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)

sample1.4s (15.3%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess8.0ms (0.1%)

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)

simplify267.0ms (2.9%)

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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

55.5%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	55.5%	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
▶	55.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	100.0%	(-.f64 (*.f64 x x) 1)
✓	58.4%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	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))))
1.0ms	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))

rewrite168.0ms (1.8%)

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	45
1	213	45
2	2863	45

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

Inputs
(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 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x 1) x) (.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x -1) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x 1)) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -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) (.f64 (sqrt.f64 (fma.f64 x x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 4)) (.f64 (.f64 x x) -1)) (+.f64 -1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x 1) (/.f64 (fma.f64 x x 1) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 6)) (-.f64 (+.f64 1 (pow.f64 x 4)) (.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 (-.f64 (+.f64 1 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Outputs

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egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -1)))))

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

simplify213.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-*r/`
1166×	`associate-*l/`
878×	`associate-+r+`
878×	`associate-+l+`
872×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	7059
1	1187	6589
2	4712	6553

Stop Event

1×	node limit

Counts

207 → 322

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))))
-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))))
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(+.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 (.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (sqrt.f64 -1) (+.f64 (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 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.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 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 (-.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 -1/2 x) (-.f64 x (+.f64 (/.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 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x)))
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (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))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (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)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4)))) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 -1/2)))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (log.f64 -1/2)))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -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 (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 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.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)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.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))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.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))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.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))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.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 (pow.f64 x 4) (fma.f64 x x 1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(/.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)))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
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(*.f64 2 (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 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.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))
(*.f64 2 (log.f64 (sqrt.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 (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 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)
(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 x (+.f64 -1 (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))

localize25.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓	58.4%	(sqrt.f64 (fma.f64 x x -1))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite119.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`add-sqr-sqrt`
1966×	`*-un-lft-identity`
1826×	`add-cube-cbrt`
1808×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	200	36
2	2461	36

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1464×	`associate-r`
1146×	`associate-l`
1016×	`associate-+l-`
956×	`+-commutative`
716×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2002
1	450	1908
2	1586	1854
3	7009	1854

Stop Event

1×	node limit

Counts

68 → 132

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))))
(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))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 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))
(*.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 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/2) (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))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (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))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.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 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.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 (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 (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))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.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))))))
(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))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log1p.f64 (-.f64 (+.f64 x (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))
(fma.f64 1/2 (*.f64 (/.f64 x (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))))
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (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 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (+.f64 (/.f64 (.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)) (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1))))
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 (+.f64 x (/.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 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 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (/.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)))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (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))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (/.f64 x (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)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6)))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6))) (log.f64 x))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 -1/2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2))))
(+.f64 (log.f64 -1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (log.f64 -1/2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (log.f64 -1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))))
(-.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 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 (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 (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))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 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 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))))))
(*.f64 3 (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 2 (log.f64 (sqrt.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 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.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 (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (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 (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 (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 (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))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(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))
(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))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (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 x -1)))
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))

eval438.0ms (4.7%)

Compiler: Compiled 8255 to 6132 computations (25.7% saved)

prune105.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	450	4	454
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	451	5	456

Error

100.0%

Counts

456 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.0%	(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))
▶	99.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	55.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	55.5%	(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
▶	99.3%	(log.f64 (+.f64 x x))

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize8.0ms (0.1%)

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

localize33.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
✓	58.4%	(sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))

Compiler

Compiled 46 to 33 computations (28.3% saved)

series30.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
0.0ms	x	@	0	(sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
0.0ms	x	@	inf	(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
0.0ms	x	@	0	(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))

rewrite119.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`distribute-rgt-in`
1368×	`distribute-lft-in`
770×	`associate-/r*`
626×	`associate-/r/`
482×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	258	36
2	3488	36

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1602×	`associate-r`
1284×	`associate-l`
974×	`fma-def`
558×	`associate-/r*`
464×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	3024
1	619	2402
2	2330	2322

Stop Event

1×	node limit

Counts

82 → 140

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 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(-.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))))))
(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))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)) (+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2))) (.f64 3 (/.f64 1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 x 2)))))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 45 (/.f64 1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 30 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 3))))) (pow.f64 x 6))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)) (+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2))) (.f64 3 (/.f64 1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 x 2))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.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 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/2) (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))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (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))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -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 (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 (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 (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 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 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 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 (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 (.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 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.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 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (-.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))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.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))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 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))
(fma.f64 1/2 (*.f64 (/.f64 x (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))))
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (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 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (/.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)))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1))))
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 x (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.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 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
x
(-.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 x)))
(-.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 x (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))))))
(-.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 -1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (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))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (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)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1)))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1)) (/.f64 1/2 (.f64 (.f64 x x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1)))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 -2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)) (+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2))) (.f64 3 (/.f64 1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 x 2)))))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1))) (fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1) 2)) (/.f64 3 (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1)))) (pow.f64 x 4)) (/.f64 1/2 (.f64 (*.f64 x x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1)))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (/.f64 -1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 -2) (/.f64 -3/32 (pow.f64 x 4))) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 45 (/.f64 1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 30 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 3))))) (pow.f64 x 6))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)) (+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2))) (.f64 3 (/.f64 1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 x 2))))))))
(fma.f64 1/720 (/.f64 (+.f64 (/.f64 45 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1) 2))) (+.f64 (/.f64 45 (.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1))) (/.f64 30 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1) 3)))) (pow.f64 x 6)) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1))) (fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1) 2)) (/.f64 3 (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1)))) (pow.f64 x 4)) (/.f64 1/2 (.f64 (*.f64 x x) (+.f64 (pow.f64 (sqrt.f64 -1) 2) -1))))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) (/.f64 -5/96 (pow.f64 x 6))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (/.f64 -3/32 (pow.f64 x 4)) (/.f64 -5/96 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -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 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (hypot.f64 1 (sqrt.f64 x)))
(*.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 (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 (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))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 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 (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 (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 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 3 (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 2 (log.f64 (sqrt.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 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 3 (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 2 (log.f64 (sqrt.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))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 3 (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 2 (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 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 3 (log.f64 (cbrt.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))
(*.f64 2 (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 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 3 (log.f64 (cbrt.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 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.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 (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (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 (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 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.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 x (-.f64 (fma.f64 x x -1) (*.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 (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (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 (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))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 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)
(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))
(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))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 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)))

localize28.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(+.f64 x (-.f64 x (/.f64 1/2 x)))
✓	100.0%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite160.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`associate-*r/`
956×	`*-commutative`
956×	`associate-*l/`
762×	`distribute-lft-in`
582×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	204	42
2	2870	42

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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

simplify167.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1696×	`associate-*r/`
900×	`+-commutative`
568×	`associate--r+`
496×	`associate-+l-`
474×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	7208
1	1127	6192
2	4945	6136

Stop Event

1×	node limit

Counts

148 → 237

Calls

Call 1

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

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

localize47.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))
✓	99.8%	(pow.f64 (fma.f64 x x -1) 3/2)
✓	36.1%	(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)

Compiler

Compiled 44 to 31 computations (29.5% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
2.0ms	x	@	inf	(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
0.0ms	x	@	inf	(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))
0.0ms	x	@	-inf	(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
0.0ms	x	@	-inf	(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))

rewrite151.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`*-commutative`
852×	`unswap-sqr`
564×	`swap-sqr`
462×	`distribute-lft-in`
460×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	278	51
2	3258	51

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

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 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 x x)) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 1 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 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(fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (log.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (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))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (cbrt.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))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))))))

simplify155.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-/r*`
970×	`associate-/l*`
916×	`distribute-lft-in`
904×	`distribute-rgt-in`
618×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	5709
1	990	4539
2	3243	4507

