Details

analyze101.0ms (2.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.7s (46.7%)

Results

896.0ms	8256×	body	256	valid
689.0ms	7309×	body	256	infinite
90.0ms	1014×	body	256	invalid

Bogosity

preprocess128.0ms (3.5%)

Algorithm

2×	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
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify128.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.0b	(-.f64 (*.f64 x x) 1)
✓	30.2b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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	@	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))

rewrite81.0ms (2.2%)

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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4) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (-.f64 (.f64 (.f64 x x) (pow.f64 x 6)) (.f64 (fma.f64 x x 1) (fma.f64 x x 1)))) (-.f64 (pow.f64 x 4) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (fma.f64 x x 1) 3))) (+.f64 (.f64 (.f64 x x) (pow.f64 x 6)) (.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) (.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x -1) 1/2)))))) (#(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)))))))

simplify104.0ms (2.9%)

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)))

eval128.0ms (3.5%)

Compiler: Compiled 6164 to 4560 computations (26% saved)

prune53.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	319	3	322
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	319	4	323

Error

Counts

323 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
▶	0.5b	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	32.5b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	0.8b	(log.f64 (+.f64 x x))

Compiler

Compiled 36 to 25 computations (30.6% saved)

localize5.0ms (0.1%)

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

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (2.2%)

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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Outputs

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((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))))))

simplify108.0ms (3%)

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

localize23.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓	0.0b	(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	30.2b	(sqrt.f64 (fma.f64 x x -1))

Compiler

Compiled 48 to 31 computations (35.4% saved)

series4.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

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

rewrite83.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`*-commutative`
728×	`unswap-sqr`
508×	`swap-sqr`
506×	`distribute-lft-in`
490×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	218	63
2	2658	63

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

Outputs

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

simplify43.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

312×	`associate-r`
286×	`associate-l`
274×	`fma-def`
224×	`*-commutative`
174×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	917
1	792	917
2	3473	917

Stop Event

1×

unsound

Counts

143 → 148

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

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

eval166.0ms (4.6%)

Compiler: Compiled 9322 to 6500 computations (30.3% saved)

prune59.0ms (1.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	384	1	385
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	384	5	389

Error

Counts

389 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
▶	0.5b	(log.f64 (-.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)))
✓	0.5b	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	32.5b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.8b	(log.f64 (+.f64 x x))

Compiler

Compiled 61 to 41 computations (32.8% saved)

localize38.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (-.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)))
✓	0.0b	(/.f64 (+.f64 x (/.f64 1/2 x)) x)
✓	0.1b	(.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))
✓	0.3b	(/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)))

Compiler

Compiled 111 to 62 computations (44.1% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite151.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`associate-/r/`
504×	`associate-+l+`
388×	`add-sqr-sqrt`
386×	`+-commutative`
376×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	146
1	374	146
2	5768	146

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 1 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 x (sqrt.f64 (+.f64 x (/.f64 1/2 x))))) (/.f64 1/2 (.f64 x (sqrt.f64 (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)))) (cbrt.f64 (/.f64 1/16 (pow.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/16 (pow.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)) 2))) (cbrt.f64 (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (+.f64 x (/.f64 1/2 x))) (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/4 (/.f64 1 (.f64 (+.f64 x (/.f64 1/2 x)) (neg.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x (/.f64 1/2 x))) (/.f64 1/4 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x x)) (/.f64 1/4 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (sqrt.f64 (+.f64 x (/.f64 1/2 x))))) (/.f64 1/4 (.f64 x (sqrt.f64 (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))) 2)) (/.f64 1/4 (cbrt.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 x (/.f64 1/2 x)) (neg.f64 (.f64 x x)))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (.f64 (.f64 x x) (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))))) (-.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (.f64 (.f64 x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))) (.f64 x x))) (-.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (.f64 x x))) (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (.f64 x x)) 1) (/.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (.f64 x x)) 1) (/.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (.f64 x x)) (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x)))) (-.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (.f64 x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (.f64 x x)) (neg.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))))) (neg.f64 (-.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (.f64 x x)) (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (neg.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (.f64 x x)) (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x))) (-.f64 (/.f64 1/2 x) x))))) 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2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))))))) 2) (cbrt.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 (+.f64 x (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (-.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 1/4 (.f64 (+.f64 x (/.f64 1/2 x)) (.f64 x x)))) (-.f64 x 1)))))))

simplify103.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1008×	`associate-/l/`
778×	`associate-/r/`
746×	`+-commutative`
666×	`associate-+l+`
614×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	437	8028
1	1198	6836
2	4930	6836

