Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (25.9%)

Results

1.0s	8256×	body	256	valid
2.0ms	16×	body	256	invalid

Bogosity

preprocess152.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify156.0ms (4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.01%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize20.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite67.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`associate-/r*`
976×	`associate-/l*`
714×	`distribute-lft-in`
558×	`associate-/r/`
302×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	261	39
2	3680	39

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

Outputs

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

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1096×	`associate-r`
898×	`associate-l`
840×	`associate-*r/`
770×	`+-commutative`
630×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	2584
1	396	2348
2	1238	2276
3	5067	2244

Stop Event

1×	node limit

Counts

48 → 109

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 0)
(+.f64 0 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2)))
(+.f64 (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(+.f64 (.f64 1 (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (.f64 1 (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 3))) (log.f64 (+.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))) (*.f64 2 (log.f64 x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 3)))) (log.f64 (+.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) 1)
(-.f64 (-.f64 (log.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 x)) (log.f64 x))
(-.f64 (-.f64 (log.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) 0) (*.f64 2 (log.f64 x)))
(-.f64 (-.f64 (log.f64 (+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (cbrt.f64 (pow.f64 x 4)))) (log.f64 (pow.f64 (cbrt.f64 x) 2)))
(.f64 1 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 1)
(.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(.f64 2 (log.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(exp.f64 (.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) 1))
(log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (-.f64 (/.f64 1 x) 1)))

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

eval42.0ms (1.1%)

Compiler: Compiled 2225 to 1623 computations (27.1% saved)

prune16.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Error

Counts

110 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.84%	(-.f64 (log.f64 2) (log.f64 x))
▶	0.52%	(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 -1/4 (.f64 x x)))
▶	0%	(log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (-.f64 (/.f64 1 x) 1)))
✓	0.01%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	100%	(log.f64 (sqrt.f64 -1))

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize24.0ms (0.6%)

Compiler: Compiled 62 to 37 computations (40.3% saved)

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 -1/4 (.f64 x x))
✓	0.01%	(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 -1/4 (.f64 x x)))
✓	0.29%	(-.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 32 to 18 computations (43.8% saved)

series51.0ms (1.3%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(-.f64 (log.f64 2) (log.f64 x))
9.0ms	x	@	-inf	(-.f64 (log.f64 2) (log.f64 x))
6.0ms	x	@	inf	(-.f64 (log.f64 2) (log.f64 x))
0.0ms	x	@	inf	(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 -1/4 (.f64 x x)))
0.0ms	x	@	inf	(.f64 -1/4 (.f64 x x))

rewrite107.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`distribute-lft-in`
1028×	`associate-*r/`
920×	`associate-*l/`
630×	`associate-+l+`
274×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	258	49
2	3433	49

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

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

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/4 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (neg.f64 (+.f64 (log.f64 x) (*.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/4)) (*.f64 x (sqrt.f64 -1/4)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (*.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (+.f64 (log.f64 x) (*.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/16 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/4 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/4 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/4 (*.f64 x x))))))))

simplify130.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

804×	`associate-r`
736×	`associate-/l*`
684×	`associate-l`
526×	`+-commutative`
520×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	631	16182
1	1815	15246

Stop Event

1×	node limit

Counts

270 → 366

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.29%	(-.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval258.0ms (6.6%)

Compiler: Compiled 14825 to 10395 computations (29.9% saved)

prune86.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	517	6	523
Fresh	0	0	0
Picked	0	1	1
Done	3	1	4
Total	520	8	528

Error

Counts

528 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.78%	(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
▶	0.24%	(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))
✓	0.84%	(-.f64 (log.f64 2) (log.f64 x))
	0.46%	(+.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x)))) (.f64 -1/4 (.f64 x x)))
▶	97.36%	(.f64 -1/4 (.f64 x x))
▶	0.56%	(log1p.f64 (-.f64 (/.f64 2 x) 1))
▶	0.56%	(log.f64 (/.f64 2 x))
✓	0.01%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 126 to 99 computations (21.4% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(log.f64 (/.f64 2 x))
✓	0.01%	(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))
✓	0.01%	(.f64 1/4 (.f64 x x))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series37.0ms (1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
5.0ms	x	@	inf	(log.f64 (/.f64 2 x))
4.0ms	x	@	0	(log.f64 (/.f64 2 x))
4.0ms	x	@	0	(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))
2.0ms	x	@	-inf	(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))

rewrite98.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`*-commutative`
828×	`associate-*r/`
610×	`associate-*l/`
518×	`distribute-lft-in`
516×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	241	53
2	3069	53