Stop Event

1×	node limit

Counts

147 → 254

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 3/8 (sqrt.f64 -1)) (.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 3/8 (sqrt.f64 -1)) (.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (/.f64 (-.f64 (.f64 3/8 (sqrt.f64 -1)) (.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 2))))))
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) (.f64 -3/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))) (.f64 -3/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) (.f64 1/16 (.f64 (sqrt.f64 -1) (pow.f64 x 6))))))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(+.f64 (.f64 3/8 (/.f64 1 x)) (+.f64 (.f64 -3/2 x) (pow.f64 x 3)))
(+.f64 (.f64 3/8 (/.f64 1 x)) (+.f64 (.f64 -3/2 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3))))
(*.f64 -1 (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 3/2 x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 3/2 x)) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 3/2 x)) (+.f64 (.f64 3/8 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 3)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 5/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 1/2 (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/6 (/.f64 (-.f64 (.f64 2 (pow.f64 x 3)) (.f64 3 x)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3/2)
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 -1/6 (/.f64 (-.f64 (.f64 -3 x) (.f64 -2 (pow.f64 x 3))) (pow.f64 x 3))))) 3/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))
(.f64 (sqrt.f64 (fma.f64 x x -1)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 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))
(*.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 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (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 (pow.f64 1 1/2) (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 (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 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (sqrt.f64 (fma.f64 x x -1)))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))) (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))) (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12)))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12)) (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6)))
(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6)) (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/12) (pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/12))
(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (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))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (.f64 (sqrt.f64 (fma.f64 x x -1)) (.f64 x x)))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (.f64 (.f64 x x) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (.f64 x x)) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 3/2))) 1)
(*.f64 (fma.f64 x x -1) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 1 3/2))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))
(*.f64 1 (pow.f64 (fma.f64 x x -1) 3/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 3/4) (pow.f64 (fma.f64 x x -1) 3/4))
(.f64 (pow.f64 (fma.f64 x x -1) 1/4) (.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 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))))
(.f64 (.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(.f64 (.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 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 3))
(*.f64 (pow.f64 1 3/2) (pow.f64 (fma.f64 x x -1) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 3/2))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 3/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4))) (*.f64 (pow.f64 (fma.f64 x x -1) 3/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4))) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (pow.f64 (fma.f64 x x -1) 3/8)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (pow.f64 (fma.f64 x x -1) 3/8)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4) (pow.f64 (fma.f64 x x -1) 3/8)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4) (pow.f64 (fma.f64 x x -1) 3/8)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4)))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 3/8) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4)) (*.f64 (pow.f64 (fma.f64 x x -1) 3/8) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3) 1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 2) 3/8) (pow.f64 (pow.f64 (fma.f64 x x -1) 2) 3/8))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 (.f64 x (pow.f64 x 3)) 1)) (-.f64 (*.f64 x x) -1))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 x (pow.f64 x 3)) (-.f64 1 (.f64 -1 (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 x (pow.f64 x 3)) 1) (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) -1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (.f64 x x) 3)) (sqrt.f64 (fma.f64 x x -1))) (+.f64 (.f64 x (pow.f64 x 3)) (-.f64 1 (.f64 -1 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 3 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.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 0 (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)))
(+.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 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (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 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (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 (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 (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))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.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))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (cbrt.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))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/6))
(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 (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))
(fma.f64 -1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 3/8 (sqrt.f64 -1)) (.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (/.f64 (-.f64 (.f64 (sqrt.f64 -1) 3/8) (/.f64 3/4 (sqrt.f64 -1))) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 4))) (.f64 -1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.f64 1/3 (.f64 (/.f64 (fma.f64 (sqrt.f64 -1) 3/8 (/.f64 -3/4 (sqrt.f64 -1))) -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1)) (.f64 -1/3 (*.f64 (fma.f64 (sqrt.f64 -1) 3/8 (/.f64 -3/4 (sqrt.f64 -1))) (pow.f64 x 4))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 3/8 (sqrt.f64 -1)) (.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (/.f64 (-.f64 (.f64 3/8 (sqrt.f64 -1)) (.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (/.f64 (-.f64 (.f64 (sqrt.f64 -1) 3/8) (/.f64 3/4 (sqrt.f64 -1))) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 4))) (fma.f64 -1/2 (/.f64 (.f64 x x) (sqrt.f64 -1)) (.f64 1/3 (/.f64 (-.f64 (fma.f64 1/16 (sqrt.f64 -1) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3))) (neg.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 -1) 3/8) (/.f64 3/4 (sqrt.f64 -1))) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 6)))))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 (sqrt.f64 -1) 3/8 (/.f64 -3/4 (sqrt.f64 -1))) -1) (pow.f64 x 4)) (fma.f64 -1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.f64 1/3 (*.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 -1) 1/16 (/.f64 -1/8 (sqrt.f64 -1))) (/.f64 (fma.f64 (sqrt.f64 -1) 3/8 (/.f64 -3/4 (sqrt.f64 -1))) -1)) -1) (pow.f64 x 6))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 -1/2 (.f64 (/.f64 x (sqrt.f64 -1)) x) (.f64 -1/3 (.f64 (fma.f64 (sqrt.f64 -1) 3/8 (/.f64 -3/4 (sqrt.f64 -1))) (pow.f64 x 4)))) (.f64 -1/3 (.f64 (+.f64 (fma.f64 (sqrt.f64 -1) 1/16 (/.f64 -1/8 (sqrt.f64 -1))) (-.f64 (.f64 -3/8 (sqrt.f64 -1)) (/.f64 -3/4 (sqrt.f64 -1)))) (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 x (+.f64 (/.f64 -1/2 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 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(*.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 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) 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 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 -3/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (sqrt.f64 -1) (.f64 (.f64 -3/2 (sqrt.f64 -1)) (*.f64 x x)))
(fma.f64 -3/2 (.f64 (sqrt.f64 -1) (.f64 x x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))) (.f64 -3/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (fma.f64 3/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4)) (.f64 (.f64 -3/2 (sqrt.f64 -1)) (.f64 x x))))
(+.f64 (sqrt.f64 -1) (fma.f64 (.f64 (sqrt.f64 -1) 3/8) (pow.f64 x 4) (.f64 (sqrt.f64 -1) (.f64 (.f64 x x) -3/2))))
(+.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 -1) (.f64 x x)) (sqrt.f64 -1)) (.f64 (.f64 (sqrt.f64 -1) 3/8) (pow.f64 x 4)))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) (.f64 1/16 (.f64 (sqrt.f64 -1) (pow.f64 x 6))))))
(+.f64 (sqrt.f64 -1) (fma.f64 3/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4)) (fma.f64 -3/2 (.f64 (sqrt.f64 -1) (.f64 x x)) (.f64 (*.f64 (sqrt.f64 -1) 1/16) (pow.f64 x 6)))))
(+.f64 (sqrt.f64 -1) (fma.f64 3/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4)) (fma.f64 (.f64 (sqrt.f64 -1) 1/16) (pow.f64 x 6) (.f64 (sqrt.f64 -1) (.f64 (*.f64 x x) -3/2)))))
(+.f64 (sqrt.f64 -1) (fma.f64 3/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4)) (fma.f64 1/16 (.f64 (sqrt.f64 -1) (pow.f64 x 6)) (.f64 (sqrt.f64 -1) (.f64 (*.f64 x x) -3/2)))))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(fma.f64 -3/2 x (pow.f64 x 3))
(fma.f64 x -3/2 (pow.f64 x 3))
(+.f64 (.f64 3/8 (/.f64 1 x)) (+.f64 (.f64 -3/2 x) (pow.f64 x 3)))
(+.f64 (fma.f64 -3/2 x (pow.f64 x 3)) (/.f64 3/8 x))
(+.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 3/8 x))
(+.f64 (.f64 3/8 (/.f64 1 x)) (+.f64 (.f64 -3/2 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3))))
(+.f64 (/.f64 3/8 x) (fma.f64 -3/2 x (+.f64 (pow.f64 x 3) (/.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 3/8 x) (+.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 3))))
(+.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (+.f64 (/.f64 3/8 x) (/.f64 1/16 (pow.f64 x 3))))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 3/2 x))
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(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 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 x -1)))
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))

eval406.0ms (4.4%)

