Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.8s (43.1%)

Results

1.1s	4101×	body	1024	valid
367.0ms	2065×	body	512	valid
178.0ms	1630×	body	256	valid
155.0ms	460×	body	2048	valid

Bogosity

preprocess12.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

92×	`fma-def`
52×	`associate--r+`
48×	`associate-+l-`
46×	`+-commutative`
28×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify18.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

92×	`fma-def`
52×	`associate--r+`
48×	`associate-+l-`
46×	`+-commutative`
28×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

eval0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% 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

59.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.0b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 x))
✓	5.9b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series6.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
2.0ms	x	@	-inf	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms	x	@	0	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 1 x))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 1 x))

rewrite72.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`associate-*r/`
1222×	`associate-*l/`
936×	`*-commutative`
788×	`associate-/r*`
484×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	213	38
2	2916	38

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

Outputs
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Outputs

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

simplify94.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1664×	`associate-*r/`
1070×	`+-commutative`
830×	`associate--r+`
792×	`associate-+l-`
700×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	8574
1	1074	8080
2	4801	8048

Stop Event

1×	node limit

Counts

150 → 253

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
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(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
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(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) 1)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (+.f64 1 x) 1/4))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(pow.f64 (-.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))

Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/16 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(sqrt.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))

eval111.0ms (2.7%)

Compiler: Compiled 6566 to 4994 computations (23.9% saved)

prune30.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	249	4	253
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	249	5	254

Error

Counts

254 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.8b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶	0.0b	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓	59.0b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶	0.5b	(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
	0.6b	x

Compiler

Compiled 52 to 39 computations (25% saved)

localize7.0ms (0.2%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

series3.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

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

rewrite99.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`associate-/r*`
1288×	`associate-/l*`
1000×	`associate-/r/`
328×	`associate-+l+`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	268	54
2	4108	54

Stop Event

1×	node limit

Counts

2 → 332

Calls

Call 1

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

Outputs
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Outputs

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

simplify135.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1566×	`associate-/l*`
1306×	`associate-/r*`
1208×	`associate-r`
1046×	`associate-l`
908×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	783	21778
1	2349	20722

Stop Event

1×	node limit

Counts

340 → 610

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 x 1)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (*.f64 -1 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 2 (.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2)) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
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(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 x)) (+.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (*.f64 x x))) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(/.f64 (/.f64 (+.f64 x x) (/.f64 2 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))) (/.f64 x (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 1 (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 2)) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 4) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x x) 2)) x)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 2 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1) (+.f64 x x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2) x)
(/.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (.f64 (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1) x)
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 x) 1))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) 1) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))

Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/4 (.f64 x x)))
(+.f64 2 (.f64 x (.f64 x -1/4)))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (.f64 -1/4 (.f64 x x))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (.f64 x (.f64 x -1/4))))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (.f64 x x) (.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (.f64 (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))) (.f64 (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))) (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (.f64 (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))) x))) (.f64 (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))) x))) (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(.f64 (/.f64 1 (.f64 (+.f64 x x) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x)))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1) x)
(/.f64 1/2 (*.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 x) 1))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) 1) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x)))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 (sqrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))) (sqrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 (sqrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))) x))) (sqrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))) x))) (.f64 (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))) x))) (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
	0.0b	(sqrt.f64 (-.f64 1 x))
✓	0.0b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓	5.9b	(-.f64 1 (-.f64 1 x))

Compiler

Compiled 55 to 41 computations (25.5% saved)

series3.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite102.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`associate-/l*`
1382×	`associate-/r/`
518×	`associate-+l+`
420×	`associate-+r+`
350×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	301	28
2	4681	28

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

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

Outputs

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

simplify102.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1664×	`associate--r+`
670×	`associate-r`
488×	`fma-def`
444×	`associate-l`
436×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	8807
1	1327	7773
2	6931	7701