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

Outputs

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

simplify164.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1296×	`associate-+l+`
1190×	`associate--r+`
1040×	`associate-+r+`
612×	`+-commutative`
576×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	555	14845
1	1428	14403
2	7578	14403

Stop Event

1×	node limit

Counts

269 → 333

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.01%	(.f64 -1/4 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.01%	(log.f64 (/.f64 2 x))

Compiler

Compiled 10 to 7 computations (30% saved)

localize8.0ms (0.2%)

Compiler: Compiled 18 to 14 computations (22.2% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(log.f64 (/.f64 2 x))
✓	0.41%	(/.f64 1 (log.f64 (/.f64 2 x)))
✓	0.43%	(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))

Compiler

Compiled 25 to 20 computations (20% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`add-sqr-sqrt`
1622×	`*-un-lft-identity`
1512×	`add-cube-cbrt`
1498×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	208	28
2	2183	28

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1556×	`associate-r`
1424×	`associate-+r+`
1270×	`associate-+l+`
1264×	`associate-l`
548×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1338
1	264	1308
2	909	1300
3	6438	1300

Stop Event

1×	node limit

Counts

80 → 71

Calls

Call 1

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

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

eval221.0ms (5.6%)

Compiler: Compiled 11683 to 8920 computations (23.6% saved)

prune83.0ms (2.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	552	1	553
Fresh	0	1	1
Picked	0	1	1
Done	1	5	6
Total	553	8	561

Error

Counts

561 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.78%	(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
✓	0.24%	(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))
✓	0.84%	(-.f64 (log.f64 2) (log.f64 x))
▶	0.46%	(+.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x)))) (.f64 -1/4 (.f64 x x)))
✓	97.36%	(.f64 -1/4 (.f64 x x))
▶	0.56%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	0.56%	(log.f64 (/.f64 2 x))
✓	0.01%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize10.0ms (0.2%)

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

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x)))) (.f64 -1/4 (.f64 x x)))
	0.01%	(.f64 -1/4 (.f64 x x))
	0.41%	(/.f64 1 (log.f64 (/.f64 2 x)))
	0.43%	(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))

Compiler

Compiled 48 to 34 computations (29.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite90.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`associate-*r/`
1206×	`associate-*l/`
676×	`associate-/r*`
586×	`distribute-lft-in`
370×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	304	25
2	3538	25

Stop Event

1×	node limit

Counts

1 → 94

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (-.f64 (log.f64 x) (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -2) (-.f64 (log.f64 (neg.f64 x)) (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) (-.f64 1 (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/4)))) (-.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (*.f64 x x)))) (/.f64 1/16 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (*.f64 x x))) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 2) 1) (-.f64 (/.f64 (log.f64 x) 1) (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) 0) (log.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (/.f64 2 x)) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 -2)) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (/.f64 (log.f64 2) 1)) (/.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 2)) 0) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 2)) (log.f64 (cbrt.f64 (*.f64 x x)))) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 2)) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 1/16 (pow.f64 x 4))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (*.f64 x x)))) (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 1/16 (pow.f64 x 4))) (-.f64 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(*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 2 x) (pow.f64 (exp.f64 -1/4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/4 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/4)) (*.f64 x (sqrt.f64 -1/4)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule 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simplify98.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1696×	`associate-/r*`
836×	`associate-+l+`
772×	`associate-/r/`
722×	`associate-+r+`
584×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	296	8204
1	865	7054
2	4157	7054

Stop Event

1×	node limit

Counts

106 → 170

Calls

Call 1

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

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

eval332.0ms (8.4%)

Compiler: Compiled 7087 to 5276 computations (25.6% saved)

prune229.0ms (5.8%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	256	8	264