Compiler: Compiled 13439 to 9630 computations (28.3% saved)

prune167.0ms (1.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	627	4	631
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	628	8	636

Error

100.0%

Counts

636 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.2%	(+.f64 1/2 (log.f64 x))
▶	99.6%	(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
▶	99.6%	(log.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x)))))
✓	99.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	55.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	55.5%	(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
✓	99.3%	(log.f64 (+.f64 x x))
▶	31.3%	(log.f64 x)

Compiler

Compiled 81 to 56 computations (30.9% saved)

localize5.0ms (0.1%)

Compiler: Compiled 4 to 2 computations (50% saved)

localize56.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	100.0%	(log.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x)))))
✓	100.0%	(/.f64 x (+.f64 x (/.f64 1/2 x)))
✓	99.9%	(/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x)))
✓	99.8%	(/.f64 (/.f64 1/4 x) x)

Compiler

Compiled 93 to 56 computations (39.8% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x)))
1.0ms	x	@	0	(log.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x)))))
0.0ms	x	@	inf	(log.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x)))))
0.0ms	x	@	0	(/.f64 (/.f64 1/4 x) x)
0.0ms	x	@	inf	(/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x)))

rewrite202.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`distribute-rgt-in`
1164×	`distribute-lft-in`
372×	`add-sqr-sqrt`
362×	`pow1`
362×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	130
1	363	130
2	5328	130

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/4 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 1 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 1/4 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/2 x)) (.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 x)) (.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 2) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (.f64 (cbrt.f64 (/.f64 1/4 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/4 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/2 x) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/2 x) 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1/4 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 (sqrt.f64 x)) 1) (/.f64 (/.f64 1/2 (sqrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1/2 (sqrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 1/4 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1/4 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1/4 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1/4 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1/4 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 1/4 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/4 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1/4 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1/4 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1/4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1/4 x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) (.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (fma.f64 x x (/.f64 (/.f64 -1/4 x) x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) (.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (fma.f64 x x (/.f64 (/.f64 -1/4 x) x))) (fma.f64 (neg.f64 (/.f64 1/2 x)) 1 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) (.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (fma.f64 x x (/.f64 (/.f64 -1/4 x) x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) (.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (fma.f64 x x (/.f64 (/.f64 -1/4 x) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 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simplify318.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-l`
1032×	`associate-r`
864×	`+-commutative`
774×	`fma-def`
764×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	11056
1	1687	10400
2	7549	10400

Stop Event

1×	node limit

Counts

246 → 340

Calls

Call 1

Inputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/2 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -4 (pow.f64 x 5)))))
(/.f64 1/4 (pow.f64 x 3))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 7))) (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 7))) (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 9))) (.f64 1/8 (/.f64 1 (pow.f64 x 5)))))
(/.f64 1/4 (pow.f64 x 3))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 7))) (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 7))) (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 9))) (.f64 1/8 (/.f64 1 (pow.f64 x 5)))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -4 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 (.f64 -16 (pow.f64 x 8)) (.f64 8 (pow.f64 x 6)))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 6)))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(+.f64 (.f64 (-.f64 x (/.f64 1/2 x)) (/.f64 x (fma.f64 x x (/.f64 (/.f64 -1/4 x) x)))) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (/.f64 x (fma.f64 x x (/.f64 (/.f64 -1/4 x) x)))))
(+.f64 (.f64 (.f64 x x) (/.f64 x (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (.f64 (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) (/.f64 x (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(+.f64 (.f64 (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) (/.f64 x (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (.f64 (.f64 x x) (/.f64 x (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))))) 1)
(*.f64 x (/.f64 1 (+.f64 x (/.f64 1/2 x))))
(*.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(*.f64 1 (/.f64 x (+.f64 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 1/2 x))) x)
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (/.f64 x (sqrt.f64 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (/.f64 x (fma.f64 x x (/.f64 (/.f64 -1/4 x) x))) (-.f64 x (/.f64 1/2 x)))
(.f64 (/.f64 x (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (/.f64 1/2 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (/.f64 1/2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(pow.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x) -1)
(neg.f64 (/.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 0)
(+.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 2)))
(+.f64 0 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))))) (log.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 2))) (log.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) 1))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) 2) (pow.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) 2))) (log.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) 3) (pow.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) 3))) (log.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) 2) (*.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) (+.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) 2) (pow.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) 2)))) (log.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) 3) (pow.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) 3)))) (log.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) 2) (*.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) (+.f64 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x))) (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))))) 1)
(*.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 1)
(*.f64 1 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) (sqrt.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) 2) (cbrt.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))))
(pow.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))))
(exp.f64 (log.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))) 1))
(log1p.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (-.f64 (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x))) 1)))

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

localize44.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
✓	100.0%	(/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
✓	99.7%	(/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))

Compiler

Compiled 49 to 29 computations (40.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite261.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`*-commutative`
760×	`associate-/r*`
516×	`associate-/r/`
514×	`distribute-lft-in`
436×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	270	25
2	3743	25

Stop Event

1×	node limit

Counts

3 → 717

Calls

Call 1

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

Outputs

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

simplify163.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

374×	`*-commutative`
352×	`+-commutative`
220×	`sub-neg`
188×	`associate-*l/`
120×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	859	781
1	3221	781

