Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample792.0ms (38.3%)

Results

781.0ms

8256×

body

256

valid

Bogosity

preprocess8.0ms (0.4%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(acosh.f64 x)

Outputs
(acosh.f64 x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify145.0ms (7%)

Algorithm

1×	egg-herbie

Rules

1316×	`fma-neg`
1074×	`+-commutative`
1010×	`*-commutative`
776×	`distribute-neg-in`
746×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	84	23
5	177	23
6	348	23
7	794	23
8	3311	23
9	4904	23
10	6285	23
11	7231	23
12	7581	23
13	7779	23
14	7887	23

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

47.66%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.66%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.01%	(-.f64 (*.f64 x x) 1)
✓	0.01%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	44.42%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series4.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite99.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`*-commutative`
846×	`associate-*r/`
664×	`associate-*l/`
634×	`distribute-lft-in`
612×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	64
1	213	64
2	2863	64

Stop Event

1×	node limit

Counts

4 → 250

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x 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simplify179.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

782×	`associate-r`
660×	`fma-def`
660×	`associate-l`
576×	`associate-/l*`
544×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	11578
1	1767	10740
2	7737	10740

Stop Event

1×	node limit

Counts

298 → 437

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
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(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (*.f64 x x) -1)
(+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))
(+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(+.f64 -1 (*.f64 x x))
(+.f64 (.f64 (+.f64 x 1) x) (.f64 (+.f64 x 1) -1))
(+.f64 (*.f64 (+.f64 x -1) x) (+.f64 x -1))
(+.f64 (*.f64 x (+.f64 x 1)) (neg.f64 (+.f64 x 1)))
(+.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(.f64 (pow.f64 (fma.f64 x x -1) 1/4) (.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))
(.f64 (cbrt.f64 (fma.f64 x x -1)) (.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4))
(.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (/.f64 1 (fma.f64 x x 1)) (+.f64 (pow.f64 x 4) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (+.f64 -1 (pow.f64 x 6)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) (-.f64 1 (pow.f64 x 4))) (-.f64 1 (.f64 x x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) (+.f64 1 (pow.f64 x 6))) (+.f64 1 (-.f64 (pow.f64 x 4) (.f64 x x))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (-.f64 (.f64 (.f64 x x) (pow.f64 x 6)) (.f64 (fma.f64 x x 1) (fma.f64 x x 1)))) (-.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (fma.f64 x x 1) 3))) (+.f64 (.f64 (.f64 x x) (pow.f64 x 6)) (.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) (pow.f64 x 4)))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (fma.f64 x x -1))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2)))
(.f64 (.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) (*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x -1) 1/2)))
(/.f64 1 (/.f64 1 (fma.f64 x x -1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) (+.f64 -1 (pow.f64 x 6))))
(/.f64 (fma.f64 x x -1) 1)
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (fma.f64 x x 1) (/.f64 (fma.f64 x x 1) (fma.f64 x x -1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (-.f64 (+.f64 1 (pow.f64 x 4)) (.f64 (.f64 x x) -1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 (-.f64 (+.f64 1 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (/.f64 (fma.f64 x x 1) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (/.f64 (-.f64 (+.f64 1 (pow.f64 x 4)) (.f64 (*.f64 x x) -1)) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (/.f64 (fma.f64 x x 1) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x 1)) (+.f64 x 1))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x -1)) (+.f64 x -1))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1) (.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 1 (pow.f64 x 6))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1) (.f64 (-.f64 (+.f64 1 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) (+.f64 1 (pow.f64 x 6))))
(/.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 x 6)) 1) (*.f64 (fma.f64 x x 1) (+.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) 1) (.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (+.f64 1 (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) 1) (.f64 (-.f64 (+.f64 1 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (+.f64 1 (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) 1) (.f64 (fma.f64 x x 1) (+.f64 (.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 4)) 1) (neg.f64 (fma.f64 x x 1)))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 6)) 1) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (+.f64 x 1) (-.f64 (pow.f64 x 3) 1)) (+.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 4)) 1) 1) (neg.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 6)) 1) 1) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x -1)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) 1) (+.f64 x 1)) (+.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) (pow.f64 x 6)) 1) (/.f64 1 (fma.f64 x x 1))) (+.f64 1 (pow.f64 x 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) 1) (/.f64 1 (fma.f64 x x 1))) (+.f64 (.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 1 (pow.f64 x 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) 1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (+.f64 1 (pow.f64 x 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) 1) (fma.f64 x x 1))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (fma.f64 x x 1)))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) (neg.f64 (fma.f64 x x 1))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (*.f64 (log.f64 x) 2))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -1)
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(-.f64 (log.f64 (+.f64 1 (*.f64 x (-.f64 x x)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (*.f64 x (-.f64 x x))))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))

