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	550	11504
1	1356	11086
2	5268	11078

Stop Event

1×	node limit

Counts

234 → 347

Calls

Call 1

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

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

eval246.0ms (4%)

Compiler: Compiled 13521 to 9563 computations (29.3% saved)

prune93.0ms (1.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	561	1	562
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	562	5	567

Error

Counts

567 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	0.8b	(log.f64 (/.f64 2 x))
▶	0b	(log.f64 (/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
✓	0.5b	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
✓	0.5b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 55 to 43 computations (21.8% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 60 to 36 computations (40% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`associate-*l/`
1342×	`associate-/r*`
1090×	`*-commutative`
874×	`associate-/l*`
604×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	244	29
2	3392	29

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) x) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) -1) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 1) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) -1) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 1 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (neg.f64 x))) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x x) x) (*.f64 x x)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x x) x) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (+.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) x) (-.f64 1 (*.f64 (-.f64 1 (+.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 1 (+.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (+.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) x) (+.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 1 (+.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1) (+.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2) 1) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2) (cbrt.f64 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))))

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1332×	`associate-/l*`
1274×	`associate-/r*`
868×	`distribute-lft-in`
802×	`distribute-rgt-in`
680×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	3698
1	593	3626
2	2302	3344

Stop Event

1×	node limit

Counts

78 → 125

Calls

Call 1

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

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

eval174.0ms (2.9%)

Compiler: Compiled 9880 to 7109 computations (28% saved)

prune66.0ms (1.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	426	0	426
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	426	5	431

Error

Counts

431 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	0.8b	(log.f64 (/.f64 2 x))
✓	0b	(log.f64 (/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
✓	0.5b	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
✓	0.5b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 55 to 43 computations (21.8% saved)

regimes17.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	x

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 120 to 84 computations (30% saved)

regimes13.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	x

Results

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

Compiler

Compiled 80 to 57 computations (28.8% saved)

regimes3.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes3.0ms (0%)

Accuracy

Total -0.4b remaining (-74.3%)

Threshold costs -0.4b (-74.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
10×	`*-commutative`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	147
1	39	147
2	47	147
3	51	147
4	53	147

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 55 to 43 computations (21.8% saved)

soundness79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-r`
724×	`associate-l`
654×	`associate-/r*`
556×	`*-commutative`
546×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	693	14133
1	1879	12715

Stop Event

1×	node limit

Compiler

Compiled 166 to 115 computations (30.7% saved)

end37.0ms (0.6%)

Compiler: Compiled 51 to 38 computations (25.5% saved)

Details

analyze4.0ms (0.1%)

sample1.3s (22%)

preprocess150.0ms (2.5%)

simplify158.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.3%)

series205.0ms (3.4%)

rewrite309.0ms (5.1%)

simplify135.0ms (2.2%)

eval242.0ms (4%)

prune64.0ms (1.1%)

localize38.0ms (0.6%)

series1.0ms (0%)

rewrite132.0ms (2.2%)

simplify108.0ms (1.8%)

localize6.0ms (0.1%)

localize17.0ms (0.3%)

series2.0ms (0%)

rewrite83.0ms (1.4%)

simplify488.0ms (8%)

localize17.0ms (0.3%)

series1.0ms (0%)

rewrite145.0ms (2.4%)

simplify213.0ms (3.5%)

localize18.0ms (0.3%)

series0.0ms (0%)

rewrite97.0ms (1.6%)

simplify72.0ms (1.2%)

eval644.0ms (10.6%)

prune218.0ms (3.6%)

localize22.0ms (0.4%)

series2.0ms (0%)

rewrite99.0ms (1.6%)

simplify142.0ms (2.3%)

eval246.0ms (4%)

prune93.0ms (1.5%)

localize22.0ms (0.4%)

series0.0ms (0%)

rewrite70.0ms (1.2%)

simplify64.0ms (1.1%)

eval174.0ms (2.9%)

prune66.0ms (1.1%)

regimes17.0ms (0.3%)

regimes13.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

simplify8.0ms (0.1%)

soundness79.0ms (1.3%)

end37.0ms (0.6%)

Profiling