Stop Event

1×

unsound

Counts

753 → 433

Calls

Call 1

Inputs
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 -8 (pow.f64 x 3)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 -32 (pow.f64 x 5)) (*.f64 -8 (pow.f64 x 3))))
(+.f64 (.f64 -128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 -32 (pow.f64 x 5)) (.f64 -8 (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 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/128 (/.f64 1 (pow.f64 x 7))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 x x)
(+.f64 x (+.f64 x (+.f64 x x)))
(+.f64 x (+.f64 (+.f64 x (+.f64 x x)) (+.f64 x x)))
(+.f64 x (+.f64 x (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 x (+.f64 (+.f64 x (+.f64 x x)) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 x (+.f64 x (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 x (+.f64 (+.f64 x (+.f64 x x)) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 x (-.f64 x (+.f64 x x)))
(+.f64 x (-.f64 (+.f64 x (+.f64 x x)) (+.f64 x x)))
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (+.f64 x x) (fma.f64 (+.f64 x x) 1 (+.f64 x x)))
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 x) 2 (+.f64 x x)))
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x x) (-.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (+.f64 x x)))
(+.f64 (+.f64 x x) (-.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (+.f64 x x)))
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 x (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 x (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 (+.f64 x (+.f64 x x)) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 (+.f64 x (+.f64 x x)) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 -1 (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 -1 (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 (/.f64 1 x) (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 1 (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 1 (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 1/2 (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 1/2 (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 -1/2 (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 -1/2 (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (+.f64 x x)))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (+.f64 x x)))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) x))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) x))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (+.f64 x (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (+.f64 x (+.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) -1))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) -1))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (/.f64 1 x)))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (/.f64 1 x)))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) 1))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) 1))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) 1/2))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) 1/2))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) -1/2))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) -1/2))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (.f64 x x) (.f64 x (+.f64 x (+.f64 x x))))
(+.f64 (+.f64 x (+.f64 x x)) x)
(+.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x)))
(+.f64 (+.f64 x (+.f64 x x)) (+.f64 x (fma.f64 (+.f64 x x) 1 (+.f64 x x))))
(+.f64 (+.f64 x (+.f64 x x)) (+.f64 x (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (+.f64 x (+.f64 x x)) (-.f64 x (+.f64 x x)))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 (+.f64 x (+.f64 x x))))
(+.f64 (neg.f64 x) (*.f64 -1 (+.f64 x (+.f64 x x))))
(+.f64 (neg.f64 x) (*.f64 (+.f64 x (+.f64 x x)) -1))
(+.f64 (.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (.f64 x (+.f64 x (+.f64 x x))))
(+.f64 (neg.f64 (+.f64 x (+.f64 x x))) (neg.f64 x))
(+.f64 (neg.f64 (+.f64 x (+.f64 x x))) (+.f64 (neg.f64 x) (+.f64 x x)))
(+.f64 (.f64 x (+.f64 x (+.f64 x x))) (.f64 x x))
(+.f64 (.f64 x (+.f64 x (+.f64 x x))) (.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))))
(+.f64 (.f64 x (+.f64 x (+.f64 x x))) (.f64 x (+.f64 x (+.f64 x x))))
(+.f64 (fma.f64 (+.f64 x x) 1 (+.f64 x x)) (+.f64 x x))
(+.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (+.f64 x x))
(+.f64 (+.f64 (+.f64 x x) (neg.f64 (+.f64 x (+.f64 x x)))) (neg.f64 x))
(+.f64 (+.f64 (+.f64 x x) (+.f64 x (+.f64 x x))) x)
(+.f64 (-.f64 (+.f64 x x) (exp.f64 (log1p.f64 (+.f64 x x)))) 1)
(+.f64 (-.f64 (+.f64 x x) (-.f64 (+.f64 x x) x)) x)
(+.f64 (-.f64 (+.f64 x x) (/.f64 x (/.f64 0 x))) (/.f64 x (/.f64 0 x)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (+.f64 x x)))) 1)
(+.f64 (-.f64 0 (-.f64 (+.f64 x x) x)) x)
(+.f64 (-.f64 0 (/.f64 x (/.f64 0 x))) (/.f64 x (/.f64 0 x)))
(+.f64 (-.f64 (-.f64 (+.f64 x x) x) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (*.f64 (+.f64 x x) (neg.f64 (+.f64 x (+.f64 x x)))) (+.f64 x x))
(+.f64 (*.f64 1 (neg.f64 (+.f64 x (+.f64 x x)))) (neg.f64 x))
(+.f64 (*.f64 -1 (+.f64 x (+.f64 x x))) (neg.f64 x))
(+.f64 (.f64 (/.f64 1 x) x) (.f64 (/.f64 1 x) x))
(+.f64 (.f64 (/.f64 1 x) x) (.f64 (/.f64 1 x) (+.f64 x (+.f64 x x))))
(+.f64 (.f64 (/.f64 1 x) (+.f64 x (+.f64 x x))) (.f64 (/.f64 1 x) x))
(+.f64 (.f64 -1 (neg.f64 (+.f64 x (+.f64 x x)))) (.f64 -1 (neg.f64 x)))
(+.f64 (.f64 1/2 x) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 1/2 (+.f64 x (+.f64 x x))))
(+.f64 (.f64 1/2 (+.f64 x (+.f64 x x))) (.f64 1/2 x))
(+.f64 (.f64 -1/2 x) (.f64 -1/2 x))
(+.f64 (.f64 -1/2 x) (.f64 -1/2 (+.f64 x (+.f64 x x))))
(+.f64 (.f64 -1/2 (+.f64 x (+.f64 x x))) (.f64 -1/2 x))
(+.f64 (*.f64 (neg.f64 (+.f64 x (+.f64 x x))) (+.f64 x x)) (+.f64 x x))
(+.f64 (*.f64 (neg.f64 (+.f64 x (+.f64 x x))) 1) (neg.f64 x))
(+.f64 (*.f64 (+.f64 x (+.f64 x x)) -1) (neg.f64 x))
(+.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x)))
(+.f64 (.f64 x (/.f64 1 x)) (.f64 (+.f64 x (+.f64 x x)) (/.f64 1 x)))
(+.f64 (.f64 (+.f64 x (+.f64 x x)) (/.f64 1 x)) (.f64 x (/.f64 1 x)))
(+.f64 (.f64 (neg.f64 (+.f64 x (+.f64 x x))) -1) (.f64 (neg.f64 x) -1))
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(.f64 (/.f64 (+.f64 x x) (-.f64 (.f64 -1/2 (fma.f64 x x 0)) (.f64 x (.f64 2 (pow.f64 x 3))))) (+.f64 0 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 x x) (-.f64 0 (.f64 0 (neg.f64 x)))) (*.f64 0 (neg.f64 x)))
(.f64 (/.f64 (+.f64 x x) (-.f64 (.f64 (fma.f64 x x 0) 1/2) (.f64 (.f64 2 (pow.f64 x 3)) (neg.f64 x)))) (*.f64 (fma.f64 x x 0) (neg.f64 x)))
(.f64 (/.f64 (+.f64 x x) (.f64 0 (.f64 2 (pow.f64 x 3)))) (.f64 0 (fma.f64 x x 0)))
(.f64 (/.f64 (+.f64 x x) (.f64 -1/2 (*.f64 2 (pow.f64 x 3)))) (+.f64 0 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 x x) (.f64 (.f64 2 (pow.f64 x 3)) 1/2)) (.f64 (fma.f64 x x 0) (neg.f64 x)))
(.f64 (/.f64 (+.f64 x x) (neg.f64 (.f64 2 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x 0)))
(.f64 (/.f64 (+.f64 x x) (pow.f64 (.f64 2 (pow.f64 x 3)) 3)) (pow.f64 (fma.f64 x x 0) 3))
(.f64 (/.f64 (.f64 2 (pow.f64 x 3)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 0)) (-.f64 (.f64 x x) 0))
(.f64 (/.f64 (.f64 2 (pow.f64 x 3)) (+.f64 0 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 0 (.f64 (.f64 x x) 0))))
(.f64 (/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 0)) (-.f64 (*.f64 x x) 0))