Stop Event

1×	node limit

Counts

185 → 307

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 1 (+.f64 (*.f64 (+.f64 x -1) 1) 0))
(+.f64 1 (-.f64 (+.f64 x -1) 0))
(+.f64 1 (-.f64 (*.f64 (+.f64 x -1) 1) 0))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 0 x)
(+.f64 0 (neg.f64 (neg.f64 x)))
(+.f64 (+.f64 x -1) 1)
(+.f64 (*.f64 (+.f64 x -1) 1) 1)
(+.f64 -1 (+.f64 (neg.f64 (neg.f64 x)) 1))
(+.f64 (-.f64 1 (/.f64 1 (+.f64 1 x))) (/.f64 x (/.f64 (+.f64 1 x) x)))
(+.f64 (-.f64 1 (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
(.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (.f64 (-.f64 1 x) (-.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 2 x)) (-.f64 1 (pow.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 1 (+.f64 1 (.f64 (-.f64 1 x) (-.f64 2 x)))) (-.f64 1 (pow.f64 (-.f64 1 x) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 1 (pow.f64 (-.f64 1 x) 2))) x)
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (pow.f64 (-.f64 1 x) 3))) (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) 1) x)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (-.f64 1 (.f64 (.f64 (-.f64 1 x) (-.f64 2 x)) (.f64 (-.f64 1 x) (-.f64 2 x))))) (-.f64 x (pow.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (pow.f64 (.f64 (-.f64 1 x) (-.f64 2 x)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 (-.f64 1 x) (-.f64 2 x)) (.f64 (-.f64 1 x) (-.f64 2 x))) (.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 1 (/.f64 1 x))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))
(/.f64 (pow.f64 x 3) (-.f64 (.f64 x x) (.f64 0 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 2 x) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (/.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))) (/.f64 (-.f64 2 x) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))) (/.f64 (+.f64 1 (.f64 (-.f64 1 x) (-.f64 2 x))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 2 x))
(/.f64 (-.f64 0 (*.f64 x x)) (neg.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 2 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(pow.f64 x 1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
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(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
(+.f64 1 (+.f64 x -1))
x
(+.f64 1 (*.f64 (+.f64 x -1) 1))
x
(+.f64 1 (+.f64 (*.f64 (+.f64 x -1) 1) 0))
x
(+.f64 1 (-.f64 (+.f64 x -1) 0))
x
(+.f64 1 (-.f64 (*.f64 (+.f64 x -1) 1) 0))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 0 x)
x
(+.f64 0 (neg.f64 (neg.f64 x)))
x
(+.f64 (+.f64 x -1) 1)
x
(+.f64 (*.f64 (+.f64 x -1) 1) 1)
x
(+.f64 -1 (+.f64 (neg.f64 (neg.f64 x)) 1))
x
(+.f64 (-.f64 1 (/.f64 1 (+.f64 1 x))) (/.f64 x (/.f64 (+.f64 1 x) x)))
(+.f64 (-.f64 1 (/.f64 1 (+.f64 x 1))) (*.f64 (/.f64 x (+.f64 x 1)) x))
(fma.f64 (/.f64 x (+.f64 x 1)) x (+.f64 1 (/.f64 -1 (+.f64 x 1))))
(+.f64 (-.f64 1 (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))
(+.f64 1 (+.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x x))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x)))))
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1))
x
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))
(/.f64 (-.f64 x (*.f64 x (+.f64 x -1))) (-.f64 2 x))
(.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (-.f64 2 x) 1))
(*.f64 (/.f64 1 (-.f64 2 x)) (-.f64 1 (pow.f64 (-.f64 1 x) 2)))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))
(/.f64 (-.f64 x (*.f64 x (+.f64 x -1))) (-.f64 2 x))
(.f64 (/.f64 1 (+.f64 1 (.f64 (-.f64 1 x) (-.f64 2 x)))) (-.f64 1 (pow.f64 (-.f64 1 x) 3)))
(.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (-.f64 2 x) 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 1 (pow.f64 (-.f64 1 x) 2))) x)
x
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (pow.f64 (-.f64 1 x) 3))) (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) 1) x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (pow.f64 (-.f64 1 x) 3))) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 (+.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 x (.f64 x (+.f64 x -1))) (/.f64 (+.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (.f64 x (+.f64 x -1)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (-.f64 1 (.f64 (.f64 (-.f64 1 x) (-.f64 2 x)) (.f64 (-.f64 1 x) (-.f64 2 x))))) (-.f64 x (pow.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (-.f64 1 (.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 2 x) (-.f64 2 x))))) (-.f64 x (pow.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (.f64 (*.f64 (-.f64 2 x) (pow.f64 (-.f64 1 x) 2)) (+.f64 -2 x)))) (-.f64 x (pow.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (pow.f64 (.f64 (-.f64 1 x) (-.f64 2 x)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 (-.f64 1 x) (-.f64 2 x)) (.f64 (-.f64 1 x) (-.f64 2 x))) (.f64 (-.f64 1 x) (-.f64 2 x)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (pow.f64 (.f64 (-.f64 1 x) (-.f64 2 x)) 3))) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 1 x) 2) (.f64 (-.f64 2 x) (-.f64 2 x))) (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (pow.f64 (.f64 (-.f64 1 x) (-.f64 2 x)) 3))) (+.f64 1 (.f64 (-.f64 2 x) (+.f64 (.f64 (-.f64 2 x) (pow.f64 (-.f64 1 x) 2)) (+.f64 x -1)))))
(/.f64 1 (/.f64 1 x))
x
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 (-.f64 x (*.f64 x (+.f64 x -1))) (-.f64 2 x))
(/.f64 (pow.f64 x 3) (-.f64 (.f64 x x) (.f64 0 x)))
(/.f64 (pow.f64 x 3) (*.f64 x x))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))))
(.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (-.f64 2 x) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 2 x) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (-.f64 2 x)) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))) (-.f64 2 x))
(/.f64 (.f64 (sqrt.f64 (-.f64 x (.f64 x (+.f64 x -1)))) (sqrt.f64 (-.f64 x (*.f64 x (+.f64 x -1))))) (-.f64 2 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (/.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (+.f64 1 (.f64 (-.f64 1 x) (-.f64 2 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)))) (fma.f64 (-.f64 1 x) (-.f64 2 x) 1))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))) (/.f64 (-.f64 2 x) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))) (-.f64 2 x)) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 2 x) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))))))
(.f64 (cbrt.f64 (-.f64 x (.f64 x (+.f64 x -1)))) (/.f64 (cbrt.f64 (-.f64 x (.f64 x (+.f64 x -1)))) (/.f64 (-.f64 2 x) (cbrt.f64 (-.f64 x (.f64 x (+.f64 x -1)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))) (/.f64 (+.f64 1 (.f64 (-.f64 1 x) (-.f64 2 x))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (/.f64 (fma.f64 (-.f64 1 x) (-.f64 2 x) 1) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 2 x))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))