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

eval177.0ms (8.5%)

Compiler: Compiled 9034 to 6454 computations (28.6% saved)

prune70.0ms (3.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	434	3	437
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	434	4	438

Error

Counts

438 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.66%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))
▶	0.6%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	47.66%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	0.76%	(log.f64 (+.f64 x x))

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize5.0ms (0.2%)

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

localize11.0ms (0.6%)

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

localize17.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))
✓	44.42%	(sqrt.f64 (fma.f64 x x -1))

Compiler

Compiled 34 to 22 computations (35.3% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`associate-*r/`
948×	`*-commutative`
804×	`distribute-lft-in`
774×	`distribute-rgt-in`
732×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	216	38
2	2855	38

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

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

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simplify105.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-*r/`
1284×	`associate-+r+`
1032×	`associate-*l/`
912×	`+-commutative`
518×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	349	7522
1	997	7278
2	4276	7278

Stop Event

1×	node limit

Counts

134 → 246

Calls

Call 1

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

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

eval159.0ms (7.7%)

Compiler: Compiled 6450 to 4831 computations (25.1% saved)

prune56.0ms (2.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	245	1	246
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	245	5	250

Error

Counts

250 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.66%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))
▶	100%	(log1p.f64 -1)
✓	0.6%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	47.66%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.76%	(log.f64 (+.f64 x x))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize2.0ms (0.1%)

Compiler: Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

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

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.66%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))
✓	100%	(log1p.f64 -1)
✓	0.6%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	47.66%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.76%	(log.f64 (+.f64 x x))

Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes14.0ms (0.7%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
0.6%	1	`x`
0.6%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0.6%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 55 to 38 computations (30.9% saved)

regimes4.0ms (0.2%)

Accuracy

Total -63.5b remaining (-13012.7%)

Threshold costs -63.5b (-13012.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(log1p.f64 -1)
(log.f64 (+.f64 x x))

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.76%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
4×	`*-commutative`
2×	`neg-mul-1`
2×	`distribute-neg-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	17	39
2	24	39
3	26	39
4	27	39

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness98.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

782×	`associate-r`
660×	`fma-def`
660×	`associate-l`
576×	`associate-/l*`
544×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	11578
1	1767	10740
2	7737	10740

Stop Event

1×	node limit

Compiler

Compiled 39 to 31 computations (20.5% saved)

end20.0ms (1%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

Details

analyze0.0ms (0%)

sample792.0ms (38.3%)

preprocess8.0ms (0.4%)

simplify145.0ms (7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.6%)

series4.0ms (0.2%)

rewrite99.0ms (4.8%)

simplify179.0ms (8.6%)

eval177.0ms (8.5%)

prune70.0ms (3.4%)

localize5.0ms (0.2%)

localize11.0ms (0.6%)

localize17.0ms (0.8%)

series1.0ms (0.1%)

rewrite80.0ms (3.9%)

simplify105.0ms (5.1%)

eval159.0ms (7.7%)

prune56.0ms (2.7%)

localize2.0ms (0.1%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes14.0ms (0.7%)

regimes4.0ms (0.2%)

simplify6.0ms (0.3%)

soundness98.0ms (4.7%)

end20.0ms (1%)

Profiling