(.f64 (/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (+.f64 0 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 0 (.f64 (*.f64 x x) 0))))
(.f64 (/.f64 (fma.f64 x x 0) (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (-.f64 (pow.f64 x 3) (pow.f64 x 3)))
(.f64 (/.f64 (fma.f64 x x 0) (.f64 2 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(*.f64 (/.f64 -1 (sqrt.f64 -1)) (+.f64 x x))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 2 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x 0)))
(*.f64 (/.f64 -1 (sqrt.f64 0)) (sqrt.f64 0))
(.f64 (/.f64 -1 (cbrt.f64 (.f64 2 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x 0)))
(.f64 (/.f64 -1 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3)))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(.f64 (/.f64 -1 (.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (fma.f64 x x 0))
(.f64 (/.f64 -1 (-.f64 (.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (*.f64 x x))) (+.f64 (+.f64 x x) 0))
(.f64 (/.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 x x)) 3))) (+.f64 (.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (-.f64 (.f64 x x) (.f64 x (+.f64 x (+.f64 x x))))))
(.f64 (/.f64 -1 (+.f64 0 (.f64 0 (neg.f64 x)))) (*.f64 0 (neg.f64 x)))
(.f64 (/.f64 -1 (+.f64 (fma.f64 x x 0) (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))))) (.f64 2 (pow.f64 x 3)))
(.f64 (/.f64 -1 (+.f64 (.f64 -1/2 (fma.f64 x x 0)) (.f64 x (.f64 2 (pow.f64 x 3))))) (+.f64 0 (pow.f64 x 3)))
(.f64 (/.f64 -1 (+.f64 (.f64 (fma.f64 x x 0) 1/2) (.f64 (.f64 2 (pow.f64 x 3)) (neg.f64 x)))) (*.f64 (fma.f64 x x 0) (neg.f64 x)))
(.f64 (/.f64 -1 (-.f64 (fma.f64 x x 0) (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))))) (.f64 2 (pow.f64 x 3)))
(.f64 (/.f64 -1 (-.f64 (.f64 -1/2 (fma.f64 x x 0)) (.f64 x (.f64 2 (pow.f64 x 3))))) (+.f64 0 (pow.f64 x 3)))
(.f64 (/.f64 -1 (-.f64 0 (.f64 0 (neg.f64 x)))) (*.f64 0 (neg.f64 x)))
(.f64 (/.f64 -1 (-.f64 (.f64 (fma.f64 x x 0) 1/2) (.f64 (.f64 2 (pow.f64 x 3)) (neg.f64 x)))) (*.f64 (fma.f64 x x 0) (neg.f64 x)))
(.f64 (/.f64 -1 (.f64 0 (.f64 2 (pow.f64 x 3)))) (.f64 0 (fma.f64 x x 0)))
(.f64 (/.f64 -1 (.f64 -1/2 (*.f64 2 (pow.f64 x 3)))) (+.f64 0 (pow.f64 x 3)))
(.f64 (/.f64 -1 (.f64 (.f64 2 (pow.f64 x 3)) 1/2)) (.f64 (fma.f64 x x 0) (neg.f64 x)))
(.f64 (/.f64 -1 (neg.f64 (.f64 2 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x 0)))
(.f64 (/.f64 -1 (pow.f64 (.f64 2 (pow.f64 x 3)) 3)) (pow.f64 (fma.f64 x x 0) 3))
(*.f64 (/.f64 1 (/.f64 -1/2 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) -1/2) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (cbrt.f64 x))
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) -1/2)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) -1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) -2)
(pow.f64 (+.f64 x x) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2)) (cbrt.f64 (log.f64 (+.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x x)))) (sqrt.f64 (log.f64 (+.f64 x x))))
(neg.f64 (+.f64 x x))
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (exp.f64 (+.f64 x x)))
(log.f64 (/.f64 1 (exp.f64 (+.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
(log.f64 (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (+.f64 x x) (+.f64 x x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 3))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 1 x x)
(fma.f64 1 (+.f64 x x) (+.f64 x x))
(fma.f64 -1/2 (/.f64 1 x) (+.f64 x x))
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 2 x (+.f64 x x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (+.f64 x x))))
(+.f64 (log.f64 -1/2) (*.f64 1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (*.f64 (log.f64 (/.f64 1 x)) 1))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1/2))
(+.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 2)) (log.f64 x))
(+.f64 (+.f64 (log.f64 2) 0) (log.f64 x))
(+.f64 (+.f64 (log.f64 2) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (+.f64 (log.f64 2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (+.f64 0 (log.f64 2)) (log.f64 x))
(+.f64 (+.f64 0 (log.f64 -1/2)) (log.f64 (/.f64 1 x)))
(+.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 -1/2)) (log.f64 (/.f64 1 x)))
(+.f64 (-.f64 (log.f64 (+.f64 x x)) 0) (log.f64 (+.f64 x x)))
(+.f64 (-.f64 (log.f64 (+.f64 x x)) (log.f64 -1)) (log.f64 (+.f64 x x)))
(+.f64 (-.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(+.f64 (-.f64 (log.f64 (+.f64 x x)) (log.f64 0)) (log.f64 0))
(+.f64 (-.f64 (log.f64 (+.f64 x x)) (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
(+.f64 (-.f64 0 (log.f64 -1)) (log.f64 (+.f64 x x)))
(+.f64 (-.f64 0 (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(+.f64 (-.f64 0 (log.f64 0)) (log.f64 0))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
(+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (log.f64 x)))
(+.f64 (.f64 (log.f64 2) -1) (.f64 (log.f64 x) -1))
(-.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 1/2) (-.f64 (log.f64 (neg.f64 x)) (log.f64 (+.f64 x x))))
(-.f64 0 (log.f64 (+.f64 x x)))
(-.f64 (log.f64 -1) (log.f64 (+.f64 x x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x 0)) (log.f64 (+.f64 x x))))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (+.f64 (log.f64 (fma.f64 x x 0)) (log.f64 (+.f64 x x))))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 0) (-.f64 (log.f64 0) (log.f64 (+.f64 x x))))
(-.f64 (log.f64 0) (+.f64 (log.f64 0) (log.f64 (+.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) (+.f64 1 (log.f64 (+.f64 x x))))
(-.f64 (+.f64 0 (log.f64 -1/2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 -1/2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 -1)) (log.f64 (+.f64 x x)))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 0)) (log.f64 0))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
(-.f64 (+.f64 0 (log.f64 -1)) (log.f64 (+.f64 x x)))
(-.f64 (+.f64 0 (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(-.f64 (+.f64 0 (log.f64 0)) (log.f64 0))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
(-.f64 (+.f64 0 (log.f64 1/2)) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 1/2)) (log.f64 (neg.f64 x)))
(-.f64 (-.f64 (log.f64 (+.f64 x x)) (log.f64 2)) (log.f64 x))
(-.f64 (-.f64 (log.f64 (+.f64 x x)) 0) (log.f64 (+.f64 x x)))
(-.f64 (-.f64 0 (log.f64 2)) (log.f64 x))
(-.f64 (-.f64 (log.f64 -1/2) 0) (log.f64 x))
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 (log.f64 (+.f64 x x)) -1)
(*.f64 2 (log.f64 (+.f64 x x)))
(*.f64 -1 (log.f64 (+.f64 x x)))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2))) (log.f64 (+.f64 x x)))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 3))) (+.f64 (pow.f64 (log.f64 (+.f64 x x)) 2) 0))
(/.f64 (log.f64 (+.f64 x x)) 1)
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (log.f64 (+.f64 x x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 x x)) 2) 0))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) 1) (log.f64 (+.f64 x x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (sqrt.f64 (log.f64 (+.f64 x x)))) (sqrt.f64 (log.f64 (+.f64 x x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (cbrt.f64 (log.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2)) (cbrt.f64 (log.f64 (+.f64 x x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) -1) (log.f64 (+.f64 x x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (log.f64 (+.f64 x x)) 1)
(neg.f64 (log.f64 (+.f64 x x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(log1p.f64 (-.f64 (+.f64 x x) 1))