(/.f64 (-.f64 x (*.f64 x (+.f64 x -1))) (-.f64 2 x))
(/.f64 (-.f64 0 (*.f64 x x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) x) -2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -2 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 2 x)))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 x) 2)) (+.f64 -2 x))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (+.f64 -1 (neg.f64 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 x) 3)) (-.f64 -1 (*.f64 (-.f64 1 x) (-.f64 2 x))))
(pow.f64 x 1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(log1p.f64 (expm1.f64 x))
x
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 1 x) 1/2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (pow.f64 (-.f64 1 x) 1/2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (pow.f64 (-.f64 1 x) 1/2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (pow.f64 (-.f64 1 x) 1/2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 1 x) 1/2)) (neg.f64 (pow.f64 (-.f64 1 x) 1/2))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
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(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 x x)))
(/.f64 (*.f64 (+.f64 x x) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 2 (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 x x) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 (+.f64 x x)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (+.f64 x x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (/.f64 (+.f64 x x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)))
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 x x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x x))))
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 x x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x x))))
(*.f64 (/.f64 2 (/.f64 (sqrt.f64 (+.f64 x x)) x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x x))))
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x x))))
(/.f64 (*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 x x)))
(*.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x x))))
(.f64 (/.f64 (+.f64 x x) (.f64 x (-.f64 x x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 x x)))
(.f64 (/.f64 (+.f64 x x) 0) (.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
0
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 x x)))
(/.f64 (*.f64 (+.f64 x x) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 x x (*.f64 x (-.f64 x x)))))
(.f64 (/.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (.f64 (.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (.f64 (.f64 (pow.f64 x 3) 2) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (pow.f64 x 3) 2))
(*.f64 (/.f64 (+.f64 x x) (-.f64 (neg.f64 x) x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 (neg.f64 x) x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 2 (/.f64 (.f64 x -2) x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 (neg.f64 x) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 (neg.f64 x) x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 2 (/.f64 (.f64 x -2) x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(.f64 (.f64 -2 (/.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (+.f64 -2 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (neg.f64 x) x) (-.f64 (neg.f64 x) x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x x)) 2))) (cbrt.f64 (+.f64 x x)))
(/.f64 (*.f64 (+.f64 x x) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 (-.f64 (neg.f64 x) x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))
(.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))) (/.f64 (-.f64 (neg.f64 x) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(.f64 (-.f64 2 (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))) (/.f64 (*.f64 x -2) (-.f64 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (-.f64 1 x) 3/2))))
(.f64 (/.f64 (.f64 (.f64 x (-.f64 x x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (.f64 x (-.f64 x x))) (+.f64 x x))
(.f64 (/.f64 (+.f64 x x) 0) (.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
0
(.f64 (/.f64 (.f64 (.f64 x (-.f64 x x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (-.f64 (pow.f64 x 3) (pow.f64 x 3))) (+.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (+.f64 x x) 0) (.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
0
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x (-.f64 x x)) (.f64 x (-.f64 x x))))) (fma.f64 x x (*.f64 x (-.f64 x x))))
(.f64 (.f64 x x) (/.f64 (.f64 2 (pow.f64 x 3)) (/.f64 (.f64 x (pow.f64 x 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(.f64 (.f64 x x) (/.f64 (.f64 (pow.f64 x 3) 2) (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x (-.f64 x x)) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x (-.f64 x x)) (.f64 x (-.f64 x x))) (.f64 (.f64 x x) (*.f64 x (-.f64 x x))))))
(.f64 (.f64 x (pow.f64 x 3)) (/.f64 (.f64 2 (pow.f64 x 3)) (/.f64 (+.f64 0 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (.f64 (.f64 (pow.f64 x 3) 2) (pow.f64 x 4)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 x 6))
(*.f64 (/.f64 (/.f64 (+.f64 x x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (+.f64 x x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (+.f64 x x) (.f64 (sqrt.f64 (+.f64 x x)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))))
(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (.f64 (/.f64 2 (sqrt.f64 (+.f64 x x))) (/.f64 x (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))))
(.f64 (/.f64 (/.f64 (+.f64 x x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 (/.f64 (/.f64 (+.f64 x x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(.f64 (.f64 (/.f64 2 (hypot.f64 (pow.f64 (-.f64 1 x) 3/4) (pow.f64 (+.f64 x 1) 3/4))) (/.f64 x (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))) (sqrt.f64 (-.f64 2 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (+.f64 x x) (.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) x)) (/.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 (/.f64 (+.f64 x x) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(.f64 (.f64 (/.f64 2 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (-.f64 2 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (neg.f64 x) x) 1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 x -2) (-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(fabs.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (pow.f64 (+.f64 x 1) 1/2) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (-.f64 1 x)))