Stop Event

1×	node limit

Counts

186 → 260

Calls

Call 1

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

Outputs
(/.f64 1/2 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 2 (pow.f64 x 3) (-.f64 (/.f64 1/2 x) 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)))))
(fma.f64 2 (pow.f64 x 3) (+.f64 (-.f64 (/.f64 1/2 x) x) (*.f64 -4 (pow.f64 x 5))))
(fma.f64 2 (pow.f64 x 3) (-.f64 (fma.f64 -4 (pow.f64 x 5) (/.f64 1/2 x)) x))
(/.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 1/4 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 5)))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/8 (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 1/16 (pow.f64 x 7)) (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 7)) (/.f64 -1/8 (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 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 7))) (+.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/32 (pow.f64 x 9))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/32 (pow.f64 x 9)))))
(/.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 1/4 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 5)))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/8 (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 1/16 (pow.f64 x 7)) (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 7)) (/.f64 -1/8 (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 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 7))) (+.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/32 (pow.f64 x 9))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/32 (pow.f64 x 9)))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (pow.f64 x 3))
(fma.f64 1/2 x (pow.f64 x 3))
(*.f64 x (fma.f64 x x 1/2))
(+.f64 (*.f64 1/2 x) (pow.f64 x 3))
(fma.f64 1/2 x (pow.f64 x 3))
(*.f64 x (fma.f64 x x 1/2))
(+.f64 (*.f64 1/2 x) (pow.f64 x 3))
(fma.f64 1/2 x (pow.f64 x 3))
(*.f64 x (fma.f64 x x 1/2))
(pow.f64 x 3)
(+.f64 (*.f64 1/2 x) (pow.f64 x 3))
(fma.f64 1/2 x (pow.f64 x 3))
(*.f64 x (fma.f64 x x 1/2))
(+.f64 (*.f64 1/2 x) (pow.f64 x 3))
(fma.f64 1/2 x (pow.f64 x 3))
(*.f64 x (fma.f64 x x 1/2))
(+.f64 (*.f64 1/2 x) (pow.f64 x 3))
(fma.f64 1/2 x (pow.f64 x 3))
(*.f64 x (fma.f64 x x 1/2))
(pow.f64 x 3)
(+.f64 (*.f64 1/2 x) (pow.f64 x 3))
(fma.f64 1/2 x (pow.f64 x 3))
(*.f64 x (fma.f64 x x 1/2))
(+.f64 (*.f64 1/2 x) (pow.f64 x 3))
(fma.f64 1/2 x (pow.f64 x 3))
(*.f64 x (fma.f64 x x 1/2))
(+.f64 (*.f64 1/2 x) (pow.f64 x 3))
(fma.f64 1/2 x (pow.f64 x 3))
(*.f64 x (fma.f64 x x 1/2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.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 -4 (.f64 x x))) (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))))
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eval115.0ms (3.2%)

Compiler: Compiled 7903 to 5053 computations (36.1% saved)

prune80.0ms (2.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	260	5	265

Error

Counts

265 → 5

Alt Table

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Status	Error	Program
✓	32.5b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	0.5b	(log.f64 (-.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)))
✓	0.5b	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	32.5b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.8b	(log.f64 (+.f64 x x))

Compiler

Compiled 61 to 41 computations (32.8% saved)

regimes14.0ms (0.4%)

Accuracy

Total -32.8b remaining (-6172.6%)

Threshold costs -32.8b (-6172.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 78 to 50 computations (35.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	14	34
2	22	34
3	24	34
4	25	34

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness81.0ms (2.2%)

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

Compiler

Compiled 29 to 20 computations (31% saved)

end18.0ms (0.5%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

Details

analyze101.0ms (2.8%)

sample1.7s (46.7%)

preprocess128.0ms (3.5%)

simplify128.0ms (3.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

rewrite81.0ms (2.2%)

simplify104.0ms (2.9%)

eval128.0ms (3.5%)

prune53.0ms (1.5%)

localize5.0ms (0.1%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

rewrite80.0ms (2.2%)

simplify108.0ms (3%)

localize23.0ms (0.6%)

series4.0ms (0.1%)

rewrite83.0ms (2.3%)

simplify43.0ms (1.2%)

eval166.0ms (4.6%)

prune59.0ms (1.6%)

localize38.0ms (1%)

series4.0ms (0.1%)

rewrite151.0ms (4.2%)

simplify103.0ms (2.8%)

eval115.0ms (3.2%)

prune80.0ms (2.2%)

regimes14.0ms (0.4%)

simplify4.0ms (0.1%)

soundness81.0ms (2.2%)

end18.0ms (0.5%)

Profiling