Outputs
(/.f64 -1/2 x)
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(*.f64 2 x)
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(*.f64 2 x)
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
-2
(*.f64 -2 x)
-2
(+.f64 (.f64 -2 x) (.f64 -8 (pow.f64 x 3)))
-2
(+.f64 (.f64 -2 x) (+.f64 (.f64 -32 (pow.f64 x 5)) (*.f64 -8 (pow.f64 x 3))))
-2
(+.f64 (.f64 -128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 -32 (pow.f64 x 5)) (.f64 -8 (pow.f64 x 3)))))
-2
(/.f64 1/2 x)
-2
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
1/8
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
5/32
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/128 (/.f64 1 (pow.f64 x 7))))))
21/128
(/.f64 1/2 x)
-2
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
1/8
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
5/32
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/128 (/.f64 1 (pow.f64 x 7))))))
21/128
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
-2
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
-2
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
-2
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
-2
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
-1/32
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
-7/192
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
-2
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
-2
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
-1/32
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
-7/192
(+.f64 x x)
-2
(+.f64 x (+.f64 x (+.f64 x x)))
-2
(+.f64 x (+.f64 (+.f64 x (+.f64 x x)) (+.f64 x x)))
-2
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(pow.f64 (+.f64 x x) 2)
-2
(pow.f64 (+.f64 x x) 3)
-2
(pow.f64 (+.f64 x x) -1)
-2
(pow.f64 (+.f64 x x) 1/2)
-2
(pow.f64 (+.f64 x x) -2)
-2
(pow.f64 (+.f64 x x) 1/3)
-2
(pow.f64 (E.f64) (log.f64 (+.f64 x x)))
-2
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2)) (cbrt.f64 (log.f64 (+.f64 x x))))
-2
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x x)))) (sqrt.f64 (log.f64 (+.f64 x x))))
-2
(neg.f64 (+.f64 x x))
-2
(sqrt.f64 (+.f64 x x))
-2
(fabs.f64 (+.f64 x x))
-2
(log.f64 (exp.f64 (+.f64 x x)))
-2
(log.f64 (/.f64 1 (exp.f64 (+.f64 x x))))
-2
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
-2
(log.f64 (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))
-2
(cbrt.f64 (+.f64 x x))
-2
(expm1.f64 (log1p.f64 (+.f64 x x)))
-2
(hypot.f64 (+.f64 x x) (+.f64 x x))
(hypot.f64 -2 -2)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(hypot.f64 -2 -2)
(exp.f64 (log.f64 (+.f64 x x)))
-2
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 3))
-2
(log1p.f64 (expm1.f64 (+.f64 x x)))
-2
(fma.f64 1 x x)
-2
(fma.f64 1 (+.f64 x x) (+.f64 x x))
-2
(fma.f64 -1/2 (/.f64 1 x) (+.f64 x x))
-2
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x x))
-2
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
-2
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
-2
(fma.f64 2 x (+.f64 x x))
-2
(+.f64 (log.f64 x) (log.f64 2))
-2
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
-2
(+.f64 (log.f64 (+.f64 x x)) 0)
-2
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
-2
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (+.f64 x x))))
-2
(+.f64 (log.f64 -1/2) (*.f64 1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 -1/2) (*.f64 (log.f64 (/.f64 1 x)) 1))
-2
(+.f64 (log.f64 2) (log.f64 x))
-2
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
-2
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (log.f64 (+.f64 x x))))
-2
(+.f64 0 (log.f64 (+.f64 x x)))
-2
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1/2))
-2
(+.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 2)) (log.f64 x))
-2
(+.f64 (+.f64 (log.f64 2) 0) (log.f64 x))
-2
(+.f64 (+.f64 (log.f64 2) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
-2
(+.f64 (+.f64 (log.f64 2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
-2
(+.f64 (+.f64 0 (log.f64 2)) (log.f64 x))
-2
(+.f64 (+.f64 0 (log.f64 -1/2)) (log.f64 (/.f64 1 x)))
-2
(+.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 -1/2)) (log.f64 (/.f64 1 x)))
-2
(+.f64 (-.f64 (log.f64 (+.f64 x x)) 0) (log.f64 (+.f64 x x)))
-2
(+.f64 (-.f64 (log.f64 (+.f64 x x)) (log.f64 -1)) (log.f64 (+.f64 x x)))
-2
(+.f64 (-.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
-2
(+.f64 (-.f64 (log.f64 (+.f64 x x)) (log.f64 0)) (log.f64 0))
-2
(+.f64 (-.f64 (log.f64 (+.f64 x x)) (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
-2
(+.f64 (-.f64 0 (log.f64 -1)) (log.f64 (+.f64 x x)))
-2
(+.f64 (-.f64 0 (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
-2
(+.f64 (-.f64 0 (log.f64 0)) (log.f64 0))
-2
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
-2
(+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (log.f64 x)))
-2
(+.f64 (.f64 (log.f64 2) -1) (.f64 (log.f64 x) -1))
-2
(-.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
-2
(-.f64 (log.f64 -1/2) (log.f64 x))
-2
(-.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (log.f64 (+.f64 x x))))
-2
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
-2
(-.f64 (log.f64 1/2) (-.f64 (log.f64 (neg.f64 x)) (log.f64 (+.f64 x x))))
-2
(-.f64 0 (log.f64 (+.f64 x x)))
-2
(-.f64 (log.f64 -1) (log.f64 (+.f64 x x)))
-2
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
-2
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x 0)) (log.f64 (+.f64 x x))))
-2
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (+.f64 (log.f64 (fma.f64 x x 0)) (log.f64 (+.f64 x x))))
-2
(-.f64 (log.f64 0) (log.f64 0))
-2
(-.f64 (log.f64 0) (-.f64 (log.f64 0) (log.f64 (+.f64 x x))))
-2
(-.f64 (log.f64 0) (+.f64 (log.f64 0) (log.f64 (+.f64 x x))))
-2
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
-2
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) (+.f64 1 (log.f64 (+.f64 x x))))
-2
(-.f64 (+.f64 0 (log.f64 -1/2)) (log.f64 x))
-2
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 -1/2)) (log.f64 x))
-2
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 -1)) (log.f64 (+.f64 x x)))
-2
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
-2
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 0)) (log.f64 0))
-2
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
-2
(-.f64 (+.f64 0 (log.f64 -1)) (log.f64 (+.f64 x x)))
-2
(-.f64 (+.f64 0 (log.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
-2
(-.f64 (+.f64 0 (log.f64 0)) (log.f64 0))
-2
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x))))) 1)
-2
(-.f64 (+.f64 0 (log.f64 1/2)) (log.f64 (neg.f64 x)))
-2
(-.f64 (+.f64 (log.f64 (+.f64 x x)) (log.f64 1/2)) (log.f64 (neg.f64 x)))
-2
(-.f64 (-.f64 (log.f64 (+.f64 x x)) (log.f64 2)) (log.f64 x))
-2
(-.f64 (-.f64 (log.f64 (+.f64 x x)) 0) (log.f64 (+.f64 x x)))
-2
(-.f64 (-.f64 0 (log.f64 2)) (log.f64 x))
-2
(-.f64 (-.f64 (log.f64 -1/2) 0) (log.f64 x))
-2
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
-2
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
-2
(*.f64 1 (log.f64 (+.f64 x x)))
-2
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
-2
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
-2
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
-2
(*.f64 (log.f64 (+.f64 x x)) 1)
-2
(*.f64 (log.f64 (+.f64 x x)) -1)
-2
(*.f64 2 (log.f64 (+.f64 x x)))
-2
(*.f64 -1 (log.f64 (+.f64 x x)))
-2
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2))) (log.f64 (+.f64 x x)))
-2
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 3))) (+.f64 (pow.f64 (log.f64 (+.f64 x x)) 2) 0))
-2
(/.f64 (log.f64 (+.f64 x x)) 1)
-2
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (log.f64 (+.f64 x x)))
-2
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 x x)) 2) 0))
-2
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) 1) (log.f64 (+.f64 x x)))
-2
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (sqrt.f64 (log.f64 (+.f64 x x)))) (sqrt.f64 (log.f64 (+.f64 x x))))
-2
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (cbrt.f64 (log.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
-2
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2)) (cbrt.f64 (log.f64 (+.f64 x x))))
-2
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x x)) 2)) -1) (log.f64 (+.f64 x x)))
-2
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
-2
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
-2
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
-2
(pow.f64 (log.f64 (+.f64 x x)) 1)
-2
(neg.f64 (log.f64 (+.f64 x x)))
-2
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
-2
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
-2
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
-2
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
-2
(log1p.f64 (-.f64 (+.f64 x x) 1))
(log1p.f64 -2)