eval746.0ms (18%)

Compiler: Compiled 40490 to 29728 computations (26.6% saved)

prune330.0ms (8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1439	3	1442
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	1440	7	1447

Error

Counts

1447 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	50.8b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶	51.2b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 2 (.f64 x (.f64 x -1/4))))
▶	51.4b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) 2)
✓	0.0b	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶	0.5b	(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
✓	59.0b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
	0.6b	x

Compiler

Compiled 82 to 61 computations (25.6% saved)

localize14.0ms (0.3%)

Compiler: Compiled 33 to 20 computations (39.4% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.9b	(-.f64 1 (-.f64 1 x))

Compiler

Compiled 28 to 21 computations (25% saved)

localize19.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.9b	(-.f64 1 (-.f64 1 x))

Compiler

Compiled 50 to 36 computations (28% saved)

eval59.0ms (1.4%)

Compiler: Compiled 3765 to 2830 computations (24.8% saved)

prune26.0ms (0.6%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	168	2	170
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	168	9	177

Error

Counts

177 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	50.8b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓	51.2b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 2 (.f64 x (.f64 x -1/4))))
✓	51.4b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) 2)
▶	51.2b	(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) (+.f64 2 (.f64 x (.f64 x -1/4))))
▶	51.4b	(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) 2)
✓	0.0b	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓	0.5b	(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
✓	59.0b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
	0.6b	x

Compiler

Compiled 108 to 81 computations (25% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.9b	(+.f64 (+.f64 1 x) -1)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`add-sqr-sqrt`
1598×	`*-un-lft-identity`
1494×	`add-cube-cbrt`
1484×	`add-cbrt-cube`
146×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	7
2	1920	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (+.f64 1 x) -1)