Error

Counts

264 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.78%	(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
✓	0.24%	(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))
✓	0.84%	(-.f64 (log.f64 2) (log.f64 x))
✓	0.46%	(+.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x)))) (.f64 -1/4 (.f64 x x)))
✓	97.36%	(.f64 -1/4 (.f64 x x))
✓	0.56%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	0.56%	(log.f64 (/.f64 2 x))
✓	0.01%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 72 to 56 computations (22.2% saved)

regimes25.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 -1/4 (.f64 x x))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))
(+.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x)))) (.f64 -1/4 (.f64 x x)))
(log.f64 (sqrt.f64 -1))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 -1/4 (.f64 x x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (-.f64 (/.f64 1 x) 1)))

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

Calls

3 calls:

8.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
8.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
6.0ms	x

Results

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

Compiler

Compiled 129 to 90 computations (30.2% saved)

regimes45.0ms (1.1%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 -1/4 (.f64 x x))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))
(+.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x)))) (.f64 -1/4 (.f64 x x)))
(log.f64 (sqrt.f64 -1))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 -1/4 (.f64 x x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

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

Calls

3 calls:

28.0ms	x
9.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0.01%	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 114 to 80 computations (29.8% saved)

regimes8.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 -1/4 (.f64 x x))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))
(+.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x)))) (.f64 -1/4 (.f64 x x)))
(log.f64 (sqrt.f64 -1))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 -1/4 (.f64 x x)))

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.24%	1	`x`

Compiler

Compiled 74 to 53 computations (28.4% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 -1/4 (.f64 x x))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.56%	1	`x`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes5.0ms (0.1%)

Accuracy

Total -61.9b remaining (-17210.8%)

Threshold costs -61.9b (-17210.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(log.f64 (/.f64 2 x))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.56%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	152
1	48	152
2	64	152
3	71	152
4	74	152

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (-.f64 (/.f64 1 x) 1)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(.f64 -1/4 (.f64 x x))

Outputs
(log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (-.f64 (/.f64 1 x) 1)))
(log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x)))
(-.f64 (log.f64 (/.f64 2 x)) (.f64 1/4 (.f64 x x)))
(+.f64 (log.f64 (/.f64 2 x)) (.f64 (.f64 x x) -1/4))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(.f64 -1/4 (.f64 x x))
(.f64 (.f64 x x) -1/4)

Compiler

Compiled 58 to 43 computations (25.9% saved)

soundness0.0ms (0%)

end57.0ms (1.5%)

Compiler: Compiled 53 to 35 computations (34% saved)

Details

analyze4.0ms (0.1%)

sample1.0s (25.9%)

preprocess152.0ms (3.9%)

simplify156.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.5%)

series3.0ms (0.1%)

rewrite67.0ms (1.7%)

simplify68.0ms (1.7%)

eval42.0ms (1.1%)

prune16.0ms (0.4%)

localize3.0ms (0.1%)

localize24.0ms (0.6%)

localize16.0ms (0.4%)

series51.0ms (1.3%)

rewrite107.0ms (2.7%)

simplify130.0ms (3.3%)

localize10.0ms (0.2%)

eval258.0ms (6.6%)

prune86.0ms (2.2%)

localize13.0ms (0.3%)

series37.0ms (1%)

rewrite98.0ms (2.5%)

simplify164.0ms (4.2%)

localize4.0ms (0.1%)

localize6.0ms (0.2%)

localize8.0ms (0.2%)

localize13.0ms (0.3%)

series2.0ms (0%)

rewrite57.0ms (1.5%)

simplify64.0ms (1.6%)

eval221.0ms (5.6%)

prune83.0ms (2.1%)

localize10.0ms (0.2%)

localize21.0ms (0.5%)

series0.0ms (0%)

rewrite90.0ms (2.3%)

simplify98.0ms (2.5%)

eval332.0ms (8.4%)

prune229.0ms (5.8%)

regimes25.0ms (0.6%)

regimes45.0ms (1.1%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

simplify7.0ms (0.2%)

soundness0.0ms (0%)

end57.0ms (1.5%)

Profiling