localize9.0ms (0.1%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

eval721.0ms (7.8%)

Compiler: Compiled 16415 to 10013 computations (39% saved)

prune495.0ms (5.3%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	770	3	773
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	771	10	781

Error

100.0%

Counts

781 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.2%	(+.f64 1/2 (log.f64 x))
✓	99.6%	(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
▶	99.6%	(log.f64 (/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
✓	99.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	55.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	55.5%	(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
✓	99.3%	(log.f64 (+.f64 x x))
▶	18.8%	(log.f64 (sqrt.f64 (+.f64 x x)))
✓	31.3%	(log.f64 x)
	1.6%	-1/32

Compiler

Compiled 82 to 62 computations (24.4% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	100.0%	(log.f64 (sqrt.f64 (+.f64 x x)))

Compiler

Compiled 14 to 4 computations (71.4% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite127.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`add-sqr-sqrt`
1166×	`*-un-lft-identity`
1092×	`add-cube-cbrt`
1082×	`add-cbrt-cube`
1074×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	141	11
2	1860	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (+.f64 x x)))

Outputs

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

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate--r+`
994×	`associate-+l-`
890×	`+-commutative`
870×	`associate-r`
858×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	256
1	105	252
2	527	252
3	2847	252
4	5650	252

Stop Event

1×	node limit

Counts

22 → 29

Calls

Call 1

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

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

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	100.0%	(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
✓	100.0%	(log.f64 (/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
✓	99.7%	(/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
✓	99.5%	(/.f64 1 (pow.f64 x 3))

Compiler

Compiled 73 to 61 computations (16.4% saved)

series5.0ms (0.1%)

Counts

4 → 30

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (pow.f64 x 3))
1.0ms	x	@	0	(log.f64 (/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
0.0ms	x	@	inf	(log.f64 (/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
0.0ms	x	@	-inf	(log.f64 (/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
0.0ms	x	@	0	(/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))

rewrite236.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`associate-/r*`
670×	`distribute-rgt-in`
634×	`distribute-lft-in`
450×	`associate-/r/`
434×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	351	84
2	4199	84

Stop Event

1×	node limit

Counts

4 → 270

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -3/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 -1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x -2) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (pow.f64 (cbrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x 3/2) -1) (pow.f64 (pow.f64 x 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x -2) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3)))))))
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simplify411.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

932×	`associate-r`
718×	`associate-l`
704×	`fma-def`
640×	`*-commutative`
578×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	725	15852
1	1976	14282

Stop Event

1×	node limit

Counts

300 → 454

Calls

Call 1

Inputs
(*.f64 8 (pow.f64 x 3))
(+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 8 (pow.f64 x 3)) (+.f64 (.f64 -32 (pow.f64 x 5)) (.f64 -512 (pow.f64 x 9)))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (log.f64 8) (*.f64 3 (log.f64 x)))
(+.f64 (log.f64 8) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 3 (log.f64 x))))
(+.f64 (log.f64 8) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 3 (log.f64 x)) (*.f64 8 (pow.f64 x 4)))))
(+.f64 (log.f64 8) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 3 (log.f64 x)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 8 (pow.f64 x 4))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))) (/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))) (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))
(/.f64 -1 (/.f64 -1 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) -1)
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))) (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4))) (/.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)) (sqrt.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4)))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4))) (.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2) (sqrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2)) (/.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2) (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)))) (/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)))) (.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2) (sqrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))) (cbrt.f64 (neg.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))) (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4))) (cbrt.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4)))) (/.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)) (cbrt.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3))))) (/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))) (/.f64 -1 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (pow.f64 x -2) 1/4))) (neg.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4))) (.f64 1 (neg.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4))) (.f64 -1 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)))) (neg.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)))) (.f64 1 (neg.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)))) (.f64 -1 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 1/4) (/.f64 1/64 (pow.f64 x 6))) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))
(/.f64 (-.f64 (.f64 (pow.f64 x -2) 1/4) (/.f64 1/64 (pow.f64 x 6))) (.f64 1 (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))
(/.f64 (-.f64 (.f64 (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3))) (/.f64 1/64 (pow.f64 x 6))) (.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))) (-.f64 (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (pow.f64 (/.f64 1/2 x) 3))))
(/.f64 (-.f64 (.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/64 (pow.f64 x 6))) (/.f64 1/16 (.f64 (pow.f64 x 3) x))) (.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)) (+.f64 (.f64 (pow.f64 x -2) 1/4) (/.f64 1/64 (pow.f64 x 6)))))
(/.f64 (+.f64 (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (pow.f64 (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) 3)) (.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))) (+.f64 (.f64 (.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3))) (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (pow.f64 (/.f64 1/2 x) 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/64 (pow.f64 x 6)) 3) (pow.f64 (.f64 (pow.f64 x -2) 1/4) 3)) (.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)) (+.f64 (+.f64 (.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/64 (pow.f64 x 6))) (/.f64 1/16 (.f64 (pow.f64 x 3) x))) (.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4)))))
(/.f64 (+.f64 (.f64 1/8 x) (.f64 (pow.f64 x 3) 1/2)) (*.f64 (pow.f64 x 3) x))
(/.f64 (+.f64 (.f64 1/8 x) (.f64 (pow.f64 x 3) 1/2)) (.f64 1 (.f64 (pow.f64 x 3) x)))
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 x 1/8)) (*.f64 x (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 x 1/8)) (.f64 1 (.f64 x (pow.f64 x 3))))
(/.f64 (/.f64 1 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2)) (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (pow.f64 x -2) 1/4)))) (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3))))) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) -1)) (pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) -1))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 1) (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))))
(/.f64 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (pow.f64 x -2) 1/4)) 1) (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(/.f64 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (pow.f64 x -2) 1/4)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(/.f64 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4)) (.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(/.f64 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4)) (+.f64 (sqrt.f64 (/.f64 1/2 x)) (.f64 (sqrt.f64 1/8) (pow.f64 x -3/2)))) (-.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x -3/2)) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3))) 1) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3))) (sqrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))))) (sqrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))) (cbrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))))) (cbrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))))
(/.f64 (/.f64 (+.f64 (.f64 1/8 x) (.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 3)) x)
(/.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 x 1/8)) x) (pow.f64 x 3))
(pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))
(fma.f64 1 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))
(fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (pow.f64 (/.f64 1/2 x) 3))
(fma.f64 (/.f64 1 x) 1/2 (pow.f64 (/.f64 1/2 x) 3))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (pow.f64 (/.f64 1/2 x) 3))
(fma.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x -3/2)) (.f64 (sqrt.f64 1/8) (pow.f64 x -3/2)) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (/.f64 1/2 x) 3))
(fma.f64 (*.f64 (pow.f64 x -2) 1/4) (/.f64 1/2 x) (/.f64 1/2 x))