Outputs

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

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

886×	`distribute-lft-in`
864×	`*-commutative`
846×	`fma-def`
816×	`distribute-rgt-in`
766×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	479
1	268	407
2	1268	345
3	7474	339

Stop Event

1×	node limit

Counts

47 → 44

Calls

Call 1

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

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

localize17.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.9b	(+.f64 (+.f64 1 x) -1)

Compiler

Compiled 51 to 37 computations (27.5% saved)

eval36.0ms (0.9%)

Compiler: Compiled 1625 to 1260 computations (22.5% saved)

prune15.0ms (0.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	86	11	97

Error

Counts

97 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	51.2b	(/.f64 (+.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 -1 (+.f64 1 x)))) (+.f64 2 (.f64 x (.f64 x -1/4))))
	51.2b	(/.f64 (+.f64 x (-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))) (+.f64 2 (.f64 x (.f64 x -1/4))))
✓	50.8b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓	51.2b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 2 (.f64 x (.f64 x -1/4))))
✓	51.4b	(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) 2)
✓	51.2b	(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) (+.f64 2 (.f64 x (.f64 x -1/4))))
✓	51.4b	(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) 2)
✓	0.0b	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓	0.5b	(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
✓	59.0b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
	0.6b	x

Compiler

Compiled 158 to 120 computations (24.1% saved)

regimes15.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
x
(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) 2)
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) 2)
(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) (+.f64 2 (.f64 x (.f64 x -1/4))))
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 2 (.f64 x (.f64 x -1/4))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 (+.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 -1 (+.f64 1 x)))) (+.f64 2 (.f64 x (.f64 x -1/4))))
(/.f64 (+.f64 x (-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))) (+.f64 2 (.f64 x (.f64 x -1/4))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))

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

Calls

2 calls:

6.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Results

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

Compiler

Compiled 167 to 123 computations (26.3% saved)

regimes11.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
x
(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) 2)
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) 2)
(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) (+.f64 2 (.f64 x (.f64 x -1/4))))
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 2 (.f64 x (.f64 x -1/4))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 (+.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 -1 (+.f64 1 x)))) (+.f64 2 (.f64 x (.f64 x -1/4))))
(/.f64 (+.f64 x (-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))) (+.f64 2 (.f64 x (.f64 x -1/4))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Outputs
(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))

Calls

2 calls:

6.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))`

Compiler

Compiled 137 to 102 computations (25.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -50.8b remaining (-8038.2%)

Threshold costs -50.8b (-8038.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`*-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	27	71
2	31	71
3	33	71
4	34	71

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
x

Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
x

Compiler

Compiled 28 to 19 computations (32.1% saved)

soundness75.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1664×	`associate-*r/`
1070×	`+-commutative`
830×	`associate--r+`
792×	`associate-+l-`
700×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	8574
1	1074	8080
2	4801	8048

Stop Event

1×	node limit

Compiler

Compiled 72 to 48 computations (33.3% saved)

end21.0ms (0.5%)

Compiler: Compiled 26 to 16 computations (38.5% saved)

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27
0	1	1

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27
0	1	1

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27

Details

analyze0.0ms (0%)

sample1.8s (43.1%)

preprocess12.0ms (0.3%)

simplify18.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series6.0ms (0.2%)

rewrite72.0ms (1.7%)

simplify94.0ms (2.3%)

eval111.0ms (2.7%)

prune30.0ms (0.7%)

localize7.0ms (0.2%)

localize16.0ms (0.4%)

series3.0ms (0.1%)

rewrite99.0ms (2.4%)

simplify135.0ms (3.3%)

localize20.0ms (0.5%)

series3.0ms (0.1%)

rewrite102.0ms (2.5%)

simplify102.0ms (2.5%)

eval746.0ms (18%)

prune330.0ms (8%)

localize14.0ms (0.3%)

localize10.0ms (0.2%)

localize19.0ms (0.5%)

eval59.0ms (1.4%)

prune26.0ms (0.6%)

localize9.0ms (0.2%)

series0.0ms (0%)

rewrite48.0ms (1.2%)

simplify58.0ms (1.4%)

localize17.0ms (0.4%)

eval36.0ms (0.9%)

prune15.0ms (0.4%)

regimes15.0ms (0.4%)

regimes11.0ms (0.3%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness75.0ms (1.8%)

end21.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27
0	1	1

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27