Outputs
(*.f64 8 (pow.f64 x 3))
(+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))
(fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))
(fma.f64 -32 (pow.f64 x 5) (*.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
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(-.f64 (/.f64 1/64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (pow.f64 x 6))) (/.f64 (pow.f64 x -2) (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) 1/4)))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (pow.f64 x -2) 1/4)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(-.f64 (/.f64 1/64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (pow.f64 x 6))) (/.f64 (pow.f64 x -2) (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) 1/4)))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4)) (.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(-.f64 (/.f64 1/64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (pow.f64 x 6))) (/.f64 (pow.f64 x -2) (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) 1/4)))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) 1/4)) (+.f64 (sqrt.f64 (/.f64 1/2 x)) (.f64 (sqrt.f64 1/8) (pow.f64 x -3/2)))) (-.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x -3/2)) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x -2))) (.f64 (-.f64 (.f64 (pow.f64 x -3/2) (sqrt.f64 1/8)) (sqrt.f64 (/.f64 1/2 x))) (+.f64 (sqrt.f64 (/.f64 1/2 x)) (.f64 (pow.f64 x -3/2) (sqrt.f64 1/8)))))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -2) -1/4)) (.f64 (fma.f64 (pow.f64 x -3/2) (sqrt.f64 1/8) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (*.f64 (pow.f64 x -3/2) (sqrt.f64 1/8)) (sqrt.f64 (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3))) 1) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 (pow.f64 (pow.f64 x -3) 3) 1/512)) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (.f64 (pow.f64 (pow.f64 x -3) 3) 1/512)) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) -1/8)) (/.f64 1/64 (pow.f64 x 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3))) (sqrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))))) (sqrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 (pow.f64 (pow.f64 x -3) 3) 1/512)) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (.f64 (pow.f64 (pow.f64 x -3) 3) 1/512)) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) -1/8)) (/.f64 1/64 (pow.f64 x 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (.f64 1/512 (pow.f64 (pow.f64 x -3) 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))) (cbrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))))) (cbrt.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 (pow.f64 (pow.f64 x -3) 3) 1/512)) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (fma.f64 1/8 (pow.f64 x -3) (.f64 (pow.f64 (pow.f64 x -3) 3) 1/512)) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) -1/8)) (/.f64 1/64 (pow.f64 x 6))))
(/.f64 (/.f64 (+.f64 (.f64 1/8 x) (.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 3)) x)
(/.f64 (fma.f64 1/2 (pow.f64 x 3) (*.f64 x 1/8)) (pow.f64 x 4))
(/.f64 (fma.f64 x 1/8 (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 4))
(/.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 x 1/8)) x) (pow.f64 x 3))
(/.f64 (fma.f64 1/2 (pow.f64 x 3) (*.f64 x 1/8)) (pow.f64 x 4))
(/.f64 (fma.f64 x 1/8 (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 4))
(pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) 1)
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 2)
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 3)
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) 3) 1/3)
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) 2))
(fabs.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)))))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x)) 3))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))) 1))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(fma.f64 1 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(fma.f64 (pow.f64 x -3) 1/8 (/.f64 1/2 x))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/2 (/.f64 1 x) (pow.f64 (/.f64 1/2 x) 3))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(fma.f64 (/.f64 1 x) 1/2 (pow.f64 (/.f64 1/2 x) 3))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (pow.f64 (/.f64 1/2 x) 3))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(fma.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x -3/2)) (.f64 (sqrt.f64 1/8) (pow.f64 x -3/2)) (/.f64 1/2 x))
(fma.f64 (.f64 (pow.f64 x -3/2) (sqrt.f64 1/8)) (.f64 (pow.f64 x -3/2) (sqrt.f64 1/8)) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (.f64 (sqrt.f64 1/8) (sqrt.f64 1/8))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (/.f64 1/2 x) 3))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))
(fma.f64 (*.f64 (pow.f64 x -2) 1/4) (/.f64 1/2 x) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))

eval562.0ms (6.1%)

Compiler: Compiled 12758 to 10536 computations (17.4% saved)

prune325.0ms (3.5%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	480	3	483
Fresh	1	0	1
Picked	1	0	1
Done	1	7	8
Total	483	10	493

Error

100.0%

Counts

493 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.2%	(+.f64 1/2 (log.f64 x))
	18.8%	(*.f64 (log.f64 (+.f64 x x)) 1/2)
	99.6%	(log.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))))
✓	99.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	55.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	55.5%	(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
✓	99.3%	(log.f64 (+.f64 x x))
✓	18.8%	(log.f64 (sqrt.f64 (+.f64 x x)))
✓	31.3%	(log.f64 x)
	3.1%	0

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes46.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

Inputs
-1/32
0
(log.f64 x)
(log.f64 (+.f64 x x))
(+.f64 1/2 (log.f64 x))
(*.f64 (log.f64 (+.f64 x x)) 1/2)
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (sqrt.f64 (+.f64 x x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
(log.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))))
(log.f64 (/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))

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

Calls

3 calls:

16.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
14.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
12.0ms	x

Results

Error	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.6%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 155 to 104 computations (32.9% saved)

regimes97.0ms (1%)

Counts

13 → 1

Calls

Call 1

Inputs
-1/32
0
(log.f64 x)
(log.f64 (+.f64 x x))
(+.f64 1/2 (log.f64 x))
(*.f64 (log.f64 (+.f64 x x)) 1/2)
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (sqrt.f64 (+.f64 x x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
(log.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))))
(log.f64 (/.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))

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

Calls

3 calls:

75.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
10.0ms	x
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.6%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 113 to 77 computations (31.9% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
-1/32
0
(log.f64 x)
(log.f64 (+.f64 x x))
(+.f64 1/2 (log.f64 x))
(*.f64 (log.f64 (+.f64 x x)) 1/2)

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
-1/32
0
(log.f64 x)

Outputs
(log.f64 x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
31.3%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes32.0ms (0.3%)

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1.00b (-1.6%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/32
0

Outputs
0

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
12×	`sub-neg`
8×	`neg-mul-1`
8×	`distribute-neg-frac`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	30	108
2	42	108
3	50	108
4	59	108
5	62	108
6	63	108

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
(log.f64 x)
0
-1/32

Outputs
(log.f64 (-.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x) (/.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
(log.f64 x)
0
-1/32

Compiler

Compiled 45 to 30 computations (33.3% saved)

soundness304.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

1696×	`associate-*r/`
1478×	`associate-*r/`
1166×	`associate-*l/`
900×	`+-commutative`
878×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	7059
1	1187	6589
2	4712	6553
0	389	7208
1	1127	6192
2	4945	6136

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 266 to 159 computations (40.2% saved)

end124.0ms (1.3%)

Compiler: Compiled 40 to 25 computations (37.5% saved)

Details

analyze0.0ms (0%)

sample1.4s (15.3%)

preprocess8.0ms (0.1%)

simplify267.0ms (2.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize22.0ms (0.2%)

series6.0ms (0.1%)

rewrite168.0ms (1.8%)

simplify213.0ms (2.3%)

localize25.0ms (0.3%)

series2.0ms (0%)

rewrite119.0ms (1.3%)

simplify146.0ms (1.6%)

eval438.0ms (4.7%)

prune105.0ms (1.1%)

localize8.0ms (0.1%)

localize33.0ms (0.4%)

series30.0ms (0.3%)

rewrite119.0ms (1.3%)

simplify96.0ms (1%)

localize28.0ms (0.3%)

series4.0ms (0%)

rewrite160.0ms (1.7%)

simplify167.0ms (1.8%)

localize47.0ms (0.5%)

series7.0ms (0.1%)

rewrite151.0ms (1.6%)

simplify155.0ms (1.7%)

eval406.0ms (4.4%)

prune167.0ms (1.8%)

localize5.0ms (0.1%)

localize56.0ms (0.6%)

series5.0ms (0.1%)

rewrite202.0ms (2.2%)

simplify318.0ms (3.4%)

localize44.0ms (0.5%)

series3.0ms (0%)

rewrite261.0ms (2.8%)

simplify163.0ms (1.8%)

localize9.0ms (0.1%)

eval721.0ms (7.8%)

prune495.0ms (5.3%)

localize10.0ms (0.1%)

series4.0ms (0%)

rewrite127.0ms (1.4%)

simplify92.0ms (1%)

localize52.0ms (0.6%)

series5.0ms (0.1%)

rewrite236.0ms (2.5%)

simplify411.0ms (4.4%)

eval562.0ms (6.1%)

prune325.0ms (3.5%)

regimes46.0ms (0.5%)

regimes97.0ms (1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes32.0ms (0.3%)

simplify11.0ms (0.1%)

soundness304.0ms (3.3%)

end124.0ms (1.3%)

Profiling